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"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.
Book Synopsis The Great Equations: Breakthroughs in Science from Pythagoras to Heisenberg by : Robert P. Crease
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.
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.
Book Synopsis A Brief Guide to the Great Equations by : Robert Crease
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 260 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.
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.
Book Synopsis A Student's Guide to Maxwell's Equations by : Daniel Fleisch
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.
This illuminating history explores the complex relationship between mathematics, religious belief, and Victorian culture. Throughout history, application rather than abstraction has been the prominent driving force in mathematics. From the compass and sextant to partial differential equations, mathematical advances were spurred by the desire for better navigation tools, weaponry, and construction methods. But the religious upheaval in Victorian England and the fledgling United States opened the way for the rediscovery of pure mathematics, a tradition rooted in Ancient Greece. In Equations from God, Daniel J. Cohen captures the origins of the rebirth of abstract mathematics in the intellectual quest to rise above common existence and touch the mind of the deity. Using an array of published and private sources, Cohen shows how philosophers and mathematicians seized upon the beautiful simplicity inherent in mathematical laws to reconnect with the divine and traces the route by which the divinely inspired mathematics of the Victorian era begot later secular philosophies.
Book Synopsis Equations from God by : Daniel J. Cohen
Download or read book Equations from God written by Daniel J. Cohen and published by JHU Press. This book was released on 2007-04-08 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This illuminating history explores the complex relationship between mathematics, religious belief, and Victorian culture. Throughout history, application rather than abstraction has been the prominent driving force in mathematics. From the compass and sextant to partial differential equations, mathematical advances were spurred by the desire for better navigation tools, weaponry, and construction methods. But the religious upheaval in Victorian England and the fledgling United States opened the way for the rediscovery of pure mathematics, a tradition rooted in Ancient Greece. In Equations from God, Daniel J. Cohen captures the origins of the rebirth of abstract mathematics in the intellectual quest to rise above common existence and touch the mind of the deity. Using an array of published and private sources, Cohen shows how philosophers and mathematicians seized upon the beautiful simplicity inherent in mathematical laws to reconnect with the divine and traces the route by which the divinely inspired mathematics of the Victorian era begot later secular philosophies.
Is there a secret formula for getting rich? For going viral? For deciding how long to stick with your current job, Netflix series, or even relationship? This book is all about the equations that make our world go round. Ten of them, in fact. They are integral to everything from investment banking to betting companies and social media giants. And they can help you to increase your chance of success, guard against financial loss, live more healthfully, and see through scaremongering. They are known by only the privileged few - until now. With wit and clarity, mathematician David Sumpter shows that it isn't the technical details that make these formulas so successful. It is the way they allow mathematicians to view problems from a different angle - a way of seeing the world that anyone can learn. Empowering and illuminating, The Ten Equations shows how math really can change your life.
Book Synopsis The Ten Equations That Rule the World by : David Sumpter
Download or read book The Ten Equations That Rule the World written by David Sumpter and published by Flatiron Books. This book was released on 2021-08-24 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is there a secret formula for getting rich? For going viral? For deciding how long to stick with your current job, Netflix series, or even relationship? This book is all about the equations that make our world go round. Ten of them, in fact. They are integral to everything from investment banking to betting companies and social media giants. And they can help you to increase your chance of success, guard against financial loss, live more healthfully, and see through scaremongering. They are known by only the privileged few - until now. With wit and clarity, mathematician David Sumpter shows that it isn't the technical details that make these formulas so successful. It is the way they allow mathematicians to view problems from a different angle - a way of seeing the world that anyone can learn. Empowering and illuminating, The Ten Equations shows how math really can change your life.
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.
Book Synopsis Thinking About Equations by : Matt A. Bernstein
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.
A clear guide to the key concepts and mathematical techniques underlying the Schrödinger equation, including homework problems and fully worked solutions.
Book Synopsis A Student's Guide to the Schrödinger Equation by : Daniel A. Fleisch
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.
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.
Book Synopsis Ten Physicists who Transformed our Understanding of Reality by : Rhodri Evans
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.
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.
Book Synopsis The Equations World by : Boris Pritsker
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.
While we may be familiar with some of sciences 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 historys greatest equations, from the first equation, 1 + 1 = 2, which promises a rational, well-ordered world, to Heisenbergs 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. -- Publisher description.
Book Synopsis The Great Equations by : Robert P. Crease
Download or read book The Great Equations written by Robert P. Crease and published by W. W. Norton & Company. This book was released on 2008 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: While we may be familiar with some of sciences 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 historys greatest equations, from the first equation, 1 + 1 = 2, which promises a rational, well-ordered world, to Heisenbergs 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. -- Publisher description.
