Introduction To Numerical Computation, An, Shen Wen
Автор: Tu, Loring W. Название: Introduction to manifolds ISBN: 1441973990 ISBN-13(EAN): 9781441973993 Издательство: Springer Рейтинг: Цена: 4203 р. Наличие на складе: Ожидается поступление.
Описание: Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory. In this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book the reader should be able to compute, at least for simple spaces, one of the most basic topological invariants of a manifold, its de Rham cohomology. Along the way, the reader acquires the knowledge and skills necessary for further study of geometry and topology. The requisite point-set topology is included in an appendix of twenty pages; other appendices review facts from real analysis and linear algebra. Hints and solutions are provided to many of the exercises and problems. This work may be used as the text for a one-semester graduate or advanced undergraduate course, as well as by students engaged in self-study. Requiring only minimal undergraduate prerequisites, 'Introduction to Manifolds' is also an excellent foundation for Springer's GTM 82, 'Differential Forms in Algebraic Topology'.
Автор: Kuntjoro, Wahyu Название: Introduction to the finite element method ISBN: 0071241442 ISBN-13(EAN): 9780071241441 Издательство: McGraw-Hill Рейтинг: Цена: 2613 р. Наличие на складе: Поставка под заказ.
Описание: Helping students understand the concepts and applications, this book keeps to a minimum rigorous mathematical treatments and derivations. It describes each domain analysis with a consistent approach of finite element formulation and solution. It also includes simple examples to show students how to solve related problems.
Описание: Provides an introduction to the many topics of numerical analysis. This book contains several exercises and examples and many figures.
Автор: Komm Название: An Introduction to Online Computation ISBN: 3319427474 ISBN-13(EAN): 9783319427478 Издательство: Springer Рейтинг: Цена: 7947 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This textbook explains online computation in different settings, with particular emphasis on randomization and advice complexity. These settings are analyzed for various online problems such as the paging problem, the k-server problem, job shop scheduling, the knapsack problem, the bit guessing problem, and problems on graphs.This book is appropriate for undergraduate and graduate students of computer science, assuming a basic knowledge in algorithmics and discrete mathematics. Also researchers will find this a valuable reference for the recent field of advice complexity.
Автор: Corless Robert Название: Graduate Introduction to Numerical Methods ISBN: 1461484529 ISBN-13(EAN): 9781461484523 Издательство: Springer Рейтинг: Цена: 7479 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book gathers important material from floating-point arithmetic, polynomials, series, interpolation, the discrete Fourier transform, numerical differentiation and integration, numerical solutions of ODEs, BVPs, DDEs, and PDEs, and optimization.
Описание: This is an introduction to the mathematical theory which underlies subdivision surfaces, as it is used in computer graphics and animation. Subdivision surfaces enable a designer to specify the approximate form of a surface that defines an object and then to refine it to get a more useful or attractive version. A considerable amount of mathematical theory is needed to understand the characteristics of the resulting surfaces, and this book explains the material carefully and rigorously. The text is highly accessible, organising subdivision methods in a unique and unambiguous hierarchy which builds insight and understanding. The material is not restricted to questions related to regularity of subdivision surfaces at so-called extraordinary points, but gives a broad discussion of the various methods. It is therefore an excellent preparation for more advanced texts that delve more deeply into special questions of regularity.
Автор: Endre S?li Название: An Introduction to Numerical Analysis ISBN: 0521007941 ISBN-13(EAN): 9780521007948 Издательство: Cambridge Academ Рейтинг: Цена: 4683 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Numerical analysis provides the theoretical foundation for the numerical algorithms we rely on to solve a multitude of computational problems in science. Based on a successful course at Oxford University, this book covers a wide range of such problems ranging from the approximation of functions and integrals to the approximate solution of algebraic, transcendental, differential and integral equations. Throughout the book, particular attention is paid to the essential qualities of a numerical algorithm - stability, accuracy, reliability and efficiency. The authors go further than simply providing recipes for solving computational problems. They carefully analyse the reasons why methods might fail to give accurate answers, or why one method might return an answer in seconds while another would take billions of years. This book is ideal as a text for students in the second year of a university mathematics course. It combines practicality regarding applications with consistently high standards of rigour.
Описание: An accessible yet rigorous mathematical introduction, A Theoretical Introduction to Numerical Analysis provides a pedagogical account of the fundamentals of numerical analysis. Using numerical methods from real analysis, linear algebra, and differe
Описание: MATLAB is a programme which lends itself to the implementation of most numerical algorithms. This text, which uses MATLAB, gives an overview of structured programming and numerical methods and covers numerical methods for solving a range of problems, from integration to the numerical solution of differential equations.
Описание: This is a textbook for upper division undergraduates and beginning graduate students. Its objective is that students learn to derive, test and analyze numerical methods for solving differential equations, and this includes both ordinary and partial differential equations. In this sense the book is constructive rather than theoretical, with the intention that the students learn to solve differential equations numerically and understand the mathematical and computational issues that arise when this is done. An essential component of this is the exercises, which develop both the analytical and computational aspects of the material. The importance of the subject of the book is that most laws of physics involve differential equations, as do the modern theories on financial assets. Moreover many computer animation methods are now based on physics based rules and are heavily invested in differential equations. Consequently numerical methods for differential equations are important for multiple areas. The author currently teaches at Rensselaer Polytechnic Institute and is an expert in his field. He has previously published a book with Springer, Introduction to Perturbation Methods.
Описание: Demonstrates how the built-in functions of MATLAB[registered] can be used to solve systems of linear equations, ODEs, roots of transcendental equations, statistical problems, optimization problems, control systems problems, and stress analysis problems. It also discusses the finite element method and mechanical controls.
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