Physics for Mathematicians


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The Theoretical Minimum


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A master teacher presents the ultimate introduction to classical mechanics for people who are serious about learning physics "Beautifully clear explanations of famously 'difficult' things," -- Wall Street Journal If you ever regretted not taking physics in college -- or simply want to know how to think like a physicist -- this is the book for you. In this bestselling introduction to classical mechanics, physicist Leonard Susskind and hacker-scientist George Hrabovsky offer a first course in physics and associated math for the ardent amateur. Challenging, lucid, and concise, The Theoretical Minimum provides a tool kit for amateur scientists to learn physics at their own pace.




50 Physics Ideas You Really Need to Know


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In this, the second volume in an important new series presenting core concepts across a range of critical areas of human knowledge, author Joanne Baker unravels the complexities of 20th-century scientific theory for a general readership. From Hubble's law to the Pauli exclusion principle, and from Schrodinger's cat to Heisenberg's uncertainty principle, she explains ideas at the cutting-edge of scientific enquiry, making them comprehensible and accessible to the layperson.




How to Find Out About Physics


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How to Find Out about Physics: A Guide to Sources of Information Arranged by the Decimal Classification is an index of materials in physics. The scheme of presentation in the selection utilizes the Dewey Decimal Classification. The text first covers the careers in physics. The subsequent chapters deal with various physics materials, such as books, handbooks, dissertations, periodicals, and abstracts. The remaining chapters cover specific areas of physics, which includes optics, relativity, quantum, mechanics, and nuclear physics. The book will be of great use to students, librarian, and physicists.




Lectures On Computation


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Covering the theory of computation, information and communications, the physical aspects of computation, and the physical limits of computers, this text is based on the notes taken by one of its editors, Tony Hey, on a lecture course on computation given b




Commonly Asked Questions in Physics


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In the 300 years since Newton’s seminal work, physics has explained many things that used to be mysterious. Particularly in the last century, physics has addressed a range of questions, from the smallest fundamental particles to the large-scale structure and history of the entire universe. But there are always more questions. Suitable for a wide audience, Commonly Asked Questions in Physics covers a broad scope of subjects, from classical physics that goes back to the age of Newton to new ideas just formulated in the twenty-first century. The book highlights the core areas of physics that predate the twentieth century, including mechanics, electromagnetism, optics, and thermodynamics. It also focuses on modern physics, covering quantum mechanics, atomic and nuclear physics, fundamental particles, and relativity. Each chapter explains the numbers and units used to measure things and some chapters include a "Going Deeper" feature that provides more mathematical details for readers who are up to the challenge. The suggested readings at the end of each chapter range from classic textbooks to some of the best books written for the general public, offering readers the option to study the topic in more depth. Physics affects our lives nearly every day—using cell phones, taking x-rays, and much more. Keeping the mathematics at a very basic level, this accessible book addresses many physics questions frequently posed by physics students, scientists in other fields, and the wider public.




The Landscape of Theoretical Physics: A Global View


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Today many important directions of research are being pursued more or less independently of each other. These are, for instance, strings and mem branes, induced gravity, embedding of spacetime into a higher dimensional space, the brane world scenario, the quantum theory in curved spaces, Fock Schwinger proper time formalism, parametrized relativistic quantum the ory, quantum gravity, wormholes and the problem of “time machines”, spin and supersymmetry, geometric calculus based on Clifford algebra, various interpretations of quantum mechanics including the Everett interpretation, and the recent important approach known as “decoherence”. A big problem, as I see it, is that various people thoroughly investigate their narrow field without being aware of certain very close relations to other fields of research. What we need now is not only to see the trees but also the forest. In the present book I intend to do just that: to carry out a first approximation to a synthesis of the related fundamental theories of physics. I sincerely hope that such a book will be useful to physicists. From a certain viewpoint the book could be considered as a course in the oretical physics in which the foundations of all those relevant fundamental theories and concepts are attempted to be thoroughly reviewed. Unsolved problems and paradoxes are pointed out. I show that most of those ap proaches have a common basis in the theory of unconstrained membranes. The very interesting and important concept of membrane space, the tensor calculus in and functional transformations in are discussed.




The Trouble with Physics


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How Physics Makes Us Free


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In 1687 Isaac Newton ushered in a new scientific era in which laws of nature could be used to predict the movements of matter with almost perfect precision. Newton's physics also posed a profound challenge to our self-understanding, however, for the very same laws that keep airplanes in the air and rivers flowing downhill tell us that it is in principle possible to predict what each of us will do every second of our entire lives, given the early conditions of the universe. Can it really be that even while you toss and turn late at night in the throes of an important decision and it seems like the scales of fate hang in the balance, that your decision is a foregone conclusion? Can it really be that everything you have done and everything you ever will do is determined by facts that were in place long before you were born? This problem is one of the staples of philosophical discussion. It is discussed by everyone from freshman in their first philosophy class, to theoretical physicists in bars after conferences. And yet there is no topic that remains more unsettling, and less well understood. If you want to get behind the façade, past the bare statement of determinism, and really try to understand what physics is telling us in its own terms, read this book. The problem of free will raises all kinds of questions. What does it mean to make a decision, and what does it mean to say that our actions are determined? What are laws of nature? What are causes? What sorts of things are we, when viewed through the lenses of physics, and how do we fit into the natural order? Ismael provides a deeply informed account of what physics tells us about ourselves. The result is a vision that is abstract, alien, illuminating, and-Ismael argues-affirmative of most of what we all believe about our own freedom. Written in a jargon-free style, How Physics Makes Us Free provides an accessible and innovative take on a central question of human existence.




Models of the Mind


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The human brain is made up of 85 billion neurons, which are connected by over 100 trillion synapses. For more than a century, a diverse array of researchers searched for a language that could be used to capture the essence of what these neurons do and how they communicate – and how those communications create thoughts, perceptions and actions. The language they were looking for was mathematics, and we would not be able to understand the brain as we do today without it. In Models of the Mind, author and computational neuroscientist Grace Lindsay explains how mathematical models have allowed scientists to understand and describe many of the brain's processes, including decision-making, sensory processing, quantifying memory, and more. She introduces readers to the most important concepts in modern neuroscience, and highlights the tensions that arise when the abstract world of mathematical modelling collides with the messy details of biology. Each chapter of Models of the Mind focuses on mathematical tools that have been applied in a particular area of neuroscience, progressing from the simplest building block of the brain – the individual neuron – through to circuits of interacting neurons, whole brain areas and even the behaviours that brains command. In addition, Grace examines the history of the field, starting with experiments done on frog legs in the late eighteenth century and building to the large models of artificial neural networks that form the basis of modern artificial intelligence. Throughout, she reveals the value of using the elegant language of mathematics to describe the machinery of neuroscience.