100 books like Teaching and Learning Algebra

By Doug French,

Here are 100 books that Teaching and Learning Algebra fans have personally recommended if you like Teaching and Learning Algebra. Shepherd is a community of 11,000+ authors and super readers sharing their favorite books with the world.

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Book cover of Things to Make and Do in the Fourth Dimension

David Acheson Author Of The Wonder Book of Geometry: A Mathematical Story

From my list on mathematics for the general reader.

Why am I passionate about this?

I am an applied mathematician at Oxford University, and author of the bestseller 1089 and All That, which has now been translated into 13 languages. In 1992 I discovered a strange mathematical theorem – loosely related to the Indian Rope Trick - which eventually featured on BBC television. My books and public lectures are now aimed at bringing mainstream mathematics to the general public in new and exciting ways.

David's book list on mathematics for the general reader

David Acheson Why did David love this book?

I have always liked the classical geometry of triangles and circles, but Matt Parker's book helped me go way beyond that and broaden my whole outlook. And the attractively hand-drawn diagrams and zany humour just added to the whole experience. After all, how many maths authors do you know who decide to build a computer out of 10,000 dominoes, just to calculate 6 + 4? 

By Matt Parker,

Why should I read it?

1 author picked Things to Make and Do in the Fourth Dimension as one of their favorite books, and they share why you should read it.

What is this book about?

Stand-up mathematician and star of Festival of the Spoken Nerd, Matt Parker presents Things to Make and Do in the Fourth Dimension -- a riotous journey through the possibilities of numbers, with audience participation

- Cut pizzas in new and fairer ways!
- Fit a 2p coin through an impossibly small hole!
- Make a perfect regular pentagon by knotting a piece of paper!
- Tie your shoes faster than ever before, saving literally seconds of your life!
- Use those extra seconds to contemplate the diminishing returns of an exclamation-point at the end of every bullet-point!
- Make a…


Book cover of Alex Through the Looking-Glass

David Acheson Author Of The Wonder Book of Geometry: A Mathematical Story

From my list on mathematics for the general reader.

Why am I passionate about this?

I am an applied mathematician at Oxford University, and author of the bestseller 1089 and All That, which has now been translated into 13 languages. In 1992 I discovered a strange mathematical theorem – loosely related to the Indian Rope Trick - which eventually featured on BBC television. My books and public lectures are now aimed at bringing mainstream mathematics to the general public in new and exciting ways.

David's book list on mathematics for the general reader

David Acheson Why did David love this book?

This is a sequel to Alex Bellos's bestseller Alex's Adventures in Numberland, but more focused on applications of mathematics to the real world, especially through physics. Many of these were known to me, particularly when they involved calculus, but I greatly enjoyed Alex's distinctive and novel way of putting across sophisticated ideas, in part by interspersing them with personal interviews with mathematicians of all kinds.  

By Alex Bellos,

Why should I read it?

1 author picked Alex Through the Looking-Glass as one of their favorite books, and they share why you should read it.

What is this book about?

From triangles, rotations and power laws, to fractals, cones and curves, bestselling author Alex Bellos takes you on a journey of mathematical discovery with his signature wit, engaging stories and limitless enthusiasm. As he narrates a series of eye-opening encounters with lively personalities all over the world, Alex demonstrates how numbers have come to be our friends, are fascinating and extremely accessible, and how they have changed our world.

He turns even the dreaded calculus into an easy-to-grasp mathematical exposition, and sifts through over 30,000 survey submissions to reveal the world's favourite number. In Germany, he meets the engineer who…


Book cover of Makers of Mathematics

David Acheson Author Of The Wonder Book of Geometry: A Mathematical Story

From my list on mathematics for the general reader.

Why am I passionate about this?

I am an applied mathematician at Oxford University, and author of the bestseller 1089 and All That, which has now been translated into 13 languages. In 1992 I discovered a strange mathematical theorem – loosely related to the Indian Rope Trick - which eventually featured on BBC television. My books and public lectures are now aimed at bringing mainstream mathematics to the general public in new and exciting ways.

