دانلود کتاب Mathematical Thinking: Exercises for the Mind

The purpose of this book is to improve the reader’s analytical skills through the study and practice of “mathematical thinking” where “mathematical thinking” includes algorithms, logic, methods of reasoning, methods of proof, modeling, and universal mathematical laws. As a byproduct, the reader is provided with a brief introduction to many areas of mathematics including calculus, combinatorics, probability, statistics, graph theory, linear algebra and several other areas.The intended audience includes students (advanced high school and college) and folks in general who are interested in improving their analytical thinking skills and at the same time learning some mathematics. For those who don’t deal with mathematics on a regular basis, this will not be an easy read but hopefully, the benefits will be worth it.The prerequisites are fairly basic, i.e., high school algebra, a little bit of basic geometry, and some prior exposure to mathematical proofs. Most of the topics in the book are developed from basic principles.