Advances in Applied Mathematical Analysis and Applications,
Автор: Daniel J. Velleman Название: How to Prove It : A Structured Approach ISBN: 1108439535 ISBN-13(EAN): 9781108439534 Издательство: Cambridge Academ Рейтинг: Цена: 5861.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Proofs play a central role in advanced mathematics and theoretical computer science, and this bestselling text`s third edition will help students transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs, with a new chapter on number theory and over 150 new exercises.
Автор: Mazur Название: Prime Numbers and the Riemann Hypothesis ISBN: 1107499437 ISBN-13(EAN): 9781107499430 Издательство: Cambridge Academ Рейтинг: Цена: 3802.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book introduces prime numbers and explains the celebrated, unsolved Riemann hypothesis in a direct manner. Suitable for both scholars and those with a minimal mathematical background.
Автор: Crockett, Robin (university Of Northampton) Название: A Primer on Fourier Analysis for the Geosciences ISBN: 1316600246 ISBN-13(EAN): 9781316600245 Издательство: Cambridge Academ Рейтинг: Цена: 6019.00 р. Наличие на складе: Поставка под заказ.
Описание: An intuitive introduction to basic Fourier theory, with an emphasis on geoscience applications. Numerous worked examples from R are used to illustrate the theory, making this an ideal practical guide for graduate students and researchers who are using time-series analysis to quantify periodic features in geoscience data.
The aim of this volume is to make a connection among advanced mathematical tools and application to real problems. There are many different mathematical structures analyzed in the book and all of them are in important applications, like statistics and biology, neural networks and financial markets, asymptotic methods for partial differential equations and the problem of tsunami propagation. Plasma physics has been given a new approach, using focal points in analogy to the theory of tsunami waves.
Автор: Martin Weiser Название: Inside Finite Elements ISBN: 3110373173 ISBN-13(EAN): 9783110373172 Издательство: Walter de Gruyter Цена: 5569.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: All relevant implementation aspects of finite element methods are discussed in this book. The focus is on algorithms and data structures as well as on their concrete implementation. Theory is covered only as far as it gives insight into the construction of algorithms. In the exercises, a complete FE-solver for stationary 2D problems is implemented in Matlab/Octave. Contents:Finite Element FundamentalsGrids and Finite ElementsAssemblySolversError EstimationMesh RefinementMultigridElastomechanicsFluid MechanicsGrid Data StructureFunction Reference
Автор: Chakraborty Kalyan, Kanemitsu Shigeru, Kuzumaki Takako Название: A Quick Introduction to Complex Analysis ISBN: 9813108509 ISBN-13(EAN): 9789813108509 Издательство: World Scientific Publishing Цена: 9821.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
The aim of the book is to give a smooth analytic continuation from calculus to complex analysis by way of plenty of practical examples and worked-out exercises. The scope ranges from applications in calculus to complex analysis in two different levels.
If the reader is in a hurry, he can browse the quickest introduction to complex analysis at the beginning of Chapter 1, which explains the very basics of the theory in an extremely user-friendly way. Those who want to do self-study on complex analysis can concentrate on Chapter 1 in which the two mainstreams of the theory -- the power series method due to Weierstrass and the integration method due to Cauchy -- are presented in a very concrete way with rich examples. Readers who want to learn more about applied calculus can refer to Chapter 2, where numerous practical applications are provided. They will master the art of problem solving by following the step by step guidance given in the worked-out examples.
This book helps the reader to acquire fundamental skills of understanding complex analysis and its applications. It also gives a smooth introduction to Fourier analysis as well as a quick prelude to thermodynamics and fluid mechanics, information theory, and control theory. One of the main features of the book is that it presents different approaches to the same topic that aids the reader to gain a deeper understanding of the subject.
Автор: Anastassiou George A., Kester Merve Название: Discrete Approximation Theory ISBN: 9813145838 ISBN-13(EAN): 9789813145832 Издательство: World Scientific Publishing Цена: 19483.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
"The material, forming a perfect integral whole, offers information that puts the reader at the forefront of current research and determines fruitful directions for future advanced study. Clarity of the text and rigorous proofs represent other features of this monograph. The monograph is addressed to researchers and graduate students specializing in pure and applied mathematics who are interested in a modern approach to discrete approximation theory."
