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60件中 1件 - 30件
1 2
| 商品 | 説明 | 価格 |

Introduction to the Theory of Optimization in Euclidean Space【電子書籍】[ Samia Challal ]
楽天Kobo電子書籍ストア
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<p><em><strong>Introduction to the Theory of Optimization in Euclidean Space</strong></em> is intended to provide students with a robust introduction to optimization in Euclidean space, demonstrating the theoretical aspects of the subject whilst also providing clear proofs and applications.</p> <p>Students are taken progressively through the development of the proofs, where they have the occasion to practice tools of differentiation (Chain rule, Taylor formula) for functions of several variables in abstract situations.</p> <p>Throughout this book, students will learn the necessity of referring to important results established in advanced Algebra and Analysis courses.</p> <p>Features</p> <ul> <li></li> <li>Rigorous and practical, offering proofs and applications of theorems</li> <li></li> <li>Suitable as a textbook for advanced undergraduate students on mathematics or economics courses, or as reference for graduate-level readers</li> <li></li> <li>Introduces complex principles in a clear, illustrative fashion</li> <li></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。
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10,581円
|

Advanced Euclidean Geometry【電子書籍】[ Roger A. Johnson ]
楽天Kobo電子書籍ストア
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<p>For many years, this elementary treatise on advanced Euclidean geometry has been the standard textbook in this area of classical mathematics; no other book has covered the subject quite as well. It explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. Several hundred theorems and corollaries are formulated and proved completely; numerous others remain unproved, to be used by students as exercises.<br /> The author makes liberal use of circular inversion, the theory of pole and polar, and many other modern and powerful geometrical tools throughout the book. In particular, the method of "directed angles" offers not only a powerful method of proof but also furnishes the shortest and most elegant form of statement for several common theorems. This accessible text requires no more extensive preparation than high school geometry and trigonometry.</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。
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2,213円
|

A Non-Euclidean Perspective Robert Anton Wilson's Political Commentaries 1960-2005【電子書籍】[ Robert Anton Wilson ]
楽天Kobo電子書籍ストア
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<p>Years before he was famous as the co-author of the <em>Illuminatus!</em> trilogy, Robert Anton Wilson was writing astute essays about the evils of authoritarianism, prejudice, puritanism, and exploitation. The essays and interviews in this book span 45 years, from 1960 to 2005, responding to events from the Bay of Pigs invasion to the War on Terror. Along the way, they will introduce you, or re-introduce you, to the thinkers who influenced Wilson the most-Spooner, Tucker, Proudhon, Warren, Reich, Fuller, Korzybski, and others.</p> <p>Calling for liberty, tolerance, and compassion, Wilson was loyal to neither the political left nor the political right - he preferred to call his ideas "non-Euclidean." These writings deviate from traditional Euclidean models of the political spectrum where the ideological landscape is easily mappable. Here, politics are as complex, multidimensional, and unconventional as the human mind.</p> <p>? ? ?</p> <p>"Say what you like about the principles of anarchism, Robert Anton Wilson said it earlier, better, and funnier."</p> <p>- <strong>Ken MacLeod</strong>, author of <em>The Star Fraction</em> and Beyond <em>The Hallowed Sky</em></p> <p>"An encyclopedic scholar of human folly, or maybe simply the folly of being human."</p> <p>- <strong>Andrei Codrescu</strong>, author of The <em>Disappearance of the Outside: a Manifesto For Escape</em></p> <p>"Wilson understood that true freedom requires breaking everyone's chains, not building higher walls around private compounds."</p> <p>- <strong>Mark Frauenfelder</strong>, co-founder of <em>Boing Boing</em></p> <p>"The imagination, wit, and humanity evident in these essays animated Robert Anton Wilson's politics and writing."</p> <p>- <strong>Revd Jonathan Harris</strong>, High Priest of Church of Burn</p> <p>"A unique combination of compassion and erudition that will light up your neural pathways like Times Square on New Year's Eve."</p> <p>- <strong>Lewis Shiner</strong>, author of <em>Glimpses</em></p> <p>"A volume of priceless wisdom from a multi-dimensional intellect."</p> <p>- <strong>Victor Koman</strong>, author of <em>The Jehovah Contract</em> and <em>Kings of the High Frontier</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。
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1,383円
|

