Stay organized and boost your productivity with this stylish A4 Squared Exercise Book! Featuring a modern design with a practical label box on the cover, it’s perfect for math, technical drawings, journaling, and more. The clean grid pattern and sleek look make it an essential tool for students, engineers, and professionals.Key Features:📄 100 Pages of Quality: Crafted with 100 smooth, white pages to prevent ink bleed-through, offering a professional writing experience.📏 10mm Grid Design: Features a clear 10mm squared ruling for precise calculations, graphs, or organized notes.🖋️ A4 Size: Large size provides plenty of space for your creative and professional needs.✨ Matte Finish Cover: A durable and sophisticated matte cover with a label box for easy personalization, making it perfect for school or work.🌟 Versatile Usage: Whether you're solving math problems, planning projects, or sketching ideas, this notebook adapts to all your tasks.The clean and modern grid design cover adds a touch of simplicity and practicality, making it suitable for any setting.Get yours today and elevate your productivity with style! 🚀 Read more

The latest volume in The New York Times bestselling physics series explains Einstein's masterpiece: the general theory of relativityHe taught us classical mechanics, quantum mechanics and special relativity. Now, physicist Leonard Susskind, assisted by a new collaborator, André Cabannes, returns to tackle Einstein's general theory of relativity. Starting from the equivalence principle and covering the necessary mathematics of Riemannian spaces and tensor calculus, Susskind and Cabannes explain the link between gravity and geometry. They delve into black holes, establish Einstein field equations and solve them to describe gravity waves. The authors provide vivid explanations that, to borrow a phrase from Einstein himself, are as simple as possible (but no simpler).An approachable yet rigorous introduction to one of the most important topics in physics, General Relativity is a must-read for anyone who wants a deeper knowledge of the universe's real structure. Read more

'Science has never had an advocate quite like David Deutsch ... A computational physicist on a par with his touchstones Alan Turing and Richard Feynman, and a philosopher in the line of his greatest hero, Karl Popper. His arguments are so clear that to read him is to experience the thrill of the highest level of discourse available on this planet and to understand it' Peter Forbes, IndependentIn our search for truth, how far have we advanced? This uniquely human quest for good explanations has driven amazing improvements in everything from scientific understanding and technology to politics, moral values and human welfare. But will progress end, either in catastrophe or completion - or will it continue infinitely?In this profound and seminal book, David Deutsch explores the furthest reaches of our current understanding, taking in the Infinity Hotel, supernovae and the nature of optimism, to instill in all of us a wonder at what we have achieved - and the fact that this is only the beginning of humanity's infinite possibility.'This is Deutsch at his most ambitious, seeking to understand the implications of our scientific explanations of the world ... I enthusiastically recommend this rich, wide-ranging and elegantly written exposition of the unique insights of one of our most original intellectuals' Michael Berry, Times Higher Education Supplement 'Bold ... profound ... provocative and persuasive' Economist'David Deutsch may well go down in history as one of the great scientists of our age' Scotsman Read more

In Professor Povey's Perplexing Problems, Thomas Povey shares 109 of his favourite problems in physics and maths. A tour de force of imagination and exposition, he takes us by the hand and guides us through uncompromisingly challenging territory that expands our minds and encourages a playful and exploratory approach to study. The puzzles, he says, are like toys. We should pick up the one we most enjoy, and play with it. Whether you are an aspiring scientist or an old-hand, pitting yourself against these problems will test your ability to think, and inspire you with curiosity and enthusiasm for physics. Presented with charm and wit, the questions span the gap between high-school and university-entrance standard material. Detailed answers are lightened with a fascinating and refreshing blend of scientific history, application and personal anecdote.On this delightful and idiosyncratic romp through pre-university maths and physics, the author shows us that behind every single one of these questions lies a new way of thinking about subjects we thought we had understood. He argues that engaging with the unfamiliar is key to forming deeper insights and developing intellectual independence. Professor Povey's Perplexing Problems is a manifesto that science should be playful, and a celebration of the curious. Read more

