Advanced Engineering Mathematics – Dennis G. Zill – 2nd Edition


Thoroughly updated, Zill’s Advanced Mathematics, Second Edition is a compendium of many mathematical topics for students planning a career in engineering or the sciences. A key of this text is Zill’s emphasis on as mathematical models, discussing the constructs and pitfalls of each.

The Complete Instructor’s Solutions includes all solutions to the exercises found in the text. PowerPoint Lecture Slides and additional instructor’s resources are available. This student supplement contains the answers to every third problem in the textbook, allowing students to assess their progress and review key ideas and concepts discussed throughout the text.

o The new larger trim size and 2-color make the text a pleasure to read and learn from.
o Numerous NEW and projects contributed by top mathematicians have been added, and are tied to key mathematical topics in the text.
o Divided into five major parts, the text’s flexibility allows instructors to customize the text to fit their needs. The first eight chapters are ideal for a complete short in ordinary differential equations.
o The Gram-Schmidt orthogonalization process has been added in Chapter 7 and is used in subsequent chapters.
o All figures now have explanatory captions. Supplements

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Table of Contents

Part I: Ordinary Differential Equations

1. Introduction to Differential Equations
2. First-Order Differential Equations
3. Higher-Order Differential Equations
4. The Laplace Transform
5. Series Solutions of Linear Equations
6. Numerical Solutions of Ordinary Differential Equations

Part II: Vectors, Matrices, and Vector Calculus

7. Vectors
8. Matrices
9. Vector Calculus

Part III: Systems of Differential Equations

10. Systems of Linear Differential Equations
11. Systems of Nonlinear Differential Equations

Part IV: Fourier Series and Partial Differential Equations

12. Orthogonal Functions and Fourier Series
13. Boundary-Value Problems in Rectangular Coordinates
14. Boundary-Value Problems in Other Coordinate Systems
15. Integral Transform Model
16. Numerical Solutions to Partial Differential Equations

Part V: Complex Analysis

17. Functions of a Complex Variable
18. Integration in the Complex Plane
19. Series and Residues
20. Conformal Mappings and Applications

Appendix I Some Derivative and Integral Formulas
Appendix II Gamma Function; Exercises
Appendix III Table of Laplace Transforms
Appendix IV Conformal Mappings
Appendix V Some BASIC Programs for Numerical Methods
Appendix VI Selected Answers for Odd-Numbered Problems

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