Advanced Engineering MathematicsA mathematics resource for engineering, physics, math, and computer science students The enhanced e-text, Advanced Engineering Mathematics, 10th Edition, is a comprehensive book organized into six parts with exercises. It opens with ordinary differential equations and ends with the topic of mathematical statistics. The analysis chapters address: Fourier analysis and partial differential equations, complex analysis, and numeric analysis. The book is written by a pioneer in the field of applied mathematics. |
Contents
PART | 2 |
Review Questions and Problems | 43 |
FirstOrder ODEs | 44 |
Review Questions and Problems | 102 |
SecondOrder Linear ODEs | 103 |
Review Questions and Problems | 122 |
xvi | 147 |
Review Questions and Problems | 164 |
Review Questions and Problems | 469 |
Partial Differential Equations PDEs | 540 |
Review Questions and Problems | 603 |
Review Questions and Problems | 733 |
Conformal Mapping | 736 |
Review Questions and Problems | 756 |
Review Questions and Problems | 785 |
Numeric Linear Algebra | 844 |
Systems of ODEs Phase Plane Qualitative Methods | 165 |
xx | 192 |
Review Questions and Problems | 200 |
Laplace Transforms | 203 |
Contents | 242 |
Review Questions and Problems | 251 |
5 | 346 |
Review Questions and Problems | 352 |
Vector Differential Calculus Grad Div Curl | 354 |
Review Questions and Problems | 409 |
Other editions - View all
Common terms and phrases
applications basis Bessel calculus called CHAP chapter coefficients column complex components constant continuous corresponding critical points curve defined definition denoted derivatives determinant diagonal differential direction discussed eigenvectors elimination entries equal equation Example exists Find force formula Fourier function given gives graph Hence homogeneous implies important initial instance integral interval inverse Laplace transform limit Linear Algebra Linear Systems linearly independent matrix means method multiplication Note obtain ODEs operations orthogonal orthogonal matrix particular period plane positive power series Prob problem PROOF properties prove rank respectively result roots satisfies scalar Show sides solution Solve square Step substitution surface Table Theorem trajectories unit vector vector space write zero