Book picks similar to
Techniques and Applications of Path Integration by L.S. Schulman
physics
mathematics
quantum
science-math
The Whole Shebang: A State-of-the-Universe[s] Report
Timothy Ferris - 1997
Timothy Ferris provides a clear, elegantly written overview of current research and a forecast of where cosmological theory is likely to go in the twenty-first century. He explores the questions that have occurred to even casual readers -- who are curious about nature on the largest scales: What does it mean to say that the universe is "expanding," or that space is "curved"? -- and sheds light on the possibility that our universe is only one among many universes, each with its own physical laws and prospects for the emergence of life.
The Simpsons and Their Mathematical Secrets
Simon Singh - 2013
That they exist, Simon Singh reveals, underscores the brilliance of the shows' writers, many of whom have advanced degrees in mathematics in addition to their unparalleled sense of humor. While recounting memorable episodes such as “Bart the Genius” and “Homer3,” Singh weaves in mathematical stories that explore everything from p to Mersenne primes, Euler's equation to the unsolved riddle of P v. NP; from perfect numbers to narcissistic numbers, infinity to even bigger infinities, and much more. Along the way, Singh meets members of The Simpsons' brilliant writing team-among them David X. Cohen, Al Jean, Jeff Westbrook, and Mike Reiss-whose love of arcane mathematics becomes clear as they reveal the stories behind the episodes. With wit and clarity, displaying a true fan's zeal, and replete with images from the shows, photographs of the writers, and diagrams and proofs, The Simpsons and Their Mathematical Secrets offers an entirely new insight into the most successful show in television history.
From Eternity to Here: The Quest for the Ultimate Theory of Time
Sean Carroll - 2009
In the hands of one of today’s hottest young physicists, that simple fact of breakfast becomes a doorway to understanding the Big Bang, the universe, and other universes, too. In From Eternity to Here, Sean Carroll argues that the arrow of time, pointing resolutely from the past to the future, owes its existence to conditions before the Big Bang itself, a period modern cosmology of which Einstein never dreamed. Increasingly, though, physicists are going out into realms that make the theory of relativity seem like child’s play. Carroll’s scenario is not only elegant, it’s laid out in the same easy-to- understand language that has made his group blog, Cosmic Variance, the most popular physics blog on the Net. From Eternity to Here uses ideas at the cutting edge of theoretical physics to explore how properties of spacetime before the Big Bang can explain the flow of time we experience in our everyday lives. Carroll suggests that we live in a baby universe, part of a large family of universes in which many of our siblings experience an arrow of time running in the opposite direction. It’s an ambitious, fascinating picture of the universe on an ultra-large scale, one that will captivate fans of popular physics blockbusters like Elegant Universe and A Brief History of Time.
21 Speeches That Shaped Our World: The people and ideas that changed the way we think
Chris Abbott - 2010
He examines the power of the arguments embedded in these speeches to inspire people to achieve great things, or do great harm. Abbott draws upon his political expertise to explain how our current understanding of the world is rooted in pivotal moments of history. These moments are captured in the words of a range of influential speakers including: Emmeline Pankhurst, Martin Luther King, Jr, Enoch Powell, Napoleon Beazley, Kevin Rudd, Alexander Solzhenitsyn, Ronald Reagan, George W. Bush, Osama bin Laden, Margaret Beckett, Winston Churchill, Salvador Allende, Margaret Thatcher, Tony Blair, Tim Collins, Mohandas Gandhi, Dwight D. Eisenhower, Robin Cook and Barack Obama. The speeches in this book are arranged thematically, linked by concepts such as 'might is right', 'with us or against us' and 'give peace a chance'. Each transcript is accompanied by an insightful commentary that analyses how the words relate to our modern society. Fresh and relevant, this is a book that will make you stop in your tracks and think about what is really happening in the world today.
