Описание: A New Approach to Differential Geometry using Clifford`s Geometric Algebra simplifies the discussion to an accessible level of differential geometry by introducing Clifford algebra.
Автор: Bobenko Название: Computational Approach to Riemann Surfaces ISBN: 3642174124 ISBN-13(EAN): 9783642174124 Издательство: Springer Рейтинг: Цена: 6880 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume offers a well-structured overview of existent computational approaches to Riemann surfaces and those currently in development. The authors of the contributions represent the groups providing publically available numerical codes in this field. Thus this volume illustrates which software tools are available and how they can be used in practice. In addition examples for solutions to partial differential equations and in surface theory are presented. The intended audience of this book is twofold. It can be used as a textbook for a graduate course in numerics of Riemann surfaces, in which case the standard undergraduate background, i.e., calculus and linear algebra, is required. In particular, no knowledge of the theory of Riemann surfaces is expected; the necessary background in this theory is contained in the Introduction chapter. At the same time, this book is also intended for specialists in geometry and mathematical physics applying the theory of Riemann surfaces in their research. It is the first book on numerics of Riemann surfaces that reflects the progress made in this field during the last decade, and it contains original results. There are a growing number of applications that involve the evaluation of concrete characteristics of models analytically described in terms of Riemann surfaces. Many problem settings and computations in this volume are motivated by such concrete applications in geometry and mathematical physics.
Автор: Li, Jichun Chen, Yi-tung Название: Computational partial differential equations using matlab ISBN: 1420089048 ISBN-13(EAN): 9781420089042 Издательство: Taylor&Francis Рейтинг: Цена: 13841 р. Наличие на складе: Нет в наличии.
Описание: Gives an introduction to advanced numerical methods. This textbook introduces several major numerical methods for solving various partial differential equations (PDEs) in science and engineering, including elliptic, parabolic, and hyperbolic equations. It helps students better understand the numerical methods through the use of MATLAB[registered].
Описание: The book is suitable for readers with a background in basic finite element and finite difference methods for partial differential equations who wants gentle introductions to advanced topics like parallel computing, multigrid methods, and special methods for systems of PDEs. The goal of all chapters is to *compute* solutions to problems, hence algorithmic and software issues play a central role. All software examples use the Diffpack programming environment, so to take advantage of these examples some experience with Diffpack is required. There are also some chapters covering complete applications, i.e., the way from a model, expressed as systems of PDEs, through discretization methods, algorithms, software design, verification, and computational examples.
Автор: Tu, Loring W. Название: Differential Geometry ISBN: 3319550829 ISBN-13(EAN): 9783319550824 Издательство: Springer Рейтинг: Цена: 9795 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: de Berg Название: Computational Geometry ISBN: 3540779736 ISBN-13(EAN): 9783540779735 Издательство: Springer Рейтинг: Цена: 7652 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: Francis Borceux Название: A Differential Approach to Geometry ISBN: 3319377477 ISBN-13(EAN): 9783319377476 Издательство: Springer Рейтинг: Цена: 14540 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This third volume in a trilogy of texts on geometry guides students through the development of differential geometry. It links classical surface theory with modern Riemannian geometry and prepares readers for advanced topics such as algebraic topology.
Название: Differential Approach to Geometry ISBN: 3319017357 ISBN-13(EAN): 9783319017358 Издательство: Springer Рейтинг: Цена: 16836 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This third volume in a trilogy of texts on geometry guides students through the development of differential geometry. It links classical surface theory with modern Riemannian geometry and prepares readers for advanced topics such as algebraic topology.
Differential Forms and the Geometry of General Relativity provides readers with a coherent path to understanding relativity. Requiring little more than calculus and some linear algebra, it helps readers learn just enough differential geometry to grasp the basics of general relativity.
The book contains two intertwined but distinct halves.Designed for advanced undergraduate or beginning graduate students in mathematics or physics, most of the text requires little more than familiarity with calculus and linear algebra. The first half presents an introduction to general relativity that describes some of the surprising implications of relativity without introducing more formalism than necessary. This nonstandard approach uses differential forms rather than tensor calculus and minimizes the use of index gymnastics as much as possible.
The second half of the book takes a more detailed look at the mathematics of differential forms. It covers the theory behind the mathematics used in the first half by emphasizing a conceptual understanding instead of formal proofs. The book provides a language to describe curvature, the key geometric idea in general relativity.
Автор: Devadoss Satyan L., O`Rourke Joseph Название: Discrete and Computational Geometry ISBN: 0691145539 ISBN-13(EAN): 9780691145532 Издательство: Wiley Рейтинг: Цена: 12012 р. Наличие на складе: Нет в наличии.
Описание: Offers a comprehensive introduction to discrete geometry. This book covers traditional topics such as convex hulls, triangulations, and Voronoi diagrams, as well as subjects like pseudotriangulations, curve reconstruction, and locked chains. It is suitable for sophomores in mathematics, computer science, engineering, or physics.
Автор: David Betounes Название: Partial Differential Equations for Computational Science ISBN: 1461274567 ISBN-13(EAN): 9781461274568 Издательство: Springer Рейтинг: Цена: 16070 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book will have strong appeal to interdisciplinary audiences, particularly in regard to its treatments of fluid mechanics, heat equations, and continuum mechanics. There is also a heavy focus on vector analysis. Maple examples, exercises, and an appendix is also included.
Описание: This graduate textbook - now in its second edition - teaches finite element methods and basic finite difference methods from a computational point of view. The emphasis is on developing flexible computer programs using the numerical library Diffpack. Diffpack is explained in detail for problems including model equations in applied mathematics, heat transfer, elasticity, and viscous fluid flow. All the program examples, as well as Diffpack for use with this book, are available on the Internet.
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