Analysis in Euclidean Space【電子書籍】[ Kenneth Hoffman ]
楽天Kobo電子書籍ストア
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<p>Developed for an introductory course in mathematical analysis at MIT, this text focuses on concepts, principles, and methods. Its introductions to real and complex analysis are closely formulated, and they constitute a natural introduction to complex function theory.<br /> Starting with an overview of the real number system, the text presents results for subsets and functions related to Euclidean space of <em>n</em> dimensions. It offers a rigorous review of the fundamentals of calculus, emphasizing power series expansions and introducing the theory of complex-analytic functions. Subsequent chapters cover sequences of functions, normed linear spaces, and the Lebesgue interval. They discuss most of the basic properties of integral and measure, including a brief look at orthogonal expansions. A chapter on differentiable mappings addresses implicit and inverse function theorems and the change of variable theorem. Exercises appear throughout the book, and extensive supplementary material includes a Bibliography, List of Symbols, Index, and an Appendix with background in elementary set 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。
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3,247円
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The Euclidean Programme【電子書籍】[ A. C. Paseau ]
楽天Kobo電子書籍ストア
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<p>The Euclidean Programme embodies a traditional sort of epistemological foundationalism, according to which knowledge ? especially mathematical knowledge ? is obtained by deduction from self-evident axioms or first principles. Epistemologists have examined foundationalism extensively, but neglected its historically dominant Euclidean form. By contrast, this book offers a detailed examination of Euclidean foundationalism, which, following Lakatos, the authors call the Euclidean Programme. The book rationally reconstructs the programme's key principles, showing it to be an epistemological interpretation of the axiomatic method. It then compares the reconstructed programme with select historical sources: Euclid's Elements, Aristotle's Posterior Analytics, Descartes's Discourse on Method, Pascal's On the Geometric Mind and a twentieth-century account of axiomatisation. The second half of the book philosophically assesses the programme, exploring whether various areas of contemporary mathematics conform to it. The book concludes by outlining a replacement for the Euclidean Programme.</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。
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2,995円
|

Codes on Euclidean Spheres【電子書籍】
楽天Kobo電子書籍ストア
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<p>Codes on Euclidean spheres are often referred to as spherical codes. They are of interest from mathematical, physical and engineering points of view. Mathematically the topic belongs to the realm of algebraic combinatorics, with close connections to number theory, geometry, combinatorial theory, and - of course - to algebraic coding theory. The connections to physics occur within areas like crystallography and nuclear physics. In engineering spherical codes are of central importance in connection with error-control in communication systems. In that context the use of spherical codes is often referred to as "coded modulation." The book offers a first complete treatment of the mathematical theory of codes on Euclidean spheres. Many new results are published here for the first time. Engineering applications are emphasized throughout the text. The theory is illustrated by many examples. The book also contains an extensive table of best known spherical codes in dimensions 3-24, including exact constructions.</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。
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19,200円
|

A Course in Old and New Geometry: Volume II Basic Euclidean Geometry【電子書籍】[ Franz Rothe ]
楽天Kobo電子書籍ストア
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<p><strong>Book Summary:</strong></p> <p>The front cover shows the figure from page 101 about the geometric proof of the law a(bc) = b(ac). This line of reasoning does not presuppose Pappus' theorem, instead we use properties of circles in a Pythagorean plane.</p> <p>A decade long experience of teaching the course Fundamental of Geometry at the University of North Carolina at Charlotte, many notes for exercises, reading and research are the bases for this bulky work. Retired I could find the time and leisure to prepare several volumes. My heartfelt thanks go to everyone involved, this means famous authors as well as my former students.</p> <p>The present second volume starts with Euclidean geometry, and the text gets a more educational and even more elementary flavour. Here I start with Thales theorem about the angle in a semicircle, and continue with Euclid's related theorems about angles in a circle. The most simple parts of the Euclidean geometry are given in detail, as well as the later parts about similarity, and finally area in Euclidean geometry with the theorem of Pythagoras and trigonometry, and the measurement of the circle. Too, the lens equation from geometrical optics is treated.</p> <p>In several sections is recalled the strictly modern view of the first volume, beginning with Hilbert's axioms from the Foundations of Geometry. After some discussion of logic and axioms in general, we go on with a short section about incidence geometries in two dimensions. The theorems from neutral geometry which have been proved in the first volume and are needed again, are cited. The relation of analytic and synthetic geometry is treated on Hilbert's rigorous account.</p> <p><strong>Authors Bio:</strong></p> <p>Franz Rothe has received his doctoral degree in mathematics from the university of T ?ubingen, Germany. He has been professor at the University of North Carolina at Charlotte, and has published about 40 articles and a lecture note in mathematics, and two further books on number theory, modern algebra, and graph theory. Dr. Rothe is retired since several years, and is now emeritus professor.</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。
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691円
|

Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I Dirichlet Boundary Conditions on Euclidean Space【電子書籍】[ J?r?me Le Rousseau ]
楽天Kobo電子書籍ストア
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<p>This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including the stabilization property of the damped wave equation and the null-controllability of the heat equation. All analysis is performed in the case of open sets in the Euclidean space; a second volume will extend this treatment to Riemannian manifolds.</p> <p>The first three chapters illustrate the derivation of Carleman estimates using pseudo-differential calculus with a large parameter. Continuation issues are then addressed, followed by a proof of the logarithmic stabilization of the damped wave equation by means of two alternative proofs of the resolvent estimate for the generator of a damped wave semigroup. The authors then discuss null-controllability of the heat equation, its equivalence with observability, and how the spectral inequality allows one to either construct a control function or prove the observability inequality. The final part of the book is devoted to the exposition of some necessary background material: the theory of distributions, invariance under change of variables, elliptic operators with Dirichlet data and associated semigroup, and some elements from functional analysis and semigroup 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。
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17,016円
|

Non-Euclidean Geometry Fifth Edition【電子書籍】[ H.S.M. Coxeter ]
楽天Kobo電子書籍ストア
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<p>The name non-Euclidean was used by Gauss to describe a system of geometry which differs from Euclid's in its properties of parallelism. Such a system was developed independently by Bolyai in Hungary and Lobatschewsky in Russia, about 120 years ago. Another system, differing more radically from Euclid's, was suggested later by Riemann in Germany and Cayley in England. The subject was unified in 1871 by Klein, who gave the names of parabolic, hyperbolic, and elliptic to the respective systems of Euclid-Bolyai-Lobatschewsky, and Riemann-Cayley. Since then, a vast literature has accumulated.</p> <p>The Fifth edition adds a new chapter, which includes a description of the two families of 'mid-lines' between two given lines, an elementary derivation of the basic formulae of spherical trigonometry and hyperbolic trigonometry, a computation of the Gaussian curvature of the elliptic and hyperbolic planes, and a proof of Schlafli's remarkable formula for the differential of the volume of a tetrahedron.</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。
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6,513円
|

Euclidean Geometry Simplified Study Guide【電子書籍】[ Precious Singita Chauke ]
楽天Kobo電子書籍ストア
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<p>The Euclidean Geometry Genius is a learner-friendly study guide designed to break down the complexities of geometry into simple, understandable steps. With clear explanations, diagrams, and practice questions, this book equips students with the skills they need to master triangles, quadrilaterals, and circle geometry confidently.</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。
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1,500円
|