Fundamentals: Ten Keys to Reality
Frank Wilczek - 2021
. . . Wilczek writes with breathtaking economy and clarity, and his pleasure in his subject is palpable." --The New York Times Book Review One of our great contemporary scientists reveals the ten profound insights that illuminate what everyone should know about the physical worldIn Fundamentals, Nobel laureate Frank Wilczek offers the reader a simple yet profound exploration of reality based on the deep revelations of modern science. With clarity and an infectious sense of joy, he guides us through the essential concepts that form our understanding of what the world is and how it works. Through these pages, we come to see our reality in a new way--bigger, fuller, and stranger than it looked before.Synthesizing basic questions, facts, and dazzling speculations, Wilczek investigates the ideas that form our understanding of the universe: time, space, matter, energy, complexity, and complementarity. He excavates the history of fundamental science, exploring what we know and how we know it, while journeying to the horizons of the scientific world to give us a glimpse of what we may soon discover. Brilliant, lucid, and accessible, this celebration of human ingenuity and imagination will expand your world and your mind.
Nirvana: The Chosen Rejects
Kurt St. Thomas - 2004
No rock star contrivance, no intellectual perspective, no master plan for world domination. You're talking about four guys from rural Washington who wanna rock..."--Everett True, Melody Maker, March 18th, 1989In 1992, Nirvana's breakthrough anthem, "Smells Like Teen Spirit," introduced a new underground sound to the mainstream music world. The record-breaking sales and global recognition that followed should have been a welcomed payoff for the hard-working punk band. Instead, that bright optimism quickly faded into bitter dissatisfaction, as the trio became conflicted about their unexpected success, and about having an audience that was the epitome of everything they had attempted to rebel against.Nirvana's sonic catapult from obscurity to international stardom and their chart-topping success changed the face of rock music world-wide. In Nirvana: The Chosen Rejects, the authors have used a wealth of sources, including personal interviews with Kurt Cobain, Krist Novoselic and Dave Grohl, in order to reconstruct Nirvana's meteoric rise and the subsequent fall of their troubled lead singer. The result is a front row perspective of the musical influences that helped nurture Nirvana's seminal sound, the stories about the creation of their albums, and the ideas that shaped their songs. Nirvana: The Chosen Rejects also contains a comprehensive discography and an A-Z listing of every Nirvana song officially released.Kurt St. Thomas and Troy Smith were an award-winning programming team at WFNX-FM, Boston (MA), one of the nation's top alternative radio stations in the early 1990's. The pair wrote and produced the definitive Nirvana interview compact disc, Nevermind, It's an Interview, as well as interview CDs for Paul Weller, The Breeders, and Frank Black. St. Thomas lives in New York City, and Smith resides on Cape Cod, MA.
Love and Math: The Heart of Hidden Reality
Edward Frenkel - 2013
In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space.Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man’s journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century’s leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat’s last theorem, that had seemed intractable before.At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.
Infinite Powers: How Calculus Reveals the Secrets of the Universe
Steven H. Strogatz - 2019
We wouldn’t have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket. Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz’s brilliantly creative, down‑to‑earth history shows that calculus is not about complexity; it’s about simplicity. It harnesses an unreal number—infinity—to tackle real‑world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel miraculous. Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves (a phenomenon predicted by calculus). Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes “backwards” sometimes; how to make electricity with magnets; how to ensure your rocket doesn’t miss the moon; how to turn the tide in the fight against AIDS. As Strogatz proves, calculus is truly the language of the universe. By unveiling the principles of that language, Infinite Powers makes us marvel at the world anew.
Journey through Genius: The Great Theorems of Mathematics
William Dunham - 1990
Now William Dunham gives them the attention they deserve.Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics.A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity.
Isaac Newton
James Gleick - 2003
When he died in London in 1727 he was so renowned he was given a state funeral—an unheard-of honor for a subject whose achievements were in the realm of the intellect. During the years he was an irascible presence at Trinity College, Cambridge, Newton imagined properties of nature and gave them names—mass, gravity, velocity—things our science now takes for granted. Inspired by Aristotle, spurred on by Galileo’s discoveries and the philosophy of Descartes, Newton grasped the intangible and dared to take its measure, a leap of the mind unparalleled in his generation.James Gleick, the author of Chaos and Genius, and one of the most acclaimed science writers of his generation, brings the reader into Newton’s reclusive life and provides startlingly clear explanations of the concepts that changed forever our perception of bodies, rest, and motion. Ideas so basic to the twenty-first century we literally take them for granted.
