A Brief Guide To The Great Equations

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A Brief Guide To The Great Equations

Author : Robert Crease
ISBN : 9781472100177
Genre : Mathematics
File Size : 80.83 MB
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Here are the stories of the ten most popular equations of all time as voted for by readers of Physics World, including - accessibly described here for the first time - the favourite equation of all, Euler's equation. Each is an equation that captures with beautiful simplicity what can only be described clumsily in words. Euler's equation [eip + 1 = 0] was described by respondents as 'the most profound mathematic statement ever written', 'uncanny and sublime', 'filled with cosmic beauty' and 'mind-blowing'. Collectively these equations also amount to the world's most concise and reliable body of knowledge. Many scientists and those with a mathematical bent have a soft spot for equations. This book explains both why these ten equations are so beautiful and significant, and the human stories behind them.
Category: Mathematics

Ten Physicists Who Transformed Our Understanding Of Reality

Author : Rhodri Evans
ISBN : 9781472120380
Genre : Science
File Size : 61.78 MB
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Acclaimed popular-science writer Brian Clegg and popular TV and radio astronomer Rhodri Evans give us a Top Ten list of physicists as the central theme to build an exploration of the most exciting breakthroughs in physics, looking not just at the science, but also the fascinating lives of the scientists themselves. The Top Ten are: 1.Isaac Newton (1642-1727) 2.Niels Bohr (1885-1962) 3.Galileo Galilei (1564-1642) 4.Albert Einstein (1879-1955) 5.James Clerk Maxwell (1831-1879) 6.Michael Faraday (1791-1867) 7.Marie Curie (1867-1934) 8.Richard Feynman (1918-1988) 9.Ernest Rutherford (1871-1937) 10.Paul Dirac (1902-1984) Each of these figures has made a huge contribution to physics. Some are household names, others more of a mystery, but in each case there is an opportunity to combine a better understanding of the way that each of them has advanced our knowledge of the universe with an exploration of their often unusual, always interesting lives. Whether we are with Curie, patiently sorting through tons of pitchblende to isolate radium or feeling Bohr's frustration as once again Einstein attempts to undermine quantum theory, the combination of science and biography humanizes these great figures of history and makes the Physics itself more accessible. In exploring the way the list has been built the authors also put physics in its place amongst the sciences and show how it combines an exploration of the deepest and most profound questions about life and the universe with practical applications that have transformed our lives. The book is structured chronologically, allowing readers to follow the development of scientific knowledge over more than 400 years, showing clearly how this key group of individuals has fundamentally altered our understanding of the world around us.
Category: Science

Mass

Author : Jim Baggott
ISBN : 9780191077821
Genre : Science
File Size : 56.8 MB
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Everything around us is made of 'stuff', from planets, to books, to our own bodies. Whatever it is, we call it matter or material substance. It is solid; it has mass. But what is matter, exactly? We are taught in school that matter is not continuous, but discrete. As a few of the philosophers of ancient Greece once speculated, nearly two and a half thousand years ago, matter comes in 'lumps', and science has relentlessly peeled away successive layers of matter to reveal its ultimate constituents. Surely, we can't keep doing this indefinitely. We imagine that we should eventually run up against some kind of ultimately fundamental, indivisible type of stuff, the building blocks from which everything in the Universe is made. The English physicist Paul Dirac called this 'the dream of philosophers'. But science has discovered that the foundations of our Universe are not as solid or as certain and dependable as we might have once imagined. They are instead built from ghosts and phantoms, of a peculiar quantum kind. And, at some point on this exciting journey of scientific discovery, we lost our grip on the reassuringly familiar concept of mass. How did this happen? How did the answers to our questions become so complicated and so difficult to comprehend? In Mass Jim Baggott explains how we come to find ourselves here, confronted by a very different understanding of the nature of matter, the origin of mass, and its implications for our understanding of the material world. Ranging from the Greek philosophers Leucippus and Democritus, and their theories of atoms and void, to the development of quantum field theory and the discovery of a Higgs boson-like particle, he explores our changing understanding of the nature of matter, and the fundamental related concept of mass.
Category: Science

