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| 商品 | 説明 | 価格 |
|---|---|---|
 Differential Geometry and Mathematical Physics Part II. Fibre Bundles, Topology and Gauge Fields【電子書籍】[ Gerd Rudolph ] 楽天Kobo電子書籍ストア | ＜p＞The book is devoted to the study of the geometrical and topological structure of gauge theories. It consists of the following three building blocks:＜/p＞ ＜p＞- Geometry and topology of fibre bundles,＜/p＞ ＜p＞- Clifford algebras, spin structures and Dirac operators,＜/p＞ ＜p＞- Gauge theory.＜/p＞ ＜p＞Written in the style of a mathematical textbook, it combines a comprehensive presentation of the mathematical foundations with a discussion of a variety of advanced topics in gauge theory.＜/p＞ ＜p＞The first building block includes a number of specific topics, like invariant connections, universal connections, H-structures and the Postnikov approximation of classifying spaces.＜/p＞ ＜p＞Given the great importance of Dirac operators in gauge theory, a complete proof of the Atiyah-Singer Index Theorem is presented. The gauge theory part contains the study of Yang-Mills equations (including the theory of instantons and the classical stability analysis), the discussion of variousmodels with matter fields (including magnetic monopoles, the Seiberg-Witten model and dimensional reduction) and the investigation of the structure of the gauge orbit space. The final chapter is devoted to elements of quantum gauge theory including the discussion of the Gribov problem, anomalies and the implementation of the non-generic gauge orbit strata in the framework of Hamiltonian lattice gauge theory.＜/p＞ ＜p＞The book is addressed both to physicists and mathematicians. It is intended to be accessible to students starting from a graduate level.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 | 30,386円 |
 Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations【電子書籍】[ J?zef Bana? ] 楽天Kobo電子書籍ストア | ＜p＞This book deals with the study of sequence spaces, matrix transformations, measures of noncompactness and their various applications. The notion of measure of noncompactness is one of the most useful ones available and has many applications. The book discusses some of the existence results for various types of differential and integral equations with the help of measures of noncompactness; in particular, the Hausdorff measure of noncompactness has been applied to obtain necessary and sufficient conditions for matrix operators between BK spaces to be compact operators.＜/p＞ ＜p＞The book consists of eight self-contained chapters. Chapter 1 discusses the theory of FK spaces and Chapter 2 various duals of sequence spaces, which are used to characterize the matrix classes between these sequence spaces (FK and BK spaces) in Chapters 3 and 4. Chapter 5 studies the notion of a measure of noncompactness and its properties. The techniques associated with measures of noncompactness are applied to characterize the compact matrix operators in Chapters 6. In Chapters 7 and 8, some of the existence results are discussed for various types of differential and integral equations, which are obtained with the help of argumentations based on compactness conditions.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 | 12,154円 |
 Distributions, Partial Differential Equations, and Harmonic Analysis【電子書籍】[ Dorina Mitrea ] 楽天Kobo電子書籍ストア | ＜p＞The aim of this book is to offer, in a concise, rigorous, and largely self-contained manner, a rapid introduction to the theory of distributions and its applications to partial differential equations and harmonic analysis. The book is written in a format suitable for a graduate course spanning either over one-semester, when the focus is primarily on the foundational aspects, or over a two-semester period that allows for the proper amount of time to cover all intended applications as well. It presents a balanced treatment of the topics involved, and contains a large number of exercises (upwards of two hundred, more than half of which are accompanied by solutions), which have been carefully chosen to amplify the effect, and substantiate the power and scope, of the theory of distributions. Graduate students, professional mathematicians, and scientifically trained people with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-studyguide. Throughout, a special effort has been made to develop the theory of distributions not as an abstract edifice but rather give the reader a chance to see the rationale behind various seemingly technical definitions, as well as the opportunity to apply the newly developed tools (in the natural build-up of the theory) to concrete problems in partial differential equations and harmonic analysis, at the earliest opportunity.＜/p＞ ＜p＞The main additions to the current, second edition, pertain to fundamental solutions (through the inclusion of the Helmholtz operator, the perturbed Dirac operator, and their iterations) and the theory of Sobolev spaces (built systematically from the ground up, exploiting natural connections with the Fourier Analysis developed earlier in the monograph).＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 | 7,900円 |
