Shortlisted for the 2024 British Academy Book Prize

A new history of mathematics focusing on the marginalized voices who propelled the discipline, spanning six continents and thousands of years of untold stories.

A book to make you love math. --Financial Times

Mathematics shapes almost everything we do. But despite its reputation as the study of fundamental truths, the stories we have been told about it are wrong--warped like the sixteenth-century map that enlarged Europe at the expense of Africa, Asia and the Americas. In The Secret Lives of Numbers, renowned math historian Kate Kitagawa and journalist Timothy Revell make the case that the history of math is infinitely deeper, broader, and richer than the narrative we think we know.

Our story takes us from Hypatia, the first great female mathematician, whose ideas revolutionized geometry and who was killed for them--to Karen Uhlenbeck, the first woman to win the Abel Prize, math's Nobel. Along the way we travel the globe to meet the brilliant Arabic scholars of the House of Wisdom, a math temple whose destruction in the Siege of Baghdad in the thirteenth century was a loss arguably on par with that of the Library of Alexandria; Madhava of Sangamagrama, the fourteenth-century Indian genius who uncovered the central tenets of calculus 300 years before Isaac Newton was born; and the Black mathematicians of the Civil Rights era, who played a significant role in dismantling early data-based methods of racial discrimination.

Covering thousands of years, six continents, and just about every mathematical discipline, The Secret Lives of Numbers is an immensely compelling narrative history.

In this trailblazing work from the internet's most empathetic math teacher, Ben Orlin unravels the secrets behind the world's most confounding language.
Math, it is said, is the universal language. But if a language brings people together, why does math make so many of us feel so alone? In Math for English Majors, bestselling author Ben Orlin (Math with Bad Drawings) offers fresh insights for the mathematically perplexed and mathematical masters alike.

As Orlin reveals, the universal language is precisely that: a language. It has nouns (numbers), verbs (calculations), and grammar (algebra). It has funny idioms (exponential), quirky etymologies (squaring), and peculiar ambiguities (PEMDAS). It even has its own form of literature, with equations ranging from the simple wisdom of A2 + B2 = C2 to the startling profundity of eπi + 1 = 0.

Along the way, he shares relatable stories of his own mathematical misunderstandings and epiphanies, as well as the trials and triumphs of his students. And, as always, he sheds further light and levity on the subject with his inept--yet strangely effective--drawings.

A marvelous compendium of mathematical symbols and their fascinating histories

Galileo famously wrote that the book of nature is written in mathematical language. The Language of Mathematics is a wide-ranging and beautifully illustrated collection of short, colorful histories of the most commonly used symbols in mathematics, providing readers with an engaging introduction to the origins, evolution, and conceptual meaning of each one.

In dozens of lively and informative entries, Raúl Rojas shows how today's mathematics stands on the shoulders of giants, mathematicians from around the world who developed mathematical notation through centuries of collective effort. He tells the stories of such figures as al-Khwārizmī, René Descartes, Joseph-Louis Lagrange, Carl Friedrich Gauss, Augustin-Louis Cauchy, Karl Weierstrass, Sofia Kovalevskaya, David Hilbert, and Kenneth Iverson. Topics range from numbers and variables to sets and functions, constants, and combinatorics. Rojas describes the mathematical problems associated with different symbols and reveals how mathematical notation has sometimes been an accidental process. The entries are self-contained and can be read in any order, each one examining one or two symbols, their history, and the variants they may have had over time.

An essential companion for math enthusiasts, The Language of Mathematics shows how mathematics is a living and evolving entity, forever searching for the best symbolism to express relationships between abstract concepts and to convey meaning.

A fascinating look into how the transformative joys of mathematical experience are available to everyone, not just specialists

Math has a reputation for being inaccessible. People think that it requires a special gift or that comprehension is a matter of genes. Yet the greatest mathematicians throughout history, from René Descartes to Alexander Grothendieck, have insisted that this is not the case. Like Albert Einstein, who famously claimed to have no special talent, they said that they had accomplished what they did using ordinary human doubts, weaknesses, curiosity, and imagination.

