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Méthodes de mathématiques appliquées (livres de Douvres sur les mathématiques) par Hildebrand, Fran
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Lieu où se trouve l'objet : Columbia, Missouri, États-Unis
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Numéro de l'objet eBay :204516036817
Dernière mise à jour le 25 juil. 2025 08:11:14 CEST. Afficher toutes les modificationsAfficher toutes les modifications
Caractéristiques de l'objet
- État
- Book Title
- Methods of Applied Mathematics (Dover Books on Mathematics)
- ISBN
- 9780486670027
À propos de ce produit
Product Identifiers
Publisher
Dover Publications, Incorporated
ISBN-10
0486670023
ISBN-13
9780486670027
eBay Product ID (ePID)
525613
Product Key Features
Number of Pages
362 Pages
Publication Name
Methods of Applied Mathematics
Language
English
Subject
General, Physics / Mathematical & Computational, Applied
Publication Year
1992
Type
Textbook
Subject Area
Mathematics, Science
Series
Dover Books on Mathematics Ser.
Format
Trade Paperback
Dimensions
Item Height
0.7 in
Item Weight
14.4 Oz
Item Length
8.5 in
Item Width
5.4 in
Additional Product Features
Edition Number
2
Intended Audience
College Audience
LCCN
92-000064
Dewey Edition
20
Illustrated
Yes
Dewey Decimal
510
Table Of Content
CHAPTER 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 Description
Reprint,New Edition
Synopsis
This 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 Number
QA37.2.H5
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One Planet Books
99,3% d'évaluations positives•239 000 objets vendus
Inscrit comme vendeur professionnel
Évaluations du vendeur (44.182)
- i***i (414)- Évaluations laissées par l'acheteur.Dernier moisAchat vérifiéThe book arrived in reasonable time and the quality packaging ensured that it came into my hands in excellent condition. The price I paid was very fair and reasonable for such a quality text. I would happily buy a book from this store again.
- s***7 (254)- Évaluations laissées par l'acheteur.Dernier moisAchat vérifiéI am looking forward to reading this. The book is in very good condition, the price was great, and the shipping was quick. A+ seller!
- s***a (461)- Évaluations laissées par l'acheteur.Dernier moisAchat vérifiéGreat transaction