 Differential Games in Industrial Economics【電子書籍】[ Luca Lambertini ] 楽天Kobo電子書籍ストア | ＜p＞Game theory has revolutionised our understanding of industrial organisation and the traditional theory of the firm. Despite these advances, industrial economists have tended to rely on a restricted set of tools from game theory, focusing on static and repeated games to analyse firm structure and behaviour. Luca Lambertini, a leading expert on the application of differential game theory to economics, argues that many dynamic phenomena in industrial organisation (such as monopoly, oligopoly, advertising, R&D races) can be better understood and analysed through the use of differential games. After illustrating the basic elements of the theory, Lambertini guides the reader through the main models, spanning from optimal control problems describing the behaviour of a monopolist through to oligopoly games in which firms' strategies include prices, quantities and investments. This approach will be of great value to students and researchers in economics and those interested in advanced applications of game theory.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 | 5,546円 |
 Differential Geometry and Its Visualization【電子書籍】[ Eberhard Malkowsky ] 楽天Kobo電子書籍ストア | ＜p＞＜em＞＜strong＞Differential Geometry and Its Visualization＜/strong＞＜/em＞ is suitable for graduate level courses in differential geometry, serving both students and teachers. It can also be used as a supplementary reference for research in mathematics and the natural and engineering sciences.＜/p＞ ＜p＞Differential geometry is the study of geometric objects and their properties using the methods of mathematical analysis. The classical theory of curves and surfaces in three-dimensional Euclidean space is presented in the first three chapters. The abstract and modern topics of tensor algebra, Riemannian spaces and tensor analysis are studied in the last two chapters. A great number of illustrating examples, visualizations and genuine figures created by the authors’ own software are included to support the understanding of the presented concepts and results, and to develop an adequate perception of the shapes of geometric objects, their properties and the relations between them.＜/p＞ ＜p＞＜strong＞Features＜/strong＞＜/p＞ ＜ul＞ ＜li＞Extensive, full colour visualisations＜/li＞ ＜li＞Numerous exercises＜/li＞ ＜li＞Self-contained and comprehensive treatment of the topic＜/li＞ ＜/ul＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 | 19,348円 |
 Exercises of Partial Differential Equations【電子書籍】[ Simone Malacrida ] 楽天Kobo電子書籍ストア | ＜p＞In this book, exercises are carried out regarding the following mathematical topics:＜br /＞ solving first-order partial-derivative differential equations＜br /＞ solving second-order partial derivative differential equations: elliptic, parabolic and hyperbolic＜br /＞ weak problem formulation＜br /＞ Initial theoretical hints are also presented to make the conduct of the exercises understandable.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 | 400円 |
 Fractional Partial Differential Equations【電子書籍】[ Yong Zhou ] 楽天Kobo電子書籍ストア | ＜p＞This monograph offers a comprehensive exposition of the theory surrounding time-fractional partial differential equations, featuring recent advancements in fundamental techniques and results. The topics covered encompass crucial aspects of the theory, such as well-posedness, regularity, approximation, and optimal control. The book delves into the intricacies of fractional Navier?Stokes equations, fractional Rayleigh?Stokes equations, fractional Fokker?Planck equations, and fractional Schr?dinger equations, providing a thorough exploration of these subjects. Numerous real-world applications associated with these equations are meticulously examined, enhancing the practical relevance of the presented concepts.＜/p＞ ＜p＞The content in this monograph is based on the research works carried out by the author and other excellent experts during the past five years. Rooted in the latest advancements, it not only serves as a valuable resource for understanding the theoretical foundations but also lays the groundwork for delving deeper into the subject and navigating the extensive research landscape. Geared towards researchers, graduate students, and PhD scholars specializing in differential equations, applied analysis, and related research domains, this monograph facilitates a nuanced understanding of time-fractional partial differential equations and their broader implications.＜/p＞ ＜p＞＜strong＞Contents:＜/strong＞＜/p＞ ＜ul＞ ＜li＞Preface＜/li＞ ＜li＞About the Author＜/li＞ ＜li＞Introduction＜/li＞ ＜li＞Preliminaries＜/li＞ ＜li＞Fractional Navier?Stokes Equations＜/li＞ ＜li＞Fractional Rayleigh?Stokes Equations＜/li＞ ＜li＞Fractional Fokker?Planck Equations＜/li＞ ＜li＞Fractional Schr?dinger Equations＜/li＞ ＜li＞Bibliography＜/li＞ ＜li＞Index＜/li＞ ＜/ul＞ ＜p＞＜strong＞Readership:＜/strong＞ Mathematicians and graduate students for research, seminars, and advanced graduate courses in pure and applied mathematics. The researchers using fractional calculus as a tool in the fields of physics, mechanics, engineering, biology, and graduate students for research, seminars, and advanced graduate courses, in physics, mechanics, engineering, biology, and related disciplines.＜br /＞ ＜strong＞Key Features:＜/strong＞＜/p＞ ＜ul＞ ＜li＞There were very few books in the literature presenting systematically the theory of fractional partial differential equations so far＜/li＞ ＜li＞This book provides a broad scenario of the theory of fractional PDEs and complements the existing literature in fractional calculus＜/li＞ ＜li＞The author provides the necessary background material required to go further into the subject and explore the rich research literature＜/li＞ ＜li＞The materials in this book are based on the recent research work done so far by the author and other experts. The contents of the book are systematic and rich＜/li＞ ＜/ul＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 | 13,978円 |
