Engineering Mathematics : BOOKS & Lecture Notes

Syllabus :

• Mathematical Logic :

Propositional Logic; First Order Logic.

• Probability :

Conditional Probability; Mean, Median, Mode and Standard Deviation; Random Variables; Distributions; uniform, normal, exponential, Poisson, Binomial.

• Set Theory & Algebra :

Sets; Relations; Functions; Groups; Partial Orders; Lattice; Boolean Algebra.

• Combinatorial :

Permutations; Combinations; Counting; Summation; generating functions; recurrence relations; asymptotics.

• Graph Theory :

Connectivity; spanning trees; Cut vertices & edges; covering; matching; independent sets; Colouring; Planarity; Isomorphism.

• Linear Algebra :

Algebra of matrices, determinants, systems of linear equations, Eigen values and Eigen vectors.

• Numerical Methods :

LU decomposition for systems of linear equations; numerical solutions of non-linear algebraic equations by Secant, Bisection and Newton-Raphson Methods; Numerical integration by trapezoidal and Simpson's rules.

• Calculus :

Limit, Continuity & differentiability, Mean value Theorems, Theorems of integral calculus, evaluation of definite & improper integrals, Partial derivatives, Total derivatives, maxima & minima.

There are following Books for Engineering Mathematics with free download for GATE :

• Elementary Linear Algebra - By Howard Anton and Chris Rorres, Ninth Edition. 

• Discrete Mathematics and Its Applications - By Kennrth H. Rosen, Sixth Edition.

• Discrere Mathematical Structures - By Kolman, Busby and Ross, Fifth Edition.

• Elementary Differential Equations and Boundary Value Problems - By William E. Boyce and Richard C. Diprima, Seventh Edition.

• Linear Algebra and its Applications - By Gilbert Strang, Third Edition.

• Elementary Numerical Analysis - An algorithmic approach, International series in pure and applied Mathematics - By William E. Boyce and Richard C. DiPrima, Seventh Edition.

• Discrete and Combinatorial Mathematics - By Ralph P. Grimaldi, Fifth Edition.

• Advanced Engineering Mathematics - By Erwin Kreyszig, Ninth Edition ( With Solution ).

• Graph Theory with applications to Engineering and Computer Science - By Narsingh Deo.

• Graph Theory - By Reinhard Diestel, Electronic Edition.
   

There are following important, excellent & very useful some lecture notes by different authors with free download :

• Discrete Mathematics Final Review - By Zeph Grunschlag.

• Discrete Mathematics - By W W L Chen.

• Discrete Mathematics - By Philippa Gardner.

• Discrete Mathematics - By Iain Phillips.