Marcus du Sautoy – författare

*A Financial Times and Waterstones Book of the Year 2025* Many artists are unaware of the mathematics that bubble beneath their craft, while some consciously use it for inspiration. Our instincts might tell us that these two subjects are incompatible forces with nothing in common, but what if we’re wrong? Marcus du Sautoy, acclaimed mathematician and Simonyi Professor for the Public Understanding of Science at the University of Oxford, looks to art, music, design and literature to uncover the key mathematical structures that underpin both human creativity and the natural world.Blueprints takes us from the earliest stone circles to the modernist architecture of Le Corbusier, from Bach’s circular compositions to Radiohead’s disruptive soundscapes, and from Shakespeare’s hidden numerical clues to the Dada artists who embraced randomness. Instead of polar opposites we find a complementary relationship that spans a vast historical and geographic landscape.Whether we are searching for meaning in an abstract painting or deciphering poetry, there are blueprints everywhere: prime numbers, symmetry, fractals and the weirder worlds of Hamiltonian cycles and hyperbolic geometry. Nature similarly exploits these structures to achieve the wonders of our universe.In this innovative and delightfully bold exploration of creativity, Marcus explains how we make art, why a creative mindset is vital for discovering new mathematics and how a fundamental connection to the natural world intrinsically links these two subjects.‘Blueprints is an extraordinary book which shows us how mathematics and art are connected through structures. Du Sautoy shows us how to bridge the divide of science and the humanities and proves that we can only face and solve the big challenges of the twenty-first century if we go beyond the fear of pooling knowledge’ Hans Ulrich Obrist, Artistic Director, Serpentine Galleries

*A Financial Times and Waterstones Book of the Year 2025* Many artists are unaware of the mathematics that bubble beneath their craft, while some consciously use it for inspiration. Our instincts might tell us that these two subjects are incompatible forces with nothing in common, but what if we’re wrong? Marcus du Sautoy, acclaimed mathematician and Simonyi Professor for the Public Understanding of Science at the University of Oxford, looks to art, music, design and literature to uncover the key mathematical structures that underpin both human creativity and the natural world.Blueprints takes us from the earliest stone circles to the modernist architecture of Le Corbusier, from Bach’s circular compositions to Radiohead’s disruptive soundscapes, and from Shakespeare’s hidden numerical clues to the Dada artists who embraced randomness. Instead of polar opposites we find a complementary relationship that spans a vast historical and geographic landscape.Whether we are searching for meaning in an abstract painting or deciphering poetry, there are blueprints everywhere: prime numbers, symmetry, fractals and the weirder worlds of Hamiltonian cycles and hyperbolic geometry. Nature similarly exploits these structures to achieve the wonders of our universe.In this innovative and delightfully bold exploration of creativity, Marcus explains how we make art, why a creative mindset is vital for discovering new mathematics and how a fundamental connection to the natural world intrinsically links these two subjects.‘Blueprints is an extraordinary book which shows us how mathematics and art are connected through structures. Du Sautoy shows us how to bridge the divide of science and the humanities and proves that we can only face and solve the big challenges of the twenty-first century if we go beyond the fear of pooling knowledge’ Hans Ulrich Obrist, Artistic Director, Serpentine Galleries

'BRILLIANTLY CLEAR AND CAPTIVATING PROSE' STEPHEN FRY A WATERSTONES BOOK OF YEAR 2023 An award-winning mathematician explores the maths behind the games we love and why we love to play them. Where should you move first in Connect 4? Which property is best in Monopoly? How can pi help you win Rock Paper Scissors? Crossing oceans, continents and millennia, award-winning mathematician Marcus du Sautoy explores how maths and games have always been deeply intertwined. As well as being integral to human psychology and culture throughout the ages, games provided the first opportunities for deep mathematical insight into the world. This grand adventure teaches us how to strategise, play better and win more often.‘The subject matter is fun (I mean, isn’t it quite literally the definition of fun?) and du Sautoy’s enthusiasm is infectious’ THE SUNDAY TIMES‘Lively, creative and humane – exactly as one would expect from Marcus du Sautoy’ TIM HARFORD, author of How To Make The World Add Up'A delightful and addictive celebration of games. You’ll keep wanting one more go' DARA Ó BRIAIN, author of Is There Anybody Out There?‘You do not need to be a seasoned player nor a skilled mathematician to relish this enchanting read. However, this book may just encourage you to become one or the other’ REINER KNIZIA, award-winning game designer

