Mathematics for Computer Science

Mathematics for Computer ScienceFree Download Mathematics for Computer Science Book in PDF written by Eric Lehman (Google Inc.), F Thomson Leighton (Department of Mathematics and the Computer Science and AI Laboratory, MIT; Akamai Technologies) , & Albert R Meyer (Department of Mathematics and the Computer Science and AI Laboratory, MIT; Akamai Technologies) . 

According to the Authors, “This Book explains how to use mathematical models and methods to analyze problems that arise in computer science. Proofs play a central role in this work because the authors share a belief with most mathematicians that proofs are essential for genuine understanding. Proofs also play a growing role in computer science; they are used to certify that software and hardware will always behave correctly, something that no amount of testing can do.

Simply put, a proof is a method of establishing truth. Like beauty, “truth” sometimes depends on the eye of the beholder, and it should not be surprising that what constitutes a proof differs among fields. For example, in the judicial system, legal truth is decided by a jury based on the allowable evidence presented at trial. In the business world, authoritative truth is specified by a trusted person or organization, or maybe just your boss. In fields such as physics or biology, scientific truth1 is confirmed by experiment. In statistics, probable truth is established by statistical analysis of sample data.

Table of Contents

  1. What is a Proof?
  2. The Well Ordering Principle
  3. Logical Formulas
  4. Mathematical Data Types
  5. Induction
  6. Recursive Data Types
  7. Infinite Sets
  8. Number Theory
  9. Directed graphs & Partial Orders
  10. Communication Networks
  11. Simple Graphs
  12. Planar Graphs
  13. Sums and Asymptotics
  14. Cardinality Rules
  15. Generating Functions
  16. Events and Probability Spaces
  17. Random Variables
  18. Deviation from the Mean
  19. Random Processes
  20. Recurrences

Free Download Mathematics for Computer Science Book in PDF written by Eric Lehman, F Thomson Leighton & Albert R Meyer from following download links.

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File Size: 8.13 MB           Pages: 829        Please Read Disclaimer

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You may also like to download Computer Systems A Programmer’s Perspective in PDF

 

 

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