Author: Theodore J. Rivlin

Publisher: Courier Corporation

ISBN: 9780486495545

Category: Mathematics

Page: 150

View: 3624

Concise but wide-ranging, this text provides an introduction to methods of approximating continuous functions by functions that depend only on a finite number of parameters. Not only does the author discuss the theoretical underpinnings of many common algorithms, but he also demonstrates the procedure's practical applications. Each method of approximation features at least one algorithm that traces the path to formulation of the actual numerical approximation. This volume will prove particularly useful as a supplement to introductory courses in both mathematical and numerical analysis; written for upper-level graduate students, it presupposes a knowledge of advanced calculus and linear algebra.
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Second Edition

Author: F. B. Hildebrand

Publisher: Courier Corporation

ISBN: 0486318559

Category: Mathematics

Page: 669

View: 5053

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.
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Author: Alfred North Whitehead

Publisher: Courier Dover Publications

ISBN: 0486813665

Category: Mathematics

Page: 176

View: 8597

Originally published: New York: Henry Holt & Company, 1911.
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Author: Charles Fox

Publisher: Courier Corporation

ISBN: 9780486654997

Category: Mathematics

Page: 271

View: 6591

In this highly regarded text for advanced undergraduate and graduate students, the author develops the calculus of variations both for its intrinsic interest and for its powerful applications to modern mathematical physics. Topics include first and second variations of an integral, generalizations, isoperimetrical problems, least action, special relativity, elasticity, more. 1963 edition.
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Author: Maxwell Rosenlicht

Publisher: Courier Corporation

ISBN: 0486134687

Category: Mathematics

Page: 272

View: 6622

Written for junior and senior undergraduates, this remarkably clear and accessible treatment covers set theory, the real number system, metric spaces, continuous functions, Riemann integration, multiple integrals, and more. 1968 edition.
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Author: Harold Thayer Davis

Publisher: Courier Corporation

ISBN: 9780486609713

Category: Mathematics

Page: 566

View: 2220

Topics covered include differential equations of the 1st order, the Riccati equation and existence theorems, 2nd order equations, elliptic integrals and functions, nonlinear mechanics, nonlinear integral equations, more. Includes 137 problems.
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An Introduction to Advanced Techniques

Author: Peter Linz

Publisher: Courier Corporation

ISBN: 9780486417080

Category: Mathematics

Page: 228

View: 8628

Concise text introduces numerical analysis as a practical, problem-solving discipline, focusing on fundamentals of functional analysis and approximation theory, the major results of theoretical numerical analysis; and specific topics that illustrate the power and usefulness of theoretical analysis. Ideal for use in a one-year graduate course, the text also offers engineers and scientists a simple introduction to major ideas of modern numerical analysis. A knowledge of advanced calculus is assumed.
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An Introduction to the Methods of Rayleigh, Ritz, Weinstein, and Aronszajn

Author: S. H. Gould

Publisher: Courier Corporation

ISBN: 0486165809

Category: Science

Page: 192

View: 6483

Purely mathematical treatment offers simple exposition of general theory of variational methods with special reference to the vibrating plate. No math beyond basic calculus. Includes exercises. 1957 edition.
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Author: John W. Dettman

Publisher: Courier Corporation

ISBN: 9780486651910

Category: Mathematics

Page: 404

View: 6839

Excellent introductory text for students with one year of calculus. Topics include complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions and boundary-value problems. Includes 48 black-and-white illustrations. Exercises with solutions. Index.
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Author: Paul R. Halmos

Publisher: Courier Dover Publications

ISBN: 0486814890

Category: Mathematics

Page: 112

View: 2340

This concise classic by Paul R. Halmos, a well-known master of mathematical exposition, has served as a basic introduction to aspects of ergodic theory since its first publication in 1956. "The book is written in the pleasant, relaxed, and clear style usually associated with the author," noted the Bulletin of the American Mathematical Society, adding, "The material is organized very well and painlessly presented." Suitable for advanced undergraduates and graduate students in mathematics, the treatment covers recurrence, mean and pointwise convergence, ergodic theorem, measure algebras, and automorphisms of compact groups. Additional topics include weak topology and approximation, uniform topology and approximation, invariant measures, unsolved problems, and other subjects.
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Author: J. T. Oden,J. N. Reddy