David's book list on mathematics for the general reader

David Acheson Why did David love this book?

One way of enlivening any presentation of mathematics is by including some history of the subject, but this only really works if there is some serious scholarship behind it. I especially like Hollingdale's book, partly because of the concise writing style, and partly because of the unusually good balance between history and mathematics itself. The calculus, in all its various forms, with some aspects going right back to the Ancient Greeks, is treated especially well.

By Stuart Hollingdale,

Why should I read it?

1 author picked Makers of Mathematics as one of their favorite books, and they share why you should read it.

What is this book about?

Fascinating and highly readable, this book recounts the history of mathematics as revealed in the lives and writings of the most distinguished practitioners of the art: Archimedes, Descartes, Fermat, Pascal, Newton, Leibniz, Euler, Gauss, Hamilton, Einstein, and many more. Author Stuart Hollingdale introduces and explains the roles of these gifted and often colorful figures in the development of mathematics as well as the ways in which their work relates to mathematics as a whole.
Although the emphasis in this absorbing survey is primarily biographical, Hollingdale also discusses major historical themes and explains new ideas and techniques. No specialized mathematical knowledge…


Book cover of Mathematics for the Million: How to Master the Magic of Numbers

David Acheson Author Of The Wonder Book of Geometry: A Mathematical Story

From my list on mathematics for the general reader.

Why am I passionate about this?

I am an applied mathematician at Oxford University, and author of the bestseller 1089 and All That, which has now been translated into 13 languages. In 1992 I discovered a strange mathematical theorem – loosely related to the Indian Rope Trick - which eventually featured on BBC television. My books and public lectures are now aimed at bringing mainstream mathematics to the general public in new and exciting ways.

David's book list on mathematics for the general reader

David Acheson Why did David love this book?

This book has haunted me for years. For what is it, exactly, that gives it such enduring popularity? After all, it was first published in 1936, yet is still in print today. In his autobiography, Hogben remarks on the importance of eye-catching illustrations but speculates that its success may instead be because the book contains – most unusually for a 'popular' work – exercises and answers, making it more suitable for self-teaching. Whatever the real answer, his book must surely have something to teach anyone – like myself – who aspires to bring mainstream mathematics to life for the general public.

By Lancelot Hogben,

Why should I read it?

1 author picked Mathematics for the Million as one of their favorite books, and they share why you should read it.

What is this book about?

Explains mathematics from counting to calculus in the light of man's changing social achievements.


Book cover of Linear Algebra Done Right

Ivan Savov Author Of No Bullshit Guide to Linear Algebra

From my list on textbooks for learning linear algebra.

Why am I passionate about this?

I've been teaching math and physics for more than 20 years as a private tutor. During this time, I experimented with different ways to explain concepts to make them easy to understand. I'm a big fan of using concept maps to show the connections between concepts and teaching topics in an integrated manner, including prerequisites and applications. While researching the material for my book, I read dozens of linear algebra textbooks and watched hundreds of videos, looking for the best ways to explain complicated concepts intuitively. I've tried to distill the essential ideas of linear algebra in my book and prepared this list to highlight the books I learned from.

Ivan's book list on textbooks for learning linear algebra

Ivan Savov Why did Ivan love this book?

In my opinion, Prof. Axler's book is the best way to learn the formal proofs of linear algebra theorems.

My undergraduate studies were in engineering, so I never learned the proofs. This is why I chose this book to solidify my understanding of the material; it didn't disappoint! Already, in the first few chapters, I learned new things about concepts that I thought I understood.

The book contains numerous exercises which were essential for the learning process. I went through the exercises with a group of friends, which helped me stay motivated. It wasn't easy, but all the time I invested in the proofs was rewarded by a solid understanding of the material.

I highly recommend this book as a second book on linear algebra.

By Sheldon Axler,

Why should I read it?

1 author picked Linear Algebra Done Right as one of their favorite books, and they share why you should read it.

What is this book about?

This best-selling textbook for a second course in linear algebra is aimed at undergrad math majors and graduate students. The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra.

