Synopsis
Intended for students in engineering, science and applied maths, this book includes chapters on ordinary differential equations, first-order differential equations, the Laplace transform, Sturm-Liouville theory, Eigenfunction expansions and special functions.
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Review
Part I - Ordinary Differential Equations Chapter 1 - First Order Differential Equations Chapter 2 - Linear Second Order Differential Equations Chapter 3 - The Laplace Transform Chapter 4 - Series Solutions Chapter 5 - Numerical Approximation of Solutions Part II - Vectors and Linear Algebra Chapter 6 - Vectors and Vector Spaces Chapter 7 - Matrices and Systems of Linear Equations Chapter 8 - Determinants Chapter 9 - Eigenvalues, Diagonalization and Special Matrices Part III - Systems of Differential Equations and Qualitative Methods Chapter 10 - Systems of Linear Differential Equations Chapter 11 - Qualitative Methods and Systems of Nonlinear Differential Equations Part IV - Vector Analysis Chapter 12 - Vector Differential Calculus Chapter 13 - Vector Integral Calculus Part V - Fourier Analysis, Orthogonal Expansions and Wavelets Chapter 14 - Fourier Series Chapter 15 - The Fourier Integral and Fourier Transforms Chapter 16 - Special Functions, Orthogonal Expansions and Wavelets Part VI - Partial Differential Equations Chapter 17 - The Wave Equation Chapter 18 - The Heat Equation Chapter 19 - The Potential Equation Part VII - Complex Analysis Chapter 20 - Geometry and Arithmetic of Complex Numbers Chapter 21 - Complex Functions Chapter 22 - Complex Integration Chapter 23 - Series Representations of Functions Chapter 24 - Singularities and the Residue Theorem Chapter 25 - Conformal Mappings Part VIII - Probability and Statistics Chapter 26 - Counting and Probability Chapter 27 - Statistics
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.
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Advanced Engineering Mathematics
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CL Engineering June 1997, 1997
ISBN 10: 0534943209
ISBN 13: 9780534943202
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