A Brief Guide To The Great Equations

Author : Robert Crease
Publisher : Hachette UK
ISBN 13 : 1472100174
Total Pages : 320 pages
Book Rating : 4.77/5 ( download)

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Download or read book A Brief Guide to the Great Equations written by Robert Crease and published by Hachette UK. This book was released on 2012-06-07 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Robert P. Crease
Publisher : W. W. Norton & Company
ISBN 13 : 0393345769
Total Pages : 320 pages
Book Rating : 4.66/5 ( download)

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Download or read book The Great Equations: Breakthroughs in Science from Pythagoras to Heisenberg written by Robert P. Crease and published by W. W. Norton & Company. This book was released on 2010-01-18 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Any reader who aspires to be scientifically literate will find this a good starting place." —Publishers Weekly While we may be familiar with some of science’s greatest equations, we may not know that each and every equation emerged not in "Eureka!" moments but in years of cultural developments and scientific knowledge. With vignettes full of humor, drama, and eccentricity, philosopher and science historian Robert P. Crease shares the stories behind ten of history’s greatest equations, from the "first equation," 1 + 1 = 2, which promises a rational, well-ordered world, to Heisenberg’s uncertainty principle, which reveals the limitations of human knowledge. For every equation, Crease provides a brief account of who discovered it, what dissatisfactions lay behind its discovery, and what the equation says about the nature of our world.

Author : Daniel Fleisch
Publisher : Cambridge University Press
ISBN 13 : 1139468472
Total Pages : 129 pages
Book Rating : 4.73/5 ( download)

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Download or read book A Student's Guide to Maxwell's Equations written by Daniel Fleisch and published by Cambridge University Press. This book was released on 2008-01-10 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Boris Pritsker
Publisher : Courier Dover Publications
ISBN 13 : 048684305X
Total Pages : 337 pages
Book Rating : 4.56/5 ( download)

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Download or read book The Equations World written by Boris Pritsker and published by Courier Dover Publications. This book was released on 2019-08-14 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Equations are the lifeblood of mathematics, science, and technology, and this book examines equations of all kinds. With his masterful ability to convey the excitement and elegance of mathematics, author Boris Pritsker explores equations from the simplest to the most complex—their history, their charm, and their usefulness in solving problems. The Equations World bridges the fields of algebra, geometry, number theory, and trigonometry, solving more than 280 problems by employing a wide spectrum of techniques. The author demystifies the subject with efficient hints, tricks, and methods that reveal the fun and satisfaction of problem solving. He also demonstrates how equations can serve as important tools for expressing a problem's data, showing the ways in which they assist in fitting parts together to solve the whole puzzle. In addition, brief historical tours reveal the foundations of mathematical thought by tracing the ideas and approaches developed by mathematicians over the centuries. Both recreational mathematicians and ambitious students will find this book an ample source of enlightenment and enjoyment.

Author : Dr. Michael Guillen
Publisher : Hachette Books
ISBN 13 : 1401304915
Total Pages : 239 pages
Book Rating : 4.11/5 ( download)

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Download or read book Five Equations That Changed the World written by Dr. Michael Guillen and published by Hachette Books. This book was released on 2012-06-05 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Publishers Weekly best book of 1995! Dr. Michael Guillen, known to millions as the science editor of ABC's Good Morning America, tells the fascinating stories behind five mathematical equations. As a regular contributor to daytime's most popular morning news show and an instructor at Harvard University, Dr. Michael Guillen has earned the respect of millions as a clear and entertaining guide to the exhilarating world of science and mathematics. Now Dr. Guillen unravels the equations that have led to the inventions and events that characterize the modern world, one of which -- Albert Einstein's famous energy equation, E=mc2 -- enabled the creation of the nuclear bomb. Also revealed are the mathematical foundations for the moon landing, airplane travel, the electric generator -- and even life itself. Praised by Publishers Weekly as "a wholly accessible, beautifully written exploration of the potent mathematical imagination," and named a Best Nonfiction Book of 1995, the stories behind The Five Equations That Changed the World, as told by Dr. Guillen, are not only chronicles of science, but also gripping dramas of jealousy, fame, war, and discovery.

