Advanced Engineering MathematicsThe tenth edition of this bestselling text includes examples in more detail and more applied exercises; both changes are aimed at making the material more relevant and accessible to readers. Kreyszig introduces engineers and computer scientists to advanced math topics as they relate to practical problems. It goes into the following topics at great depth differential equations, partial differential equations, Fourier analysis, vector analysis, complex analysis, and linear algebra/differential equations. |
Contents
Contents | xxxi |
CONTENTS | lv |
Contents | lxxxvi |
Contents | lxxxviii |
PART | A-1 |
Complex Integration 643 | A-38 |
101 | |
103 | |
119 | |
124 | |
126 | |
128 | |
130 | |
134 | |
139 | |
110 | |
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Common terms and phrases
3-space 9 Vector acceleration vector angle Answers to Odd-Numbered applications Arc Length Cartesian coordinate system CHAP Chapter Circle components constant Convergent cosh cosx cross product curl Curvature curve defined Directional Derivative divergence dot product e_2t Ellipse equation EXAMPLE Find flow fluid force formula function f(x geometric given gives grad f gradient Hence initial point integral obtain Odd-Numbered Problems 15 Odd-Numbered Problems Problem orthogonal parallelogram parametric representation partial derivatives perpendicular plane position vector Prob Problems 11 Problems Problem Set Questions and Problems radius Review Questions right-handed saddle point scalar fields scalar function scalar triple product sinh sinx Sketch space speed straight line surface normal Surface Normal Vector tangent vector terminal point Theorem Torsion undefined unit vector variable vector addition vector calculus Vector Differential Calculus vector fields vector function vector product velocity field velocity vector