Euclidean Distance Matrices and Their Applications in Rigidity Theory【電子書籍】[ Abdo Y. Alfakih ]
楽天Kobo電子書籍ストア
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<p>This book offers a comprehensive and accessible exposition of Euclidean Distance Matrices (EDMs) and rigidity theory of bar-and-joint frameworks. It is based on the one-to-one correspondence between EDMs and projected Gram matrices. Accordingly the machinery of semidefinite programming is a common thread that runs throughout the book. As a result, two parallel approaches to rigidity theory are presented. The first is traditional and more intuitive approach that is based on a vector representation of point configuration. The second is based on a Gram matrix representation of point configuration.</p> <p><em>Euclidean Distance Matrices and Their Applications in Rigidity Theory</em> begins by establishing the necessary background needed for the rest of the book. The focus of Chapter 1 is on pertinent results from matrix theory, graph theory and convexity theory, while Chapter 2 is devoted to positive semidefinite (PSD) matrices due to the key role these matrices play in ourapproach. Chapters 3 to 7 provide detailed studies of EDMs, and in particular their various characterizations, classes, eigenvalues and geometry. Chapter 8 serves as a transitional chapter between EDMs and rigidity theory. Chapters 9 and 10 cover local and universal rigidities of bar-and-joint frameworks. This book is self-contained and should be accessible to a wide audience including students and researchers in statistics, operations research, computational biochemistry, engineering, computer science and 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。
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13,369円
|

Analysis in Euclidean Space【電子書籍】[ Kenneth Hoffman ]
楽天Kobo電子書籍ストア
|
<p>Developed for an introductory course in mathematical analysis at MIT, this text focuses on concepts, principles, and methods. Its introductions to real and complex analysis are closely formulated, and they constitute a natural introduction to complex function theory.<br /> Starting with an overview of the real number system, the text presents results for subsets and functions related to Euclidean space of <em>n</em> dimensions. It offers a rigorous review of the fundamentals of calculus, emphasizing power series expansions and introducing the theory of complex-analytic functions. Subsequent chapters cover sequences of functions, normed linear spaces, and the Lebesgue interval. They discuss most of the basic properties of integral and measure, including a brief look at orthogonal expansions. A chapter on differentiable mappings concludes the text, addressing implicit and inverse function theorems and the change of variable theorem. Exercises appear throughout the book, and extensive supplementary material includes a bibliography, list of symbols, index, and appendix with background in elementary set 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。
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2,953円
|

Beyond Pseudo-Rotations in Pseudo-Euclidean Spaces【電子書籍】[ Abraham Ungar ]
楽天Kobo電子書籍ストア
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<p>Beyond Pseudo-Rotations in Pseudo-Euclidean Spaces presents for the first time a unified study of the Lorentz transformation group SO(m, n) of signature (m, n), m, n ∈ N, which is fully analogous to the Lorentz group SO(1, 3) of Einstein's special theory of relativity. It is based on a novel parametric realization of pseudo-rotations by a vector-like parameter with two orientation parameters. The book is of interest to specialized researchers in the areas of algebra, geometry and mathematical physics, containing new results that suggest further exploration in these areas. - Introduces the study of generalized gyrogroups and gyrovector spaces - Develops new algebraic structures, bi-gyrogroups and bi-gyrovector spaces - Helps readers to surmount boundaries between algebra, geometry and physics - Assists readers to parametrize and describe the full set of generalized Lorentz transformations in a geometric way - Generalizes approaches from gyrogroups and gyrovector spaces to bi-gyrogroups and bi-gyrovector spaces with geometric entanglement</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。
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19,033円
|

Introduction to Non-Euclidean Geometry【電子書籍】[ Harold E. Wolfe ]
楽天Kobo電子書籍ストア
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<p>One of the first college-level texts for elementary courses in non-Euclidean geometry, this concise, readable volume is geared toward students familiar with calculus. A full treatment of the historical background explores the centuries-long efforts to prove Euclid's parallel postulate and their triumphant conclusion. Numerous original exercises form an integral part of the book.<br /> Topics include hyperbolic plane geometry and hyperbolic plane trigonometry, applications of calculus to the solutions of some problems in hyperbolic geometry, elliptic plane geometry and trigonometry, and the consistency of the non-Euclidean geometries. Extensive appendixes offer background information on the foundation of Euclidean geometry, circular and hyperbolic functions, the theory of orthogonal circles and allied topics, and the elements of inversion.</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。
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1,622円
|