 Differential Geometry with Applications to Mechanics and Physics【電子書籍】[ Yves Talpaert ] 楽天Kobo電子書籍ストア | ＜p＞An introduction to differential geometry with applications to mechanics and physics. It covers topology and differential calculus in banach spaces; differentiable manifold and mapping submanifolds; tangent vector space; tangent bundle, vector field on manifold, Lie algebra structure, and one-parameter group of diffeomorphisms; exterior differential＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 | 68,522円 |
 Applied Stochastic Differential Equations【電子書籍】[ Simo S?rkk? ] 楽天Kobo電子書籍ストア | ＜p＞Stochastic differential equations are differential equations whose solutions are stochastic processes. They exhibit appealing mathematical properties that are useful in modeling uncertainties and noisy phenomena in many disciplines. This book is motivated by applications of stochastic differential equations in target tracking and medical technology and, in particular, their use in methodologies such as filtering, smoothing, parameter estimation, and machine learning. It builds an intuitive hands-on understanding of what stochastic differential equations are all about, but also covers the essentials of It? calculus, the central theorems in the field, and such approximation schemes as stochastic Runge?Kutta. Greater emphasis is given to solution methods than to analysis of theoretical properties of the equations. The book's practical approach assumes only prior understanding of ordinary differential equations. The numerous worked examples and end-of-chapter exercises include application-driven derivations and computational assignments. MATLAB/Octave source code is available for download, promoting hands-on work with the methods.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 | 6,449円 |
 Elgenfunction Expansions Associated with Second Order Differential Equations【電子書籍】[ E. C. Titchmarsh ] 楽天Kobo電子書籍ストア | ＜p＞The idea of expanding an arbitrary function in terms of the solutions of a second-order differential equation goes back to the time of Sturm and Liouville, more than a hundred years ago. The first satisfactory proofs were constructed by various authors early in the twentieth century. Later, a general theory of the singular cases was given by Weyl, who-based i on the theory of integral equations. An alternative method, proceeding via the general theory of linear operators in Hilbert space, is to be found in the treatise by Stone on this subject. Here I have adopted still another method. Proofs of these expansions by means of contour integration and the calculus of residues were given by Cauchy, and this method has been used by several authors in the ordinary Sturm-Liouville case. It is applied here to the general singular case. It is thus possible to avoid both the theory of integral equations and the general theory of linear operators, though of course we are sometimes doing no more than adapt the latter theory to the particular case considered. The ordinary Sturm-Liouville expansion is now well known. I therefore dismiss it as rapidly as possible, and concentrate on the singular cases, a class which seems to include all the most interesting examples. In order to present a clear-cut theory in a reasonable space, I have had to reject firmly all generalizations. Many of the arguments used extend quite easily to other cases, such as that of two simultaneous first-order equations. It seems that physicists are interested in some aspects of these questions. If any physicist finds here anything that he wishes to know, I shall indeed be delighted but it is to mathematicians that the book is addressed. I believe in the future of mathematics for physicists, but it seems desirable that a writer on this subject should understand physics as well as mathematics.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 | 1,122円 |
 Yosida Approximations of Stochastic Differential Equations in Infinite Dimensions and Applications【電子書籍】[ T. E. Govindan ] 楽天Kobo電子書籍ストア | ＜p＞This research monograph brings together, for the first time, the varied literature on Yosida approximations of stochastic differential equations (SDEs) in infinite dimensions and their applications into a single cohesive work. The author provides a clear and systematic introduction to the Yosida approximation method and justifies its power by presenting its applications in some practical topics such as stochastic stability and stochastic optimal control. The theory assimilated spans more than 35 years of mathematics, but is developed slowly and methodically in digestible pieces.