1992-01-01

This book offers engineers and physicists working knowledge of a number of mathematical facts and techniques not commonly treated in courses in advanced calculus, but nevertheless extremely useful when applied to typical problems.

Author: Francis Begnaud Hildebrand

Publisher: Courier Corporation

ISBN: 0486670023

Category: Mathematics

Page: 362

View: 415

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This book offers engineers and physicists working knowledge of a number of mathematical facts and techniques not commonly treated in courses in advanced calculus, but nevertheless extremely useful when applied to typical problems. Explores linear algebraic equations, quadratic and Hermitian forms, operations with vectors and matrices, the calculus of variations, more. Includes annotated problems and exercises.

2016-12-09

Code snippets incorporated throughout the text. All graphics and illustrations generated using these tools. Praise for the first edition: "The author mixed in a remarkable way theoretical results and applications illustrating the results.

Author: Jon H. Davis

Publisher: Birkhäuser

ISBN: 9783319433707

Category: Mathematics

Page: 781

View: 239

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Broadly organized around the applications of Fourier analysis, "Methods of Applied Mathematics with a MATLAB Overview" covers both classical applications in partial differential equations and boundary value problems, as well as the concepts and methods associated to the Laplace, Fourier, and discrete transforms. Transform inversion problems are also examined, along with the necessary background in complex variables. A final chapter treats wavelets, short-time Fourier analysis, and geometrically-based transforms. The computer program MATLAB is emphasized throughout, and an introduction to MATLAB is provided in an appendix. Rich in examples, illustrations, and exercises of varying difficulty, this text can be used for a one- or two-semester course and is ideal for students in pure and applied mathematics, physics, and engineering.

2000-02-04

This most recent edition, for the first time, now includes extensive corrections collated and collected by the author.

Author: James P. Keener

Publisher: Westview Press

ISBN: 0738201294

Category: Science

Page: 624

View: 434

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Principles of Applied Mathematics provides a comprehensive look at how classical methods are used in many fields and contexts. Updated to reflect developments of the last twenty years, it shows how two areas of classical applied mathematics—spectral theory of operators and asymptotic analysis—are useful for solving a wide range of applied science problems. Topics such as asymptotic expansions, inverse scattering theory, and perturbation methods are combined in a unified way with classical theory of linear operators. Several new topics, including wavelength analysis, multigrid methods, and homogenization theory, are blended into this mix to amplify this theme.This book is ideal as a survey course for graduate students in applied mathematics and theoretically oriented engineering and science students. This most recent edition, for the first time, now includes extensive corrections collated and collected by the author.

2014-05-10

The text then examines stochastic processes in heat and mass transport, including mass transport, velocity field, temperature transport, and coupling of mass and heat transport.

Author: A. T. Bharucha-Reid

Publisher: Elsevier

ISBN: 9781483276120

Category: Mathematics

Page: 358

View: 890

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Probabilistic Methods in Applied Mathematics, Volume 3 focuses on the influence of the probability theory on the formulation of mathematical models and development of theories in many applied fields. The selection first offers information on statistically well-set Cauchy problems and wave propagation in random anisotropic media. Discussions focus on extension to biaxial anisotropic random media; an effective medium description for a random uniaxial anisotropic medium and the resulting dyadic Green's function; evolution of the spectral matrix measure; and well-set Cauchy problems. The text then examines stochastic processes in heat and mass transport, including mass transport, velocity field, temperature transport, and coupling of mass and heat transport. The manuscript takes a look at the potential theory for Markov chains and stochastic differential games. Topics include formal solutions for some classes of stochastic linear pursuit-evasion games; solution of a stochastic linear pursuit-evasion game with nonrandom controls; problems of potential theory; and hitting distributions. The selection is a vital source of data for mathematicians and researchers interested in the probability theory.

1965

Author: Francis B. Hildebrand

Publisher:

ISBN: LCCN:65012409

Category: Mathematics

Page: 362

View: 769

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2019-06-03

Approximation theory-on the borderline between pure and applied mathematics- has always supplied some of the most innovative ideas, computational methods, and original approaches to many types of problems. The f

Author: George Anastassiou

Publisher: CRC Press

ISBN: 142003605X

Category: Mathematics

Page: 1048

View: 217

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Working computationally in applied mathematics is the very essence of dealing with real-world problems in science and engineering. Approximation theory-on the borderline between pure and applied mathematics- has always supplied some of the most innovative ideas, computational methods, and original approaches to many types of problems. The f

1980-01-01

Author: N. M. Queen

Publisher:

ISBN: 0177711213

Category: Mathematics

Page: 231

View: 644

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2006

Author:

Publisher:

ISBN: CORNELL:31924099696902

Category: Engineering mathematics

Page:

View: 546

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1952

Author: Francis Begnaud Hildebrand

Publisher:

ISBN: OCLC:1025394920

Category:

Page: 523

View: 869

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1970

Author: Albert T. Bharucha-Reid

Publisher:

ISBN: MINN:31951D00117877C

Category: Probabilities

Page:

View: 916

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1968

Author: Julian D. Cole

Publisher:

ISBN: 1475742142

Category: Perturbation (Mathematics)

Page: 574

View: 152

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2012-10-30

Readers who do research in applied mathematics, engineering, geophysics, biomedicine, image processing, remote sensing, and environmental science will benefit from the contents since the book incorporates a background of using statistical ...

