Advanced Engineering Mathematics / Edition 2

by Michael Greenberg

Overview

This clear, pedagogically rich book develops a strong understanding of the mathematical principles and practices that today's engineers need to know. KEY TOPICS: Equally as effective as either a textbook or reference manual, it approaches mathematical concepts from an engineering perspective, making physical applications more vivid and substantial. Its comprehensive instructional framework supports a conversational, down-to-earth narrative style, offering easy accessibility and frequent opportunities for application and reinforcement.

Product Details

ISBN-13:	9780133214314
Publisher:	Pearson Education
Publication date:	01/08/1998
Edition description:	REV
Pages:	1344
Product dimensions:	8.30(w) x 10.10(h) x 2.10(d)

Table of Contents

I. ORDINARY DIFFERENTIAL EQUATIONS.

1. Introduction to Differential Equations.

2. Equations of First Order.

3. Linear Differential Equations of Second Order and Higher.

4. Power Series Solutions.

5. Laplace Transform.

6. Quantitative Methods: Numerical Solution of Differential Equations.

7. Qualitative Methods: Phase Plane and Nonlinear Differential Equations.

II. LINEAR ALGEBRA.

8. Systems of Linear Algebraic Equations; Gauss Elimination.

9. Vector Space.

10. Matrices and Linear Equations.

11. The Eigenvalue Problem.

12. Extension to Complex Case (Optional).

III. SCALAR and VECTOR FIELD THEORY.

13. Differential Calculus of Functions of Several Variables.

14. Vectors in 3-Space.

15.Curves, Surfaces, and Volumes.

16. Scalar and Vector Field Theory.

IV. FOURIER SERIES AND PARTIAL DIFFERENTIAL EQUATIONS.

17. Fourier Series, Fourier Integral, Fourier Transform.

18. Diffusion Equation.

19. Wave Equation.

20. Laplace Equation.

V. COMPLEX VARIABLE THEORY.

21. Functions of a Complex Variable.

22. Conformal Mapping.

23. The Complex Integral Calculus.

24. Taylor Series, Laurent Series, and the Residue Theorem.

Appendix A: Review of Partial Fraction Expansions.

Appendix B: Existence and Uniqueness of Solutions of Systems of Linear Algebraic Equations.

Appendix C: Table of Laplace Transforms.

Appendix D: Table of Fourier Transforms.

Appendix E: Table of Fourier Cosine and Sine Transforms.

Appendix F: Table of Conformal Maps.

Editorial Reviews

In updating the 1988 text, Greenberg (mechanical engineering, U. of Delaware, Newark) has incorporated a computer algebra system (namely, Maple, with an instructor's manual and student supplement available). No longer assuming that science and engineering students have completed a course in ordinary differential equations, he covers such in the first part. The other sections span: linear algebra, multivariate calculus and field theory, Fourier methods and partial differential equations, and complex variable theory. Contains chapter reviews, exercises, selected formulas, and tables. Annotation c. by Book News, Inc., Portland, Or.

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