＜/p＞ ＜p＞The book begins with a motivational chapter that introduces the reader to several different models that play recurring roles throughout the book as the theory is unfolded, and invites readers from different disciplines to see immediately that the effort required to work through the theory that follows is worthwhile. From there, the author presents the necessary prerequisite material, and then launchesthe reader into the main discussion of the monograph, namely, Yosida approximations of SDEs, Yosida approximations of SDEs with Poisson jumps, and their applications. Most of the results considered in the main chapters appear for the first time in a book form, and contain illustrative examples on stochastic partial differential equations. The key steps are included in all proofs, especially the various estimates, which help the reader to get a true feel for the theory of Yosida approximations and their use.＜/p＞ ＜p＞This work is intended for researchers and graduate students in mathematics specializing in probability theory and will appeal to numerical analysts, engineers, physicists and practitioners in finance who want to apply the theory of stochastic evolution equations. Since the approach is based mainly in semigroup theory, it is amenable to a wide audience including non-specialists in stochastic processes.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 | 14,585円 |
 A Short Course in Ordinary Differential Equations【電子書籍】[ Qingkai Kong ] 楽天Kobo電子書籍ストア | ＜p＞This text is a rigorous treatment of the basic qualitative theory of ordinary differential equations, at the beginning graduate level. Designed as a flexible one-semester course but offering enough material for two semesters, A Short Course covers core topics such as initial value problems, linear differential equations, Lyapunov stability, dynamical systems and the Poincar?ーBendixson theorem, and bifurcation theory, and second-order topics including oscillation theory, boundary value problems, and SturmーLiouville problems. The presentation is clear and easy-to-understand, with figures and copious examples illustrating the meaning of and motivation behind definitions, hypotheses, and general theorems. A thoughtfully conceived selection of exercises together with answers and hints reinforce the reader's understanding of the material. Prerequisites are limited to advanced calculus and the elementary theory of differential equations and linear algebra, making the text suitable for seniorundergraduates as well.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 | 5,712円 |
 Asymptotic Analysis for Functional Stochastic Differential Equations【電子書籍】[ Jianhai Bao ] 楽天Kobo電子書籍ストア | ＜p＞This brief treats dynamical systems that involve delays and random disturbances. The study is motivated by a wide variety of systems in real life in which random noise has to be taken into consideration and the effect of delays cannot be ignored. Concentrating on such systems that are described by functional stochastic differential equations, this work focuses on the study of large time behavior, in particular, ergodicity.＜/p＞ ＜p＞This brief is written for probabilists, applied mathematicians, engineers, and scientists who need to use delay systems and functional stochastic differential equations in their work. Selected topics from the brief can also be used in a graduate level topics course in probability and stochastic processes.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 | 6,076円 |
 Nonlinear Differential Equations【電子書籍】[ Raimond A. Struble ] 楽天Kobo電子書籍ストア | ＜p＞This concise and widely referenced monograph has served as a text for generations of advanced undergraduate math majors and graduate students. Prepared with an eye toward the needs of applied mathematicians, engineers, and physicists, the treatment is equally valuable as a reference for professionals. After discussing some mathematical preliminaries, author Raimond A. Struble presents detailed treatments of the existence and the uniqueness of a solution of the initial-value problem, properties of solutions, properties of linear systems, stability in nonlinear systems, and two-dimensional systems. Additional chapters examine perturbations of periodic solutions and a general asymptotic method. Numerous exercises appear throughout the book, along with examples that contribute additional material, illustrate theorems and concepts, and provide a link with more practical aspects of the theory.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 | 2,312円 |
 Partial Differential Equations【電子書籍】[ J?rgen Jost ] 楽天Kobo電子書籍ストア | ＜p＞This book offers an ideal graduate-level introduction to the theory of partial differential equations. The first part of the book describes the basic mathematical problems and structures associated with elliptic, parabolic, and hyperbolic partial differential equations, and explores the connections between these fundamental types. Aspects of Brownian motion or pattern formation processes are also presented. The second part focuses on existence schemes and develops estimates for solutions of elliptic equations, such as Sobolev space theory, weak and strong solutions, Schauder estimates, and Moser iteration. In particular, the reader will learn the basic techniques underlying current research in elliptic partial differential equations.＜/p＞ ＜p＞This revised and expanded third edition is enhanced with many additional examples that will help motivate the reader. New features include a reorganized and extended chapter on hyperbolic equations, as well as a new chapter on the relations between different types of partial differential equations, including first-order hyperbolic systems, Langevin and Fokker-Planck equations, viscosity solutions for elliptic PDEs, and much more. Also, the new edition contains additional material on systems of elliptic partial differential equations, and it explains in more detail how the Harnack inequality can be used for the regularity of solutions.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 | 5,830円 |
