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WORKED PROBLEMS IN APPLIED MATHEMATICS by Nikolai Nikolaevich Lebedev Brand NEW

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Item specifics

Condition: Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab

ISBN: 9780486637303

Subject Area: Mathematics

Publication Name: Worked Problems in Applied Mathematics

Publisher: Dover Publications, Incorporated

Item Length: 8.2 in

Subject: Study & Teaching, Applied

Publication Year: 2010

Series: Dover Books on Mathematics Ser.

Type: Textbook

Format: Trade Paperback

Language: English

Item Height: 0.8 in

Author: Frances A. Davis, I. P. Skalskaya, Y. S. Uflyand, N. N. Lebedev

Features: New Edition

Item Weight: 17.6 Oz

Item Width: 5.6 in

Number of Pages: 448 Pages

About this product

Product Identifiers

Publisher

Dover Publications, Incorporated

ISBN-10

0486637301

ISBN-13

9780486637303

eBay Product ID (ePID)

592764

Product Key Features

Number of Pages

448 Pages

Language

English

Publication Name

Worked Problems in Applied Mathematics

Publication Year

2010

Subject

Study & Teaching, Applied

Features

New Edition

Type

Textbook

Subject Area

Mathematics

Author

Frances A. Davis, I. P. Skalskaya, Y. S. Uflyand, N. N. Lebedev

Series

Dover Books on Mathematics Ser.

Format

Trade Paperback

Dimensions

Item Height

0.8 in

Item Weight

17.6 Oz

Item Length

8.2 in

Item Width

5.6 in

Additional Product Features

Intended Audience

College Audience

LCCN

78-067857

Dewey Edition

Illustrated

Yes

Dewey Decimal

530.1/5/076

Table Of Content

Part 1 PROBLEMS 1 DERIVATION OF EQUATIONS AND FORMULATION OF PROBLEMS 1. Mechanics 2. Heat Conduction 3. Electricity and Magnetism 2 SOME SPECIAL METHODS FOR SOLVING HYPERBOLIC AND ELLIPTIC EQUATIONS 1. Hyperbolic Functions 2. Elliptic Equations: The Green's Function Method 3. Elliptic Equations: The Method of Conformal Mapping 3 STEADY-STATE HARMONIC OSCILLATIONS 1. Elastic Bodies: Free Oscillations 2. Elastic Bodies: Forced Oscillations 3. Electromagnetic Oscillations 4 THE FOURIER METHOD 1. "Mechanics: Vibrating Systems, Acoustics" 2. "Mechanics: Statics of Deformable Media, Fluid Dynamics" 3. Heat Conduction: Nonstationary Problems 4. Heat Conduction: Stationary Problems 5. Electricity and Magnetism 5 THE EIGENFUNCTION METHOD FOR SOLVING INHOMOGENEOUS PROBLEMS 1. Mechanics: Vibrating Systems 2. Mechanics: Statics of Deformable Media 3. Heat Conduction: Nonstationary Problems 4. Heat Conduction: Stationary Problems 5. Electricity and Magnetism 6. INTEGRAL TRANSFORMS 1. The Fourier Transform 2. The Hankel Transform 3. The Laplace Transform 4. The Mellin Transform 5. Integral Transforms Involving Cylinder Functions of Imaginary Order 7. CURVILINEAR COORDINATES 1. Elliptic Coordinates 2. Parabolic Coordinates 3. Two-Dimensional Bipolar Coordinates 4. Spheroidal Coordinates 5. Paraboloidal Coordinates 6. Toroidal Coordinates 7. Three-Dimensional Bipolar Coordinates 8. Some General Problems on Separation of Variables 8. INTEGRAL EQUATIONS 1. Diffraction Theory 2. Electrostatics PART 2 SOLUTIONS MATHEMATICAL APPENDIX 1. Special Functions Appearing in the Text 2. Expansions in Series of Orthogonal Functions 3. Some Definite Integrals Frequently Encountered in the Applications 4. Expansion of Some Differential Operators in Orthogonal Curvilinear Coordinates Supplement. VARIATIONAL AND RELATED METHODS 1. Variational Methods 1.1 Formulation of Variational Problems 1.2 The Ritz Method 1.3 Kantorovich's Method 2. Related Methods 2.1 Galerkin's Method 2.2 Collocation 2.3 Least Squares 3. References BIBLIOGRAPHY NAME INDEX SUBJECT INDEX

Edition Description

New Edition

Synopsis

Unparalleled collection of 566 problems and answers, impossible to find in any other single source. Supplement, with 51 additional problems, by Edward L. Reiss. Translated by Richard Silverman. 159 figures., These 566 problems plus answers cover a wide range of topics in an accessible manner, including steady-state harmonic oscillations, Fourier method, integral transforms, curvilinear coordinates, integral equations, and more. 1965 edition., This book is an unparalleled collection of worked problem material in applied mathematics consisting of 566 problems and answers impossible to find in any other single source. Covering a wide range of topics in a particularly accessible manner, the problems apply many different mathematical methods to questions drawn from mechanics, the theory of heat conduction, and the theory of electric and magnetic phenomena. The first five chapters are suitable for anyone with a minimal background in applied mathematics. Topics covered are the derivation of equations and formulation of problems, some special methods for solving hyperbolic and elliptic equations, steady state harmonic oscillations, the Fourier method, and the eigenfunction method for solving inhomogeneous problems. The remaining three chapters are suitable for students with a more advanced background. These more complicated problems deal with integral transforms, curvilinear coordinates, and integral equations. Certain problems indicated throughout the text are solved in detail in a solutions section at the end of the text chapters. Included are a mathematical appendix and a supplement by Prof. E. L. Reiss titled "Variational and Related Methods," containing 51 additional problems, most with solutions. A particularly complete and valuable bibliography is also included. This volume is another in the popular series of fine translations from the Russian by Richard A. Silverman, formerly of the Courant Institute of Mathematical Sciences of New York University. Students of applied mathematics and scientists whose researches require its use will find this book invaluable. Teachers will find it an exceptional sourcebook of problems. "I judge this to be a useful . . . book, and one well worth reprinting. It collects a considerable amount of material that would otherwise be available only from rather scattered sources." -- Jack Schwartz, Courant Institute of Mathematical Sciences, N.Y.U., An unparalleled collection, this volume features 566 problems plus answers. They cover a wide range of topics in an accessible manner, including steady-state harmonic oscillations, the Fourier method, and the eigenfunction method for solving inhomogeneous problems. More advanced problems deal with integral transforms, curvilinear coordinates, and integral equations. 1965 edition.

LC Classification Number

QC20.82.L4