Essential Beginner's Guide to Discrete Math

Oct 2, 2024

Affordable Math Book for Beginners

Overview

  • Book Title: Introductory Discrete Mathematics
  • Author: VK Balakrishnan
  • Type: Dover reprint (affordable)
  • Target Audience: Beginners in mathematics, especially for those studying Computer Science

Book Features

  • Availability: Easily accessible and affordable
  • Readability: While not the easiest, it is considered good for self-study
  • Format: Paperback, which is convenient for reading in bed
  • Content Structure: Content is concise and covers essential topics

Content Breakdown

  • Set Theory and Logic:
    • Basics of set theory introduced
    • Definitions highlighted in bold
  • Combinatorics:
    • Counting rules, permutations, combinations
    • Pigeonhole principle, inclusion-exclusion principle
  • Generating Functions and Recurrence Relations:
    • Tools for solving counting problems
  • Graphs and Digraphs:
    • Introduction to graph theory, trees, and their applications
    • Topics like spanning tree problems and shortest path problems

Exercises and Learning Approach

  • Exercises appear at the end of each chapter
  • Answers are provided for selected exercises (odd-numbered ones)
  • Allows readers to engage with the material actively

Teaching Style

  • Encourages working through challenging sections and moving on if stuck
  • Maximizes learning time through structured reading

Recommendations

  • Suitable as a supplement for college-level discrete mathematics courses
  • Good for pre-college students interested in mathematics or computer science
  • Author recognized for quality mathematics texts

Additional Resources

  • Author has other mathematics books worth exploring
  • Courses available on Math Sourcer and Udemy
  • Follow the YouTube channel "The Internet Sourcer" for more math-related content

Conclusion

  • Overall, a highly recommended book for those interested in learning discrete mathematics
  • Valuable addition to any mathematics library
  • Personal endorsement from the presenter, who has used the book for over a decade