Non-Euclidean Geometry【電子書籍】[ Roberto Bonola ]
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<p>This is an excellent historical and mathematical view by a renowned Italian geometer of the geometries that have risen from a rejection of Euclid's parallel postulate. Students, teachers and mathematicians will find here a ready reference source and guide to a field that has now become overwhelmingly important.<br /> <em>Non-Euclidean Geometry</em> first examines the various attempts to prove Euclid's parallel postulate-by the Greeks, Arabs, and mathematicians of the Renaissance. Then, ranging through the 17th, 18th and 19th centuries, it considers the forerunners and founders of non-Euclidean geometry, such as Saccheri, Lambert, Legendre, W. Bolyai, Gauss, Schweikart, Taurinus, J. Bolyai and Lobachevski. In a discussion of later developments, the author treats the work of Riemann, Helmholtz and Lie; the impossibility of proving Euclid's postulate, and similar topics. The complete text of two of the founding monographs is appended to Bonola's study: "The Science of Absolute Space" by John Bolyai and "Geometrical Researches on the Theory of Parallels" by Nicholas Lobachevski. "Firmly recommended to any scientific reader with some mathematical inclination" ー <em>Journal of the Royal Naval Scientific Service.</em> "Classic on the subject." ー <em>Scientific American.</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。
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1,769円
|

Hardy Operators on Euclidean Spaces and Related Topics【電子書籍】[ Shanzhen Lu ]
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<p>In many branches of mathematical analysis and mathematical physics, the Hardy operator and Hardy inequality are fundamentally important and have been intensively studied ever since the pioneer researches. This volume presents new properties of higher-dimensional Hardy operators obtained by the authors and their collaborators over the last decade. Its prime focus is on higher-dimensional Hardy operators that are based on the spherical average form.</p> <p>The key motivation for this monograph is based on the fact that the Hardy operator is generally smaller than the Hardy?Littlewood maximal operator, which leads to, on the one hand, the operator norm of the Hardy operator itself being smaller than the latter. On the other hand, the former characterizing the weight function class or function spaces is greater than the latter.</p> <p><strong>Contents:</strong></p> <ul> <li>Sharp Bounds for Hardy Operators on Lebesgue Spaces</li> <li>Hardy Operators on Other Function Spaces</li> <li>Weighted Inequalities for Hardy Type Operators</li> <li>Commutators of Hardy Operators</li> <li>Hardy Operators on Heisenberg Groups and <em>p</em>-Adic Fields</li> <li>Sharp Constants for Hausdorff <em>q</em>-Inequalities</li> </ul> <p><strong>Readership:</strong> This book is suitable for undergraduate and graduate students as well as researchers in theoretical and applied mathematics. It will be a useful teaching material at seminars as well as an invaluable reference source in all science libraries.<br /> <strong>Key Features:</strong></p> <ul> <li>We provide many methods to deal with the higher dimensional Hardy operators, such as how to calculate the operator norms, the characterizations of <em>n</em>-dimensional Hardy operators, the compactness of <em>n</em>-dimensional Hardy operators and so on</li> <li>We also list some new progress on the Hausdorff operator which is regarded as the extensions of <em>n</em>-dimensional Hardy operator</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。
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8,580円
|

Introductory Non-Euclidean Geometry【電子書籍】[ Henry Parker Manning ]
楽天Kobo電子書籍ストア
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<p>This fine and versatile introduction to non-Euclidean geometry is appropriate for both high-school and college classes. Its first two-thirds requires just a familiarity with plane and solid geometry and trigonometry, and calculus is employed only in the final part. It begins with the theorems common to Euclidean and non-Euclidean geometry, and then it addresses the specific differences that constitute elliptic and hyperbolic geometry. Major topics include hyperbolic geometry, single elliptic geometry, and analytic non-Euclidean geometry. 1901 edition.</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。
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1,031円
|

Approximation of Euclidean Metric by Digital Distances【電子書籍】[ Jayanta Mukhopadhyay ]
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<p>This book discusses different types of distance functions defined in an n-D integral space for their usefulness in approximating the Euclidean metric. It discusses the properties of these distance functions and presents various kinds of error analysis in approximating Euclidean metrics. It also presents a historical perspective on efforts and motivation for approximating Euclidean metrics by digital distances from the mid-sixties of the previous century. The book also contains an in-depth presentation of recent progress, and new research problems in this 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。
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6,076円
|