The third edition of this highly acclaimed undergraduate textbook is suitable for teaching all the mathematics for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. Further tabulations, of relevance in statistics and numerical integration, have been added. In this edition, half of the exercises are provided with hints and answers and, in a separate manual available to both students and their teachers, complete worked solutions. The remaining exercises have no hints, answers or worked solutions and can be used for unaided homework; full solutions are available to instructors on a password-protected web site, www.cambridge.org/9780521679718. Read more

A Brief History of Time for the 21st CenturyAt the heart of our galaxy lies a monster so deadly, not even light can escape its grasp. Its secrets lie waiting to be discovered. It’s time to explore our universe’s most mysterious inhabitantsBlack HolesAt the heart of the Milky Way lies a supermassive black hole 4 million times more massive than our Sun. A place where space and time are so warped that light is trapped if it ventures within 12 million km. According to Einstein, inside lies the end of time. According to 21st-century physics, the reality may be far more bizarre.Black holes lie where the most massive stars used to shine and at the edge of our current understanding. They are naturally occurring objects, the inevitable creations of gravity when too much matter collapses into not enough space. And yet, although the laws of nature predict them, they fail fully to describe them.Black holes are places in space and time where the laws of gravity, quantum physics and thermodynamics collide. Originally thought to be so intellectually troubling that they simply could not exist, it is only in the past few years that we have begun to glimpse a new synthesis; a deep connection between gravity and quantum information theory that describes a holographic universe in which space and time emerge from a network of quantum bits, and wormholes span the void.In this groundbreaking book, Professor Brian Cox and Professor Jeff Forshaw take you to the edge of our understanding of black holes; a scientific journey to the research frontier spanning a century of physics, from Einstein to Hawking and beyond, that ends with the startling conclusion that our world may operate like a giant quantum computer. Read more

Chaos, a book by James Gleick, first introduced the concept and early development of the chaos theory to the public. Chaos theory is a relatively new field in physics, and deals with simple and complex causes that react to one another. Chaos theory is considered as the third revolution in 20th-century science that uses traditional mathematical ways of understanding and explaining complex natural systems. It philosophically counters the second law of thermodynamics.Chaos helps us in understanding the fact that there is growth and pattern in chaos itself, despite the outward appearance of being random. Various concepts such as the butterfly effect, universal constants, and strange attractors are discussed at a length in the book. Numerous theories of Mitchell J Feigenbaum and D'arcy Thompson are discussed in an elaborate manner, while also taking into account their historical background. The book explains the Mandelbrot Set and Julia Set without resorting to complex mathematics. In this book, the importance of scientific education is stressed upon by the author.This book has been nominated for numerous book awards and widely acclaimed as one of the best books on chaos theory. This book was published in 1997 by RHUK, and is available in paperback.Key Features:This is one of the first books that was ever written on the chaos theory, and has also been nominated for various book prizes.It helps us in understanding the complexity of problems and the best means of solving it. Read more

A Brief History of Time for the 21st CenturyAt the heart of our galaxy lies a monster so deadly, not even light can escape its grasp. Its secrets lie waiting to be discovered. It’s time to explore our universe’s most mysterious inhabitantsBlack HolesAt the heart of the Milky Way lies a supermassive black hole 4 million times more massive than our Sun. A place where space and time are so warped that light is trapped if it ventures within 12 million km. According to Einstein, inside lies the end of time. According to 21st-century physics, the reality may be far more bizarre.Black holes lie where the most massive stars used to shine and at the edge of our current understanding. They are naturally occurring objects, the inevitable creations of gravity when too much matter collapses into not enough space. And yet, although the laws of nature predict them, they fail fully to describe them.Black holes are places in space and time where the laws of gravity, quantum physics and thermodynamics collide. Originally thought to be so intellectually troubling that they simply could not exist, it is only in the past few years that we have begun to glimpse a new synthesis; a deep connection between gravity and quantum information theory that describes a holographic universe in which space and time emerge from a network of quantum bits, and wormholes span the void.In this groundbreaking book, Professor Brian Cox and Professor Jeff Forshaw take you to the edge of our understanding of black holes; a scientific journey to the research frontier spanning a century of physics, from Einstein to Hawking and beyond, that ends with the startling conclusion that our world may operate like a giant quantum computer. Read more