David Bessis guides us on an illuminating path toward deeper mathematical comprehension, reconnecting us with the mental plasticity we experienced as children. With simple, concrete examples, Bessis shows how mathematical comprehension is integral to the great learning milestones of life, such as learning to see, to speak, to walk, and to eat with a spoon.

Focusing on the deeply human roots of mathematics, Bessis dispels the myths of mathematical genius. He offers an engaging initiation into the experience of math not as a series of discouragingly incomprehensible logic problems but as a physical activity akin to yoga, meditation, or a martial art. This perspective will change the way you think not only about math but also about intelligence, intuition, and everything that goes on inside your head.

REVISED AND UPDATED EDITION

Here is the latest edition of this essential guide to mathematics, an authoritative reference book and timeline that explores the work of history's greatest mathematicians. These include the teasing genius of Pierre de Fermat, who said he knew the answers but rarely gave them up, the helpful guidance of Fibonacci, whose 13th-century compendium for bookkeepers proved to be a valuable tool for the most high-minded mathematicians, and the fractal pattern discovered by Waclaw Sierpinski now used to plan the route a mailman takes. With a glimpse of the abstract landscapes of infinite numbers and multi-dimensional shapes that these incredible minds explore, we can begin to get beyond school-day sums and understand the true power of mathematics.

• 100 milestone facts reveal the greatest mathematical breakthroughs through the eyes of the people who made them.
• Authoritative text, historical imagery, and helpful diagrams are combined with stories and everyday examples to make the complex mathematics accessible to everyone.
• Includes a 12-page foldout Timeline poster which stretches out to 8.5 feet (2.6 meters) long.

Mathematics is part of the bestselling 100 Ponderables series which tackles STEM subjects by partnering lively text about significant milestones with stunning illustrations. Every book includes a timeline/chart poster which puts these milestones in historical context. Perfect for smart kids and curious adults!

An award-winning mathematician--he made me smile and made me feel clever (Peter Frankopan)--shows how we prove what's true, and what to do when we can't

How do we establish what we believe? And how can we be certain that what we believe is true? And how do we convince other people that it is true? For thousands of years, from the ancient Greeks to the Arabic golden age to the modern world, science has used different methods--logical, empirical, intuitive, and more--to separate fact from fiction. But it all had the same goal: find perfect evidence and be rewarded with universal truth.

As mathematician Adam Kucharski shows, however, there is far more to proof than axioms, theories, and laws: when demonstrating that a new medical treatment works, persuading a jury of someone's guilt, or deciding whether you trust a self-driving car, the weighing up of evidence is far from simple. To discover proof, we must reach into a thicket of errors and biases and embrace uncertainty--and never more so than when existing methods fail.

Spanning mathematics, science, politics, philosophy, and economics, this book offers the ultimate exploration of how we can find our way to proof--and, just as importantly, of how to go forward when supposed facts falter.

The quadrivium-the classical curriculum-comprises the four liberal arts of number, geometry, music, and cosmology. It was studied from antiquity to the Renaissance as a way of glimpsing the nature of reality. Geometry is number in space; music is number in time; and cosmology expresses number in space and time. Number, music, and geometry are metaphysical truths: life across the universe investigates them; they foreshadow the physical sciences.

Quadrivium is the first volume to bring together these four subjects in many hundreds of years. Composed of six successful titles in the Wooden Books series-Sacred Geometry, Sacred Number, Harmonograph, The Elements of Music, Platonic & Archimedean Solids, and A Little Book of Coincidence-it makes ancient wisdom and its astonishing interconnectedness accessible to us today.

Beautifully produced in six different colors of ink, Quadrivium will appeal to anyone interested in mathematics, music, astronomy, and how the universe works.

