Multivariable Mathematics

Multivariable Mathematics

Book - 1996
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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.

Book News
A textbook for a course in basic calculus, vector calculus, or differential equations, depending on what material is used and in what order. Covers the algebra and geometry of vectors and matrices, multivariable and vector calculus, and differential equations including systems. Emphasizes basic problem solving in pure and applied contexts; and encourages geometric thinking in two, three, and arbitrary dimensions. Assumes a previous first course in one-variable calculus. Annotation c. by Book News, Inc., Portland, Or.

Publisher: Upper Saddle River, N.J. : Prentice Hall, c1996
Edition: 3rd ed
ISBN: 9780131816459
Characteristics: xv, 732 p. : ill. ; 25 cm
Additional Contributors: Trotter, Hale F.


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