The third edition contains major improvements and revisions throughout the book. More than 300 new exercises have…


Book cover of A Mind For Numbers: How to Excel at Math and Science (Even If You Flunked Algebra)

Scott Young Author Of Ultralearning: Master Hard Skills, Outsmart the Competition, and Accelerate Your Career

From my list on becoming a more effective learner.

Why am I passionate about this?

I'm a writer, programmer, traveler and avid reader of interesting things. For the last ten years I've been experimenting to find out how to learn and think better. I don't promise I have all the answers, just a place to start. 

Scott's book list on becoming a more effective learner

Scott Young Why did Scott love this book?

Oakley is best known for her co-instruction of Learning How to Learn, one of the most popular Coursera courses that has had millions of students. This book offers a science-driven perspective for how to get good at math. Oakley walks her talk too, specializing in linguistics she only became a professor of engineering later, despite some difficulties with math.

By Barbara Oakley,

Why should I read it?

1 author picked A Mind For Numbers as one of their favorite books, and they share why you should read it.

What is this book about?

The companion book to COURSERA®'s wildly popular massive open online course "Learning How to Learn"

Whether you are a student struggling to fulfill a math or science requirement, or you are embarking on a career change that requires a new skill set, A Mind for Numbers offers the tools you need to get a better grasp of that intimidating material. Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. She flunked her way through high school math and science courses, before enlisting in the army immediately after graduation. When she saw how her lack of mathematical…


Book cover of Linear Algebra

Ivan Savov Author Of No Bullshit Guide to Linear Algebra

From my list on textbooks for learning linear algebra.

Why am I passionate about this?

I've been teaching math and physics for more than 20 years as a private tutor. During this time, I experimented with different ways to explain concepts to make them easy to understand. I'm a big fan of using concept maps to show the connections between concepts and teaching topics in an integrated manner, including prerequisites and applications. While researching the material for my book, I read dozens of linear algebra textbooks and watched hundreds of videos, looking for the best ways to explain complicated concepts intuitively. I've tried to distill the essential ideas of linear algebra in my book and prepared this list to highlight the books I learned from.

Ivan's book list on textbooks for learning linear algebra

Ivan Savov Why did Ivan love this book?

This book has been a bit of an inspiration for me, and I use it regularly as a reference.

First of all, the content is complete and covers all the standard topics, including complete proofs. I like Heffron's book particularly because of the comprehensive exercises with complete worked solutions. It's hard to over-emphasize the importance of solving problems when learning, and this book has A LOT of them, which makes it an excellent choice for anyone learning on their own.

The author also provides lots of bonus material through his website, including slides, homework assignments, and a video lecture series. Last but not least, the entire book is released under an open license, allowing instructors to adapt and customize the material.

By Jim Hefferon,

Why should I read it?

1 author picked Linear Algebra as one of their favorite books, and they share why you should read it.

What is this book about?

The approach is developmental. Although it covers the requisite material by proving things, it does not assume that students are already able at abstract work. Instead, it proceeds with a great deal of motivation, many computational examples, and exercises that range from routine verifications to (a few) challenges. The goal is, in the context of developing the usual material of an undergraduate linear algebra course, to help raise each student's level of mathematical maturity.


Book cover of Introduction to Linear Algebra

Ivan Savov Author Of No Bullshit Guide to Linear Algebra

From my list on textbooks for learning linear algebra.

Why am I passionate about this?

I've been teaching math and physics for more than 20 years as a private tutor. During this time, I experimented with different ways to explain concepts to make them easy to understand. I'm a big fan of using concept maps to show the connections between concepts and teaching topics in an integrated manner, including prerequisites and applications. While researching the material for my book, I read dozens of linear algebra textbooks and watched hundreds of videos, looking for the best ways to explain complicated concepts intuitively. I've tried to distill the essential ideas of linear algebra in my book and prepared this list to highlight the books I learned from.

Ivan's book list on textbooks for learning linear algebra

Ivan Savov Why did Ivan love this book?

Prof. Strang has been teaching linear algebra at MIT for more than 60 years! This wealth of experience shines through in his book, which covers all the standard concepts using clear and concise explanations that have been polished through time and contain just the right amount of details.

