An Introduction to Numerical Analysis 2e, Atkinson
Автор: Burden Annette, Burden Richard, Faires J. Douglas Название: Numerical analysis ISBN: 1305253663 ISBN-13(EAN): 9781305253667 Издательство: Cengage Learning Рейтинг: Цена: 9423.00 р. 13462.00-30% Наличие на складе: Есть (1 шт.) Описание: Introduces readers to the theory and application of modern numerical approximation techniques. Providing an accessible treatment that only requires a calculus prerequisite, the authors explain how, why, and when approximation techniques can be expected to work - and why, in some situations, they fail.
Описание: This book provides a lively and accessible introduction to the numerical solution of stochastic differential equations with the aim of making this subject available to the widest possible readership. It presents an outline of the underlying convergence and stability theory while avoiding technical details. Key ideas are illustrated with numerous computational examples and computer code is listed at the end of each chapter. The authors include 150 exercises, with solutions available online, and 40 programming tasks.Although introductory, the book covers a range of modern research topics, including It? versus Stratonovich calculus, implicit methods, stability theory, nonconvergence on nonlinear problems, multilevel Monte Carlo, approximation of double stochastic integrals, and tau leaping for chemical and biochemical reaction networks.An Introduction to the Numerical Simulation of Stochastic Differential Equations is appropriate for undergraduates and postgraduates in mathematics, engineering, physics, chemistry, finance, and related disciplines, as well as researchers in these areas. The material assumes only a competence in algebra and calculus at the level reached by a typical first-year undergraduate mathematics class, and prerequisites are kept to a minimum. Some familiarity with basic concepts from numerical analysis and probability is also desirable but not necessary.
"This book is suitable as a textbook for an introductory undergraduate mathematics course on discrete Fourier and wavelet transforms for students with background in calculus and linear algebra. The particular strength of this book is its accessibility to students with no background in analysis. The exercises and computer explorations provide the reader with many opportunities for active learning. Studying from this text will also help students strengthen their background in linear algebra."
Mathematical Association of America
This textbook for undergraduate mathematics, science, and engineering students introduces the theory and applications of discrete Fourier and wavelet transforms using elementary linear algebra, without assuming prior knowledge of signal processing or advanced analysis.
It explains how to use the Fourier matrix to extract frequency information from a digital signal and how to use circulant matrices to emphasize selected frequency ranges. It introduces discrete wavelet transforms for digital signals through the lifting method and illustrates through examples and computer explorations how these transforms are used in signal and image processing. Then the general theory of discrete wavelet transforms is developed via the matrix algebra of two-channel filter banks. Finally, wavelet transforms for analog signals are constructed based on filter bank results already presented, and the mathematical framework of multiresolution analysis is examined.
Автор: Bertrand Mercier Название: An Introduction to the Numerical Analysis of Spectral Methods ISBN: 3662137577 ISBN-13(EAN): 9783662137574 Издательство: Springer Рейтинг: Цена: 11753.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is a very lucid introduction to spectral methods emphasizing the mathematical aspects of the theory rather than the many applications in numerical analysis and the engineering sciences. The first part is a fairly complete introduction to Fourier series while the second emphasizes polynomial expansion methods like Chebyshev`s.
Автор: Ryaben`kii, Victor S. , Tsynkov, Semyon V. Название: A Theoretical Introduction to Numerical Analysis ISBN: 0367453398 ISBN-13(EAN): 9780367453398 Издательство: Taylor&Francis Рейтинг: Цена: 10104.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
A Theoretical Introduction to Numerical Analysis presents the general methodology and principles of numerical analysis, illustrating these concepts using numerical methods from real analysis, linear algebra, and differential equations. The book focuses on how to efficiently represent mathematical models for computer-based study.
An accessible yet rigorous mathematical introduction, this book provides a pedagogical account of the fundamentals of numerical analysis. The authors thoroughly explain basic concepts, such as discretization, error, efficiency, complexity, numerical stability, consistency, and convergence. The text also addresses more complex topics like intrinsic error limits and the effect of smoothness on the accuracy of approximation in the context of Chebyshev interpolation, Gaussian quadratures, and spectral methods for differential equations. Another advanced subject discussed, the method of difference potentials, employs discrete analogues of Calderon's potentials and boundary projection operators. The authors often delineate various techniques through exercises that require further theoretical study or computer implementation.
By lucidly presenting the central mathematical concepts of numerical methods, A Theoretical Introduction to Numerical Analysis provides a foundational link to more specialized computational work in fluid dynamics, acoustics, and electromagnetism.
Автор: Kharab, Abdelwahab Название: An Introduction to Numerical Methods ISBN: 1032406836 ISBN-13(EAN): 9781032406831 Издательство: Taylor&Francis Рейтинг: Цена: 8879.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Robert M. Corless; Nicolas Fillion Название: A Graduate Introduction to Numerical Methods ISBN: 1493953109 ISBN-13(EAN): 9781493953103 Издательство: Springer Рейтинг: Цена: 11179.00 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.
Автор: J. Stoer; R. Bartels; W. Gautschi; R. Bulirsch; C. Название: Introduction to Numerical Analysis ISBN: 144193006X ISBN-13(EAN): 9781441930064 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: New edition of a well-known classic in the field; Previous edition sold over 6000 copies worldwide; Fully-worked examples; Many carefully selected problems
Автор: Cook Griffin Название: Numerical Analysis: An Introduction ISBN: 1682857239 ISBN-13(EAN): 9781682857236 Издательство: Неизвестно Рейтинг: Цена: 24140.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The study of algorithms, which use numerical approximation for the solution of problems of mathematical analysis, is termed as numerical analysis. It has applications in the diverse areas of physical sciences and engineering. Direct and iterative methods and discretization are generally employed in numerical analysis. An important area of this field is the study of errors. Errors are introduced in the solutions obtained through numerical analysis due to round-off, truncation and discretization methods. The major sub-disciplines within this field are interpolation, extrapolation and regression, mathematical optimization, numerical integration, numerical differential equation, etc. This textbook provides comprehensive insights into numerical analysis. Most of the topics introduced in this book cover the principles and methodologies used in numerical analysis. This textbook, with its detailed analyses and data, will prove immensely beneficial to professionals and students involved in this area at various levels.
Описание: Praise for the First Edition "... outstandingly appealing with regard to its style, contents, considerations of requirements of practice, choice of examples, and exercises. " -Zentrablatt Math "... carefully structured with many detailed worked examples... " -The Mathematical Gazette "...
Автор: Andreas Hohmann; Peter Deuflhard Название: Numerical Analysis in Modern Scientific Computing ISBN: 1441929908 ISBN-13(EAN): 9781441929907 Издательство: Springer Рейтинг: Цена: 10335.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book introduces the main topics of modern numerical analysis: sequence of linear equations, error analysis, least squares, nonlinear systems, symmetric eigenvalue problems, three-term recursions, interpolation and approximation, large systems and numerical integrations.
Автор: Tom Richmond Название: General Topology: An Introduction ISBN: 3110686562 ISBN-13(EAN): 9783110686562 Издательство: Walter de Gruyter Рейтинг: Цена: 14495.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
The first half of the book provides an introduction to general topology, with ample space given to exercises and carefully selected applications. The second half of the text includes topics in asymmetric topology, a field motivated by applications in computer science. Recurring themes include the interactions of topology with order theory and mathematics designed to model loss-of-resolution situations.
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