One of the world's most creative mathematicians offers a brilliant and mesmerizing (Popular Science) new way to look at math--focusing on questions, not answers

Winner of the Los Angeles Times Book Prize and a New Scientist Best Book of the Year

Where do we learn math: From rules in a textbook? From logic and deduction? Not really, according to mathematician Eugenia Cheng: we learn it from human curiosity--most importantly, from asking questions. This may come as a surprise to those who think that math is about finding the one right answer, or those who were told that the dumb question they asked just proved they were bad at math. But Cheng shows why people who ask questions like Why does 1 + 1 = 2? are at the very heart of the search for mathematical truth.  

Is Math Real? is a much-needed repudiation of the rigid ways we're taught to do math, and a celebration of the true, curious spirit of the discipline. Written with intelligence and passion, Is Math Real? brings us math as we've never seen it before, revealing how profound insights can emerge from seemingly unlikely sources.   

Shakespeare's era was abuzz with mathematical progress, from the new concept of zero to Galileo's redraft of the heavens. Now, Rob Eastaway uncovers the many surprising ways math shaped Shakespeare's plays--and his world--touring astronomy, code-breaking, color theory, navigation, music, sports, and more.

• How reliable was a pocket sundial?
• Was math illusionist John Dee the real-life Prospero?
• How long was a Scottish mile, and what could you buy for a groat?
• Do Jupiter's moons have a cameo in Cymbeline?
• How did ordinary people use numbers day to day?
• And might Shakespeare have tried that game-changing invention--the pencil?

Full of delights for devotees of both Tudor history and the Bard, Much Ado About Numbers is proof that the arts and sciences have always danced together.

Winner of the Mathematics Association of America's 2021 Euler Book Prize, this is an inclusive vision of mathematics--its beauty, its humanity, and its power to build virtues that help us all flourish

This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart.--James Tanton, Global Math Project

A good book is an entertaining read. A great book holds up a mirror that allows us to more clearly see ourselves and the world we live in. Francis Su's Mathematics for Human Flourishing is both a good book and a great book.--MAA Reviews

For 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.

In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.

A New York Times Notable Book.

The Babylonians invented it, the Greeks banned it, the Hindus worshiped it, and the Church used it to fend off heretics. Now it threatens the foundations of modern physics. For centuries the power of zero savored of the demonic; once harnessed, it became the most important tool in mathematics. For zero, infinity's twin, is not like other numbers. It is both nothing and everything.

In Zero, Science Journalist Charles Seife follows this innocent-looking number from its birth as an Eastern philosophical concept to its struggle for acceptance in Europe, its rise and transcendence in the West, and its ever-present threat to modern physics. Here are the legendary thinkers--from Pythagoras to Newton to Heisenberg, from the Kabalists to today's astrophysicists--who have tried to understand it and whose clashes shook the foundations of philosophy, science, mathematics, and religion. Zero has pitted East against West and faith against reason, and its intransigence persists in the dark core of a black hole and the brilliant flash of the Big Bang. Today, zero lies at the heart of one of the biggest scientific controversies of all time: the quest for a theory of everything.

Math's infinite mysteries unfold in this updated edition of the award-winning The Math Book. Beginning millions of years ago with ancient ant odometers, and moving through time to our modern-day quest for higher dimensions, prolific polymath Clifford Pickover covers major milestones in mathematical history. Among the numerous concepts readers will encounter as they dip into this inviting anthology: cicada-generated prime numbers, magic squares, and the butterfly effect. Each topic is presented in a lavishly illustrated spread, including formulas and real-world applications of the theorems. This reissue includes four new entries: 2013 (Bounded Gaps Between Primes), 2015 (Erdős Discrepancy Problem Solved), 2016 (Sphere Packing in Dimension 8), and 2023 (Einstein Tiles and Beyond). Each topic is presented in a lavishly illustrated spread, including formulas and real-world applications of the theorems.

