This workbook is ideal for self-study, featuring problems that progress from easy to difficult in a step-by-step manner. At the beginning of each chapter, the author explains fundamental concepts and problem-solving techniques, supplemented by illustrative examples. Each chapter concludes with practice problems and complete solutions, making it an excellent resource for reinforcing foundational calculus knowledge.
Part of the 《Big Ideas Simply Explained》 encyclopedia series, this book chronicles the development of mathematics from prehistoric counting tools to modern mathematical concepts such as group theory, cryptography, and linear algebra. It is highly beneficial for readers seeking a comprehensive understanding of the history of mathematics.
One of the best books for learning how probability models real-world systems
A concise yet comprehensive overview of the fundamental topics related to sets (or collections) with mathematical structure
An introductory calculus book written by British physicist Silvanus Phillips Thompson in 1910, more than a century ago
Starting from the infancy of calculus (Archimedes), this book explains core concepts like derivatives and integrals in the historical order of calculus development.
This website primarily documents Terence Tao’s mathematical research progress, lectures, teaching materials, books, and other content. The material generally requires a strong mathematical background to understand, covering topics such as harmonic analysis, partial differential equations, and number theory. However, it also offers very detailed educational advice aimed at a general audience, spanning mathematics learning recommendations from elementary school through postdoctoral studies.
An introductory ordinary differential equations book tailored for engineering students, especially those in physics.
A novel centered on mathematical knowledge titled 《Math Girls》 commonly translated into Chinese as '数学女孩'
All scientific knowledge should help you see the world clearly, not just be about plugging into formulas and calculating answers.