Thread by @thePiggsBoson

The Mathematicians' Library! 📚

20 Best Mathematics Books that you can read to get you started and excel at Learning Math.

A Books Thread 👇

1) The Wonder Book of Geometry: A Mathematical Story by David Acheson

Acheson has set geometry free from the confines of stuffy textbooks. There’s a rich and ancient history to be found in these pages, and a future for the field that extends beyond neat (yet elegant) eqns.

2) The Weird Math series by David Darling and Agnijo Banerjee

Agnijo Banerjee, and his tutor David Darling, fill the pages of three books with exotic and unusual facts about math, including God’s Number and the reigning role of π in just about everything.

3) Beyond Infinity by Eugenia Cheng

The writer brings the concept of ∞ to life. Eugenia Cheng’s infectious enthusiasm makes math a delight. Discover why some infinities are bigger than others, and why there’s always room at an infinite hotel, even if it’s full.

4) The Weil Conjectures

The Weils are siblings. One's a renowned mathematician known for contributions to algebraic geometry and number theory, the other a famous philosopher and political activist. Math and philosophy become entangled in this fascinating memoir of the giants.

5) The Calculus Lifesaver

Lengthy yet vital, this resource book is jam packed with straight-forward explanations and loads of solved problems for students to easily learn from. Excelling many of its contemporaries by leaps and bounds, it truly lives up to its title.

6) Contemporary Abstract Algebra by Joseph Gallian

The 7th edition of this book covers the basics of abstract algebra with clarity and a rarely seen brightness. This textbook provides an excellent starting point for any student looking to learn and understand the subject.

7) Linear algebra done right byy Sheldon Axler

It is an excellent book demanding a small maturity level of mathematics. Axler conveys a logical and thoughtful way to the job. He focuses on matrices and turns the attention of readers towards linear mappings.

8) The Four Pillars of Geometry by John Stillwell

This book helps the student acquire a more convincing recognition for geometry with unique capability and compared at various angles that enable learners to increase their knowledge of this topic.

9) Numb and Number by William Hartston

Numbers tell us everything and nothing. They’re used in the statistics that surround us on a daily basis, from the rise in COVID-19 cases to the savings on spending we hope to make before Christmas.

10) Elementary number theory Gareth A. Jones and Josephine M. Jones

The book emphasizes the power of number theory rightfully, and the writers complete every exercise with flawless answers that something students would undoubtedly enjoy.

11) Combinatorics and Graph Theory (2nd edition)
by John Harris, Jeffry L. Hirst, and Michael Mossinghoff

This books has unambiguous explanations on a range of topics such as Ramsey numbers, Cayley’s tree-count theorem, inclusion-exclusion, vertex coloring, to just name a few.

12) Differential Equations and Their Applications
by Martin Braun

The writer covers it fluidly spurring readers to dig deeper into the concepts of differential eqns. Motivated students will find Braun’s discussion insightful, a result of his strive to implement understanding.

13) Introduction to Coding and Information Theory
by Steve Roman

Readers gain a profound understanding of the types of codes and their efficiency through this book starting off with an introductory section containing brief preliminaries and an introduction to codes.

14) An Introduction To Probability Theory and Its Applications by Willian Feller

The examples help the students to get clear and accurate conceptual knowledge of discrete probability along with an intuitive understanding of the subject. Therefore, it can be a must-read book.

15) Principles of Mathematical Analysis, 3rd Edition: By Walter Rudin

It is a very beneficial book for the students and other mathematicians. The challenging practical problems will train the students to solve the challenging questions effectively and intuitively.

16) Mathematical Methods by Sadri Hassani

This book gives readers an enhanced view of complex math and their applications than most standard courses don’t do. Highly recommended for those who know linear and complex algebra, differential equations, and even complex analysis.

17) Introduction to Topology and Modern Analysis: By George F. Simmons

Students, who prefer self-study, find this book a phenomenal communicator and face no issue during the study. It clarifies each topology concepts and provides deeper insights into its multiple aspects.

18) Mathematical Methods in the Physical Sciences
by Mary L. Boas

Math majors need to be aware that this book is intended for the fields of science and engineering, therefore the author’s focus is not on proofs or mathematical rigor.

19) The Princeton Companion to Mathematics: By June Barrow-Green, Timothy Gowers, and Imre Leader.

This book has defined the truth of math which is versatile and has the ability to make students understand the complexity of math as it has all the techniques to solve problems.

20) Categories for the Working Mathematician
by Saunders Mac Lane

Category theory is a tough topic for many and is not effortlessly explained. However, Mac Lane, the very originator of category theory, approaches the task with skill, dexterity and an orderly flow of writing.

If you liked this thread, you can check out my another thread on Physics book recommendations here:

https://twitter.com/thePiggsBoson/status/1441434475175366660?t=jq_ZU1I-m_7Z735n-7D0mQ&s=19

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