Advanced Engineering Mathematics
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Erwin Kreyszig’s Advanced Engineering Mathematics, 9th Edition introduces engineers and computer scientists to advanced math topics as they relate to practical problems. In today’s world of increasingly complex engineering problems, powerful new mathematical and computational methods, and enormous computer capacities, you can get overwhelmed by little things you will only occasionally use. Instead, you need to learn how to think mathematically and gain a firm grasp of the interrelationship among theory, computing, and experiment. That’s why Kreyszig’s text helps you develop a solid understanding of the basic principles and methods of advanced engineering mathematics in all three phases of problem solving: Modeling, Solving, and Interpreting. This best-selling text is known for its comprehensive coverage, careful and correct mathematics, outstanding exercises, and self-contained chapters. Key FeaturesNew problem sets.New Computer Experiments, using the computer as an instrument of “experimental mathematics” for exploration and research.More on modeling and selection methods.Accurate and solid theoretical foundation.Clear examples and exposition of material.Modern and standard notations.
Ch. 1First-order ODEs2Ch. 2Second-order linear ODEs45Ch. 3Higher order linear ODEs105Ch. 4Systems of ODEs : phase plane : qualitative methods124Ch. 5Series solutions of ODEs : special functions166Ch. 6Laplace transforms220Ch. 7Linear algebra : matrices, vectors, determinants : linear systems272Ch. 8Linear algebra : matrix eigenvalue problems333Ch. 9Vector differential calculus : grad, div, curl364Ch. 10Vector integral calculus : integral theorems420Ch. 11Fourier series, integrals, and transforms478Ch. 12Partial differential equations (PDEs)535Ch. 13Complex numbers and functions602Ch. 14Complex integration637Ch. 15Power series, Taylor series664Ch. 16Laurent series : residue integration701Ch. 17Conformal mapping728Ch. 18Complex analysis and potential theory749Ch. 19Numerics in general780Ch. 20Numeric linear algebra833Ch. 21Numerics for ODEs and PDEs886Ch. 22Unconstrained optimization : linear programming936Ch. 23Graphs : combinatorial optimization954Ch. 24Data analysis : probability theory993Ch. 25Mathematical statistics1044
