Synopses & Reviews
This practical, highly readable text provides physics and engineering students with the essential mathematical tools for thorough comprehension of their disciplines. Featuring all the necessary topics in applied mathematics in the form of programmed instruction, the text can be understood by advanced undergraduates and beginning graduate students without any assistance from the instructor.
Topics include elementary vector calculus, matrix algebra, and linear vector operations; the many and varied methods of solving linear boundary value problems, including the more common special functions of mathematical physics; the calculus of variations, and variational and perturbation approximations applicable to boundary value problems and nonlinear differential equations; curve fitting and numerical approximation methods; the basic elements of probability and their application to physical problems; and integral equations.
Rather than aiming at a complete mastery of these complicated subjects, the text focuses on the fundamental applied mathematics the student needs to deal with physics and engineering problems. Instructors in those subjects will particularly appreciate this volume's function as a self-contained study resource, allowing them to devote fewer classroom hours to formal lectures in mathematics.
Synopsis
Practical text focuses on fundamental applied math needed to deal with physics and engineering problems: elementary vector calculus, special functions of mathematical physics, calculus of variations, much more. 1968 edition.
Synopsis
Practical text focuses on fundamental applied math needed to deal with physics and engineering problems: elementary vector calculus, special functions of mathematical physics, calculus of variations, much more. 1968 edition.
Synopsis
Practical, readable text focuses on fundamental applied math needed by advanced undergraduates and beginning graduate students to deal with physics and engineering problems. Covers elementary vector calculus, special functions of mathematical physics, calculus of variations, and much more. Excellent self-contained study resource. 1968 edition.
Table of Contents
Introduction
1. Elementary vector calculus; the vector field
2. Matrix algebra and transformations in linear vector spaces; dyadics
3. Introduction to boundary value problems and the special functions of mathematical physics
4. Useful properties of some special functions of mathematical physics
5. Solution of linear homogeneous boundary value problems; separation of variables methods and eigenfunction concepts
6. Elementary applications of the Laplace transform
7. Two-dimensional potential problems and conformal mapping; functions of a complex variable
8. The calculus of residues
9. Integral transforms; the solution of inhomogeneous partial differential equations
10. Inhomogeneous boundary conditions; Green's functions
11. Introduction to integral equations
12. Variation and perturbation methods; introduction to nonlinear differential equations
13. Elements of probability theory
14. Miscellaneous topics: evaluation of integrals, summation of series, curve fitting, transcendental equations
Appendices; Index