‘Brilliant and fascinating. No one is better at making the recondite accessible and exciting’ Bill Bryson Britain’s most famous mathematician takes us to the edge of knowledge to show us what we cannot know. Is the universe infinite?Do we know what happened before the Big Bang?Where is human consciousness located in the brain?And are there more undiscovered particles out there, beyond the Higgs boson?In the modern world, science is king: weekly headlines proclaim the latest scientific breakthroughs and numerous mathematical problems, once indecipherable, have now been solved. But are there limits to what we can discover about our physical universe?In this very personal journey to the edges of knowledge, Marcus du Sautoy investigates how leading experts in fields from quantum physics and cosmology, to sensory perception and neuroscience, have articulated the current lie of the land. In doing so, he travels to the very boundaries of understanding, questioning contradictory stories and consulting cutting edge data.Is it possible that we will one day know everything? Or are there fields of research that will always lie beyond the bounds of human comprehension? And if so, how do we cope with living in a universe where there are things that will forever transcend our understanding?In What We Cannot Know, Marcus du Sautoy leads us on a thought-provoking expedition to the furthest reaches of modern science. Prepare to be taken to the edge of knowledge to find out if there’s anything we truly cannot know.

This new book from the author of 'The Music of the Primes' combines a personal insight into the mind of a working mathematician with the story of one of the biggest adventures in mathematics: the search for symmetry.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.Our eyes and minds are drawn to symmetrical objects, from the sphere to the swastika, the pyramid to the pentagon. Symmetry indicates a dynamic relationship or connection between objects, and it is all-pervasive: in chemistry and physics the concept of symmetry explains the structure of crystals or the theory of fundamental particles; in evolutionary biology, the natural world exploits symmetry in the fight for survival; symmetry and the breaking of symmetry are central to ideas in art, architecture and music; the mathematics of symmetry is even exploited in industry, for example to find efficient ways to store more music on a CD or to keep your mobile phone conversation from cracking up through interference.Marcus du Sautoy constantly strives to push his own boundaries to find ways in which to share the excitement of mathematics with a broader audience; this book charts his own personal quest to master one of the most innate and intangible concepts, and to demonstrate the intricacy and beauty of the world around us.

From the author of ‘The Music of the Primes’ and ‘Finding Moonshine’ comes a short, lively book on five mathematical problems that just refuse be solved – and on how many everyday problems can be solved by maths.Every time we download a song from Itunes, take a flight across the Atlantic or talk on our mobile phones, we are relying on great mathematical inventions. Maths may fail to provide answers to various of its own problems, but it can provide answers to problems that don't seem to be its own – how prime numbers are the key to Real Madrid's success, to secrets on the Internet and to the survival of insects in the forests of North America.In ‘The Number Mysteries’, Marcus du Sautoy explains how to fake a Jackson Pollock; how to work out whether or not the universe has a hole in the middle of it; how to make the world's roundest football. He shows us how to see shapes in four dimensions – and how maths makes you a better gambler. He tells us about the quest to predict the future – from the flight of asteroids to an impending storm, from bending a ball like Beckham to predicting population growth.It's a book to dip in to; a book to challenge and puzzle – and a book that gives us answers.

‘Du Sautoy’s discussion of computer creativity is fascinating’ Observer CAN MACHINES BE CREATIVE? In The Creativity Code, Marcus du Sautoy examines the nature of creativity, asking how much of our emotional response to art is a product of our brains reacting to pattern and structure, and exactly what it is to be creative in mathematics, art, language and music.Exploring how long it might be before machines compose a symphony or paint a masterpiece, and whether they might jolt us into being more imaginative in turn, The Creativity Code is a fascinating and very different exploration into the essence of what it means to be human.

How do you remember more and forget less? How can you earn more and become more creative just by moving house? And how do you pack a car boot most efficiently? This is your shortcut to the art of the shortcut.Mathematics is full of better ways of thinking, and with over 2,000 years of knowledge to draw on, Oxford mathematician Marcus du Sautoy interrogates his passion for shortcuts in this fresh and fascinating guide. After all, shortcuts have enabled so much of human progress, whether in constructing the first cities around the Euphrates 5,000 years ago, using calculus to determine the scale of the universe or in writing today’s algorithms that help us find a new life partner.As well as looking at the most useful shortcuts in history – such as measuring the circumference of the earth in 240 BC to diagrams that illustrate how modern GPS works – Marcus also looks at how you can use shortcuts in investing or how to learn a musical instrument to memory techniques. He talks to, among many, the writer Robert MacFarlane, cellist Natalie Clein and the psychologist Suzie Orbach, asking whether shortcuts are always the best idea and, if so, when they use them.With engaging puzzles and conundrums throughout to illustrate the shortcut’s ability to find solutions with speed, Thinking Better offers many clever strategies for daily complex problems.