Publisher: Courier Corporation

ISBN: 0486142213

Category: Technology & Engineering

Page: 448

View: 1274

This introduction to the theory of Sobolev spaces and Hilbert space methods in partial differential equations is geared toward readers of modest mathematical backgrounds. It offers coherent, accessible demonstrations of the use of these techniques in developing the foundations of the theory of finite element approximations. J. T. Oden is Director of the Institute for Computational Engineering & Sciences (ICES) at the University of Texas at Austin, and J. N. Reddy is a Professor of Engineering at Texas A&M University. They developed this essentially self-contained text from their seminars and courses for students with diverse educational backgrounds. Their effective presentation begins with introductory accounts of the theory of distributions, Sobolev spaces, intermediate spaces and duality, the theory of elliptic equations, and variational boundary value problems. The second half of the text explores the theory of finite element interpolation, finite element methods for elliptic equations, and finite element methods for initial boundary value problems. Detailed proofs of the major theorems appear throughout the text, in addition to numerous examples.
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Author: J. C. C. McKinsey

Publisher: Courier Corporation

ISBN: 0486154424

Category: Mathematics

Page: 384

View: 4385

This comprehensive overview of the mathematical theory of games illustrates applications to situations involving conflicts of interest, including economic, social, political, and military contexts. Advanced calculus a prerequisite. Includes 51 figures and 8 tables. 1952 edition.
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Author: Edward A. Bender

Publisher: Courier Corporation

ISBN: 0486137120

Category: Mathematics

Page: 272

View: 6036

Accessible text features over 100 reality-based examples pulled from the science, engineering, and operations research fields. Prerequisites: ordinary differential equations, continuous probability. Numerous references. Includes 27 black-and-white figures. 1978 edition.
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Author: Alain Robert

Publisher: Courier Corporation

ISBN: 9780486432793

Category: Mathematics

Page: 156

View: 3682

This concise text is based on the axiomatic internal set theory approach. Theoretical topics include idealization, standardization, and transfer, real numbers and numerical functions, continuity, differentiability, and integration. Applications cover invariant means, approximation of functions, differential equations, more. Exercises, hints, and solutions. "Mathematics teaching at its best." — European Journal of Physics. 1988 edition.
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Author: V. F. Dem’yanov,V. N. Malozemov

Publisher: Courier Corporation

ISBN: 0486793281

Category: Mathematics

Page: 320

View: 2479

Geared toward students of mathematical programming, this user-friendly text offers a thorough introduction to the part of optimization theory that lies between approximation theory and mathematical programming. 37 illustrations. 1974 edition.
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Author: Howard J. Wilcox,David L. Myers

Publisher: Courier Corporation

ISBN: 9780486682938

Category: Mathematics

Page: 159

View: 9665

This book arose out of the authors' desire to present Lebesgue integration and Fourier series on an undergraduate level, since most undergraduate texts do not cover this material or do so in a cursory way. The result is a clear, concise, well-organized introduction to such topics as the Riemann integral, measurable sets, properties of measurable sets, measurable functions, the Lebesgue integral, convergence and the Lebesgue integral, pointwise convergence of Fourier series and other subjects. The authors not only cover these topics in a useful and thorough way, they have taken pains to motivate the student by keeping the goals of the theory always in sight, justifying each step of the development in terms of those goals. In addition, whenever possible, new concepts are related to concepts already in the student's repertoire. Finally, to enable readers to test their grasp of the material, the text is supplemented by numerous examples and exercises. Mathematics students as well as students of engineering and science will find here a superb treatment, carefully thought out and well presented , that is ideal for a one semester course. The only prerequisite is a basic knowledge of advanced calculus, including the notions of compactness, continuity, uniform convergence and Riemann integration.
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Author: Earl A. Coddington

Publisher: Courier Corporation

ISBN: 0486131831

Category: Mathematics

Page: 320

View: 4411

A thorough, systematic first course in elementary differential equations for undergraduates in mathematics and science, requiring only basic calculus for a background. Includes many exercises and problems, with answers. Index.
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An Introduction to Proofs

Author: Joseph J. Rotman

Publisher: Courier Corporation

ISBN: 0486151689

Category: Mathematics

Page: 256

View: 7369

This treatment covers the mechanics of writing proofs, the area and circumference of circles, and complex numbers and their application to real numbers. 1998 edition.
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The Mathematics of Infinite Processes

Author: Anthony Gardiner

Publisher: Courier Corporation

ISBN: 9780486425382

Category: Mathematics

Page: 308

View: 2145

Conceived by the author as an introduction to "why the calculus works," this volume offers a 4-part treatment: an overview; a detailed examination of the infinite processes arising in the realm of numbers; an exploration of the extent to which familiar geometric notions depend on infinite processes; and the evolution of the concept of functions. 1982 edition.
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Author: V. I. Krylov

Publisher: Courier Corporation

ISBN: 048615467X

Category: Mathematics

Page: 368

View: 8601

An introduction to the principal ideas and results of the contemporary theory of approximate integration, this volume approaches its subject from the viewpoint of functional analysis. The 3-part treatment begins with concepts and theorems encountered in the theory of quadrature and then explores the problem of calculation of definite integrals and methods for the calculation of indefinite integral. 1962 edition.
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