Saturday, April 26, 2014

Engineering Maths

Discrete maths
 *Propositional and predicate Logic
 *Sets and Relations
 *Functions and Groups
 *Lattices and Boolean Algebra
 *Graphs and trees
 *Induction

Combinatorics
*Permutations and combinations(Counting and summation)
*Generating functions
*Recurrence relations

Probability
 *Events(Mutually Exclusive, Dependent and Independent events)
 *Kolmogorov Axioms
 *Conditional probability and Bayes theorem
 *Distributions
   >uniform
   >Normal
   > Exponential,Poisson and Binomial

Calculus
 *Limits and Continuty
 *Differentiability
 *Mean value theorems
 *Integral calculus
 *Partial and Total derivatives
 *Maxima and Minima

Algebra.
 *Linear Algebra
     >Solution to system of Homogeneous and non homogenous Linear equations
     >Eigen values and eigen vectors
 *Numerical Methods
    >solutions of systems of Linear equations
    >solutions of systems of Non  linear equations
    >Numerical Integration

Some Books to follow..
*Elements of dm -Cl liu
*DMS with CS -Tremblay and Manohar
*DM in cs - Stanat
*DM and its application-Kenneth rosen
*Logic and d mathematics -Grassman
*Introductory combinatorics -Brualdi
*Modern applied algebra -Brikhoff
*Mathematical theory of comp -Manna
*Intro to combinational maths -c liu
    

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