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Dover Books on Mathematics Ser.: Worked Problems in Applied Mathematics by Frances A. Davis, I. P. Skalskaya, Y. S. Uflyand and N. N. Lebedev (2010, Trade Paperback)

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"Worked Problems in Applied Mathematics" is a textbook from the Dover Books on Mathematics Series, published by Dover Publications, Incorporated in 2010. Written by authors Frances A. Davis, I.P. Skalskaya, Y.S. Uflyand, and N.N. Lebedev, this new edition book covers study and teaching in the subject area of applied mathematics. The trade paperback format includes 448 pages of worked problems in English language, making it a valuable resource for students and educators in the field of mathematics.

About this product

Product Identifiers

PublisherDover Publications, Incorporated

ISBN-100486637301

ISBN-139780486637303

eBay Product ID (ePID)592764

Product Key Features

Number of Pages448 Pages

Publication NameWorked Problems in Applied Mathematics

LanguageEnglish

SubjectStudy & Teaching, Applied

Publication Year2010

FeaturesNew Edition

TypeTextbook

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

Subject AreaMathematics

SeriesDover Books on Mathematics Ser.

FormatTrade Paperback

Dimensions

Item Height0.8 in

Item Weight17.6 Oz

Item Length8.2 in

Item Width5.6 in

Additional Product Features

Intended AudienceCollege Audience

LCCN78-067857

Dewey Edition18

IllustratedYes

Dewey Decimal530.1/5/076

Edition DescriptionNew Edition

Table Of ContentPart 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

SynopsisUnparalleled 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 NumberQC20.82.L4