Kreyszig, Erwin.

Advanced engineering mathematics / Erwin Kreyszig ; in collaboration with Herbert Kreyszig and Edward J. Norminton. - 10th edition - Hoboken, NJ : John Wiley, 2011. - various pagings : ill. ; 27 cm.

Includes bibliographical references and index.

Part A: Ordinary differential equations (ODEs) -- First-order ODEs -- Second-order Linear ODEs -- Higher order linear ODEs -- Systems of ODEs. phase plane. qualitative methods -- Series solutions of ODEs. special functions -- Laplace transforms -- Part B: Linear algebra. Vector calculus -- Linear algebra: matrices, vectors, determinants. linear systems -- Linear Algebra: matrix eigenvalue problems -- Vector differential calculus. grad, div, curl -- Vector integral calculus. itegral theorems -- Part C: Fourier analysis. Partial differential equations (PDEs) -- Fourier analysis -- Partial differential equations (PDEs) -- Part D: Complex analysis -- Complex numbers and functions Complex differentiation -- Complex integration -- Power series, Taylor series -- Laurent series. Residue integration -- Conformal mapping -- Complex analysis and potential theory -- Part E: Numeric Analysis Software -- Numbers in general -- Numeric linear algebra -- Numerics for ODEs and PDEs -- Part F: Optimization, graphs -- Unconstrained optimization. linear programming -- Graphs, combinatorial optimization.



9780470646137


Mathematical physics.
Engineering mathematics

510.2462