The Math You Need: A Comprehensive Survey of Undergraduate Mathematics

Author: by Thomas Mack (Author)

Publisher finelybook 出版社: The MIT Press

Publication Date 出版日期: 2023-10-31

Language 语言: English

Print Length 页数: 496 pages

ISBN-10: 0262546329

ISBN-13: 9780262546324

**Book Description**

A comprehensive survey of undergraduate mathematics, compressing four years of study into one robust overview.

In The Math You Need, Thomas Mack provides a singular, comprehensive survey of undergraduate mathematics, compressing four years of math curricula into one volume. Without sacrificing rigor, this book provides a go-to resource for the essentials that any academic or professional needs. Each chapter is followed by numerous exercises to provide the reader an opportunity to practice what they learned. The Math You Need is distinguished in its use of the Bourbaki style—the gold standard for concision and an approach that mathematicians will find of particular interest. As ambitious as it is compact, this text embraces mathematical abstraction throughout, avoiding ad hoc computations in favor of general results.

Covering nine areas—group theory, commutative algebra, linear algebra, topology, real analysis, complex analysis, number theory, probability, and statistics—this thorough and highly effective overview of the undergraduate curriculum will prove to be invaluable to students and instructors alike.

### Review

—Jay Cummings, Associate Professor, CSU Sacramento; author of Proofs: A Long-Form Mathematics Textbook and Real Analysis: A Long-Form Mathematics Textbook

“This degree-in-a-book covers nine textbooks’ worth of advanced undergraduate mathematics in one well-written book, with over 300 exercises included. As both a reference and a resource, it’s indispensable for every student and teacher of advanced mathematics.”

—Oscar E. Fernandez, Associate Professor of Mathematics, Wellesley College; author of Calculus Simplified, The Calculus of Happiness, and Everyday Calculus