
Multivariable Mathematics, 3/e
Richard E. Williamson, Dartmouth College
Hale F. Trotter, Princeton University
Published November, 1995 by Prentice Hall Engineering/Science/Mathematics
Copyright 1996, 680 pp.
Cloth
ISBN 0131816454

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Vector CalculusMathematics
Multivariable CalculusMathematics

This text explores the standard problemsolving techniques of multivariable
mathematics — integrating vector algebra ideas with multivariable
calculus and differential equations.
offers flexibility in coverage — topics can be
covered in a variety of orders, and subsections (which are presented
in order of decreasing importance) can be omitted if desired.
provides proofs and includes the definitions and statements
of theorems to show how the subject matter can be organized around
a few central ideas.
NEW—includes new sections on:
 flow lines and flows.
 centroids and moments.
 arclength and curvature.
 improper integrals.
 quadratic surfaces.
 numerical methods.
NEW—presents refined method for solving linear
systems using exponential matrices.
NEW—adds a chapter on infinite series —
with application to differential equations.
contains an abundance of applications and worked
examples and discussion problems.
provides many routine, computational exercises illuminating
both theory and practice.
 NEW—provides 50% more problems.
1. Vectors.
2. Dot and Cross Products.
3. Equations and Matrices.
4. Derivatives.
5. Differentiability.
6. Vector Differential Calculus.
7. Multiple Integration.
8. Integrals and Derivatives on Curves.
9. Vector Field Theory.
10. FirstOrder Differential Equations.
11. ConstantCoefficient Equations.
12. Introduction to Systems.
13. Matrix Methods.
14. Infinite Series.
Appendix: Finding Indefinite Integrals.
Integral Table.
Ansaers and Hints.
Index.
