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Advanced Engineering Mathematics / Edition 5

Advanced Engineering Mathematics / Edition 5

by Peter V. O'Neil


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The computer plays a prominent role throughout the text in generating computer graphics used to display such concepts as direction fields, phase portraits, surfaces and vector fields, convergence of Fourier series, the Gibbs phenomenon, and filtering noise from signals.

Product Details

ISBN-13: 9780534400774
Publisher: CL-Engineering
Publication date: 07/09/2002
Edition description: Older Edition
Pages: 1344
Product dimensions: 8.30(w) x 10.10(h) x 2.00(d)

About the Author

Dr. Peter O'Neil has been a professor of mathematics at the University of Alabama at Birmingham since 1978. At the University of Alabama at Birmingham, he has served as chairman of mathematics, dean of natural sciences and mathematics, and university provost. Dr. Peter O'Neil has also served on the faculty at the University of Minnesota and the College of William and Mary in Virginia, where he was chairman of mathematics. He has been awarded the Lester R. Ford Award from the Mathematical Association of America. He received both his M.S and Ph.D. in mathematics from Rensselaer Polytechnic Institute. His primary research interests are in graph theory and combinatorial analysis.

Table of Contents

PART I: ORDINARY DIFFERENTIAL EQUATIONS. 1. First Order Differential Equations. 2. Second Order Differential Equations. 3. The Laplace Transform. 4. Series Solutions. 5. Numerical Approximation of Solutions. 6. Sturm-Liouville Theory, Eigenfunction Expansions, and Special Functions. PART II: VECTORS AND LINEAR ALGEBRA. 7. Vectors and Vector Spaces. 8. Matrices, Determinants, and Systems of Linear Equations. 9. Eigenvalues and Diagonalization. PART III: SYSTEMS OF DIFFERENTIAL EQUATIONS AND QUALITATIVE METHODS. 10. Systems of Linear Differential Equations. 11. Nonlinear Differential Equations and Qualitative Methods. PART IV: VECTOR ANALYSIS. 12. Vector Differential Calculus. 13. Vector Integral Calculus. PART V: FOURIER ANALYSIS AND BOUNDARY VALUE PROBLEMS. 14. Fourier Series and Integrals. 15. Fourier Transforms. 16. Partial Differential Equations and Boundary Value Problems. PART VI: COMPLEX ANALYSIS. 17. Complex Numbers and Complex Functions. 18. Complex Integration. 19. Conformal Mappings and Some Applications. PART VII: HISTORICAL NOTES. Notation / Guide to Major Results / Answers and Solutions to Selected Odd-Numbered Problems / Index.

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