Discrete Mathematics PDF Free Download for Bachelor Degrees

Discrete Mathematics
Discrete mathematics is very important to Computer Science Students. It describes the Importance of Binary Numbers and Logic Gates. All Computer System components work on the bases of Logic Gates. It is very important to study about the Logic System in Mathematics. Discrete mathematics describe the rule for the functions and numbers System.

Discrete Mathematics Helping Material for Bachelor’s Degree PDF Free Download

Course Contents:


This Outline Content depends Upon University Course Contents

A taxonomy of optimization problems and solution methods; Convex sets, convex functions and convex optimization; Linear and convex quadratic optimization problems. Combinatorial optimization; Geometric and semi- definite optimization. Duality; Computational complexity and NP-completeness; Algorithms for smooth unconstrained optimization; Algorithms for constrained optimization, including interior point methods; Sequential quadratic programming; Derivative-free optimization. Outline of techniques for discrete optimization, including relaxation; Multiobjective Optimization.

Reference Materials Recommended By HEC:
  1. Constraint processing, R. Dechter (2003): Morgan Kaufmann.
  2. ConvexOptimization, Boyd and Vandenberghe, Cambridge University Press, Cambridge, 2004.
  3. Convex optimization theory, Bertsekas, Athena Scientific, Belmont, MA, 2009.
  4. Convex analysis and optimization, Bertsekas, with Nedic and Ozdaglar, Athena Scientific, Belmont, MA, 2003.
  5. Numerical Optimization, Nocedal and Wright, Second Edition, Springer, New York, 2006.
  6. Nonlinear Programming, Bertsekas, Second Edition, Athena Scientific, Belmont, MA, 1999.
  7. Practical Optimization, Gill, Murry and Wright, Academic Press, London, 1986.
  8. Optimization: Algorithms and Engineering Applications, Antoniou and Lu, Practical Springer, New York, 2007. 9. An Introduction to Optimization, Chong and Zak, second edition, Wiley, 2001.

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