Math for Programming: Learn the Math, Write Better Code

Description

A one-stop-shop for all the math you should have learned for your programming career. Every great programming challenge has mathematical principles at its heart. Whether you’re optimizing search algorithms, building physics engines for games, or training neural networks, success depends on your grasp of core mathematical concepts. In Math for Programming, you’ll master the essential mathematics that will take you from basic coding to serious software development. You’ll discover how vectors and matrices give you the power to handle complex data, how calculus drives optimization and machine learning, and how graph theory leads to advanced search algorithms. Through clear explanations and practical examples, you’ll learn to: Harness linear algebra to manipulate data with unprecedented efficiencyApply calculus concepts to optimize algorithms and drive simulationsUse probability and statistics to model uncertainty and analyze dataMaster the discrete mathematics that powers modern data structuresSolve dynamic problems through differential equations Whether you’re seeking to fill gaps in your mathematical foundation or looking to refresh your understanding of core concepts, Math for Programming will turn complex math into a practical tool you’ll use every day. Foreword Acknowledgments Introduction Chapter 1. Computers and Numbers Chapter 2. Sets and Abstract Algebra Chapter 3. Boolean Algebra Chapter 4. Functions and Relations Chapter 5. Induction Chapter 6. Recurrence and Recursion Chapter 7. Number Theory Chapter 8. Counting and Combinatorics Chapter 9. Graphs Chapter 10. Trees Chapter 11. Probability Chapter 12. Statistics Chapter 13. Linear Algebra Chapter 14. Differential Calculus Chapter 15. Integral Calculus Chapter 16. Differential Equations Index