Mathematical Analysis of Physical Problems

Author: Philip Russell Wallace

Publisher: Courier Corporation

ISBN: 0486646769

Category: Science

Page: 616

View: 2663

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This mathematical reference for theoretical physics employs common techniques and concepts to link classical and modern physics. It provides the necessary mathematics to solve most of the problems. Topics include the vibrating string, linear vector spaces, the potential equation, problems of diffusion and attenuation, probability and stochastic processes, and much more. 1972 edition.

Mathematical Analysis of Physical Problems

Author: Philip Russell Wallace

Publisher: Courier Corporation

ISBN: 9780486646763

Category: Science

Page: 616

View: 3469

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This mathematical reference for theoretical physics employs common techniques and concepts to link classical and modern physics. It provides the necessary mathematics to solve most of the problems. Topics include the vibrating string, linear vector spaces, the potential equation, problems of diffusion and attenuation, probability and stochastic processes, and much more. 1972 edition.

Mathematical Analysis of Problems in the Natural Sciences

Author: Vladimir Zorich,Gerald G. Gould

Publisher: Springer Science & Business Media

ISBN: 9783642148132

Category: Science

Page: 146

View: 1251

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This book illustrates interactions of pure mathematics with other sciences, such as hydrodynamics, thermodynamics, statistical physics and information theory. It includes problems, historical remarks and Zorich 's article Mathematics as Language and Method.

Mathematical Analysis in Engineering

How to Use the Basic Tools

Author: Chiang C. Mei

Publisher: Cambridge University Press

ISBN: 9780521587983

Category: Mathematics

Page: 461

View: 2005

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A paperback edition of successful and well reviewed 1995 graduate text on applied mathematics for engineers.

Partial Differential Equations of Mathematical Physics

Author: S. L. Sobolev

Publisher: Courier Corporation

ISBN: 9780486659640

Category: Science

Page: 427

View: 7267

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This volume presents an unusually accessible introduction to equations fundamental to the investigation of waves, heat conduction, hydrodynamics, and other physical problems. Topics include derivation of fundamental equations, Riemann method, equation of heat conduction, theory of integral equations, Green's function, and much more. The only prerequisite is a familiarity with elementary analysis. 1964 edition.

MATHEMATICAL METHODS IN THE PHYSICAL SCIENCES, 3RD ED

Author: Boas

Publisher: John Wiley & Sons

ISBN: 9788126508105

Category: Mathematics

Page: 864

View: 2319

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Market_Desc: · Physicists and Engineers· Students in Physics and Engineering Special Features: · Covers everything from Linear Algebra, Calculus, Analysis, Probability and Statistics, to ODE, PDE, Transforms and more· Emphasizes intuition and computational abilities· Expands the material on DE and multiple integrals· Focuses on the applied side, exploring material that is relevant to physics and engineering· Explains each concept in clear, easy-to-understand steps About The Book: The book provides a comprehensive introduction to the areas of mathematical physics. It combines all the essential math concepts into one compact, clearly written reference. This book helps readers gain a solid foundation in the many areas of mathematical methods in order to achieve a basic competence in advanced physics, chemistry, and engineering.

Some Mathematical Methods of Physics

Author: Gerald Goertzel,Nunzio Tralli

Publisher: Courier Corporation

ISBN: 0486780635

Category: Science

Page: 320

View: 9415

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Well-rounded, thorough treatment introduces basic concepts of mathematical physics involved in the study of linear systems, with emphasis on eigenvalues, eigenfunctions, and Green's functions. Topics include discrete and continuous systems and approximation methods. 1960 edition.

The Functions of Mathematical Physics

Author: Harry Hochstadt

Publisher: Courier Corporation

ISBN: 0486168786

Category: Science

Page: 352

View: 2803

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Comprehensive text provides a detailed treatment of orthogonal polynomials, principal properties of the gamma function, hypergeometric functions, Legendre functions, confluent hypergeometric functions, and Hill's equation.

