Lectures on geometry, Witten, Edward Hofer, Helmut Pandharipande, Rahul Lackenby, Marc Bridson, Martin R.
Автор: Siegel Название: Lectures on the Geometry of Numbers ISBN: 3540506292 ISBN-13(EAN): 9783540506294 Издательство: Springer Рейтинг: Цена: 8378.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Carl Ludwig Siegel gave a course of lectures on the Geometry of Numbers at New York University during the academic year 1945-46, when there were hardly any books on the subject other than Minkowski`s original one. This book offers an introduction to Minkowski`s work. It reveals the workings of a remarkable mind, such as Siegel`s.
Автор: Klas Diederich; G?nter Harder Название: Lectures on Algebraic Geometry I ISBN: 3834819921 ISBN-13(EAN): 9783834819925 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Categories, Products, Projective and Inductive Limits - Basic Concepts of Homological Algebra - Sheaves - Cohomology of Sheaves - Compact Riemann surfaces and Abelian Varieties
Описание: A number of important results in combinatorics, discrete geometry, and theoretical computer science have been proved using algebraic topology. While the results are quite famous, their proofs are not so widely understood. They are scattered in research papers or outlined in surveys, and they often use topological notions not commonly known among combinatorialists or computer scientists.This book is the first textbook treatment of a significant part of such results. It focuses on so-called equivariant methods, based on the Borsuk-Ulam theorem and its generalizations. The topological tools are intentionally kept on a very elementary level (for example, homology theory and homotopy groups are completely avoided). No prior knowledge of algebraic topology is assumed, only a background in undergraduate mathematics, and the required topological notions and results are gradually explained. This text started with a one-semester graduate course the author taught in fall 1993 in Prague. The transcripts of the lectures by the participants served as a basis of the first version. Some years later, a course partially based on that text was taught by GГјnter M. Ziegler in Berlin. The book is based on a thoroughly rewritten version prepared during a pre-doctoral course the author taught at the ETH Zurich in fall 2001.Most of the material was covered in the course: Chapter 1 was assigned as an introductory reading text, and the other chapters were presented in approximately 30 hours of teaching (by 45 minutes), with some omissions throughout and with only a sketchy presentation of the last chapter.
Автор: Matousek Jiri Название: Lectures on discrete geometry ISBN: 0387953744 ISBN-13(EAN): 9780387953748 Издательство: Springer Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is primarily a textbook introduction to various areas of discrete geometry. In each area, it explains several key results and methods, in an accessible and concrete manner. It also contains more advanced material in separate sections and thus it can serve as a collection of surveys in several narrower subfields. The main topics include: basics on convex sets, convex polytopes, and hyperplane arrangements; combinatorial complexity of geometric configurations; intersection patterns and transversals of convex sets; geometric Ramsey-type results; polyhedral combinatorics and high-dimensional convexity; and lastly, embeddings of finite metric spaces into normed spaces.
Автор: Ziegler GГјnter M. Название: Lectures on polytopes ISBN: 038794365X ISBN-13(EAN): 9780387943657 Издательство: Springer Рейтинг: Цена: 5304.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Based on a graduate course given at the Technische UniversitГ¤t, Berlin, these lectures present a wealth of material on the modern theory of convex polytopes. The clear and straightforward presentation features many illustrations, and provides complete proofs for most theorems. The material requires only linear algebra as a prerequisite, but takes the reader quickly from the basics to topics of recent research, including a number of unanswered questions. The lectures - introduce the basic facts about polytopes, with an emphasis on the methods that yield the results (Fourier-Motzkin elimination, Schlegel diagrams, shellability, Gale transforms, and oriented matroids) - discuss important examples and elegant constructions (cyclic and neighborly polytopes, zonotopes, Minkowski sums, permutahedra and associhedra, fiber polytopes, and the Lawrence construction) - show the excitement of current work in the field (Kalai's new diameter bounds, construction of non-rational polytopes, the Bohne-Dress tiling theorem, the upper-bound theorem), and nonextendable shellings) They should provide interesting and enjoyable reading for researchers as well as students.
Автор: de Berg Название: Computational Geometry ISBN: 3540779736 ISBN-13(EAN): 9783540779735 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Adler Название: Random Fields and Geometry ISBN: 0387481125 ISBN-13(EAN): 9780387481128 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Bronstein Alexander, Bronstein Michael, Kimmel Ron Название: Numerical Geometry of Non-Rigid Shapes ISBN: 0387733000 ISBN-13(EAN): 9780387733005 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Gibilisco Stan Название: Geometry Demystified, 2nd Edition ISBN: 0071756264 ISBN-13(EAN): 9780071756266 Издательство: McGraw-Hill Рейтинг: Цена: 2744.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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