Kneusel Ronald T. Math for Programming: Learn the Math, Write Better Code

No Starch Press, 2025. — 504 p. — ISBN-13: 978-1-7185-0358-8.Artificial intelligence is evolving at an unprecedented pace, and breakthroughs continue to reshape the way we interact with technology. While OpenAI's ChatGPT has dominated the AI space, a new contender has emerged — DeepSeek AI, an innovative and powerful language model that challenges the status quo. This book, Mastering DeepSeek AI: Step-by-Step Guide to the ChatGPT Challenger, is designed to be your ultimate guide to understanding, comparing, and utilizing DeepSeek AI. Whether you're an AI enthusiast, a researcher, or someone looking to harness AI for business or personal use, this book will provide the insights you need.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.Programming is the art of transforming thought into code to accomplish a desired goal. This book seeks to improve that process by exploring the mathematics often present under the surface, if not out in the open. The topics discussed in this book are a condensed version of the mathematics required of most undergraduate computer science majors. They span foundational notions from set theory through discrete mathematics to linear algebra (essential for modern AI) to calculus. At all times, the book presents a balance between the math and the way programmers use it via examples in Python, C, and other languages where appropriate. Often, the code examples are directly relevant to everyday coding problems.While it’s possible to be a good coder without a solid knowledge of mathematics, I argue that such knowledge will make you an even better coder. Mathematics is the second system devised by humans for encoding and manipulating patterns. Language is the first. Programming is yet another such system, arguably the third. Mathematics and programming are interdependent; skills learned in one domain transfer to the other. Logical thinking, problem-solving, and abstract reasoning are fundamental to both.As a coder, you will eventually encounter algorithms and data structures requiring you to have a solid mathematical foundation to understand them well. Indeed, for many decades, Computer Science was part of the mathematics department. Theoretical Computer Science remains to this day a thoroughly mathematical enterprise.Through clear explanations and practical examples, you’ll learn to Harness linear algebra to manipulate data with unprecedented efficiency Apply calculus concepts to optimize algorithms and drive simulations. Use probability and statistics to model uncertainty and analyze data Master the discrete mathematics that powers modern data structures.Computers and numbers.
Sets and abstract algebra.
Boolean algebra.
Functions and relations.
Induction.
Functions and relations.
Induction.
Recurrence and recursion.
Number theory.
Counting and combinatorics.
Graphs.
Trees.
Probability.
Statistics.
Linear algebra.
Differential calculus.
Integral calculus.