O'Neil, Peter V

Advanced engineering mathematics / Peter V. O'Neil - 6th ed. - Toronto : Thomson, c2007 - xix, 1204, 72, 14 p. : ill. (some col.) ; 27 cm.

Includes index

Part 1: Ordinary differntial equations. - Ch. 1: First-order differential equations. - Ch. 2: Second-order differential equations. - Ch. 3: The Laplace transform. - Ch. 4: Series solution. - Ch. 5: Numerical approximation of solutions. - Part 2: Vectors and linear algebra. - Ch. 6: Vectors and vector spaces. - Ch. 7: Matrices and systems of linear equation. - Ch. 8: Determinants. - Ch. 9: Eigenvalues, diagonalization, and special matrices. - Part 3: Systems of diifferntial equations and qualitative methods. - Ch. 10: Systems of linear differential equations. - Ch. 11: Qualitative methods and systems of nonlinear differential equations. - Part 4: Vector analysis. - Ch. 12: Vector differential calculus. - Ch. 13: Vector integral calculus. - Part 5: Fourier analysis, orthogonal expansions, and wavelets. - Ch. 14: Fourier series. - Ch. 15: The Fourier integral and Fourier transforms. - Ch. 16: Special functions, orthogonal expansions, and wavelets. - Part 6: Partial differential equations. - Ch. 17: The wave equation. - Ch. 18: The heat equation. - Ch. 19: The potential equation. - Part 7: Complex analysis. - Ch. 20: Geometry and arithmetic of complex numbers. - Ch. 21: Complex functions. - Ch. 22: Complex integration. - Ch. 23: Series representations of functions. - Ch. 24: Singularities and the residue theorem. - Ch. 25: Conformal mappings. - Part 8: Probability and statistics. - Ch. 26: Counting and probability. - Ch. 27: Statistics. - Answers and solutions to selected problems. - Index.

0534552080 (hbk.) 9780534552084 (hbk.)


Engineering mathematics

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