Mathematical Reviews Clippings
In this monograph, we present the authors' recent work of the last seven years in Approximation Theory. Chapters are self-contained and can be read independently and advanced courses can be taught out of this book. Here our generalized discrete singular operators are of the following types: Picard, Gauss-Weierstrass and Poisson-Cauchy operators. We treat both the unitary and non-unitary, univariate and multivariate cases of these operators, which are not necessarily positive operators. The book's results are expected to find applications in many areas of pure and applied mathematics, and statistics. As such, it is suitable for researchers, graduate students, and seminars of related subjects, and serves well as an invaluable resource for all science libraries.
Описание: This is a textbook on classical polynomial and rational approximation theory for the twenty-first century. Aimed at advanced undergraduates and graduate students across all of applied mathematics, it uses MATLAB to teach the field’s most important ideas and results.
Approximation Theory and Approximation Practice, Extended Edition differs fundamentally from other works on approximation theory in a number of ways: its emphasis is on topics close to numerical algorithms; concepts are illustrated with Chebfun; and each chapter is a PUBLISHable MATLAB M-file, available online.
The book centers on theorems and methods for analytic functions, which appear so often in applications, rather than on functions at the edge of discontinuity with their seductive theoretical challenges. Original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment. In addition, each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation.
Автор: Leslie Copley Название: Mathematics for the Physical Sciences ISBN: 3110409453 ISBN-13(EAN): 9783110409451 Издательство: Walter de Gruyter Рейтинг: Цена: 18586.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book begins with a thorough introduction to complex analysis, which is then used to understand the properties of ordinary differential equations and their solutions. The latter are obtained in both series and integral representations. Integral transforms are introduced, providing an opportunity to complement complex analysis with techniques that flow from an algebraic approach. This moves naturally into a discussion of eigenvalue and boundary vale problems. A thorough discussion of multi-dimensional boundary value problems then introduces the reader to the fundamental partial differential equations and “special functions” of mathematical physics. Moving to non-homogeneous boundary value problems the reader is presented with an analysis of Green’s functions from both analytical and algebraic points of view. This leads to a concluding chapter on integral equations.
Автор: Adcock, Ben Brugiapaglia, Simone Webster, Clayton G. Название: Sparse polynomial approximation of high-dimensional functions ISBN: 1611976871 ISBN-13(EAN): 9781611976878 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 10534.00 р. Наличие на складе: Нет в наличии.
Описание: Over seventy years ago, Richard Bellman coined the term "the curse of dimensionality" to describe phenomena and computational challenges that arise in high dimensions. These challenges, in tandem with the ubiquity of high-dimensional functions in real-world applications, have led to a lengthy, focused research effort on high-dimensional approximation—that is, the development of methods for approximating functions of many variables accurately and efficiently from data. This book provides an in-depth treatment of one of the latest installments in this long and ongoing story: sparse polynomial approximation methods. These methods have emerged as useful tools for various high-dimensional approximation tasks arising in a range of applications in computational science and engineering. It begins with a comprehensive overview of best s-term polynomial approximation theory for holomorphic, high-dimensional functions, as well as a detailed survey of applications to parametric differential equations. It then describes methods for computing sparse polynomial approximations, focusing on least squares and compressed sensing techniques.Sparse Polynomial Approximation of High-Dimensional Functions presents the first comprehensive and unified treatment of polynomial approximation techniques that can mitigate the curse of dimensionality in high-dimensional approximation, including least squares and compressed sensing. It develops main concepts in a mathematically rigorous manner, with full proofs given wherever possible, and it contains many numerical examples, each accompanied by downloadable code. The authors provide an extensive bibliography of over 350 relevant references, with an additional annotated bibliography available on the book's companion website (www.sparse-hd-book.com).This text is aimed at graduate students, postdoctoral fellows, and researchers in mathematics, computer science, and engineering who are interested in high-dimensional polynomial approximation techniques.
Автор: Koerner, T. W. (university Of Cambridge) Название: Fourier analysis ISBN: 1009230050 ISBN-13(EAN): 9781009230056 Издательство: Cambridge Academ Рейтинг: Цена: 6176.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Koerner`s much-loved book provides a shop window for the ideas, techniques and elegant results of Fourier analysis, and for their applications, emphasising the subject`s diversity of interest. This edition includes a foreword written by Professor Terence Tao introducing the text to a new generation of fans.
Автор: Christensen Название: Functions, spaces, and expansions ISBN: 0817649794 ISBN-13(EAN): 9780817649791 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This text presents a detailed exposition of key mathematical tools in analysis. Each topic covered was chosen because it plays a role beyond the field of pure mathematics, so the text is useful in exploring the computational areas of physics and engineering.
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