What existential threats does humanity face? And how can we secure our future?'The Precipice is a powerful book . . . Ord's love for humanity and hope for its future is infectious' Spectator'Ord's analysis of the science is exemplary . . . Thrillingly written' Sunday TimesWe live during the most important era of human history. In the twentieth century, we developed the means to destroy ourselves - without developing the moral framework to ensure we won't. This is the Precipice, and how we respond to it will be the most crucial decision of our time.Oxford moral philosopher Toby Ord explores the risks to humanity's future, from the familiar man-made threats of climate change and nuclear war, to the potentially greater, more unfamiliar threats from engineered pandemics and advanced artificial intelligence.With clear and rigorous thinking, Ord calculates the various risk levels, and shows how our own time fits within the larger story of human history. We can say with certainty that the novel coronavirus does not pose such a risk. But could the next pandemic? And what can we do, in our present moment, to face the risks head on?A major work that brings together the disciplines of physics, biology, earth and computer science, history, anthropology, statistics, international relations, political science and moral philosophy, The Precipice is a call for a new understanding of our age: a major reorientation in the way we see the world, our history, and the role we play in it. Read more

'Science has never had an advocate quite like David Deutsch ... A computational physicist on a par with his touchstones Alan Turing and Richard Feynman, and a philosopher in the line of his greatest hero, Karl Popper. His arguments are so clear that to read him is to experience the thrill of the highest level of discourse available on this planet and to understand it' Peter Forbes, IndependentIn our search for truth, how far have we advanced? This uniquely human quest for good explanations has driven amazing improvements in everything from scientific understanding and technology to politics, moral values and human welfare. But will progress end, either in catastrophe or completion - or will it continue infinitely?In this profound and seminal book, David Deutsch explores the furthest reaches of our current understanding, taking in the Infinity Hotel, supernovae and the nature of optimism, to instill in all of us a wonder at what we have achieved - and the fact that this is only the beginning of humanity's infinite possibility.'This is Deutsch at his most ambitious, seeking to understand the implications of our scientific explanations of the world ... I enthusiastically recommend this rich, wide-ranging and elegantly written exposition of the unique insights of one of our most original intellectuals' Michael Berry, Times Higher Education Supplement 'Bold ... profound ... provocative and persuasive' Economist'David Deutsch may well go down in history as one of the great scientists of our age' Scotsman Read more

What existential threats does humanity face? And how can we secure our future?'The Precipice is a powerful book . . . Ord's love for humanity and hope for its future is infectious' Spectator'Ord's analysis of the science is exemplary . . . Thrillingly written' Sunday TimesWe live during the most important era of human history. In the twentieth century, we developed the means to destroy ourselves – without developing the moral framework to ensure we won't. This is the Precipice, and how we respond to it will be the most crucial decision of our time.Oxford moral philosopher Toby Ord explores the risks to humanity's future, from the familiar man-made threats of climate change and nuclear war, to the potentially greater, more unfamiliar threats from engineered pandemics and advanced artificial intelligence.With clear and rigorous thinking, Ord calculates the various risk levels, and shows how our own time fits within the larger story of human history. We can say with certainty that the novel coronavirus does not pose such a risk. But could the next pandemic? And what can we do, in our present moment, to face the risks head on?A major work that brings together the disciplines of physics, biology, earth and computer science, history, anthropology, statistics, international relations, political science and moral philosophy, The Precipice is a call for a new understanding of our age: a major reorientation in the way we see the world, our history, and the role we play in it. Read more