Author : Matt A. Bernstein
Publisher : John Wiley & Sons
ISBN 13 : 1118210646
Total Pages : 189 pages
Book Rating : 4.42/5 ( download)

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Download or read book Thinking About Equations written by Matt A. Bernstein and published by John Wiley & Sons. This book was released on 2011-09-20 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible guide to developing intuition and skills for solving mathematical problems in the physical sciences and engineering Equations play a central role in problem solving across various fields of study. Understanding what an equation means is an essential step toward forming an effective strategy to solve it, and it also lays the foundation for a more successful and fulfilling work experience. Thinking About Equations provides an accessible guide to developing an intuitive understanding of mathematical methods and, at the same time, presents a number of practical mathematical tools for successfully solving problems that arise in engineering and the physical sciences. Equations form the basis for nearly all numerical solutions, and the authors illustrate how a firm understanding of problem solving can lead to improved strategies for computational approaches. Eight succinct chapters provide thorough topical coverage, including: Approximation and estimation Isolating important variables Generalization and special cases Dimensional analysis and scaling Pictorial methods and graphical solutions Symmetry to simplify equations Each chapter contains a general discussion that is integrated with worked-out problems from various fields of study, including physics, engineering, applied mathematics, and physical chemistry. These examples illustrate the mathematical concepts and techniques that are frequently encountered when solving problems. To accelerate learning, the worked example problems are grouped by the equation-related concepts that they illustrate as opposed to subfields within science and mathematics, as in conventional treatments. In addition, each problem is accompanied by a comprehensive solution, explanation, and commentary, and numerous exercises at the end of each chapter provide an opportunity to test comprehension. Requiring only a working knowledge of basic calculus and introductory physics, Thinking About Equations is an excellent supplement for courses in engineering and the physical sciences at the upper-undergraduate and graduate levels. It is also a valuable reference for researchers, practitioners, and educators in all branches of engineering, physics, chemistry, biophysics, and other related fields who encounter mathematical problems in their day-to-day work.

Author : Randall E. Schumacker
Publisher : Psychology Press
ISBN 13 : 1135641919
Total Pages : 590 pages
Book Rating : 4.17/5 ( download)

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Download or read book A Beginner's Guide to Structural Equation Modeling written by Randall E. Schumacker and published by Psychology Press. This book was released on 2004-06-24 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Rhodri Evans
Publisher : Robinson
ISBN 13 : 1472120388
Total Pages : 272 pages
Book Rating : 4.80/5 ( download)

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Download or read book Ten Physicists who Transformed our Understanding of Reality written by Rhodri Evans and published by Robinson. This book was released on 2015-11-05 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Daniel A. Fleisch
Publisher : Cambridge University Press
ISBN 13 : 1108834736
Total Pages : 237 pages
Book Rating : 4.35/5 ( download)

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Download or read book A Student's Guide to the Schrödinger Equation written by Daniel A. Fleisch and published by Cambridge University Press. This book was released on 2020-02-20 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: A clear guide to the key concepts and mathematical techniques underlying the Schrödinger equation, including homework problems and fully worked solutions.

Author : Brian Cantor
Publisher : Oxford University Press, USA
ISBN 13 : 0198851871
Total Pages : 328 pages
Book Rating : 4.75/5 ( download)

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Download or read book The Equations of Materials written by Brian Cantor and published by Oxford University Press, USA. This book was released on 2020-02-05 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This primer describes important equations of materials and the scientists who derived them. It provides an excellent introduction to the subject by making the material accessible and enjoyable. The book is dedicated to a number of propositions: 1. The most important equations are often simple and easily explained; 2. The most important equations are often experimental, confirmed time and again; 3. The most important equations have been derived by remarkable scientists who lived interesting lives. Each chapter covers a single equation and materials subject, and is structured in three sections: first, a description of the equation itself; second, a short biography of the scientist after whom it is named; and third, a discussion of some of the ramifications and applications of the equation. The biographical sections intertwine the personal and professional life of the scientist with contemporary political and scientific developments. Topics included are: Bravais lattices and crystals; Bragg's law and diffraction; the Gibbs phase rule and phases; Boltzmann's equation and thermodynamics; the Arrhenius equation and reactions; the Gibbs-Thomson equation and surfaces; Fick's laws and diffusion; the Scheil equation and solidification; the Avrami equation and phase transformations; Hooke's law and elasticity; the Burgers vector and plasticity; Griffith's equation and fracture; and the Fermi level and electrical properties. The book is written for students interested in the manufacture, structure, properties and engineering application of materials such as metals, polymers, ceramics, semiconductors and composites. It requires only a working knowledge of school maths, mainly algebra and simple calculus.