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Transformation Geometry, George E. Martin


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Автор: George E. Martin
Название:  Transformation Geometry
ISBN: 9780387906362
Издательство: Springer
Классификация:
ISBN-10: 0387906363
Обложка/Формат: Hardcover
Страницы: 240
Вес: 0.50 кг.
Дата издания: 13.04.1982
Серия: Undergraduate Texts in Mathematics
Язык: English
Размер: 240 x 154 x 18
Основная тема: Mathematics
Подзаголовок: An Introduction to Symmetry
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Transformation geometry is a relatively recent expression of the successful venture of bringing together geometry and algebra. The name describes an approach as much as the content. Our subject is Euclidean geometry. Essential to the study of the plane or any mathematical system is an under- standing of the transformations on that system that preserve designated features of the system. Our study of the automorphisms of the plane and of space is based on only the most elementary high-school geometry. In particular, group theory is not a prerequisite here. On the contrary, this modern approach to Euclidean geometry gives the concrete examples that are necessary to appreciate an introduction to group theory. Therefore, a course based on this text is an excellent prerequisite to the standard course in abstract algebra taken by every undergraduate mathematics major. An advantage of having nb college mathematics prerequisite to our study is that the text is then useful for graduate mathematics courses designed for secondary teachers. Many of the students in these classes either have never taken linear algebra or else have taken it too long ago to recall even the basic ideas. It turns out that very little is lost here by not assuming linear algebra. A preliminary version of the text was written for and used in two courses-one was a graduate course for teachers and the other a sophomore course designed for the prospective teacher and the general mathematics major taking one course in geometry.


Differential Geometry

Автор: Tu, Loring W.
Название: Differential Geometry
ISBN: 3319550829 ISBN-13(EAN): 9783319550824
Издательство: Springer
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Цена: 8943.00 р.
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Описание: Over the past one hundred years, differential geometry has proven indispensable to an understanding of the physical world, in Einstein`s general theory of relativity, in the theory of gravitation, in gauge theory, and now in string theory.

Computational Geometry

Автор: de Berg
Название: Computational Geometry
ISBN: 3540779736 ISBN-13(EAN): 9783540779735
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This introduction to computational geometry focuses on algorithms. Modern insights in computational geometry are used to provide solutions that are both efficient and easy to understand and implement.

Geometry Demystified, 2nd Edition

Автор: Gibilisco Stan
Название: Geometry Demystified, 2nd Edition
ISBN: 0071756264 ISBN-13(EAN): 9780071756266
Издательство: McGraw-Hill
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Цена: 2744.00 р.
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Описание: The second edition of this cornerstone of the math curriculum is updated with all-new quizzes and test questions, clearer explanations of the material, and a completely refreshed interior design.

Random Fields and Geometry

Автор: Adler
Название: Random Fields and Geometry
ISBN: 0387481125 ISBN-13(EAN): 9780387481128
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Divided into three parts, this book talks about the developments in the study of random fields. The first part tackles Gaussian processes, the second focuses on geometry, both integral and Riemannian and the third presents the geometry of excursion sets of random fields and the related - Euler characteristic approach - to extremal probabilities.

Numerical Geometry of Non-Rigid Shapes

Автор: Bronstein Alexander, Bronstein Michael, Kimmel Ron
Название: Numerical Geometry of Non-Rigid Shapes
ISBN: 0387733000 ISBN-13(EAN): 9780387733005
Издательство: Springer
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Цена: 9781.00 р.
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Описание: Deformable objects are ubiquitous in the world surrounding us, on all levels from micro to macro. The need to study such shapes and model their behavior arises in a wide spectrum of applications, ranging from medicine to security. In recent years, non-rigid shapes have attracted a growing interest, which has led to rapid development of the field, where state-of-the-art results from very different sciences - theoretical and numerical geometry, optimization, linear algebra, graph theory, machine learning and computer graphics, to mention a few - are applied to find solutions.This book gives an overview of current state of science in analysis and synthesis of non-rigid shapes. Everyday examples are used to explain concepts and to illustrate different techniques. Self-contained presentation of topics unfolds systematically and numerous figures enrich the engaging exposition. Practice problems follow the end of each chapter, with detailed solutions to selected problems in the appendix. A gallery of colored images enhances the text.This book will be of interest to graduate students, researchers and professionals in different fields of mathematics, computer science and engineering. It could be used for courses in computer vision, numerical geometry and geometric modeling and computer graphics or for self-study.

Modern Geometry - Methods and Applications

Автор: Dubrovin
Название: Modern Geometry - Methods and Applications
ISBN: 0387972714 ISBN-13(EAN): 9780387972718
Издательство: Springer
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Цена: 9776.00 р.
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Описание: Focuses on homology theory. This volume contains introductions to the contemporary methods for the calculation of homology groups and the classification of manifesto. It is suitable for both scientists and students of mathematics as well as theoretical physics.

Modern Geometry. Methods and Applications

Автор: Dubrovin
Название: Modern Geometry. Methods and Applications
ISBN: 0387961623 ISBN-13(EAN): 9780387961620
Издательство: Springer
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Цена: 9776.00 р.
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Описание: Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a university-level mathematical education.

