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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.


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.

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.

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>

Digital Sound Synthesis by Physical Modeling Using the Functional Transformation Method

Автор: Lutz Trautmann; Rudolf Rabenstein
Название: Digital Sound Synthesis by Physical Modeling Using the Functional Transformation Method
ISBN: 0306478757 ISBN-13(EAN): 9780306478758
Издательство: Springer
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Цена: 20956.00 р.
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Описание: Discusses physical modelling of musical instruments for real-time sound synthesis. This book includes the derivation of mathematical models in the form of partial differential equations for the vibrational description of strings, membranes/plates, and resonant bodies. It is useful for graduate courses on sound synthesis techniques.

Algebraic Topology and Transformation Groups

Автор: Tammo tom Dieck
Название: Algebraic Topology and Transformation Groups
ISBN: 3540505288 ISBN-13(EAN): 9783540505280
Издательство: Springer
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Цена: 5583.00 р.
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Algebraic Transformation Groups and Algebraic Varieties

Автор: Vladimir Leonidovich Popov
Название: Algebraic Transformation Groups and Algebraic Varieties
ISBN: 3642058752 ISBN-13(EAN): 9783642058752
Издательство: Springer
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Цена: 20263.00 р.
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Описание: The book covers topics in the theory of algebraic transformation groups and algebraic varieties which are very much at the frontier of mathematical research.

Cell Transformation

Автор: J. Celis; A. Graessmann
Название: Cell Transformation
ISBN: 1468450115 ISBN-13(EAN): 9781468450118
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This volume is based on the proceedings of a NATOjFEBSjGulbenkian Foundation sponsored Summer School held in September 1984 in Sintra- Estoril, Portugal. Given the accelerated growth of knowledge in the field of cell transformation, it seemed timely to hold a summer school to discuss current developments in this area of biology as well as to evaluate emerging technology. The first article in this volume gives an evaluation of the various cellular systems to study neoplasia. Their properties as well as advantages and disadvantages are dis- cussed. The second section deals with the role of oncogenes in cell transformation. Particular emphasis is given to the question of whether activated proto-one genes are cancer genes and to the func- tions of oncogene products. The third part is dedicated to viruses and includes articles on papova viruses, Epstein-Barr virus, adeno- virus, parvo viruses and HTLV. The fourth part deals with gene ex- pression in normal and transformed cells while the concluding sec- tion considers various aspects of gene regulation in eukaryotic cell s. vi PREFACE We wish to express our appreciation to Dr. Maria C. Lechner who provided valuable advice and help concerning the organization of this meeting. We are also indebted to Ms. Lisbeth Heilesen and Ms. Anne Mette Lygaard for typing the manuscripts and for their out- standing administration of the meeting. J. E. Cel is February 1985 A. Graessmann CONTENTS NEOPLASTIC TRANSFORMATION SYSTEMS 1. Neoplastic Transformation Systems - Their Use In Stu- ing Carcinogenesis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Theory of Transformation Groups I

Автор: Lie Sophus
Название: Theory of Transformation Groups I
ISBN: 3662462109 ISBN-13(EAN): 9783662462102
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Theory of Transformation Groups I

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.


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