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

*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.

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 i-tunes, 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 Num8er My5teries, 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.

(This ebook contains a limited number of illustrations.)The ebook of the critically-acclaimed popular science book by a writer who is fast becoming a celebrity mathematician.Prime numbers are the very atoms of arithmetic. They also embody one of the most tantalising enigmas in the pursuit of human knowledge. How can one predict when the next prime number will occur? Is there a formula which could generate primes? These apparently simple questions have confounded mathematicians ever since the Ancient Greeks.In 1859, the brilliant German mathematician Bernard Riemann put forward an idea which finally seemed to reveal a magical harmony at work in the numerical landscape. The promise that these eternal, unchanging numbers would finally reveal their secret thrilled mathematicians around the world. Yet Riemann, a hypochondriac and a troubled perfectionist, never publicly provided a proof for his hypothesis and his housekeeper burnt all his personal papers on his death.Whoever cracks Riemann's hypothesis will go down in history, for it has implications far beyond mathematics. In business, it is the lynchpin for security and e-commerce. In science, it has critical ramifications in Quantum Mechanics, Chaos Theory, and the future of computing. Pioneers in each of these fields are racing to crack the code and a prize of $1 million has been offered to the winner. As yet, it remains unsolved.In this breathtaking book, mathematician Marcus du Sautoy tells the story of the eccentric and brilliant men who have struggled to solve one of the biggest mysteries in science. It is a story of strange journeys, last-minute escapes from death and the unquenchable thirst for knowledge. Above all, it is a moving and awe-inspiring evocation of the mathematician's world and the beauties and mysteries it contains.

This new ebook 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.

Britain’s most famous mathematician takes us to the edge of knowledge to show us what we cannot know.Science is king. Every week, headlines announce new breakthroughs in our understanding of the universe, new technologies that will transform our environment, new medical advances that will extend our lives. Science is giving us unprecedented insight into some of the big questions that have challenged humanity ever since we’ve been able to formulate those questions. Where did we come from? What is the ultimate destiny of the universe? What are the building blocks of the physical world? What is consciousness?`What We Cannot Know’ asks us to rein in this unbridled enthusiasm for the power of science. Marcus Du Sautoy explores the limits of human knowledge, to probe whether there is anything we truly cannot know.Are there limits to what we can discover about our physical universe? Are some regions of the future beyond the predictive powers of science and mathematics? Is time before the big bang a no go arena? Are there ideas so complex that they are beyond the conception of our finite human brains? Can brains even investigate themselves or does the analysis enter an infinite loop from which it is impossible to rescue itself? Are there true statements that can never be proved true?Prepare to be taken to the edge of knowledge to find out what we cannot know.

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.

Will a computer ever compose a symphony, write a prize-winning novel, or paint a masterpiece? And if so, would we be able to tell the difference? As humans, we have an extraordinary ability to create works of art that elevate, expand and transform what it means to be alive.Yet in many other areas, new developments in AI are shaking up the status quo, as we find out how many of the tasks humans engage in can be done equally well, if not better, by machines. But can machines be creative? Will they soon be able to learn from the art that moves us, and understand what distinguishes it from the mundane?In The Creativity Code, Marcus du Sautoy examines the nature of creativity, as well as providing an essential guide into how algorithms work, and the mathematical rules underpinning them. He asks 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.Marcus finds out how long it might be before machines come up with something creative, and whether they might jolt us into being more imaginative in turn. The result is a fascinating and very different exploration into both AI and the essence of what it means to be human.

Will a computer ever compose a symphony, write a prize-winning novel, or paint a masterpiece? And if so, would we be able to tell the difference?As humans, we have an extraordinary ability to create works of art that elevate, expand and transform what it means to be alive.Yet in many other areas, new developments in AI are shaking up the status quo, as we find out how many of the tasks humans engage in can be done equally well, if not better, by machines. But can machines be creative? Will they soon be able to learn from the art that moves us, and understand what distinguishes it from the mundane?In The Creativity Code, Marcus du Sautoy examines the nature of creativity, as well as providing an essential guide into how algorithms work, and the mathematical rules underpinning them. He asks 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.Marcus finds out how long it might be before machines come up with something creative, and whether they might jolt us into being more imaginative in turn. The result is a fascinating and very different exploration into both AI and the essence of what it means to be human.

‘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.

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.

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.

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.

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?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

'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 FRYA WATERSTONES BOOK OF YEAR 2023An 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

*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

''WHAT TO READ IN 2025'' FINANCIAL TIMESMany 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 mathematician takes us on “a pilgrimage through the uncanny world of symmetry [in] a dramatically presented and polished treasure of theories” (Kirkus Reviews).Symmetry is all around us. Of fundamental significance to the way we interpret the world, this unique, pervasive phenomenon indicates a dynamic relationship between objects. Combining a rich historical narrative with his own personal journey as a mathematician, Marcus du Sautoy—a writer “able to engage general readers in the cerebral dramas of pure mathematics” (Booklist)—takes a unique look into the mathematical mind as he explores deep conjectures about symmetry and brings us face-to-face with the oddball mathematicians, both past and present, who have battled to understand symmetry’s elusive qualities.“The author takes readers gently by the hand and leads them elegantly through some steep and rocky terrain as he explains the various kinds of symmetry and the objects they swirl around. Du Sautoy explains how this twirling world of geometric figures has strange but marvelous connections to number theory, and how the ultimate symmetrical object, nicknamed the Monster, is related to string theory. This book is also a memoir in which du Sautoy describes a mathematician’s life and how one makes a discovery in these strange lands. He also blends in minibiographies of famous figures like Galois, who played significant roles in this field.” —Publishers Weekly“Fascinating and absorbing.” —The Economist“Impressively, he conveys the thrill of grasping the mathematics that lurk in the tile work of the Alhambra, or in palindromes, or in French mathematician Évariste Galois’s discovery of the interactions between the symmetries in a group.” —Kirkus Reviews