Advanced Engineering MathematicsThis market leading text is known for its comprehensive coverage, careful and correct mathematics, outstanding exercises and self contained subject matter parts for maximum flexibility. Thoroughly updated and streamlined to reflect new developments in the field, the ninth edition of this bestselling text features modern engineering applications and the uses of technology. Kreyszig introduces engineers and computer scientists to advanced math topics as they relate to practical problems. The material is arranged into seven independent parts: ODE; Linear Algebra, Vector Calculus; Fourier Analysis and Partial Differential Equations; Complex Analysis; Numerical methods; Optimization, graphs; and Probability and Statistics. |
Contents
Ordinary Differential Equations of the First Order | 1 |
CHAPTER 2 | 56 |
CHAPTER 3 | 125 |
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analytic applications approximation assuming becomes boundary called circle coefficients complex components consider constant continuous converges coordinates corresponding curves defined definition denote dependent derivatives determine differential equation direction eigenvalues elements equal error EXAMPLE exists expression fact Find fixed force formula Fourier function given Hence illustrate important independent initial integral interval length limit linear mapping matrix means method multiplication obtain orthogonal partial path period physical plane positive potential present Prob problem Problems for Sec proof prove region represented respect result root satisfies sequence Show side simple solution Solve space step surface Table Theorem tion unit variables vector write written y₁ yields zero