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Introduction to Applied Numerical Analysis



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Цена: 2293р.
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Автор: Hamming Richard
Название:  Introduction to Applied Numerical Analysis
Перевод названия: Ричард Хемминг: Введение в прикладной числовой анализ
ISBN: 9780486485904
Издательство: Dover
Классификация:
ISBN-10: 0486485900
Обложка/Формат: Paperback
Страницы: 352
Вес: 0.454 кг.
Дата издания: 16.02.2012
Серия: Dover books on mathematics
Язык: English
Иллюстрации: Black & white illustrations, black & white line drawings, figures
Размер: 179 x 235 x 21
Читательская аудитория: General (us: trade)
Рейтинг:
Поставляется из: США



Introduction to Numerical Analysis: Second Edition

Автор: Hildebrand, F. B.
Название: Introduction to Numerical Analysis: Second Edition
ISBN: 0486653633 ISBN-13(EAN): 9780486653631
Издательство: Dover
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Цена: 3443 р.
Наличие на складе: Поставка под заказ.

Описание: Well-known, respected introduction, updated to integrate concepts and procedures associated with computers. Computation, approximation, interpolation, numerical differentiation and integration, smoothing of data, more. Includes 150 additional problems in this edition.

Автор: Holland, Samuel
Название: Applied Analysis by the Hilbert Space Method: An Introduction with Applications to the Wave, Heat, and Schr?dinger Equations
ISBN: 0486789292 ISBN-13(EAN): 9780486789293
Издательство: Dover
Цена: 6891 р.
Наличие на складе: Поставка под заказ.

Описание: Numerous worked examples and exercises highlight this unified treatment of the Hermitian operator theory in its Hilbert space setting. Its simple explanations of difficult subjects make it accessible to undergraduates as well as an ideal self-study guide.
Featuring full discussions of first and second order linear differential equations, the text introduces the fundamentals of Hilbert space theory and Hermitian differential operators. It derives the eigenvalues and eigenfunctions of classical Hermitian differential operators, develops the general theory of orthogonal bases in Hilbert space, and offers a comprehensive account of Schr dinger's equations. In addition, it surveys the Fourier transform as a unitary operator and demonstrates the use of various differentiation and integration techniques.
Samuel S. Holland, Jr. is a professor of mathematics at the University of Massachusetts, Amherst. He has kept this text accessible to undergraduates by omitting proofs of some theorems but maintaining the core ideas of crucially important results. Intuitively appealing to students in applied mathematics, physics, and engineering, this volume is also a fine reference for applied mathematicians, physicists, and theoretical engineers.

Applied Analysis by the Hilbert Space Method: An Introduction with Applications to the Wave, Heat, and Schr?dinger Equations

Автор: Holland Samuel
Название: Applied Analysis by the Hilbert Space Method: An Introduction with Applications to the Wave, Heat, and Schr?dinger Equations
ISBN: 0486458016 ISBN-13(EAN): 9780486458014
Издательство: Dover
Рейтинг:
Цена: 3443 р.
Наличие на складе: Поставка под заказ.

Описание: Numerous worked examples and exercises highlight this unified treatment of the Hermitian operator theory in its Hilbert space setting. Its simple explanations of difficult subjects make it accessible to undergraduates as well as an ideal self-study guide.
Featuring full discussions of first and second order linear differential equations, the text introduces the fundamentals of Hilbert space theory and Hermitian differential operators. It derives the eigenvalues and eigenfunctions of classical Hermitian differential operators, develops the general theory of orthogonal bases in Hilbert space, and offers a comprehensive account of Schrodinger's equations. In addition, it surveys the Fourier transform as a unitary operator and demonstrates the use of various differentiation and integration techniques.
Samuel S. Holland, Jr. is a professor of mathematics at the University of Massachusetts, Amherst. He has kept this text accessible to undergraduates by omitting proofs of some theorems but maintaining the core ideas of crucially important results. Intuitively appealing to students in applied mathematics, physics, and engineering, this volume is also a fine reference for applied mathematicians, physicists, and theoretical engineers.