Farewell To Reality

Author : Jim Baggott
ISBN : 9781472104700
Genre : Science
File Size : 44.19 MB
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Modern physics is heady stuff. It seems that barely a week goes by without some new astounding science story; some revelation about hidden dimensions, multiple universes, the holographic principle or incredible cosmic coincidences. But is it true? What evidence do we have for super-symmetric squarks', or superstrings vibrating in an 11-dimensional space-time? How do we know that we live in a multiverse? How can we tell that the universe is a hologram projected from information encoded on its boundary? Doesn't this sound like a fairy story? In Farewell to Reality Jim Baggott asks whether all that we currently know about the universe is based upon science or fantasy. In addition he wonders whether these high priests of fairy tale physics - such as John Barrow, Paul Davies, David Deutsch, Brian Greene, Stephen Hawking, Michio Kaku, Gordon Kane and Leonard Susskind - are the emperor's latest tailors. Praise for Jim Baggott: A shimmering tour d'horizon. Quantum theory may deny us the possibility of properly comprehending physical reality, but Baggott's account is smart and consoling. Kirkus Reviews. Jim Baggott's inspired - and inspiring - idea of presenting the history of quantum physics in terms of 40 key moments works both as an introduction for the uninitiated and as a refresher for anyone who thinks they know the story. John Gribbin. I never read such a good, comprehensive account as Jim Baggott's...highly recommended. A.N. Wilson. The best popular science book of the year to date by far. popularscience.co.uk
Category: Science

The Quantum Story

Author : J. E. Baggott
ISBN : 9780199566846
Genre : Science
File Size : 65.47 MB
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Utterly beautiful. Profoundly disconcerting. Quantum theory is quite simply the most successful account of the physical universe ever devised. Its concepts underpin much of the twenty-first century technology that we now take for granted. But at the same time it has completely undermined our ability to make sense of the world at its most fundamental level. Niels Bohr claimed that anybody who is not shocked by the theory has not understood it. The American physicist Richard Feynman went further: he claimed that nobody understands it. The Quantum Story begins in 1900, tracing a century of game-changing science. Popular science writer Jim Baggott first shows how, over the space of three decades, Einstein, Bohr, Heisenberg, and others formulated and refined the theory--and opened the floodgates. Indeed, since then, a torrent of ideas has flowed from the world's leading physicists, as they explore and apply the theory's bizarre implications. To take us from the story's beginning to the present day, Baggott organizes his narrative around forty turning-point moments of discovery. Many of these are inextricably bound up with the characters involved--their rivalries and their collaborations, their arguments and, not least, their excitement as they sense that they are redefining what reality means. Through the mix of story and science, we experience their breathtaking leaps of theory and experiment, as they uncover such undreamed of and mind-boggling phenomenon as black holes, multiple universes, quantum entanglement, the Higgs boson, and much more. Brisk, clear, and compelling, The Quantum Story is science writing at its best. A compelling look at the one-hundred-year history of quantum theory, it illuminates the idea as it reveals how generations of physicists have grappled with this monster ever since.
Category: Science

Ordinary Differential Equations

Author : David A. Sanchez
ISBN : 9781470458348
Genre : Mathematics
File Size : 74.36 MB
Format : PDF
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For the instructor or student confronting an introductory course in ordinary differential equations there is a need for a brief guide to the key concepts in the subject. Important topics like stability, resonance, existence of periodic solutions, and the essential role of continuation of solutions are often engulfed in a sea of exercises in integration, linear algebra theory, computer programming and an overdose of series expansions. This book is intended as that guide. It is more conceptual than definitive and more light-hearted than pedagogic. It covers key topics and theoretical underpinnings that are necessary for the study of rich topics like nonlinear equations or stability theory. The [Author]; has included a great many illuminating examples and discussions that uncover the conceptual heart of the matter.
Category: Mathematics

A Brief Guide To Algebraic Number Theory

Author : H. P. F. Swinnerton-Dyer
ISBN : 0521004233
Genre : Mathematics
File Size : 85.26 MB
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Broad graduate-level account of Algebraic Number Theory, including exercises, by a world-renowned author.
Category: Mathematics

A Concise Guide To Semigroups And Evolution Equations

Author : Aldo Belleni-Morante
ISBN : 9810212941
Genre : Mathematics
File Size : 52.80 MB
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This book is a simple and concise introduction to the theory of semigroups and evolution equations, both in the linear and in the semilinear case. The subject is presented by a discussion of two standard boundary value problems (from particle transport theory and from population theory), and by showing how such problems can be rewritten as evolution problems in suitable Banach spaces.Each section of the book is completed by some notes, where the relevant notions of functional analysis are explained. Some other definitions and theorems of functional analysis are discussed in the Appendices (so that the only prerequisites to read the book are classical differential and integral calculus).
Category: Mathematics

Abc Of Physics

Author : Lev Borisovich Okun
ISBN : 9789814397278
Genre : Science
File Size : 50.71 MB
Format : PDF
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Translated from Russian by Vitaly KisinThis little book concentrates on the foundations of modern physics (its 'ABC's') and its most fundamental constants: c -- the velocity of light and ℏ -- the quantum of action.First of all, the book is addressed to professional physicists, but in order to achieve maximal concentration and clarity it uses the simplest (high school) mathematics. As a result many pages of the book will be useful to college students and may appeal to a more general audience.
Category: Science