Author: Yanfei Wang

Publisher: Walter de Gruyter

ISBN: 9783110259056

Category: Mathematics

Page: 550

View: 566

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This monograph reports recent advances of inversion theory and recent developments with practical applications in frontiers of sciences, especially inverse design and novel computational methods for inverse problems. Readers who do research in applied mathematics, engineering, geophysics, biomedicine, image processing, remote sensing, and environmental science will benefit from the contents since the book incorporates a background of using statistical and non-statistical methods, e.g., regularization and optimization techniques for solving practical inverse problems.

2011-10-24

This new edition features the latest tools for modeling, characterizing, and solving partial differential equations The Third Edition of this classic text offers a comprehensive guide to modeling, characterizing, and solving partial ...

Author: Erich Zauderer

Publisher: John Wiley & Sons

ISBN: 9781118031407

Category: Mathematics

Page: 968

View: 560

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This new edition features the latest tools for modeling, characterizing, and solving partial differential equations The Third Edition of this classic text offers a comprehensive guide to modeling, characterizing, and solving partial differential equations (PDEs). The author provides all the theory and tools necessary to solve problems via exact, approximate, and numerical methods. The Third Edition retains all the hallmarks of its previous editions, including an emphasis on practical applications, clear writing style and logical organization, and extensive use of real-world examples. Among the new and revised material, the book features: * A new section at the end of each original chapter, exhibiting the use of specially constructed Maple procedures that solve PDEs via many of the methods presented in the chapters. The results can be evaluated numerically or displayed graphically. * Two new chapters that present finite difference and finite element methods for the solution of PDEs. Newly constructed Maple procedures are provided and used to carry out each of these methods. All the numerical results can be displayed graphically. * A related FTP site that includes all the Maple code used in the text. * New exercises in each chapter, and answers to many of the exercises are provided via the FTP site. A supplementary Instructor's Solutions Manual is available. The book begins with a demonstration of how the three basic types of equations-parabolic, hyperbolic, and elliptic-can be derived from random walk models. It then covers an exceptionally broad range of topics, including questions of stability, analysis of singularities, transform methods, Green's functions, and perturbation and asymptotic treatments. Approximation methods for simplifying complicated problems and solutions are described, and linear and nonlinear problems not easily solved by standard methods are examined in depth. Examples from the fields of engineering and physical sciences are used liberally throughout the text to help illustrate how theory and techniques are applied to actual problems. With its extensive use of examples and exercises, this text is recommended for advanced undergraduates and graduate students in engineering, science, and applied mathematics, as well as professionals in any of these fields. It is possible to use the text, as in the past, without use of the new Maple material.

1978

Author: Carl M. Bender

Publisher: McGraw-Hill College

ISBN: UOM:39015040326319

Category: Mathematics

Page: 593

View: 708

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1941

Author: Richard Courant

Publisher:

ISBN: UOM:39015000995798

Category: Engineering

Page: 318

View: 952

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2010-06-14

This volume will be useful to researchers and graduate students interested in probabilistic methods, dynamical systems approaches and numerical analysis for mathematical modeling in the sciences and engineering.

Author: Edward C. Waymire

Publisher: Springer Science & Business Media

ISBN: 9780387293714

Category: Mathematics

Page: 272

View: 218

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"Probability and Partial Differential Equations in Modern Applied Mathematics" is devoted to the role of probabilistic methods in modern applied mathematics from the perspectives of both a tool for analysis and as a tool in modeling. There is a recognition in the applied mathematics research community that stochastic methods are playing an increasingly prominent role in the formulation and analysis of diverse problems of contemporary interest in the sciences and engineering. A probabilistic representation of solutions to partial differential equations that arise as deterministic models allows one to exploit the power of stochastic calculus and probabilistic limit theory in the analysis of deterministic problems, as well as to offer new perspectives on the phenomena for modeling purposes. There is also a growing appreciation of the role for the inclusion of stochastic effects in the modeling of complex systems. This has led to interesting new mathematical problems at the interface of probability, dynamical systems, numerical analysis, and partial differential equations. This volume will be useful to researchers and graduate students interested in probabilistic methods, dynamical systems approaches and numerical analysis for mathematical modeling in the sciences and engineering.

2001-06-21

This well-written book contains the analytical tools, concepts, and viewpoints needed for modern applied mathematics.

Author: Ward Cheney

Publisher: Springer Science & Business Media

ISBN: 0387952799

Category: Mathematics

Page: 448

View: 607

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This well-written book contains the analytical tools, concepts, and viewpoints needed for modern applied mathematics. It treats various practical methods for solving problems such as differential equations, boundary value problems, and integral equations. Pragmatic approaches to difficult equations are presented, including the Galerkin method, the method of iteration, Newton's method, projection techniques, and homotopy methods.

1949

Author: Horatio Scott Carslaw

Publisher:

ISBN: UOM:39015000491137

Category: Calculus, Operational

Page: 359

View: 593

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1968

Author: Julian D. Cole

Publisher:

ISBN: UOM:39015001316846

Category: Perturbation (Mathematics).

Page: 260

View: 197

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1986-01-01

This book progresses steadily through a range of topics from symmetric linear systems to differential equations to least squares and Kalman filtering and optimization.

Author: Gilbert Strang

Publisher: Wellesley-Cambridge Press

ISBN: 0961408804

Category: Mathematics

Page: 760

View: 534

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Renowned applied mathematician Gilbert Strang teaches applied mathematics with the clear explanations, examples and insights of an experienced teacher. This book progresses steadily through a range of topics from symmetric linear systems to differential equations to least squares and Kalman filtering and optimization. It clearly demonstrates the power of matrix algebra in engineering problem solving. This is an ideal book (beloved by many readers) for a first course on applied mathematics and a reference for more advanced applied mathematicians. The only prerequisite is a basic course in linear algebra.