God Created the Integers: The Mathematical Breakthroughs That Changed History
Stephen Hawking - 2005
In this collection of landmark mathematical works, editor Stephen Hawking has assembled the greatest feats humans have ever accomplished using just numbers and their brains.
Unknown Quantity: A Real and Imaginary History of Algebra
John Derbyshire - 2006
As he did so masterfully in Prime Obsession, Derbyshire brings the evolution of mathematical thinking to dramatic life by focusing on the key historical players. Unknown Quantity begins in the time of Abraham and Isaac and moves from Abel's proof to the higher levels of abstraction developed by Galois through modern-day advances. Derbyshire explains how a simple turn of thought from this plus this equals this to this plus what equals this? gave birth to a whole new way of perceiving the world. With a historian's narrative authority and a beloved teacher's clarity and passion, Derbyshire leads readers on an intellectually satisfying and pleasantly challenging historical and mathematical journey.
Lives of the Planets: A Natural History of the Solar System
Richard Corfield - 2007
Planetary science has mainly been a descriptive science, but it is becoming increasingly experimental. The space probes that went up between the 1960s and 1990s were primarily generalists-they collected massive amounts of information so that scientists could learn what questions to pursue. But recent missions have become more focused: Scientists know better what information they want and how to collect it. Even now probes are on their way to Mercury, Venus, Mars, and Pluto, with Europa-one of Jupiter's moons-on the agenda. In a sweeping look into the manifold objects inhabiting the depths of space, Lives of the Planets delves into the mythology and the knowledge humanity has built over the ages. Placing our current understanding in historical context, Richard Corfield explores the seismic shifts in planetary astronomy and probes why we must change our perspective of our place in the universe. In our era of extraordinary discovery, this is the first comprehensive survey of this new understanding and the history of how we got here.
The Fractalist: Memoir of a Scientific Maverick
Benoît B. Mandelbrot - 2011
In The Fractalist, Mandelbrot recounts the high points of his life with exuberance and an eloquent fluency, deepening our understanding of the evolution of his extraordinary mind. We begin with his early years: born in Warsaw in 1924 to a Lithuanian Jewish family, Mandelbrot moved with his family to Paris in the 1930s, where he was mentored by an eminent mathematician uncle. During World War II, as he stayed barely one step ahead of the Nazis until France was liberated, he studied geometry on his own and dreamed of using it to solve fresh, real-world problems. We observe his unusually broad education in Europe, and later at Caltech, Princeton, and MIT. We learn about his thirty-five-year affiliation with IBM’s Thomas J. Watson Research Center and his association with Harvard and Yale. An outsider to mainstream scientific research, he managed to do what others had thought impossible: develop a new geometry that combines revelatory beauty with a radical way of unfolding formerly hidden laws governing utter roughness, turbulence, and chaos. Here is a remarkable story of both the man’s life and his unparalleled contributions to science, mathematics, and the arts.
In Pursuit of the Unknown: 17 Equations That Changed the World
Ian Stewart - 2012
We often overlook the historical link between mathematics and technological advances, says Stewart—but this connection is integral to any complete understanding of human history.Equations are modeled on the patterns we find in the world around us, says Stewart, and it is through equations that we are able to make sense of, and in turn influence, our world. Stewart locates the origins of each equation he presents—from Pythagoras's Theorem to Newton's Law of Gravity to Einstein's Theory of Relativity—within a particular historical moment, elucidating the development of mathematical and philosophical thought necessary for each equation's discovery. None of these equations emerged in a vacuum, Stewart shows; each drew, in some way, on past equations and the thinking of the day. In turn, all of these equations paved the way for major developments in mathematics, science, philosophy, and technology. Without logarithms (invented in the early 17th century by John Napier and improved by Henry Briggs), scientists would not have been able to calculate the movement of the planets, and mathematicians would not have been able to develop fractal geometry. The Wave Equation is one of the most important equations in physics, and is crucial for engineers studying the vibrations in vehicles and the response of buildings to earthquakes. And the equation at the heart of Information Theory, devised by Claude Shannon, is the basis of digital communication today.An approachable and informative guide to the equations upon which nearly every aspect of scientific and mathematical understanding depends, In Pursuit of the Unknown is also a reminder that equations have profoundly influenced our thinking and continue to make possible many of the advances that we take for granted.