Mathematical Tools for Changing Scale in the Analysis of Physical Systems

Author: William G. Gray,Anton Leijnse,Randall L. Kolar,Cheryl A. Blain

Publisher: CRC Press

ISBN: 9780849389344

Category: Mathematics

Page: 256

View: 2877

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Mathematical Tools for Changing Scale in the Analysis of Physical Systems presents a new systematic approach to changing the spatial scale of the differential equations describing science and engineering problems. It defines vectors, tensors, and differential operators in arbitrary orthogonal coordinate systems without resorting to conceptually difficult Riemmann-Christoffel tensor and contravariant and covariant base vectors. It reveals the usefulness of generalized functions for indicating curvilineal, surficial, or spatial regions of integration and for transforming among these integration regions. These powerful mathematical tools are harnessed to provide 128 theorems in tabular format (most not previously available in the literature) that transform time-derivative and del operators of a function at one scale to the corresponding operators acting on the function at a larger scale. Mathematical Tools for Changing Scale in the Analysis of Physical Systems also provides sample applications of the theorems to obtain continuum balance relations for arbitrary surfaces, multiphase systems, and problems of reduced dimensionality. The mathematical techniques and tabulated theorems ensure the book will be an invaluable analysis tool for practitioners and researchers studying balance equations for systems encountered in the fields of hydraulics, hydrology, porous media physics, structural analysis, chemical transport, heat transfer, and continuum mechanics.

A Collection of Problems on Complex Analysis

Author: Lev Izrailevich Volkovyski?,Grigori? L?vovich Lunt?s?,Isaak Genrikhovich Aramanovich,J. Berry,T. Kovari

Publisher: Courier Corporation

ISBN: 0486669130

Category: Mathematics

Page: 426

View: 8131

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Over 1500 problems on theory of functions of the complex variable; coverage of nearly every branch of classical function theory. Topics include conformal mappings, integrals and power series, Laurent series, parametric integrals, integrals of the Cauchy type, analytic continuation, Riemann surfaces, much more. Answers and solutions at end of text. Bibliographical references. 1965 edition.

Tensor Analysis on Manifolds

Author: Richard L. Bishop,Samuel I. Goldberg

Publisher: Courier Corporation

ISBN: 0486139239

Category: Mathematics

Page: 288

View: 3031

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DIVProceeds from general to special, including chapters on vector analysis on manifolds and integration theory. /div

Analysis for Applied Mathematics

Author: Ward Cheney

Publisher: Springer Science & Business Media

ISBN: 1475735596

Category: Mathematics

Page: 448

View: 522

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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.

The Mathematical Mechanic

Using Physical Reasoning to Solve Problems

Author: Mark Levi

Publisher: Princeton University Press

ISBN: 0691154562

Category: Science

Page: 186

View: 5639

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In this delightful book, Levi turns math and physics upside down, revealing how physics can simplify proofs and lead to quicker solutions and new theorems, and how physical solutions can illustrate why results are true in ways lengthy mathematical calculations never can.

Mathematical Analysis and Its Applications

Proceedings of the International Conference on Mathematical Analysis and its Applications, Kuwait, 1985

Author: S. M. Mazhar,A. Hamoui,N. S. Faour

Publisher: Elsevier

ISBN: 1483148114

Category: Mathematics

Page: 442

View: 747

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Mathematical Analysis and its Applications covers the proceedings of the International Conference on Mathematical Analysis and its Applications. The book presents studies that discuss several mathematical analysis methods and their respective applications. The text presents 38 papers that discuss topics, such as approximation of continuous functions by ultraspherical series and classes of bi-univalent functions. The representation of multipliers of eigen and joint function expansions of nonlocal spectral problems for first- and second-order differential operators is also discussed. The book will be of great interest to researchers and professionals whose work involves the use of mathematical analysis.

Mathematical and Experimental Modeling of Physical and Biological Processes

Author: H.T. Banks,H.T. Tran

Publisher: CRC Press

ISBN: 9781420073386

Category: Mathematics

Page: 298

View: 518

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Through several case study problems from industrial and scientific research laboratory applications, Mathematical and Experimental Modeling of Physical and Biological Processes provides students with a fundamental understanding of how mathematics is applied to problems in science and engineering. For each case study problem, the authors discuss why a model is needed and what goals can be achieved with the model. Exploring what mathematics can reveal about applications, the book focuses on the design of appropriate experiments to validate the development of mathematical models. It guides students through the modeling process, from empirical observations and formalization of properties to model analysis and interpretation of results. The authors also describe the hardware and software tools used to design the experiments so faculty/students can duplicate them. Integrating real-world applications into the traditional mathematics curriculum, this textbook deals with the formulation and analysis of mathematical models in science and engineering. It gives students an appreciation of the use of mathematics and encourages them to further study the applied topics. Real experimental data for projects can be downloaded from CRC Press Online.