An in depth exploration of how Clifford algebras and spinors have been sparking collaboration and bridging the gap between Physics and Mathematics. This collaboration has been the consequence of a growing awareness of the importance of algebraic and geometric properties in many physical phenomena, and of the discovery of common ground through various touch points: relating Clifford algebras and the arising geometry to so-called spinors, and to their three definitions (both from the mathematical and physical viewpoint). The main points of contact are the representations of Clifford algebras and the periodicity theorems. Clifford algebras also constitute a highly intuitive formalism, having an intimate relationship to quantum field theory. The text strives to seamlessly combine these various viewpoints and is devoted to a wider audience of both physicists and mathematicians. Among the existing approaches to Clifford algebras and spinors this book is unique in that it provides a didactical presentation of the topic and is accessible to both students and researchers. It emphasizes the formal character and the deep algebraic and geometric completeness, and merges them with the physical applications. Read more

Scientific knowledge grows at a phenomenal pace--but few books have had as lasting an impact or played as important a role in our modern world as The Mathematical Theory of Communication, published originally as a paper on communication theory more than fifty years ago. Republished in book form shortly thereafter, it has since gone through four hardcover and sixteen paperback printings.  It is a revolutionary work, astounding in its foresight and contemporaneity.  The University of Illinois Press is pleased and honored to issue this commemorative reprinting of a classic.     Read more

In his monumental 1687 work, Philosophiae Naturalis Principia Mathematica, known familiarly as the Principia, Isaac Newton laid out in mathematical terms the principles of time, force, and motion that have guided the development of modern physical science. Even after more than three centuries and the revolutions of Einsteinian relativity and quantum mechanics, Newtonian physics continues to account for many of the phenomena of the observed world, and Newtonian celestial dynamics is used to determine the orbits of our space vehicles. This authoritative, modern translation by I. Bernard Cohen and Anne Whitman, the first in more than 285 years, is based on the 1726 edition, the final revised version approved by Newton; it includes extracts from the earlier editions, corrects errors found in earlier versions, and replaces archaic English with contemporary prose and up-to-date mathematical forms. Newton's principles describe acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. A great work in itself, the Principia also revolutionized the methods of scientific investigation. It set forth the fundamental three laws of motion and the law of universal gravity, the physical principles that account for the Copernican system of the world as emended by Kepler, thus effectively ending controversy concerning the Copernican planetary system. The translation - only edition of this preeminent work is truly accessible for today's scientists, scholars, and students. Read more

THE #2 TIMES BESTSELLER'Artificial intelligence is going to have a massive impact on everyone’s lives... an accessible and sensible read that helps demystify AI' Deborah Meaden, entrepreneur and star of Dragon's Den'Nigel Toon is a visionary leader in the field of artificial intelligence... a must-read' Marc Tremblay, Distinguished Engineer, MicrosoftThose who understand how AI thinks are about to win big.We are used to thinking of computers as being a step up from calculators - very good at storing information, and maybe even at playing a logical game like chess. But up to now they haven't been able to think in ways that are intuitive, or respond to questions as a human might. All that has changed, dramatically, in the past few years.Our search engines are becoming answer engines. Artificial intelligence is already revolutionising sectors from education to healthcare to the creative arts. But how does an AI understand sentiment or context? How does it play and win games that have an almost infinite number of moves? And how can we work with AI to produce insights and innovations that are beyond human capacity, from writing code in an instant to unfolding the elaborate 3D puzzles of proteins?We stand at the brink of a historic change that will disrupt society and at the same time create enormous opportunities for those who understand how AI thinks. Nigel Toon shows how we train AI to train itself, so that it can paint images that have never existed before or converse in any language. In doing so he reveals the strange and fascinating ways that humans think, too, as we learn how to live in a world shared by machine intelligences of our own creation. Read more