'BRILLIANTLY CLEAR AND CAPTIVATING PROSE' STEPHEN FRY A WATERSTONES BOOK OF YEAR 2023 An award-winning mathematician explores the maths behind the games we love and why we love to play them. Where should you move first in Connect 4?What is the best property in Monopoly?And how can pi help you win rock paper scissors?Spanning millennia, oceans and continents, countries and cultures, Around the World in 80 Games gleefully explores how mathematics and games have always been deeply intertwined. Marcus du Sautoy investigates how games provided the first opportunities for deep mathematical insight into the world, how understanding maths can help us play games better, and how both maths and games are integral to human psychology and culture.For as long as there have been people, there have been games, and for nearly as long, we have been exploring and discovering mathematics. A grand adventure, Around the World in 80 Games teaches us not just how games are won, but how they, and the maths behind them, shape who we are. 'A delightful and addictive celebration of games. You’ll keeping wanting one more go' DARA Ó BRIAIN ‘Whether your game is Go, Dungeons and Dragons, or Chocolate Chilli Roulette, you'll find this book adorable. It's lively, creative and humane – exactly as one would expect from Marcus du Sautoy’ TIM HARFORD, author of How To Make The World Add Up

'BRILLIANTLY CLEAR AND CAPTIVATING PROSE' STEPHEN FRY A WATERSTONES BOOK OF YEAR 2023 An award-winning mathematician explores the maths behind the games we love and why we love to play them. Where should you move first in Connect 4?Which property is best in Monopoly?How can pi help you win Rock Paper Scissors?Crossing oceans, continents and millennia, award-winning mathematician Marcus du Sautoy explores how maths and games have always been deeply intertwined. As well as being integral to human psychology and culture throughout the ages, games provided the first opportunities for deep mathematical insight into the world. This grand adventure teaches us how to strategise, play better and win more often.‘The subject matter is fun (I mean, isn’t it quite literally the definition of fun?) and du Sautoy’s enthusiasm is infectious’ THE SUNDAY TIMES'A delightful and addictive celebration of games. You’ll keep wanting one more go' DARA Ó BRIAIN, author of Is There Anybody Out There?‘Lively, creative and humane – exactly as one would expect from Marcus du Sautoy’ TIM HARFORD, author of How To Make The World Add Up‘You do not need to be a seasoned player nor a skilled mathematician to relish this enchanting read. However, this book may just encourage you to become the one or the other’ REINER KNIZIA, award-winning game designer

*A Financial Times and Waterstones Book of the Year 2025* Many artists are unaware of the mathematics that bubble beneath their craft, while some consciously use it for inspiration. Our instincts might tell us that these two subjects are incompatible forces with nothing in common, but what if we’re wrong? Marcus du Sautoy, acclaimed mathematician and Simonyi Professor for the Public Understanding of Science at the University of Oxford, looks to art, music, design and literature to uncover the key mathematical structures that underpin both human creativity and the natural world.Blueprints takes us from the earliest stone circles to the modernist architecture of Le Corbusier, from Bach’s circular compositions to Radiohead’s disruptive soundscapes, and from Shakespeare’s hidden numerical clues to the Dada artists who embraced randomness. Instead of polar opposites we find a complementary relationship that spans a vast historical and geographic landscape.Whether we are searching for meaning in an abstract painting or deciphering poetry, there are blueprints everywhere: prime numbers, symmetry, fractals and the weirder worlds of Hamiltonian cycles and hyperbolic geometry. Nature similarly exploits these structures to achieve the wonders of our universe.In this innovative and delightfully bold exploration of creativity, Marcus explains how we make art, why a creative mindset is vital for discovering new mathematics and how a fundamental connection to the natural world intrinsically links these two subjects.‘Blueprints is an extraordinary book which shows us how mathematics and art are connected through structures. Du Sautoy shows us how to bridge the divide of science and the humanities and proves that we can only face and solve the big challenges of the twenty-first century if we go beyond the fear of pooling knowledge’ Hans Ulrich Obrist, Artistic Director, Serpentine Galleries

Alone in a cube that's glowing in the darkness, X is content within its little universe of infinite thought. This solitude is disturbed by the appearance of Y, who insists on exposing X to the richness of the physical world. Each begins to long for what the other has, luring them into a strange loop.In this play for two variables, Marcus du Sautoy and Victoria Gould use mathematics and theatre to navigate the furthest reaches of our world. Through a series of surreal episodes, X and Y tackle some of life's greatest questions: where did the universe come from, does time have an end, do we have free will?I is a Strange Loop was first performed by the authors at the Barbican Pit, London, in March 2019.'I is a Strange Loop is a play that plays with ideas, concepts, abstractions and relationships that are, usually, hidden from the sight of ordinary mortals, articulating the ineffable, incarnating the incorporeal, revealing the inconceivable. It makes us feel we know a great deal more than we do. It is also very funny, utterly compelling and marvellously human.' Simon McBurney