Symmetries and Laplacians: Introduction to Harmonic Analysis, Group Representations and Applications

Автор: Gurarie David
Название: Symmetries and Laplacians: Introduction to Harmonic Analysis, Group Representations and Applications
ISBN: 0486462889 ISBN-13(EAN): 9780486462882
Издательство: Dover
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Цена: 2868 р.
Наличие на складе: Поставка под заказ.

Описание: Designed as an introduction to harmonic analysis and group representations, this book examines concepts, ideas, results, and techniques related to symmetry groups and Laplacians. Its exposition is based largely on examples and applications of general theory, covering a wide range of topics rather than delving deeply into any particular area.
Author David Gurarie, a Professor of Mathematics at Case Western Reserve University, focuses on discrete or continuous geometrical objects and structures, such as regular graphs, lattices, and symmetric Riemannian manifolds. Starting with the basics of representation theory, Professor Gurarie discusses commutative harmonic analysis, representations of compact and finite groups, Lie groups, and the Heisenberg group and semidirect products. Among numerous applications included are integrable hamiltonian systems, geodesic flows on symmetric spaces, and the spectral theory of the Hydrogen atom (Schrodinger operator with Coulomb potential) explicated by its Runge-Lenz symmetry. Three helpful appendixes include supplemental information, and the text concludes with references, a list of frequently used notations, and an index.

Introduction to Vector and Tensor Analysis

Автор: Wrede, Robert C.
Название: Introduction to Vector and Tensor Analysis
ISBN: 048661879X ISBN-13(EAN): 9780486618791
Издательство: Dover
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Цена: 2178 р.
Наличие на складе: Поставка под заказ.

Описание: This broad introduction to vector and tensor analysis is designed for the advanced undergraduate or graduate student in mathematics, physics, and engineering as well as for the practicing engineer or physicist who needs a theoretical understanding of these essential mathematical tools. In recent years, the vector approach has found its way even into writings on aspects of biology, economics, and other sciences.
The many and various topics covered include: the algebra of vectors -- linear dependence and independence, transformation equations, the inner product, the cross product, and the algebra of matrixes; the differentiation of vectors -- geometry of space curves, kinematics, moving frames of reference, Newtonian orbits and special relativity theory; partial differentiation of vectors -- geometry of space curves, kinematics, moving frames of reference, Newtonian orbits and special relativity theory; partial differentiation and associated concepts -- surface representations, bases in general coordinate systems, and maxima and minima of functions of two variables; the integration of vectors -- line integrals, surface integrals, surface tensors and volume integrals; tensor algebra and analysis -- fundamental notions of n-space, transformations and tensors, Riemannian geometry, tensor processes of differentiation, geodesics, the curvature tensor and its algebraic properties, and general relativity theory.
Throughout, Professor Wrede stresses the interrelationships between algebra and geometry, and moves frequently from one to the other. As he points out, vector and tensor analysis provides a kind of bridge between elementary aspects of linear algebra, geometry and analysis. He uses the classical notation for vector analysis, but introduces a more appropriate new notation for tensors, which he correlates with the common vector notation. He stresses proofs and concludes each section with a set of problems designed to help the student get a solid grasp of the ideas, and explore them more thoroughly on his own. His approach features a combination of important historical material with up-to-date developments in both fields. The knowledge of vector and tensor analysis gained in this way is excellent preparation for further studies in differential geometry, applied mathematics, and theoretical physics.

Introduction to Combinatorial Analysis

Автор: Riordan John
Название: Introduction to Combinatorial Analysis
ISBN: 0486425363 ISBN-13(EAN): 9780486425368
Издательство: Dover
Рейтинг:
Цена: 2063 р.
Наличие на складе: Поставка под заказ.

Описание: This is a text that defines "the number of ways there are of doing some well-defined operation." Covers permutations and combinations associated with elementary algebra, generating functions, the principle of inclusion and exclusion, the cycles of permutations, the theory of distributions, partitions, compositions, trees, and linear graphs; and permutations with restricted position. Includes problems. 1958 edition.

Introduction to Abstract Harmonic Analysis

Автор: Loomis Lynn H.
Название: Introduction to Abstract Harmonic Analysis
ISBN: 0486481239 ISBN-13(EAN): 9780486481234
Издательство: Dover
Рейтинг:
Цена: 2293 р.
Наличие на складе: Поставка под заказ.