 Chest Radiology: Patterns and Differential Diagnoses E-Book Patterns and Differential Diagnoses【電子書籍】[ James C. Reed ] 楽天Kobo電子書籍ストア | ＜p＞Sharpen your skills in chest x-ray interpretation using this trusted clinical resource! Chest Radiology: Patterns and Differential Diagnoses, 7th Edition, by Dr. James Reed, walks you through a logical, sequential thought process for the differential diagnoses of 23 radiologic patterns of common chest diseases, using 150 superbly illustrated patient cases. You'll gain a solid and thorough understanding of how to read and interpret chest x-rays with expert guidance on common disease patterns, differential diagnoses, narrowing down the diagnoses, and further studies (from additional radiographic exams to CT or to biopsy). Each chapter follows a consistent format: Presenting Case, Questions, Discussion, Top 5 Diagnoses, Summary, and Answer Guide. - Heavily illustrated with chest radiographs and additional CT, HRCT, and MR correlative images; plus bulleted summary boxes of comprehensive diagnoses lists and interpretation points. - An ideal resource for mastering this lower-cost modality before considering more complicated and costly procedures. - Illustrated case studies and quizzes feature new and improved questions that address the challenges seen in practice today. - Significant updates on carcinoid tumors and pulmonary nodules, including pathologic descriptions, detection, management, and new terminology; new lung cancer screening guidelines and benefits of CT vs. x-ray for screening; and CT description of nodules, detection of pulmonary nodules with chest x-rays, anatomic and perception problems with x-rays in identifying nodules. - New content on diffuse disease, including new pathologic terms and the latest impact of high resolution CT (HRCT). - Updates on radiation dosing and emphasis on lower dosing, and an expanded emphasis on how to interpret x-rays and CT scans. - Expert Consult? eBook version included with purchase. This enhanced eBook experience allows you to search all of the text, figures, and references from the book on a variety of devices.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 | 15,227円 |
 Stability and Bifurcation Theory for Non-Autonomous Differential Equations Cetraro, Italy 2011, Editors: Russell Johnson, Maria Patrizia Pera【電子書籍】[ Russell Johnson ] 楽天Kobo電子書籍ストア | ＜p＞This volume contains the notes from five lecture courses devoted to nonautonomous differential systems, in which appropriate topological and dynamical techniques were described and applied to a variety of problems. The courses took place during the C.I.M.E. Session "Stability and Bifurcation Problems for Non-Autonomous Differential Equations," held in Cetraro, Italy, June 19-25 2011. Anna Capietto and Jean Mawhin lectured on nonlinear boundary value problems; they applied the Maslov index and degree-theoretic methods in this context. Rafael Ortega discussed the theory of twist maps with nonperiodic phase and presented applications. Peter Kloeden and Sylvia Novo showed how dynamical methods can be used to study the stability/bifurcation properties of bounded solutions and of attracting sets for nonautonomous differential and functional-differential equations. The volume will be of interest to all researchers working in these and related fields.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 | 6,076円 |
 Neurology Equations Made Simple Differential Diagnosis and Neuroemergencies【電子書籍】[ Dr. Nadeem Akhtar ] 楽天Kobo電子書籍ストア | ＜p＞There are lots of books available in the market that do not necessarily simplify the challenging concepts of Neurological disorders and in a reader-friendly and simplified manner. During a busy hospital working environment or during a stressful outpatient clinic session, physicians are looking for quick and concise answers. They want to be efficient, quick, and safe. With the help of the content and format of this book, they will find a reader-friendly book in their pockets.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 | 644円 |
 Homology, Cohomology, and Sheaf Cohomology for Algebraic Topology, Algebraic Geometry, and Differential Geometry【電子書籍】[ Jean Gallier ] 楽天Kobo電子書籍ストア | ＜p＞For more than thirty years the senior author has been trying to learn algebraic geometry. In the process he discovered that many of the classic textbooks in algebraic geometry require substantial knowledge of cohomology, homological algebra, and sheaf theory. In an attempt to demystify these abstract concepts and facilitate understanding for a new generation of mathematicians, he along with co-author wrote this book for an audience who is familiar with basic concepts of linear and abstract algebra, but who never has had any exposure to the algebraic geometry or homological algebra. As such this book consists of two parts. The first part gives a crash-course on the homological and cohomological aspects of algebraic topology, with a bias in favor of cohomology. The second part is devoted to presheaves, sheaves, Cech cohomology, derived functors, sheaf cohomology, and spectral sequences. All important concepts are intuitively motivated and the associated proofs of the quintessential theorems are presented in detail rarely found in the standard texts.