This book explores the standard problem-solving techniques of multivariable mathematics -- integrating vector algebra ideas with multivariable calculus and differential equations. Provides many routine, computational exercises illuminating both theory and practice. 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. Includes new sections on: flow lines and flows; centroids and moments; arc-length and curvature; improper integrals; quadratic surfaces; infinite series--with application to differential equations; and numerical methods. Presents refined method for solving linear systems using exponential matrices.
- ISBN10 0136048358
- ISBN13 9780136048350
- Publish Date 15 February 2008
- Publish Status Active
- Publish Country GB
- Imprint Pearson Education Limited
- Edition 3rd edition
- Format Paperback
- Pages 639
- Language English