Comprehensive Engineering Mathematics (amie)

The book has been specially written for AMIE section A Non-diploma aspirants strictly in accordance with the latest syllabus. The author has endeavoured to present the fundamental concepts in a comprehensive and lucid manner. An outstanding and distinguishing feature of the book is the large number of typical solved examples followed by well-graded exercises for practice. Questions from previous papers have been inserted at proper places. The book is complete in all respects.
Table Of Contents :
GROUP A
Unit 1 (Calculus of Functions of One Variable)
0.    Recapitulation (Differential Calculus)
1.    Successive Differentiation
2.    Leibnitz's Theorem
3.    Rolle's Theorem and Mean Value Theorems
4.    Taylor's and Maclaurin's Expansion Theorems
0.    Recapitulation (Integral Calculus)
5.    Fundamental Theorem of Integral Calculus
6.    Elementary Reduction Formulae for Integrals
7.    Lengths of Curves
8.    Areas of Plane Curves
9.    Volumes and Surfaces of Solids of Revolution
10.  Moments of Centre of Gravity
11.  Infinite Series

Unit 2 (Calculus of Functions of Several Variables)
1.    Partial Derivatives
2.    Maxima and Minima
3.    Multiple Integrals

Unit 3 (Vector Calculus)
1.    Vector Calculus

Unit 4 (Linear Algebra)
1.    Linear Algebra

GROUP B
Unit 1 (Ordinary Differential Equations ODEs)
1.    Ordinary Differential Equations
2.    Partial Differential Equations and Their Applications
3.    Laplace Transforms and its Applications
4.    Fourier Transforms

Unit 2 (Numerical Methods)
1.    Numerical Methods

Unit 3 (Introduction to Probability and Statistics)
1.    Introduction to Probability and Statistics
      Appendices
About Author :
N. P. Bali is a prolific author of over 100 books for degree and engineering students. He has been writing books for nearly forty years. His books on the following topics are well-known for their easy comprehension and lucid presentation :
Algebra, Trigonometry, Differential Calculus, Integral Calculus, Real Analysis, Co-ordinate Geometry, Statics, Dynamics, etc.EEM-0540