＜/p＞ ＜p＞＜strong＞Contents:＜/strong＞＜/p＞ ＜ul＞ ＜li＞Preface＜/li＞ ＜li＞Introduction＜/li＞ ＜li＞Homology and Cohomology＜/li＞ ＜li＞de Rham Cohomology＜/li＞ ＜li＞Singular Homology and Cohomology＜/li＞ ＜li＞Simplicial Homology and Cohomology＜/li＞ ＜li＞Homology and Cohomology of CW Complexes＜/li＞ ＜li＞Poincar? Duality＜/li＞ ＜li＞Presheaves and Sheaves; Basics＜/li＞ ＜li＞?ech Cohomology with Values in a Presheaf＜/li＞ ＜li＞Presheaves and Sheaves; A Deeper Look＜/li＞ ＜li＞Derived Functors, δ-Functors, and ∂-Functors＜/li＞ ＜li＞Universal Coefficient Theorems＜/li＞ ＜li＞Cohomology of Sheaves＜/li＞ ＜li＞Alexander and Alexander?Lefschetz Duality＜/li＞ ＜li＞Spectral Sequences＜/li＞ ＜li＞Bibliography＜/li＞ ＜li＞Index＜/li＞ ＜/ul＞ ＜p＞＜strong＞Readership:＜/strong＞ Senior undergraduates of maths major who are familiar with some basic notions of linear algebra and abstract algebra, in particular the notion of a module. Also good for graduate students of abstract algebra courses.＜/p＞ ＜p＞＜strong＞Key Features:＜/strong＞＜/p＞ ＜ul＞ ＜li＞Provides a historical overview of the development of homology/cohomology, while at the same time gently introducing the reader to pertinent fundamental concepts such as exact sequences, chain complexes, presheaves/sheaves, stalk spaces, universal functors, and sheaf cohomology＜/li＞ ＜li＞Five step illustrated presentation in Chapter 7 of the Poincare duality theorem. This presentation explicitly works out the omitted details of the "canonical" Milnor and Stasheff presentation＜/li＞ ＜/ul＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 | 8,086円 |
 Fundamentals of High-Resolution Lung CT Common Findings, Common Patterns, Common Diseases and Differential Diagnosis【電子書籍】[ Brett M. Elicker ] 楽天Kobo電子書籍ストア | ＜p＞Publisher's Note: Products purchased from 3rd Party sellers are not guaranteed by the Publisher for quality, authenticity, or access to any online entitlements included with the product. In clear and concise language, Fundamentals of High-Resolution Lung CT, provides a straightforward guide to understanding the high-resolution lung CT (HRCT) assessment of diffuse lung diseases. You will learn to accurately interpret HRCT findings, and how those findings can translate into the correct diagnosis or appropriate differential diagnosis. This volume includes over 600 images we consider classic, many of which have been updated and improved to facilitate easier reading and more precise interpretation.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 | 11,638円 |
 Stochastic Differential Equations, Backward SDEs, Partial Differential Equations【電子書籍】[ Etienne Pardoux ] 楽天Kobo電子書籍ストア | ＜p＞This research monograph presents results to researchers in stochastic calculus, forward and backward stochastic differential equations, connections between diffusion processes and second order partial differential equations (PDEs), and financial mathematics. It pays special attention to the relations between SDEs/BSDEs and second order PDEs under minimal regularity assumptions, and also extends those results to equations with multivalued coefficients. The authors present in particular the theory of reflected SDEs in the above mentioned framework and include exercises at the end of each chapter.＜/p＞ ＜p＞Stochastic calculus and stochastic differential equations (SDEs) were first introduced by K. It? in the 1940s, in order to construct the path of diffusion processes (which are continuous time Markov processes with continuous trajectories taking their values in a finite dimensional vector space or manifold), which had been studied from a more analytic point of view by Kolmogorov in the 1930s. Since then, this topic has become an important subject of Mathematics and Applied Mathematics, because of its mathematical richness and its importance for applications in many areas of Physics, Biology, Economics and Finance, where random processes play an increasingly important role. One important aspect is the connection between diffusion processes and linear partial differential equations of second order, which is in particular the basis for Monte Carlo numerical methods for linear PDEs. Since the pioneering work of Peng and Pardoux in the early 1990s, a new type of SDEs called backward stochastic differential equations (BSDEs) has emerged. The two main reasons why this new class of equations is important are the connection between BSDEs and semilinear PDEs, and the fact that BSDEs constitute a natural generalization of the famous Black and Scholes model from Mathematical Finance, and thus offer a natural mathematical framework for the formulation of many new models in Finance.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 | 17,016円 |
 A Field Guide to Solving Ordinary Differential Equations【電子書籍】[ John Cramer ] 楽天Kobo電子書籍ストア | ＜p＞Ordinary differential equations come in an almost bewildering variety. This field guide systematizes them and gives general methods for solving each type. Since there are numerous specific examples, some even with specific names, for which simpler methods are known, the guide also enumerates these too along with the secondary and tertiary methods for solving them.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 | 129円 |