The book is accompanied by a whole course of video lectures available through MIT OpenCourseWare or via YouTube. I learned a lot from Prof. Strang's approach to teaching; in particular, I appreciate the visualization of the fundamental theorem of linear algebra and his explanation of the matrix-vector product from the column picture and the row picture.

If you want to learn linear algebra, you can't go wrong with this classic.

By Gilbert Strang,

Why should I read it?

1 author picked Introduction to Linear Algebra as one of their favorite books, and they share why you should read it.

What is this book about?

Linear algebra is something all mathematics undergraduates and many other students, in subjects ranging from engineering to economics, have to learn. The fifth edition of this hugely successful textbook retains all the qualities of earlier editions, while at the same time seeing numerous minor improvements and major additions. The latter include: • A new chapter on singular values and singular vectors, including ways to analyze a matrix of data • A revised chapter on computing in linear algebra, with professional-level algorithms and code that can be downloaded for a variety of languages • A new section on linear algebra and…


Book cover of Shape: The Hidden Geometry of Information, Biology, Strategy, Democracy, and Everything Else

Philip Nelson Author Of Biological Physics Student Edition: Energy, Information, Life

From my list on have your own science or math ideas.

Why am I passionate about this?

I have taught undergraduate and PhD students physics and biophysics for 36 years, and I never get tired of it. I always look for hot new topics and everyday things that we all see but rarely notice as interesting. I also look for “how could anything like that possibly happen at all?”-type questions and the eureka moment when some idea from physics or math pries off the lid, making a seemingly insoluble problem easy. Finally, I look for the skills and frameworks that will open the most doors to students in their future work.

Philip's book list on have your own science or math ideas

Philip Nelson Why did Philip love this book?

A readable, yet profound tour of what math is really all about.

This book will help you have your own ideas because it opens your eyes to mathematical themes that go to the heart of things you care about yet may never have thought of as mathematical. For me, the analysis of gerrymandering was a sobering prime example.

By Jordan Ellenberg,

Why should I read it?

1 author picked Shape as one of their favorite books, and they share why you should read it.

What is this book about?

An instant New York Times Bestseller!

“Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times  

From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything.

How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning…


Book cover of The Magic of Math: Solving for X and Figuring Out Why

Gary Chartrand Author Of Mathematical Proofs: A Transition to Advanced Mathematics

From my list on if you want to be a mathematician.

Why am I passionate about this?

I have enjoyed mathematics and writing since I’ve been a kid, not only enjoying doing research in mathematics but assisting others to appreciate and enjoy mathematics. Along the way, I’ve gained an interest in the history of mathematics and the mathematicians who created mathematics. Perhaps most important, my primary goal has been to show others how enjoyable mathematics can be. Mathematics has given me the marvelous opportunity to meet and work with other mathematicians who have a similar passion for mathematics.

Gary's book list on if you want to be a mathematician

Gary Chartrand Why did Gary love this book?

Have you ever been to a mathematics lecture where the speaker wore a tuxedo and baffled the audience with his mystifying knowledge of numbers? Well, I have and the speaker was Arthur Benjamin, who combined mathematics and magic. He even displayed this knowledge with Stephen Colbert on his earlier show The Colbert Report. It is our good fortune that he describes much of this mathematical wizardry in this fascinating book. 

By Arthur Benjamin,

Why should I read it?

1 author picked The Magic of Math as one of their favorite books, and they share why you should read it.

What is this book about?

A New York Times Bestseller Arthur Benjamin . . . joyfully shows you how to make nature's numbers dance." ,Bill Nye The Magic of Math is the math book you wish you had in school. Using a delightful assortment of examples,from ice-cream scoops and poker hands to measuring mountains and making magic squares,this book revels in key mathematical fields including arithmetic, algebra, geometry, and calculus, plus Fibonacci numbers, infinity, and, of course, mathematical magic tricks. Known throughout the world as the mathemagician," Arthur Benjamin mixes mathematics and magic to make the subject fun, attractive, and easy to understand for math…


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