An entertaining history of mathematics as chronicled through fifty short biographies. Mathematics today is the fruit of centuries of brilliant insights by men and women whose personalities and life experiences were often as extraordinary as their mathematical achievements. This entertaining history of mathematics chronicles those achievements through fifty short biographies that bring these great thinkers to life while making their contributions understandable to readers with little math background. Among the fascinating characters profiled are Isaac Newton (1642-1727), the founder of classical physics and infinitesimal calculus--he frequently quarreled with fellow scientists and was obsessed by alchemy and arcane Bible interpretation; Sophie Germain (1776 - 1831), who studied secretly at the Ecole Polytechnique in Paris, using the name of a previously enrolled male student--she is remembered for her work on Fermat's Last Theorem and on elasticity theory; Emmy Noether (1882 - 1935), whom Albert Einstein described as the most important woman in the history of mathematics--she made important contributions to abstract algebra and in physics she clarified the connection between conservation laws and symmetry; and Srinivasa Ramanujan (1887-1920), who came from humble origins in India and had almost no formal training, yet made substantial contributions to mathematical analysis, number theory, infinite series, and continued fractions.The unusual behavior and life circumstances of these and many other intriguing personalities make for fascinating reading and a highly enjoyable introduction to mathematics.

Learn about the most important mathematical ideas, theorems, and movements in The Math Book.

Part of the fascinating Big Ideas series, this book tackles tricky topics and themes in a simple and easy to follow format. Learn about Math in this overview guide to the subject, brilliant for novices looking to find out more and experts wishing to refresh their knowledge alike! The Math Book brings a fresh and vibrant take on the topic through eye-catching graphics and diagrams to immerse yourself in.

This captivating book will broaden your understanding of Math, with:

- More than 85 ideas and events key to the development of mathematics
- Packed with facts, charts, timelines and graphs to help explain core concepts
- A visual approach to big subjects with striking illustrations and graphics throughout
- Easy to follow text makes topics accessible for people at any level of understanding

The Math Book is a captivating introduction to the world's most famous theorems, mathematicians and movements, aimed at adults with an interest in the subject and students wanting to gain more of an overview. Charting the development of math around the world from Babylon to Bletchley Park, this book explains how math help us understand everything from patterns in nature to artificial intelligence.

Your Math Questions, Simply Explained

What is an imaginary number? Can two parallel lines ever meet? How can math help us predict the future? This engaging overview explores answers to big questions like these and how they contribute to our understanding of math. If you thought it was difficult to learn about topics like algebra and statistics, The Math Book presents key information in an easy to follow layout. Learn about the history of math, from ancient ideas such as magic squares and the abacus to modern cryptography, fractals, and the final proof of Fermat's Last Theorem.

The Big Ideas Series

With millions of copies sold worldwide, The Math Book is part of the award-winning Big Ideas series from DK. The series uses striking graphics along with engaging writing, making big topics easy to understand.

The word 'mathematics' comes from the Greek word mathema, meaning knowledge or learning. And indeed mathematics is at the heart of almost all processes and patterns that occur in the modern world. Yet many still find the discipline hard to fathom. Fibonacci's Rabbits solves this problem in bite-sized 'hops', describing the 50 most critical discoveries and revolutionary moments in the history of mathematics from Ancient Greece to the present day.

- Lucid exploration of the story of mathematics through an examination of 50 of its greatest discoveries
- Fully illustrated throughout, featuring clear explanations of the context, procedures, results and implications of each discovery
- The discoveries cover a broad range of topical concerns
- Part of the Great Experiments Series

One of the world's most creative mathematicians offers a brilliant and mesmerizing (Popular Science) new way to look at math--focusing on questions, not answers

Winner of the Los Angeles Times Book Prize and a New Scientist Best Book of the Year

Where do we learn math: From rules in a textbook? From logic and deduction? Not really, according to mathematician Eugenia Cheng: we learn it from human curiosity--most importantly, from asking questions. This may come as a surprise to those who think that math is about finding the one right answer, or those who were told that the dumb question they asked just proved they were bad at math. But Cheng shows why people who ask questions like Why does 1 + 1 = 2? are at the very heart of the search for mathematical truth.  

