Math Games with Bad Drawings: 75 1/4 Simple, Challenging, Go-Anywhere Games―And Why They Matter 

Ben Orlin

This ultimate game chest draws on mathematical curios, childhood classics, and soon-to-be classics, each hand-chosen to be (1) fun, (2) thought-provoking, and (3) easy to play. 

The Complete Guide to Absolutely Everything (Abridged): Adventures in Math and Science

Adam Rutherford, and Hannah Fry 

Hannah Fry's Numberphile video  about the book 

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Thinking Better - The Art of the Shortcut

Marcus Du Sautoy

His interview  about the book 

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Chasing Rabbits

Sunil Singh

His Blog Post about the book

Infinite Powers

Steven Strogatz

Steven Strogatz’s brilliantly creative, down‑to‑earth history shows that calculus is not about complexity; it’s about simplicity. It harnesses an unreal number—infinity—to tackle real‑world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel miraculous.

The Great Unknown

Marcus Du Sautoy

The Great Unknown challenges us to consider big questions—about the nature of consciousness, what came before the big bang, and what lies beyond our horizons—while taking us on a virtuoso tour of the great breakthroughs of the past and celebrating the men and women who dared to tackle the seemingly impossible and had the imagination to come up with new ways of seeing the world.

A new kind of Science

Stephen Wolfram

Wolfram uses his approach to tackle a remarkable array of fundamental problems in science, from the origins of apparent randomness in physical systems to the development of complexity in biology, the ultimate scope and limitations of mathematics, the possibility of a truly fundamental theory of physics, the interplay between free will and determinism, and the character of intelligence in the universe.

A Mathematician's Apology

G. H Hardy

G. H. Hardy was one of this century's finest mathematical thinkers, renowned among his contemporaries as a 'real mathematician ... the purest of the pure'. This 'Apology', written in 1940, offers a brilliant and engaging account of mathematics as very much more than a science; when it was first published, Graham Greene hailed it alongside Henry James's notebooks as 'the best account of what it was like to be a creative artist'.

Geometry Snacks

Ed Southell and Vincent Pantaloni

The idea behind the book is to show that problems can be solved in several ways, which means that, say the authors: “once a puzzle is solved, there are further surprises, insights and challenges to be had..

Cut the Knot

Alexander Bogomolny

Cut the Knot is a book of probability riddles curated to challenge the mind and expand mathematical and logical thinking skills. First housed on cut-the-knot.org, these puzzles and their solutions represent the efforts of great minds around the world.

Alan Turing: The Enigma

Andrew Hodges

The Enigma, the story of the British computer pioneer and codebreaker Alan Turing. Critically acclaimed at the time — Donald Michie in New Scientist called it ""marvellous and faithful"" — the book was chosen by Michael Holroyd as part of a list of 50 'essential' books

Thinking Classroom

Peter Liljedahl

Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom.

Math Recess

Sunil Singh and Dr Christ Brownell

In the theme of recess, where a treasure chest of balls, ropes, and toys would be kept for children to play with, this book holds a deep and imaginative collection of fun mathematical ideas, puzzles, and problems. 

God created the integers

Stephen Hawking

This extensive anthology allows readers to peer into the mind of genius by providing them with excerpts from the original mathematical proofs and results. It also helps them understand the progression of mathematical thought and the very foundations of our present-day technologies.

The Princeton Companion to Maths

Timothy Gowers

This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries, written especially for this book by some of the world's leading mathematicians.

Pi of Life

Sunil Singh

Blending classic wisdom with over 100 pop culture references, Singh whimsically switches the lens in this book from the traditional society teaching math to a new and bold math teaching society. With charming buoyancy and intimacy, he takes us on an emotional and surprising journey through the deepest goldmine of mathematics-our personal happiness.

Math with Bad Drawings

Ben Orlin

Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician.

The Mathematics of Love

Hannah Fry

Her TED talk on mathematics of love

The Joy of x

Steven Strogatz

The Joy of x, Steven Strogatz expands on his hit New York Times series to explain the big ideas of math gently and clearly, with wit, insight, and brilliant illustrations.

Finding Moonshine

Marcus Du Sautoy

This is the story of how humankind has come to its understanding of the bizarre world of symmetry – a subject of fundamental significance to the way we interpret the world around us.

Uncle Petros and Goldbach Conjecture

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Uncle Petros is a family joke - an aging recluse in a suburb of Athens, playing chess and gardening. His young nephew soon discovers his uncle was once a celebrated mathematician who staked all on solving the problem of Goldbach's Conjecture.

Things to make and do in the 4D

Matt Parker

Things to Make and Do in the Fourth Dimension: A Mathematician's Journey Through Narcissistic Numbers, Optimal Dating Algorithms, at Least Two Kinds of Infinity, and More

The Elements of Euclid

Oliver Byrne

Nearly a century before Mondrian made geometrical red, yellow, and blue lines famous, 19th century mathematician Oliver Byrne employed the color scheme for the figures and diagrams in his most unusual 1847 edition of Euclid's Elements.

Math Art

Stephen Ornes

The worlds of visual art and mathematics come together in this spectacular volume by award-winning writer Stephen Ornes. He explores the growing sensation of math art, presenting more than 80 pieces, including a crocheted, colorful representation of non-Euclidian geometry that looks like sea coral and a 65-ton, 28-foot-tall bronze sculpture covered in a space-filling curve.

