Methods of Applied Mathematics / Edition 2

Paperback (Print)
Used and New from Other Sellers
Used and New from Other Sellers
from $1.99
Usually ships in 1-2 business days
(Save 88%)
Other sellers (Paperback)
  • All (12) from $1.99   
  • New (7) from $8.86   
  • Used (5) from $1.99   


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.

Read More Show Less

Product Details

  • ISBN-13: 9780486670027
  • Publisher: Dover Publications
  • Publication date: 3/27/1992
  • Series: Dover Books on Mathematics Series
  • Edition description: 2nd ed
  • Edition number: 2
  • Pages: 362
  • Sales rank: 1,215,988
  • Product dimensions: 5.42 (w) x 8.62 (h) x 0.76 (d)

Table of Contents

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
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
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
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
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Terms of Use.
  • - Barnes & reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)