Euclidean Design Theory【電子書籍】[ Masanori Sawa ]
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<p>This book is the modern first treatment of experimental designs, providing a comprehensive introduction to the interrelationship between the theory of optimal designs and the theory of cubature formulas in numerical analysis. It also offers original new ideas for constructing optimal designs.</p> <p>The book opens with some basics on reproducing kernels, and builds up to more advanced topics, including bounds for the number of cubature formula points, equivalence theorems for statistical optimalities, and the Sobolev Theorem for the cubature formula. It concludes with a functional analytic generalization of the above classical results.</p> <p>Although it is intended for readers who are interested in recent advances in the construction theory of optimal experimental designs, the book is also useful for researchers seeking rich interactions between optimal experimental designs and various mathematical subjects such as spherical designs in combinatorics and cubature formulas in numerical analysis, both closely related to embeddings of classical finite-dimensional Banach spaces in functional analysis and Hilbert identities in elementary number theory. Moreover, it provides a novel communication platform for “design theorists” in a wide variety of research 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。
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7,292円
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Computational Formalisms in Euclidean Geometry Volume I: A Trigonometric, Vectorial and Complex Numbers Approach【電子書籍】[ Ovidiu Calin ]
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<p>This book explores three computational formalisms for solving geometric problems. Part I introduces a trigonometric-based formalism, enabling calculations of distances, angles, and areas using basic trigonometry. Part II focuses on complex numbers, representing points in the plane to manipulate geometric properties like collinearity and concurrency, making it particularly useful for planar problems and rotations. Part III covers vector formalism, applying linear algebra to both plane and solid geometry. Vectors are effective for solving problems related to perpendicularity, collinearity, and the calculation of distances, areas, and volumes.</p> <p>Each formalism has its strengths and limitations, with complex numbers excelling in the plane and vectors being more versatile in three-dimensional space. This book equips readers to choose the best approach for various geometric challenges.</p> <p>This book, designed for math majors, especially future educators, is also valuable for gifted high school students and educators seeking diverse proofs and teaching inspiration.</p> <p><strong>Contents:</strong></p> <ul> <li> <p><em><strong>Trigonometric Approach:</strong></em></p> <ul> <li>Foundations of Geometry</li> <li>Triangle Geometry</li> <li>Quadrilateral Geometry</li> </ul> </li> <li> <p><em><strong>Complex Numbers Approach:</strong></em></p> <ul> <li>Complex Numbers in Geometry</li> </ul> </li> <li> <p><em><strong>Vectorial Approach:</strong></em></p> <ul> <li>Vectors and Their Basic Properties</li> <li>Elementary Properties of Vectors</li> <li>The Inner Product and Its Applications</li> <li>The Cross Product and Its Applications</li> <li>The Mixed Scalar Product</li> <li>Applications to Plane Geometry</li> <li>Baricentric Coordinates</li> <li>Momenta and Applications</li> <li>Applications to Solid Geometry</li> </ul> </li> </ul> <p><strong>Readership:</strong> This is a textbook aimed for an undergraduate College Geometry class. The targeted students are primarily mathematics majors. Other students can be computer science or physics majors needing a minor in mathematics. The book can also be useful for math educators who are interested in diverse proofs of geometric problems and need inspiration for their classwork or Math clubs.</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。
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10,794円
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Non-Euclidean Geometry【電子書籍】[ Stefan Kulczycki ]
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<p>This accessible approach features two varieties of proofs: stereometric and planimetric, as well as elementary proofs that employ only the simplest properties of the plane. A short history of geometry precedes a systematic exposition of the principles of non-Euclidean geometry.<br /> Starting with fundamental assumptions, the author examines the theorems of Hjelmslev, mapping a plane into a circle, the angle of parallelism and area of a polygon, regular polygons, straight lines and planes in space, and the horosphere. Further development of the theory covers hyperbolic functions, the geometry of sufficiently small domains, spherical and analytical geometry, the Klein model, and other topics. Appendixes include a table of values of hyperbolic functions.</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。
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1,769円
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The Evolution of the Euclidean Elements A Study of the Theory of Incommensurable Magnitudes and Its Significance for Early Greek Geometry【電子書籍】[ W.R. Knorr ]