Why study Mathemativs

Vicky Neale

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Women in Science

Rachel Ignotofsky 

A charmingly illustrated and educational book, New York Times best seller Women in Science highlights the contributions of fifty notable women to the fields of science, technology, engineering, and mathematics (STEM) from the ancient to the modern world

The Math Book

Clifford A. Pickover

Math's infinite mysteries unfold in this paperback edition of the bestselling TheMath Book. Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, prolific polymath Clifford Pickover covers 250 milestones in mathematical history. 

The Colossal Book of Short Puzzles

Martin Gardner

The Colossal Book of Mathematics, have been selected by Gardner for their illuminating; and often bewildering; solutions. Filled with over 300 illustrations, this new volume even contains nine new mathematical gems that Gardner, now ninety, has been gathering for the last decade.

Mathematics Magic and Mystery

Martin Gardner

Why do card tricks work? How can magicians do astonishing feats of mathematics mentally? Why do stage "mind-reading" tricks work? As a rule, we simply accept these tricks and "magic" without recognizing that they are really demonstrations of strict laws based on probability, sets, number theory, topology, and other branches of mathematics. This is the first book-length study of this fascinating branch of recreational mathematics.

Humble Pi

Matt Parker

Matt Parker shows us the bizarre ways maths trip us up, and what this reveals about its essential place in our world. Mathematics doesn't have good 'people skills', but we would all be better off, he argues, if we saw it as a practical ally. This book shows how, by making maths our friend, we can learn from its pitfalls.

Hello World

Hannah Fry

Hannah Fry takes us on a tour of the good, the bad and the downright ugly of the algorithms that surround us. In Hello World she lifts the lid on their inner workings, demonstrates their power, exposes their limitations, and examines whether they really are an improvement on the humans they are replacing

Is God a Mathematician?

Mario Livio

Explores the plausibility of mathematical answers to puzzles in the physical world, in an accessible exploration of the lives and thoughts of such figures as Archimedes, Galileo, and Newton. 

Logicomix

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This exceptional graphic novel recounts the spiritual odyssey of philosopher Bertrand Russell. In his agonized search for absolute truth, Russell crosses paths with legendary thinkers like Gottlob Frege, David Hilbert, and Kurt Gödel, and finds a passionate student in the great Ludwig Wittgenstein.

Limitless Mind

Jo Boaler

In Limitless Mind, she explodes these myths and reveals the six keys to unlocking our boundless learning potential. Her research proves that those who achieve at the highest levels do not do so because of a genetic inclination toward any one skill but because of the keys that she reveals in the book. 

Fermat's Last Theorem

Simon Singh

In 'Fermat's Last Theorem' Simon Singh has crafted a remarkable tale of intellectual endeavour spanning three centuries, and a moving testament to the obsession, sacrifice and extraordinary determination of Andrew Wiles: one man against all the odds.

How to bake Pi

Eugenia Cheng

In How to Bake Pi, math professor Eugenia Cheng provides an accessible introduction to the logic and beauty of mathematics, powered, unexpectedly, by insights from the kitchen: we learn, for example, how the béchamel in a lasagna can be a lot like the number 5, and why making a good custard proves that math is easy but life is hard.

The Wonder Book of Geometry

David Acheson

David Acheson takes the reader on a highly illustrated tour through the history of geometry, from ancient Greece to the present day. He emphasizes throughout elegant deduction and practical applications, and argues that geometry can offer the quickest route to the whole spirit of mathematics at its
best.

The Nature of Mathematics

Karl J. Smith

Karl Smith introduces you to proven problem-solving techniques and shows you how to use these techniques to solve unfamiliar problems. best.

A History of Mathematics

Victor J. Katz

A History of Mathematics, 3rd Edition, provides students with a solid background in the history of mathematics and focuses on the most important topics for today’s elementary, high school, and college curricula. 

The Simpsons and their Mathematical Secrets

Simon Singh

Simon Singh reveals, underscores the brilliance of the shows' writers, many of whom have advanced degrees in mathematics in addition to their unparalleled sense of humor.

Beyond Infinity

Eugenia Cheng

Beyond Infinity: An expedition to the outer limits of the mathematical universe

Tales of Impossibility

David Richeson

Tales of Impossibility recounts the intriguing story of the so-called problems of antiquity, four of the most famous and studied questions in the history of mathematics.

Math without Numbers

Milo Beckman

Math Without Numbers is a vivid, conversational, and wholly original guide to the three main branches of abstract math—topology, analysis, and algebra—which turn out to be surprisingly easy to grasp.

Change is the only Constant

Ben Orlin

Change is the Only Constant is an engaging and eloquent exploration of the intersection between calculus and daily life, complete with Orlin's sly humor and memorably bad drawings. 

1089 + all that

David Acheson

David Acheson's extraordinary little book makes mathematics accessible to everyone. From very simple beginnings he takes us on a thrilling journey to some deep mathematical ideas. On the way, via Kepler and Newton, he explains what calculus really means, gives a brief history of pi, and even takes us to chaos theory and imaginary numbers.

Do Dice Play God?

Ian Stewart

From forecasting, to medical research, to figuring out how to win Let's Make a Deal, Do Dice Play God? is a surprising and satisfying tour of what we can know, and what we never will.

Mathematics for Human Flourishing

Francis Su

or mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity’s most beautiful ideas.