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Dover Books on Mathematics Ser.: Methods of Applied Mathematics by Francis B. Hildebrand (1992, Trade Paperback)

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METHODS OF APPLIED MATHEMATICS (DOVER BOOKS ON MATHEMATICS) By Francis B. Hildebrand **BRAND NEW**.

About this product

Product Identifiers

PublisherDover Publications, Incorporated

ISBN-100486670023

ISBN-139780486670027

eBay Product ID (ePID)525613

Product Key Features

Number of Pages362 Pages

Publication NameMethods of Applied Mathematics

LanguageEnglish

SubjectGeneral, Physics / Mathematical & Computational, Applied

Publication Year1992

TypeTextbook

AuthorFrancis B. Hildebrand

Subject AreaMathematics, Science

SeriesDover Books on Mathematics Ser.

FormatTrade Paperback

Dimensions

Item Height0.7 in

Item Weight14.4 Oz

Item Length8.5 in

Item Width5.4 in

Additional Product Features

Edition Number2

Intended AudienceCollege Audience

LCCN92-000064

Dewey Edition20

IllustratedYes

Dewey Decimal510

Table Of ContentCHAPTER ONE Matrices and Linear Equations 1.1. Introduction 1.2. Linear equations. The Gauss-Jordan reduction 1.3. Matrices 1.4. Determinants. Cramer's rule 1.5. Special matrices 1.6. The inverse matrix 1.7. Rank of a matrix 1.8. Elementary operations 1.9. Solvability of sets of linear equations 1.10. Linear vector space 1.11. Linear equations and vector space 1.12. Characteristic-value problems 1.13. Orthogonalization of vector sets 1.14. Quadratic forms 1.15. A numerical example 1.16. Equivalent matrices and transformations 1.17. Hermitian matrices 1.18. Multiple characteristic numbers of symmetric matrices 1.19. Definite forms 1.20. Discriminants and invariants 1.21. Coordinate transformations 1.22. Functions of symmetric matrices 1.23. Numerical solution of characteristic-value problems 1.24. Additional techniques 1.25. Generalized characteristic-value problems 1.26. Characteristic numbers of nonsymmetric matrices 1.27. A physical application 1.28. Function space 1.29. Sturm-Liouville problems References Problems CHAPTER TWO Calculus of Variations and Applications 2.1. Maxima and minima 2.2. The simplest case 2.3. Illustrative examples 2.4. Natural boundary conditions and transition conditions 2.5. The variational notation 2.6. The more general case 2.7. Constraints and Lagrange multipliers 2.8. Variable end points 2.9. Sturm-Liouville problems 2.10. Hamilton's principle 2.11. Lagrange's equations 2.12. Generalized dynamical entities 2.13. Constraints in dynamical systems 2.14. Small vibrations about equilibrium. Normal coordinates 2.15. Numerical example 2.16. Variational problems for deformable bodies 2.17. Useful transformations 2.18. The variational problem for the elastic plate 2.19. The Rayleigh-Ritz method 2.20 A semidirect method References Problems CHAPTER THREE Integral Equations 3.1. Introduction 3.2. Relations between differential and integral equations 3.3. The Green's function 3.4. Alternative definition of the Green's function 3.5. Linear equations in cause and effect. The influence function 3.6. Fredholm equations with separable kernels 3.7. Illustrative example 3.8. Hilbert-Schmidt theory 3.9. Iterative methods for solving equations of the second kind 3.10. The Neumann series 3.11. Fredholm theory 3.12. Singular integral equations 3.13. Special devices 3.14. Iterative approximations to characteristic functions 3.15. Approximation of Fredholm equations by sets of algebraic equations 3.16. Approximate methods of undetermined coefficients 3.17. The method of collocation 3.18. The method of weighting functions 3.19. The method of least squares 3.20. Approximation of the kernel References Problems APPENDIX The Crout Method for Solving Sets of Linear Algebraic Equations A. The procedure B. A numerical example C. Application to tridiagonal system Answers to Problems Index

Edition DescriptionReprint,New Edition

SynopsisThis invaluable 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 in many different fields. It deals principally with linear algebraic equations, quadratic and Hermitian forms, operations with vectors and matrices, the calculus of variations, and the formulations and theory of linear integral equations. Annotated problems and exercises accompany each chapter., Offering a number of mathematical facts and techniques not commonly treated in courses in advanced calculus, this book explores linear algebraic equations, quadratic and Hermitian forms, the calculus of variations, more., 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.

LC Classification NumberQA37.2.H5