My favorite books 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.


I wrote...

The Wonder Book of Geometry: A Mathematical Story

By David Acheson,

Book cover of The Wonder Book of Geometry: A Mathematical Story

What is my book about?

What is the quickest route to mathematics at its best? 

In this book, I try to show how geometry can provide the answer, by drawing on its rich history, quirky personalities, and practical applications. Throughout, I highlight elegant methods of deduction and the most surprising results, and claim that, in this way, anyone can begin to enjoy some of the wonders of mathematics within just half an hour of starting.

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The books I picked & why

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

David Acheson Why did I 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 Why did I 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 Teaching and Learning Algebra

David Acheson Why did I love this book?

This may seem an odd choice, but as a maths popularizer I need to know all that I can about why some people find the main elements of the subject so difficult. I found Doug French's book exceptionally helpful in this respect, even though it is aimed principally at high school teachers. This is partly because he focuses throughout on the most important mathematical ideas and difficulties. Moreover, the scope is wider than the title suggests, for he also ventures imaginatively into both geometry and calculus.

By Doug French,

Why should I read it?

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

What is this book about?

Continuum has repackaged some of its key academic backlist titles to make them available at a more affordable price. These reissues will have new ISBNs, distinctive jackets and strong branding. They cover a range of subject areas that have a continuing student sale and make great supplementary reading more accessible. A comprehensive, authoritative and constructive guide to teaching algebra.


Book cover of Makers of Mathematics

David Acheson Why did I 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 Why did I 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.


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Alpha Max

By Mark A. Rayner,

Book cover of Alpha Max

Mark A. Rayner Author Of Alpha Max

New book alert!

Why am I passionate about this?

Author Human shaped Pirate hearted Storytelling addict Creatively inclined

Mark's 3 favorite reads in 2023

What is my book about?

Maximilian Tundra is about to have an existential crisis of cosmic proportions.

When a physical duplicate of him appears in his living room, wearing a tight-fitting silver lamé unitard and speaking with an English accent, Max knows something bad is about to happen. Bad doesn’t cover it. Max discovers he’s the only human being who can prevent the end of the world, and not just on his planet! In the multiverse, infinite Earths will be destroyed.

Alpha Max

By Mark A. Rayner,

What is this book about?

★★★★★ "Funny, yet deep, this is definitely worth venturing into the multiverse for."

Amazing Stories says: "Snarky as Pratchet, insightful as Stephenson, as full of scathing social commentary as Swift or Voltaire, and weirdly reminiscent of LeGuin, Alpha Max is the only multiverse novel you need this month, or maybe ever."

Maximilian Tundra is about to have an existential crisis of cosmic proportions.

When a physical duplicate of him appears in his living room, wearing a tight-fitting silver lamé unitard and speaking with an English accent, Max knows something bad is about to happen. Bad doesn’t cover it. Max discovers…


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