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<p>The present work has three principal objectives: (1) to fix the chronology of the development of the pre-Euclidean theory of incommensurable magnitudes beginning from the first discoveries by fifth-century Pythago reans, advancing through the achievements of Theodorus of Cyrene, Theaetetus, Archytas and Eudoxus, and culminating in the formal theory of Elements X; (2) to correlate the stages of this developing theory with the evolution of the Elements as a whole; and (3) to establish that the high standards of rigor characteristic of this evolution were intrinsic to the mathematicians' work. In this third point, we wish to counterbalance a prevalent thesis that the impulse toward mathematical rigor was purely a response to the dialecticians' critique of foundations; on the contrary, we shall see that not until Eudoxus does there appear work which may be described as purely foundational in its intent. Through the examination of these problems, the present work will either alter or set in a new light virtually every standard thesis about the fourth-century Greek geometry. I. THE PRE-EUCLIDEAN THEORY OF INCOMMENSURABLE MAGNITUDES The Euclidean theory of incommensurable magnitudes, as preserved in Book X of the Elements, is a synthetic masterwork. Yet there are detect able seams in its structure, seams revealed both through terminology and through the historical clues provided by the neo-Platonist commentator Proclus.</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。
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46,188円
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Harmonic Analysis on Symmetric SpacesーEuclidean Space, the Sphere, and the Poincar? Upper Half-Plane【電子書籍】[ Audrey Terras ]
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<p>This unique text is an introduction to harmonic analysis on the simplest symmetric spaces, namely Euclidean space, the sphere, and the Poincar? upper half plane. This book is intended for beginning graduate students in mathematics or researchers in physics or engineering. Written with an informal style, the book places an emphasis on motivation, concrete examples, history, and, above all, applications in mathematics, statistics, physics, and engineering.</p> <p>Many corrections and updates have been incorporated in this new edition. Updates include discussions of P. Sarnak and others' work on quantum chaos, the work of T. Sunada, Marie-France Vign?ras, Carolyn Gordon, and others on Mark Kac's question "Can you hear the shape of a drum?", A. Lubotzky, R. Phillips and P. Sarnak's examples of Ramanujan graphs, and, finally, the author's comparisons of continuous theory with the finite analogues.</p> <p>Topics featured throughout the text include inversion formulas for Fourier transforms, central limit theorems, Poisson's summation formula and applications in crystallography and number theory, applications of spherical harmonic analysis to the hydrogen atom, the Radon transform, non-Euclidean geometry on the Poincar? upper half plane H or unit disc and applications to microwave engineering, fundamental domains in H for discrete groups Γ, tessellations of H from such discrete group actions, automorphic forms, and the Selberg trace formula and its applications in spectral theory as well as number 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。
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7,292円
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A Course in Old and New Geometry Volume IV Theory of Euclidean Constructions【電子書籍】[ Franz Rothe ]
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<p>The present fourth volume recalls Hilbert's axioms from the Foundations of Geometry, and elaborates the theory of geometric constructions. Both extensions and restrictions of the classical Euclidean tools, straightedge and compass, are explained and investigated. One finds constructions by a marked ruler, which allows the duplication of the cube and angle trisection, on the other hand proofs for the impossibility of such constructions by the Euclidean tools or Hilbert tools. The connection to modern algebra, and especially Galois theory is explained.</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。
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968円
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Introduction to Non-Euclidean Geometry【電子書籍】[ Harold E. Wolfe ]
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<p>This book has been written in an attempt to provide a satisfactory textbook to be used as a basis for elementary courses in Non-Euclidean Geometry. The need for such a volume, definitely intended for classroom use and containing substantial lists of exercises, has been evident for some time. It is hoped that this one will meet the requirements of those instructors who have been teaching the subject regularly, and also that its appearance will encourage others to institute such courses. The benefits and amenities of a formal study of Non-Euclidean Geometry are generally recognized. Not only is the subject matter itself valuable and intensely fascinating, well worth the time of any student of mathematics, but there is probably no elementary course which exhibits so clearly the nature and significance of geometry and, indeed, of mathematics in general. However, a mere cursory acquaintance with the subject will not do. One must follow its development at least a little way to see how things come out, and try his hand at demonstrating propositions under circumstances such that intuition no longer serves as a guide.</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。