‘Another terrific book by Rob Eastaway’ SIMON SINGH‘A delightfully accessible guide to how to play with numbers’ HANNAH FRYHow many cats are there in the world?What's the chance of winning the lottery twice?And just how long does it take to count to a million?Learn how to tackle tricky maths problems with nothing but the back of an envelope, a pencil and some good old-fashioned brain power.Join Rob Eastaway as he takes an entertaining look at how to figure without a calculator. Packed with amusing anecdotes, quizzes, and handy calculation tips for every situation, Maths on the Back of an Envelope is an invaluable introduction to the art of estimation, and a welcome reminder that sometimes our own brain is the best tool we have to deal with numbers. Read more

‘Another terrific book by Rob Eastaway’ SIMON SINGH‘A delightfully accessible guide to how to play with numbers’ HANNAH FRYHow many cats are there in the world?What's the chance of winning the lottery twice?And just how long does it take to count to a million?Learn how to tackle tricky maths problems with nothing but the back of an envelope, a pencil and some good old-fashioned brain power.Join Rob Eastaway as he takes an entertaining look at how to figure without a calculator. Packed with amusing anecdotes, quizzes, and handy calculation tips for every situation, Maths on the Back of an Envelope is an invaluable introduction to the art of estimation, and a welcome reminder that sometimes our own brain is the best tool we have to deal with numbers. Read more

THE #2 TIMES BESTSELLER'Artificial intelligence is going to have a massive impact on everyone’s lives... an accessible and sensible read that helps demystify AI' Deborah Meaden, entrepreneur and star of Dragon's Den'Nigel Toon is a visionary leader in the field of artificial intelligence... a must-read' Marc Tremblay, Distinguished Engineer, MicrosoftThose who understand how AI thinks are about to win big.We are used to thinking of computers as being a step up from calculators - very good at storing information, and maybe even at playing a logical game like chess. But up to now they haven't been able to think in ways that are intuitive, or respond to questions as a human might. All that has changed, dramatically, in the past few years.Our search engines are becoming answer engines. Artificial intelligence is already revolutionising sectors from education to healthcare to the creative arts. But how does an AI understand sentiment or context? How does it play and win games that have an almost infinite number of moves? And how can we work with AI to produce insights and innovations that are beyond human capacity, from writing code in an instant to unfolding the elaborate 3D puzzles of proteins?We stand at the brink of a historic change that will disrupt society and at the same time create enormous opportunities for those who understand how AI thinks. Nigel Toon shows how we train AI to train itself, so that it can paint images that have never existed before or converse in any language. In doing so he reveals the strange and fascinating ways that humans think, too, as we learn how to live in a world shared by machine intelligences of our own creation. Read more

The Little Book of String Theory offers a short, accessible, and entertaining introduction to one of the most talked-about areas of physics today. String theory has been called the "theory of everything." It seeks to describe all the fundamental forces of nature. It encompasses gravity and quantum mechanics in one unifying theory. But it is unproven and fraught with controversy. After reading this book, you'll be able to draw your own conclusions about string theory. Steve Gubser begins by explaining Einstein's famous equation E = mc2 , quantum mechanics, and black holes. He then gives readers a crash course in string theory and the core ideas behind it. In plain English and with a minimum of mathematics, Gubser covers strings, branes, string dualities, extra dimensions, curved spacetime, quantum fluctuations, symmetry, and supersymmetry. He describes efforts to link string theory to experimental physics and uses analogies that nonscientists can understand. How does Chopin's Fantasie-Impromptu relate to quantum mechanics? What would it be like to fall into a black hole? Why is dancing a waltz similar to contemplating a string duality? Find out in the pages of this book. The Little Book of String Theory is the essential, most up-to-date beginner's guide to this elegant, multidimensional field of physics. Read more

Gauss's law for electric fields, Gauss's law for magnetic fields, Faraday's law, and the Ampere–Maxwell law are four of the most influential equations in science. In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter. Read more