Описание: This classic monograph is the work of a prominent contributor to the field of harmonic analysis. Geared toward advanced undergraduates and graduate students, it focuses on methods related to Gelfand's theory of Banach algebra. Prerequisites include a knowledge of the concepts of elementary modern algebra and of metric space topology.
The first three chapters feature concise, self-contained treatments of measure theory, general topology, and Banach space theory that will assist students in their grasp of subsequent material. An in-depth exposition of Banach algebra follows, along with examinations of the Haar integral and the deduction of the standard theory of harmonic analysis on locally compact Abelian groups and compact groups. Additional topics include positive definite functions and the generalized Plancherel theorem, the Wiener Tauberian theorem and the Pontriagin duality theorem, representation theory, and the theory of almost periodic functions.

An Introduction to Mathematical Analysis

Автор: Rankin Robert
Название: An Introduction to Mathematical Analysis
ISBN: 048646251X ISBN-13(EAN): 9780486462516
Издательство: Dover
Рейтинг:
Цена: 3443 р.
Наличие на складе: Поставка под заказ.

Автор: Riordan, John
Название: Introduction to Combinatorial Analysis
ISBN: 0486784738 ISBN-13(EAN): 9780486784731
Издательство: Dover
Цена: 2293 р.
Наличие на складе: Поставка под заказ.

Introduction to Simulation and Risk Analysis, Second Edition

Автор: Evans, James
Название: Introduction to Simulation and Risk Analysis, Second Edition
ISBN: 0486779890 ISBN-13(EAN): 9780486779898
Издательство: Dover
Цена: 2868 р.
Наличие на складе: Поставка под заказ.

Автор: Newland, D.
Название: An Introduction to Random Vibrations, Spectral & Wavelet Analysis: Third Edition
ISBN: 0486789055 ISBN-13(EAN): 9780486789057
Издательство: Dover
Цена: 6891 р.
Наличие на складе: Поставка под заказ.

Описание: One of the first engineering books to cover wavelet analysis, this classic text describes and illustrates basic theory, with a detailed explanation of the workings of discrete wavelet transforms. Computer algorithms are explained and supported by examples and a set of problems, and an appendix lists ten computer programs for calculating and displaying wavelet transforms.
Starting with an introduction to probability distributions and averages, the text examines joint probability distributions, ensemble averages, and correlation; Fourier analysis; spectral density and excitation response relations for linear systems; transmission of random vibration; statistics of narrow band processes; and accuracy of measurements. Discussions of digital spectral analysis cover discrete Fourier transforms as well as windows and smoothing. Additional topics include the fast Fourier transform; pseudo-random processes; multidimensional spectral analysis; response of continuous linear systems to stationary random excitation; and discrete wavelet analysis.
Numerous diagrams and graphs clarify the text, and complicated mathematics are simplified whenever possible. This volume is suitable for upper-level undergraduates and graduate students in engineering and the applied sciences; it is also an important resource for professionals.

Introduction to Abstract Analysis

Автор: Goldstein, Marvin
Название: Introduction to Abstract Analysis
ISBN: 0486789462 ISBN-13(EAN): 9780486789460
Издательство: Dover
Рейтинг:
Цена: 2293 р.
Наличие на складе: Поставка под заказ.

Описание: Developed from lectures delivered at NASA's Lewis Research Center, this concise text introduces scientists and engineers with backgrounds in applied mathematics to the concepts of abstract analysis. Rather than preparing readers for research in the field, this volume offers background necessary for reading the literature of pure mathematics.
Starting with elementary set concepts, the treatment explores real numbers, vector and metric spaces, functions and relations, infinite collections of sets, and limits of sequences. Additional topics include continuity and function algebras, Cauchy completeness of metric space, infinite series, and sequences of functions and function spaces. The relation between convergence and continuity and algebraic operations is discussed in the abstract setting of linear spaces in order to acquaint readers with these important concepts in a fairly simple way. Detailed, easy-to-follow proofs and examples illustrate how the material relates to and serves as a foundation for more advanced subjects.


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