5 Highly Recommended Mathematics Textbooks
List of 5 highly recommended mathematics books. Check out the booklist.
1. Encyclopedia of Mathematics
Encyclopedia of Mathematics is a comprehensive one-volume encyclopedia designed for high school through early college students. More than 1,000 entries, more than 125 photographs and illustrations, and numerous essays cover the principal areas and issues that characterize this “”new”” area of science. This valuable resource unites disparate ideas and provides the meaning, history, context, and relevance behind each one.
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2. A Mathematical Introduction to Logic
A Mathematical Introduction to Logic, Second Edition, offers increased flexibility with topic coverage, allowing for choice in how to utilize the textbook in a course. The author has made this edition more accessible to better meet the needs of today’s undergraduate mathematics and philosophy students. It is intended for the reader who has not studied logic previously, but who has some experience in mathematical reasoning. Material is presented on computer science issues such as computational complexity and database queries, with additional coverage of introductory material such as sets.
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3. Categories for the Working Mathematician
An array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. It then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjoint-like data and characterised by Beck’s theorem.
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4. Classic Set Theory
Classic Set Theory gives students sufficient grounding in a rigorous approach to the revolutionary results of set theory as well as pleasure in being able to tackle significant problems that arise from the theory.
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5. Calculus Made Easy
A knowledge of calculus renders straightforward many problems in mathematics, physics and engineering. Thompson’s book renders calculus straightforward. Ideal for anyone who has suffered rather than enjoyed calculus. This text, with numerous worked examples, will teach you to understand calculus and also how to solve typical exam questions.