 Tensors, Differential Forms, and Variational Principles【電子書籍】[ Hanno Rund ] 楽天Kobo電子書籍ストア | ＜p＞The aim of this book is to present a self-contained, reasonably modern account of tensor analysis and the calculus of exterior differential forms, adapted to the needs of physicists, engineers, and applied mathematicians. In the later, increasingly sophisticated chapters, the interaction between the concept of invariance and the calculus of variations is examined. This interaction is of profound importance to all physical field theories.＜br /＞ Beginning with simple physical examples, the theory of tensors and forms is developed by a process of successive abstractions. This enables the reader to infer generalized principles from concrete situations ー departing from the traditional approach to tensors and forms in terms of purely differential-geometric concepts.＜br /＞ The treatment of the calculus of variations of single and multiple integrals is based ＜em＞ab initio＜/em＞ on Carath?odory's method of equivalent integrals. Subsequent material explores the effects of invariance postulates on variational principles, focusing ultimately on relativistic field theories. Other discussions include:＜br /＞ ? integral invariants＜br /＞ ? simple and direct derivations of Noether's theorems＜br /＞ ? Riemannian spaces with indefinite metrics＜br /＞ The emphasis in this book is on analytical techniques, with abundant problems, ranging from routine manipulative exercises to technically difficult problems encountered by those using tensor techniques in research activities. A special effort has been made to collect many useful results of a technical nature, not generally discussed in the standard literature. The Appendix, newly revised and enlarged for the Dover edition, presents a reformulation of the principal concepts of the main text within the terminology of current global differential geometry, thus bridging the gap between classical tensor analysis and the fundamentals of more recent global theories.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 | 2,067円 |
 Nonlinear Elliptic Partial Differential Equations An Introduction【電子書籍】[ Herv? Le Dret ] 楽天Kobo電子書籍ストア | ＜p＞This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus of variations.＜/p＞ ＜p＞After a short review of results in real and functional analysis, the author introduces the main mathematical techniques for solving both semilinear and quasilinear elliptic PDEs, and the associated boundary value problems. Key topics include infinite dimensional fixed point methods, the Galerkin method, the maximum principle, elliptic regularity, and the calculus of variations.＜/p＞ ＜p＞Aimed at graduate students and researchers, this textbook contains numerous examples and exercises and provides several comments and suggestions for further study.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 | 7,900円 |
 Non-cooperative Stochastic Differential Game Theory of Generalized Markov Jump Linear Systems【電子書籍】[ Cheng-ke Zhang ] 楽天Kobo電子書籍ストア | ＜p＞This book systematically studies the stochastic non-cooperative differential game theory of generalized linear Markov jump systems and its application in the field of finance and insurance. The book is an in-depth research book of the continuous time and discrete time linear quadratic stochastic differential game, in order to establish a relatively complete framework of dynamic non-cooperative differential game theory. It uses the method of dynamic programming principle and Riccati equation, and derives it into all kinds of existence conditions and calculating method of the equilibrium strategies of dynamic non-cooperative differential game. Based on the game theory method, this book studies the corresponding robust control problem, especially the existence condition and design method of the optimal robust control strategy. The book discusses the theoretical results and its applications in the risk control, option pricing, and the optimal investment problem in the field of finance and insurance, enriching the achievements of differential game research. This book can be used as a reference book for non-cooperative differential game study, for graduate students majored in economic management, science and engineering of institutions of higher learning.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 | 18,231円 |
 A Course in Modern Mathematical Physics Groups, Hilbert Space and Differential Geometry【電子書籍】[ Peter Szekeres ] 楽天Kobo電子書籍ストア | ＜p＞This book, first published in 2004, provides an introduction to the major mathematical structures used in physics today. It covers the concepts and techniques needed for topics such as group theory, Lie algebras, topology, Hilbert space and differential geometry. Important theories of physics such as classical and quantum mechanics, thermodynamics, and special and general relativity are also developed in detail, and presented in the appropriate mathematical language. The book is suitable for advanced undergraduate and beginning graduate students in mathematical and theoretical physics, as well as applied mathematics. It includes numerous exercises and worked examples, to test the reader's understanding of the various concepts, as well as extending the themes covered in the main text. The only prerequisites are elementary calculus and linear algebra. No prior knowledge of group theory, abstract vector spaces or topology is required.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 | 17,284円 |
 Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2) Celebrating Cora Sadosky's Life【電子書籍】 楽天Kobo電子書籍ストア | ＜p＞This book is the second of a two volume series. Covering a range of subjects from operator theory and classical harmonic analysis to Banach space theory, this book features fully-refereed, high-quality papers exploring new results and trends in weighted norm inequalities, Schur-Agler class functions, complex analysis, dynamical systems, and dyadic harmonic analysis. Graduate students and researchers in analysis will find inspiration in the articles collected in this volume, which emphasize the remarkable connections between harmonic analysis and operator theory. A survey of the two weight problem for the Hilbert transform and an expository article on the Clark model to the case of non-singular measures and applications to the study of rank-one perturbations are included.＜/p＞ ＜p＞The material for this volume is based on the 13th New Mexico Analysis Seminar held at the University of New Mexico, April 3-4, 2014 and on severalspecial sections of the Western Spring Sectional Meeting at the University of New Mexico, April 4-6,2014. During the event, participants honored the memory of Cora Sadoskyーa great mathematician who recently passed away and who made significant contributions to the field of harmonic analysis. Cora was an exceptional scientist and human being. She was a world expert in harmonic analysis and operator theory, publishing over fifty-five research papers and authoring a major textbook in the field. Participants of the conference include new and senior researchers, recent doctorates as well as leading experts in the area.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 | 15,800円 |
 Pseudo-Differential Equations And Stochastics Over Non-Archimedean Fields【電子書籍】[ Anatoly Kochubei ] 楽天Kobo電子書籍ストア | ＜p＞Provides comprehensive coverage of the most recent developments in the theory of non-Archimedean pseudo-differential equations and its application to stochastics and mathematical physics--offering current methods of construction for stochastic processes in the field of p-adic numbers and related structures. Develops a new theory for parabolic equat＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 | 56,430円 |
 Differentiability in Banach Spaces, Differential Forms and Applications【電子書籍】[ Celso Melchiades Doria ] 楽天Kobo電子書籍ストア | ＜p＞This book is divided into two parts, the first one to study the theory of differentiable functions between Banach spaces and the second to study the differential form formalism and to address the Stokes' Theorem and its applications. Related to the first part, there is an introduction to the content of Linear Bounded Operators in Banach Spaces with classic examples of compact and Fredholm operators, this aiming to define the derivative of Fr?chet and to give examples in Variational Calculus and to extend the results to Fredholm maps. The Inverse Function Theorem is explained in full details to help the reader to understand the proof details and its motivations. The inverse function theorem and applications make up this first part. The text contains an elementary approach to Vector Fields and Flows, including the Frobenius Theorem. The Differential Forms are introduced and applied to obtain the Stokes Theorem and to define De Rham cohomology groups. As an application, the finalchapter contains an introduction to the Harmonic Functions and a geometric approach to Maxwell's equations of electromagnetism.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 | 6,076円 |
 Differential Forms with Applications to the Physical Sciences【電子書籍】[ Harley Flanders ] 楽天Kobo電子書籍ストア | ＜p＞"To the reader who wishes to obtain a bird's-eye view of the theory of differential forms with applications to other branches of pure mathematics, applied mathematic and physics, I can recommend no better book." ー T. J. Willmore, ＜em＞London Mathematical Society Journal.＜/em＞＜br /＞ This excellent text introduces the use of exterior differential forms as a powerful tool in the analysis of a variety of mathematical problems in the physical and engineering sciences. Requiring familiarity with several variable calculus and some knowledge of linear algebra and set theory, it is directed primarily to engineers and physical scientists, but it has also been used successfully to introduce modern differential geometry to students in mathematics.＜br /＞ Chapter I introduces exterior differential forms and their comparisons with tensors. The next three chapters take up exterior algebra, the exterior derivative and their applications. Chapter V discusses manifolds and integration, and Chapter VI covers applications in Euclidean space. The last three chapters explore applications to differential equations, differential geometry, and group theory.＜br /＞ "The book is very readable, indeed, enjoyable ー and, although addressed to engineers and scientists, should be not at all inaccessible to or inappropriate for ... first year graduate students and bright undergraduates." ー F. E. J. Linton, Wesleyan University, ＜em＞American Mathematical Monthly.＜/em＞＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 | 1,873円 |