A Student S Guide To Geophysical Equations

Author : William Lowrie
ISBN : 9781139499248
Genre : Science
File Size : 60.46 MB
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The advent of accessible student computing packages has meant that geophysics students can now easily manipulate datasets and gain first-hand modeling experience - essential in developing an intuitive understanding of the physics of the Earth. Yet to gain a more in-depth understanding of physical theory, and to develop new models and solutions, it is necessary to be able to derive the relevant equations from first principles. This compact, handy book fills a gap left by most modern geophysics textbooks, which generally do not have space to derive all of the important formulae, showing the intermediate steps. This guide presents full derivations for the classical equations of gravitation, gravity, tides, earth rotation, heat, geomagnetism and foundational seismology, illustrated with simple schematic diagrams. It supports students through the successive steps and explains the logical sequence of a derivation - facilitating self-study and helping students to tackle homework exercises and prepare for exams.
Category: Science

A Student S Guide To Maxwell S Equations

Author : Daniel Fleisch
ISBN : 1139468472
Genre : Science
File Size : 44.2 MB
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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.
Category: Science

Solutions Manual To Accompany Beginning Partial Differential Equations

Author : Peter V. O'Neil
ISBN : 9781118630099
Genre : Mathematics
File Size : 71.65 MB
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Solutions Manual to Accompany Beginning Partial Differential Equations, 3rd Edition Featuring a challenging, yet accessible, introduction to partial differential equations, Beginning Partial Differential Equations provides a solid introduction to partial differential equations, particularly methods of solution based on characteristics, separation of variables, as well as Fourier series, integrals, and transforms. Thoroughly updated with novel applications, such as Poe's pendulum and Kepler's problem in astronomy, this third edition is updated to include the latest version of Maples, which is integrated throughout the text. New topical coverage includes novel applications, such as Poe's pendulum and Kepler's problem in astronomy.
Category: Mathematics

Bayesian Inference In Dynamic Econometric Models

Author : Luc Bauwens
ISBN : 9780191588464
Genre : Business & Economics
File Size : 34.13 MB
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This book contains an up-to-date coverage of the last twenty years advances in Bayesian inference in econometrics, with an emphasis on dynamic models. It shows how to treat Bayesian inference in non linear models, by integrating the useful developments of numerical integration techniques based on simulations (such as Markov Chain Monte Carlo methods), and the long available analytical results of Bayesian inference for linear regression models. It thus covers a broad range of rather recent models for economic time series, such as non linear models, autoregressive conditional heteroskedastic regressions, and cointegrated vector autoregressive models. It contains also an extensive chapter on unit root inference from the Bayesian viewpoint. Several examples illustrate the methods.
Category: Business & Economics

A Guide To Monte Carlo Simulations In Statistical Physics

Author : David P. Landau
ISBN : 0521842387
Genre : Computers
File Size : 37.63 MB
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This new and updated edition deals with all aspects of Monte Carlo simulation of complex physical systems encountered in condensed-matter physics, statistical mechanics, and related fields. After briefly recalling essential background in statistical mechanics and probability theory, it gives a succinct overview of simple sampling methods. The concepts behind the simulation algorithms are explained comprehensively, as are the techniques for efficient evaluation of system configurations generated by simulation. It contains many applications, examples, and exercises to help the reader and provides many new references to more specialized literature. This edition includes a brief overview of other methods of computer simulation and an outlook for the use of Monte Carlo simulations in disciplines beyond physics. This is an excellent guide for graduate students and researchers who use computer simulations in their research. It can be used as a textbook for graduate courses on computer simulations in physics and related disciplines.
Category: Computers

A Beginner S Guide To Structural Equation Modeling

Author : Randall E. Schumacker
ISBN : 9781135641917
Genre : Psychology
File Size : 36.62 MB
Format : PDF, Kindle
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The second edition features: a CD with all of the book's Amos, EQS, and LISREL programs and data sets; new chapters on importing data issues related to data editing and on how to report research; an updated introduction to matrix notation and programs that illustrate how to compute these calculations; many more computer program examples and chapter exercises; and increased coverage of factors that affect correlation, the 4-step approach to SEM and hypothesis testing, significance, power, and sample size issues. The new edition's expanded use of applications make this book ideal for advanced students and researchers in psychology, education, business, health care, political science, sociology, and biology. A basic understanding of correlation is assumed and an understanding of the matrices used in SEM models is encouraged.
Category: Psychology