Means in Mathematical Analysis

Bivariate Means

Author: Gheorghe Toader,Iulia Costin

Publisher: Academic Press

ISBN: 0128110813

Category: Mathematics

Page: 224

View: 6616

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Means in Mathematical Analysis addresses developments in global analysis, non-linear analysis, and the many problems of associated fields, including dynamical systems, ergodic theory, combinatorics, differential equations, approximation theory, analytic inequalities, functional equations and probability theory. The series comprises highly specialized research monographs written by eminent scientists, handbooks and selected multi-contributor reference works (edited volumes), bringing together an extensive body of information. It deals with the fundamental interplay of nonlinear analysis with other headline domains, particularly geometry and analytic number theory, within the mathematical sciences. Reviews double sequences defined with two arbitrary means, aiding digestion, analysis and prospective research Provides exact solutions on bounds, inequalities and approximations for researchers interrogating means across physical and statistical problems Places the current state of means in mathematical analysis alongside its storied and impressive history

Applied Analysis

Author: Cornelius Lanczos

Publisher: Courier Corporation

ISBN: 0486319261

Category: Mathematics

Page: 576

View: 5574

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Classic work on analysis and design of finite processes for approximating solutions of analytical problems. Features algebraic equations, matrices, harmonic analysis, quadrature methods, and much more.

Ill-posed Problems of Mathematical Physics and Analysis

Author: Mikhail Mikha_lovich Lavrent_ev,Vladimir Gavrilovich Romanov,Serge_ Petrovich Shishatski_

Publisher: American Mathematical Soc.

ISBN: 9780821898147

Category: Mathematics

Page: 290

View: 9789

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Physical formulations leading to ill-posed problems Basic concepts of the theory of ill-posed problems Analytic continuation Boundary value problems for differential equations Volterra equations Integral geometry Multidimensional inverse problems for linear differential equations

A Guided Tour of Mathematical Methods for the Physical Sciences

Author: Roel Snieder,Kasper van Wijk,Matthew M. Haney

Publisher: Cambridge University Press

ISBN: 1107084962

Category: Mathematics

Page: 584

View: 6248

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This completely revised edition provides a tour of the mathematical knowledge and techniques needed by students across the physical sciences. There are new chapters on probability and statistics and on inverse problems. It serves as a stand-alone text or as a source of exercises and examples to complement other textbooks.

Group Theory and Its Application to Physical Problems

Author: Morton Hamermesh

Publisher: Courier Corporation

ISBN: 9780486661810

Category: Science

Page: 509

View: 4987

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"A remarkably intelligible survey . . . well organized, well written and very clear throughout." — Mathematical Reviews This excellent text, long considered one of the best-written, most skillful expositions of group theory and its physical applications, is directed primarily to advanced undergraduate and graduate students in physics, especially quantum physics. No knowledge of group theory is assumed, but the reader is expected to be familiar with quantum mechanics. And while much of the book concerns theory, readers will nevertheless find a large number of physical applications in the fields of crystallography, molecular theory, and atomic and nuclear physics. The first seven chapters of the book are concerned with finite groups, focusing on the central role of the symmetric group. This section concludes with a chapter dealing with the problem of determining group characters, as it discusses Young tableaux, Yamanouchi symbols, and the method of Hund. The remaining five chapters discuss continuous groups, particularly Lie groups, with the final chapter devoted to the ray representation of Lie groups. The author, Professor Emeritus of Physics at the University of Minnesota, has included a generous selection of problems. They are inserted throughout the text at the place where they naturally arise, making the book ideal for self-study as well as for classroom assignment. 77 illustrations. "A very welcome addition to [the] literature. . . . I would warmly recommend the book to all serious students of Group Theory as applied to Physics." — Contemporary Physics. Index. Bibliography. Problems. Tables.