Textbook Of Engineering MathematicsNew Age International, 2006 - 944 pages This Thoroughly Revised Edition Is Designed For The Core Course On The Subject And Presents A Detailed Yet Simple Treatment Of The Fundamental Principles Involved In Engineering Mathematics. All Basic Concepts Have Been Comprehensively Explained And Illustrated Through A Variety Of Solved Examples. Instead Of Too Much Mathematically Involved Illustrations, A Step-By-Step Approach Has Been Followed Throughout The Book. Unsolved Problems, Objective And Review Questions Along With Short Answer Questions Have Been Also Included For A Thorough Grasp Of The Subject. Graded Problems Have Been Included From Different Examinations.The Book Would Serve As An Excellent Text For Undergraduate Engineering And Diploma Students Of All Disciplines. Amie Candidates Would Also Find It Very Useful. The Topics Given In This Book Covers The Syllabuses Of Various Universities And Institutions E.G., Various Nit S, Jntu, Bit S Etc. |
Contents
Infinite Series 130 | 1 |
Solid Geometry 3181 | 31 |
Matrix Theory 82128 | 82 |
Differential Calculus 129185 | 129 |
Curve Tracing 186201 | 186 |
Integral Calculus 202264 | 202 |
Multiple Integrals and Applications | 232 |
B 3 Area Enclosed by Plane Curves | 240 |
Numerical Methods 623713 | 623 |
Solution of Linear Simultaneous Equations | 636 |
B 5 Jacobis Iteration Method | 642 |
Numerical Differentiation and Integration | 672 |
Curve Fitting by Method of Least Squares | 687 |
E 4 Fitting of Other Curves | 693 |
E 6 Multiple Regression | 699 |
F 5 RungeKutta Methods | 705 |
Vector Calculus 265315 | 265 |
Complex Analysis 316389 | 316 |
Oridinary Differential Equations 390473 | 390 |
Linear Differential Equations of Higher Orders | 433 |
Cauchys and Legendres Linear Equations | 455 |
Applications of Linear Differential Equations | 462 |
Fourier Series 474509 | 474 |
Partial Differential Equations with Applications 510571 | 510 |
Power Series Solutions of ODE and Special Functions 572622 | 572 |
Statistical Methods 714798 | 714 |
Integral Transforms 799862 | 799 |
Laplace Transforms | 824 |
Difference Equations and ZTransforms 863888 | 863 |
zTransforms | 873 |
B 6 Inverse zTransform by Power Series Method | 881 |
APPENDICES | 889 |
Common terms and phrases
a₁ ANSWERS b₁ bilinear transformation c₁ c₂ called Cauchy's coefficients constant convergent coordinate cos² cosh cosine curve d₁ d²y differential equation distribution Divergence theorem diverges dx dx dx dy dz dy dx e²x eigen values Euler's method Evaluate Example Find the equation formula Fourier series function f(x given equation Hence improper integral integral inverse Laplace transform linear matrix Mean Value Theorem method normal obtain orthogonal plane polynomial region roots sample SHORT PROBLEMS sin x sin² sinh solution Solve Stoke's theorem surface tangent Theorem transform u₁ Un+1 variable x-axis x₁ y₁ z-plane z-transform z₁ zero ηπ дг ди ди ду ду дх дх ду