Modern Geometry - Methods and Applications

Автор: Dubrovin
Название: Modern Geometry - Methods and Applications
ISBN: 0387976639 ISBN-13(EAN): 9780387976631
Издательство: Springer
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Цена: 8378.00 р.
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Описание: First volume of a three-volume introduction to modern geometry, with emphasis on applications to other areas of mathematics and theoretical physics. Topics covered include tensors and their differential calculus, the calculus of variations in one and several dimensions, and geometric field theory.

Discrete differential geometry preliminary entry 38

Название: Discrete differential geometry preliminary entry 38
ISBN: 3764386207 ISBN-13(EAN): 9783764386207
Издательство: Springer
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Цена: 5589.00 р.
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Описание: This is the first book on a newly emerging field of discrete differential geometry providing an excellent way to access this exciting area. It provides discrete equivalents of the geometric notions and methods of differential geometry, such as notions of curvature and integrability for polyhedral surfaces.

Topology, Geometry and Gauge fields

Автор: Naber
Название: Topology, Geometry and Gauge fields
ISBN: 1441972536 ISBN-13(EAN): 9781441972538
Издательство: Springer
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Цена: 10480.00 р.
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Описание: This is a book on topology and geometry and, like any books on subjects as vast as these, it has a point-of-view that guided the selection of topics. Naber takes the view that the rekindled interest that mathematics and physics have shown in each other of late should be fostered and that this is best accomplished by allowing them to cohabit. The book weaves together rudimentary notions from the classical gauge theory of physics with the topological and geometrical concepts that became the mathematical models of these notions. We ask the reader to come to us with some vague notion of what an electromagnetic field might be, a willingness to accept a few of the more elementary pronouncements of quantum mechanics, a solid background in real analysis and linear algebra and some of the vocabulary of modern algebra. To such a reader we offer an excursion that begins with the definition of a topological space and finds its way eventually to the moduli space of anti-self-dual SU(2) connections on S4 with instanton number -1. Iwould go over both volumes thoroughly and make some minor changes in terminology and notation and correct any errors I find. In this new edition, a chapter on Singular Homology will be added as well as minor changes in notation and terminology throughout and some sections have been rewritten or omitted. Reviews of First Edition: “It is unusual to find a book so carefully tailored to the needs of this interdisciplinary area of mathematical physics...Naber combines a knowledge of his subject with an excellent informal writing style. (NZMS Newletter) ...this book should be very interesting for mathematicians and physicists (as well as other scientists) who are concerned with gauge theories. (Zentralblatt Fuer Mathematik)

Transformation Groups in Differential Geometry

Автор: Shoshichi Kobayashi
Название: Transformation Groups in Differential Geometry
ISBN: 3540586598 ISBN-13(EAN): 9783540586593
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Given a mathematical structure, one of the basic associated mathematical objects is its automorphism group. Chapter I describes a general theory of automorphisms of geometric structures with emphasis on the question of when the automorphism group can be given a Lie group structure.

Theory of Transformation Groups I

Автор: Sophus Lie; Jo?l Merker; Jo?l Merker; Friedrich En
Название: Theory of Transformation Groups I
ISBN: 3662512661 ISBN-13(EAN): 9783662512661
Издательство: Springer
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Цена: 15372.00 р.
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Описание:

Part I Modern Presentation.- 1 Three Principles of Thought Governing the Theory of Lie.- 2 Local Transformation Equations and Essential Parameters.- 3 Fundamental Differential Equations for Finite Continuous Transformation Groups.- 4 One-Term Groups and Ordinary Differential.- Part II English Translation.- 5 Complete Systems of Partial Differential Equations.- 7 Determination of All Systems of Equations Which Admit Given Infinitesimal Transformations.- 8 Complete Systems Which Admit All Transformations of a One-term Group.- 9 Characteristic Relationships Between the Infinitesimal Transformations of a Group.- 10 Systems of Partial Differential Equations the General Solution of Which Depends Only Upon a Finite Number of Arbitrary Constants.- 11 The Defining Equations for the Infinitesimal Transformations of a Group.- 12 Determination of All Subgroups of an r-term Group.- 13 Transitivity, Invariants.- 14 Determination of All Systems of Equations Which Admit a Given r-term Group.- 15 Invariant Families of Infinitesimal Transformations.- 16 The Adjoint Group.- 17 Composition and Isomorphism.- 18 Finite Groups, the Transformations of Which Form Discrete Continuous Families.- 19 Theory of the Similarity [AEHNLICHKEIT] of r-term Groups.- 20 Groups, the Transformations of Which Are Interchangeable With All Transformations of a Given Group.- 21 The Group of Parameters.- 22 The Determination of All r-term Groups.- 23 Invariant Families of Manifolds.- 24 Systatic and Asystatic Transformation Groups.- 25 Differential Invariants.- 26 The General Projective Group.- 27 Linear Homogeneous Groups.- 28 Approach [ANSATZ] towards the Determination of All Finite Continuous Groups of the n-times Extended Space.- 29 Characteristic Properties of the Groups Which are Equivalent to Certain Projective Groups.- Glossary of significantly used words.- Index./p>


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