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1,122円
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In The Search For Beauty: Unravelling Non-euclidean Geometry【電子書籍】[ Voldemar Smilga ]
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<p>This is a popular book that chronicles the historical attempts to prove the fifth postulate of Euclid on parallel lines that led eventually to the creation of non-Euclidean geometry. To absorb the mathematical content of the book, the reader should be familiar with the foundations of Euclidean geometry at the high school level. But besides the mathematics, the book is also devoted to stories about the people, brilliant mathematicians starting from Pythagoras and Euclid and terminating with Gauss, Lobachevsky and Klein. For two thousand years, mathematicians tried to prove the fifth postulate (whose formulation seemed to them too complicated to be a real postulate and not a theorem, hence the title In the Search for Beauty). But in the 19th century, they realized that such proof was impossible, and this led to a revolution in mathematics and then in physics. The two final chapters are devoted to Einstein and his general relativity which revealed to us that the geometry of the world we live in is not Euclidean.Also included is an historical essay on Omar Khayyam, who was not only a poet, but also a brilliant astronomer and mathematician.</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。
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4,145円
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Boundaries and Hulls of Euclidean Graphs From Theory to Practice【電子書籍】[ Ahcene Bounceur ]
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<p><em>Boundaries and Hulls of Euclidean Graphs: From Theory to Practice</em> presents concepts and algorithms for finding convex, concave and polygon hulls of Euclidean graphs. It also includes some implementations, determining and comparing their complexities. Since the implementation is application-dependent, either centralized or distributed, some basic concepts of the centralized and distributed versions are reviewed. Theoreticians will find a presentation of different algorithms together with an evaluation of their complexity and their utilities, as well as their field of application. Practitioners will find some practical and real-world situations in which the presented algorithms can be used.</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。
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10,418円
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To Keep the Non-Euclidean at Bay Bit Trilogy【電子書籍】[ Sheri Singerling ]
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<p>Bishop Horens is loyal, so loyal that she'll brave the dangers of travel to act as a diplomat to Rotatia, a city threatening to break away from the Church. But few are willing to accompany her. Even fewer are skilled enough to protect her from the corrupted pockets of space-time that haunt their world. Surveyor Thatchhold is one such person, and he will ensure they make it to Rotatia, despite his borderline rebellious beliefs.</p> <p>Still, the journey and the maverick surveyor are the least of the bishop's worries. Her real work will begin when she arrives in Rotatia, where she'll have to employ all her powers of persuasion. But can she really convince the renegade clergyfolk to see reason when she doesn't even know the cause for their defection? Or will she falter when she learns of the lies the Church peddles?</p> <p><strong>"To Keep the Non-Euclidean at Bay" is a companion short story to</strong> <em><strong>Blessed is the Rot</strong></em> <strong>but is also a standalone read.</strong></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。
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200円
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Foundations of Three-Dimensional Euclidean Geometry【電子書籍】[ Izu Vaisman ]
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<p>This book presents to the reader a modern axiomatic construction of three-dimensional Euclidean geometry in a rigorous and accessible form. It is helpful for high school teachers who are interested in the modernization of the teaching of geometry.</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。
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45,588円
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Topological Methods in Euclidean Spaces【電子書籍】[ Gregory L. Naber ]
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<p>Extensive development of a number of topics central to topology, including elementary combinatorial techniques, Sperner's Lemma, the Brouwer Fixed Point Theorem, homotopy theory and the fundamental group, simplicial homology theory, the Hopf Trace Theorem, the Lefschetz Fixed Point Theorem, the Stone-Weierstrass Theorem, and Morse functions. Includes new section of solutions to selected problems.</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。
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1,178円
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