Practical Foundations of Mathematics: A Comprehensive Textbook

Practical Foundations of Mathematics provides a systematic introduction to several key areas of mathematics, ranging from first-order logic and type theory to category theory and dependent types. The book is practically oriented, using clear explanations and numerous examples to help readers grasp abstract mathematical concepts. Topics covered include mathematical logic, set theory, posets and lattices, Cartesian closed categories, limits and colimits, structural recursion, adjunctions, and algebra with dependent types. This is an invaluable resource for anyone seeking a deep understanding of mathematical foundations.