Is Math Real? is a much-needed repudiation of the rigid ways we're taught to do math, and a celebration of the true, curious spirit of the discipline. Written with intelligence and passion, Is Math Real? brings us math as we've never seen it before, revealing how profound insights can emerge from seemingly unlikely sources.   

What was the great and golden secret known to Leonardo Da Vinci, Kepler, Plato and the ancient magicians? Why were they forbidden to reveal it? Can there really be a key to nature and life itself? In this small but compact volume divine proportion supersleuth Dr Olsen unravels perhaps the greatest mystery of all time, a code that seems to underly life, the universe and everything, a pattern we instinctively recognise as beautiful, and which nature herself uses at every scale. WOODEN BOOKS US EDITIONS. Small books, BIG ideas.

Inthe tradition of Fermat's Enigma and Pi, Marcus du Sautoy tells the illuminating, authoritative, and engagingstory of Bernhard Reimann and the ongoing quest tocapture the holy grail of mathematics--the formula to predict prime numbers.Oliver Sacks, author of The Man Who Mistook His Wife for a Hat, calls TheMusic of the Primes an amazing book. . . . I could not put it down once Ihad started. Simon Winchester, author of The Professor and the Madman, writes, this fascinating account, decoding the inscrutable language of themathematical priesthood, is written like the purest poetry. Marcus du Sautoy's enthusiasm shines through every line of this hymnto the joy of high intelligence, illuminating as it does so even the darkestcorners of his most arcane universe.

There is a logical flaw in the statistical methods used across experimental science. This fault is not a minor academic quibble: it underlies a reproducibility crisis now threatening entire disciplines. In an increasingly statistics-reliant society, this same deeply rooted error shapes decisions in medicine, law, and public policy with profound consequences. The foundation of the problem is a misunderstanding of probability and its role in making inferences from observations.

Aubrey Clayton traces the history of how statistics went astray, beginning with the groundbreaking work of the seventeenth-century mathematician Jacob Bernoulli and winding through gambling, astronomy, and genetics. Clayton recounts the feuds among rival schools of statistics, exploring the surprisingly human problems that gave rise to the discipline and the all-too-human shortcomings that derailed it. He highlights how influential nineteenth- and twentieth-century figures developed a statistical methodology they claimed was purely objective in order to silence critics of their political agendas, including eugenics.

Clayton provides a clear account of the mathematics and logic of probability, conveying complex concepts accessibly for readers interested in the statistical methods that frame our understanding of the world. He contends that we need to take a Bayesian approach--that is, to incorporate prior knowledge when reasoning with incomplete information--in order to resolve the crisis. Ranging across math, philosophy, and culture, Bernoulli's Fallacy explains why something has gone wrong with how we use data--and how to fix it.

Uncover the beauty of the divine proportion all around you with this meticulously researched and stunningly illustrated reference.

From the pyramids of Giza, to quasicrystals, to the proportions of the human face, the golden ratio has an infinite capacity to generate shapes with exquisite properties. In The Golden Ratio: The Divine Beauty of Mathematics, Author Gary Meisner examines the presence of this divine number in art and architecture throughout history, as well as its ubiquity among plants, animals, and even the cosmos. This gorgeous, display-worthy volume features:

• Lay-flat dimensions that closely approximate the golden ratio
• The results of the author's twenty-year investigation and collaboration with thousands of people across the globe in dozens of professions and walks of life
• Clear, enlightening, and entertaining commentary
• Over 250 captivating color images, including illustrations by Venezuelan artist and architect Rafael Araujo, photographs of nature and architecture, and famous artwork

The evidence closes the gaps of understanding related to many claims of the golden ratio's appearances and applications, and presents new findings to take our knowledge further yet.

Whoever you are, and whatever you may know about this topic, you'll find something new, interesting, and informative in this book, and may find yourself challenged to see, apply, and share this unique number of mathematics and science in new ways.