A pro-p group is the inverse limit of some system of finite p-groups, that is, of groups of prime-power order where the prime - conventionally denoted p - is fixed. Thus from one point of view, to study a pro-p group is the same as studying an infinite family of finite groups; but a pro-p group is also a compact topological group, and the compactness works its usual magic to bring 'infinite' problems down to manageable proportions. The p-adic integers appeared about a century ago, but the systematic study of pro-p groups in general is a fairly recent development. Although much has been dis­ covered, many avenues remain to be explored; the purpose of this book is to present a coherent account of the considerable achievements of the last several years, and to point the way forward. Thus our aim is both to stimulate research and to provide the comprehensive background on which that research must be based. The chapters cover a wide range. In order to ensure the most authoritative account, we have arranged for each chapter to be written by a leading contributor (or contributors) to the topic in question. Pro-p groups appear in several different, though sometimes overlapping, contexts.

A pro-p group is the inverse limit of some system of finite p-groups, that is, of groups of prime-power order where the prime - conventionally denoted p - is fixed. Thus from one point of view, to study a pro-p group is the same as studying an infinite family of finite groups; but a pro-p group is also a compact topological group, and the compactness works its usual magic to bring 'infinite' problems down to manageable proportions. The p-adic integers appeared about a century ago, but the systematic study of pro-p groups in general is a fairly recent development. Although much has been dis­ covered, many avenues remain to be explored; the purpose of this book is to present a coherent account of the considerable achievements of the last several years, and to point the way forward. Thus our aim is both to stimulate research and to provide the comprehensive background on which that research must be based. The chapters cover a wide range. In order to ensure the most authoritative account, we have arranged for each chapter to be written by a leading contributor (or contributors) to the topic in question. Pro-p groups appear in several different, though sometimes overlapping, contexts.

20 years later The Music of the Primes is still a groundbreaking popular science book. This new edition features updates from the author and a foreword by actor and director, Simon McBurney.In 1859, the German mathematician Bernhard Riemann presented a paper to the Berlin Academy which would change the history of mathematics. The subject was the strange and enigmatic prime numbers. At the heart of the presentation was an idea, a hypothesis, that Riemann had not yet proved but which has come to obsess mathematicians for the last 150 years. No one knows if he ever found the proof; on his death his housekeeper burnt all the personal papers. Today, the hypothesis is considered by many the holy grail of mathematics but has significance far beyond maths.At the of the heart of the enigma is a prize much larger than just intellectual glory; not only is there a $1 million reward for the person who can crack it but also is the key to all banking and e-commerce security. It is the idea that brings together many other areas of science and has ramifications within Quantum Mechanics, Chaos Theory and the future of computing.In 'The Music of the Primes', one of Britain's leading mathematicians, Marcus du Sautoy, recounts the history of these elusive numbers. It is a story of eccentric and brilliant men, last minute escapes from death, strange journeys, dangerous ideas and the unquenchable thirst for knowledge that drove some men mad and others to unparalleled glory. du Sautoy also tells a coruscating history of Mathematics. Combining in-depth knowledge as a practitioner in the field with narrative flair, this book will become a classic of popular science writing and will rank alongside 'Chaos' and 'Fermat's Last Theorem' within the genre.The Riemann Hypothesis:• Compared to Fermat's Last Theorem, the Hypothesis is mathematicians’ real Holy Grail• Is the only problem from Hilbert's 1900 Centenary Problems that was unproved in the 20th century and now has a $1 million reward for the person who cracks it.• The Hypothesis is the key to all Internet and e-commerce security

Thestudyofthesubgroupgrowthofin?nitegroupsisanareaofmathematical research that has grown rapidly since its inception at the Groups St. Andrews conferencein1985.Ithasbecomearichtheoryrequiringtoolsfromandhaving applications to many areas of group theory. Indeed, much of this progress is chronicled by Lubotzky and Segal within their book [42]. However, one area within this study has grown explosively in the last few years. This is the study of the zeta functions of groups with polynomial s- groupgrowth,inparticularfortorsion-free?nitely-generatednilpotentgroups. These zeta functions were introduced in [32], and other key papers in the - velopment of this subject include [10, 17], with [19, 23, 15] as well as [42] presenting surveys of the area. The purpose of this book is to bring into print signi?cant and as yet unpublished work from three areas of the theory of zeta functions of groups. First, there are now numerous calculations of zeta functions of groups by doctoralstudentsofthe?rstauthorwhichareyettobemadeintoprintedform outside their theses. These explicit calculations provide evidence in favour of conjectures, or indeed can form inspiration and evidence for new conjectures. We record these zeta functions in Chap.2. In particular, we document the functional equations frequently satis?ed by the local factors. Explaining this phenomenon is, according to the ?rst author and Segal [23], “one of the most intriguing open problems in the area”.