Book picks similar to
The Continuum: A Critical Examination of the Foundation of Analysis by Hermann Weyl
mathematics
history
philosophy
math
Do You QuantumThink?: New Thinking That Will Rock Your World
Dianne Collins - 2011
We're all looking for new ways of thinking that can bring about real solutions to modern problems, from the pursuit of inner serenity to solving world conflicts. In Do You QuantumThink? author Dianne Collins shares her ingenious discovery that reveals a critical missing link to make sense of our changing times. Her discovery provides us with the understanding and methodology to rise above problems of today by laying the foundation for an entirely new way to think.Part science, part philosophy, part spirituality, Do You QuantumThink? draws on a wide spectrum of sources, from cutting edge innovations in the sciences to the insights of the world's greatest spiritual leaders. This book will make you laugh, free you from limiting ideas, and introduce you to the most advanced principles and practical methods for living. Do You QuantumThink? will rock your world in the best of ways as you experience one revelation after another.
Applied Mathematics: A Very Short Introduction
Alain Goriely - 2018
While pure mathematics is mostly interested in abstract structures, applied mathematics sits at the interface between this abstract world and the world inwhich we live. This area of mathematics takes its nourishment from society and science and, in turn, provides a unified way to understand problems arising in diverse fields.This Very Short Introduction presents a compact yet comprehensive view of the field of applied mathematics, and explores its relationships with (pure) mathematics, science, and engineering. Explaining the nature of applied mathematics, Alain Goriely discusses its early achievements in physics andengineering, and its development as a separate field after World War II. Using historical examples, current applications, and challenges, Goriely illustrates the particular role that mathematics plays in the modern sciences today and its far-reaching potential.ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, andenthusiasm to make interesting and challenging topics highly readable.
A History of π
Petr Beckmann - 1970
Petr Beckmann holds up this mirror, giving the background of the times when pi made progress -- and also when it did not, because science was being stifled by militarism or religious fanaticism.
Stalking the Riemann Hypothesis: The Quest to Find the Hidden Law of Prime Numbers
Dan Rockmore - 2005
Now, at a moment when mathematicians are finally moving in on a proof, Dartmouth professor Dan Rockmore tells the riveting history of the hunt for a solution.In 1859 German professor Bernhard Riemann postulated a law capable of describing with an amazing degree of accuracy the occurrence of the prime numbers. Rockmore takes us all the way from Euclid to the mysteries of quantum chaos to show how the Riemann hypothesis lies at the very heart of some of the most cutting-edge research going on today in physics and mathematics.
Unscientific America: How Scientific Illiteracy Threatens Our Future
Chris C. Mooney - 2009
Snow described science and the humanities as "two cultures," separated by a "gulf of mutual incomprehension." And the humanists had all the cultural power--the low prestige of science, Snow argued, left Western leaders too little educated in scientific subjects that were increasingly central to world problems: the elementary physics behind nuclear weapons, for instance, or the basics of plant science needed to feed the world's growing population.Now, Chris Mooney and Sheril Kirshenbaum, a journalist-scientist team, offer an updated "two cultures" polemic for America in the 21st century. Just as in Snow's time, some of our gravest challenges--climate change, the energy crisis, national economic competitiveness--and gravest threats--global pandemics, nuclear proliferation--have fundamentally scientific underpinnings. Yet we still live in a culture that rarely takes science seriously or has it on the radar.For every five hours of cable news, less than a minute is devoted to science; 46 percent of Americans reject evolution and think the Earth is less than 10,000 years old; the number of newspapers with weekly science sections has shrunken by two-thirds over the past several decades. The public is polarized over climate change--an issue where political party affiliation determines one's view of reality--and in dangerous retreat from childhood vaccinations. Meanwhile, only 18 percent of Americans have even met a scientist to begin with; more than half can't name a living scientist role model.For this dismaying situation, Mooney and Kirshenbaum don't let anyone off the hook. They highlight the anti-intellectual tendencies of the American public (and particularly the politicians and journalists who are supposed to serve it), but also challenge the scientists themselves, who despite the best of intentions have often failed to communicate about their work effectively to a broad public--and so have ceded their critical place in the public sphere to religious and commercial propagandists.A plea for enhanced scientific literacy, Unscientific America urges those who care about the place of science in our society to take unprecedented action. We must begin to train a small army of ambassadors who can translate science's message and make it relevant to the media, to politicians, and to the public in the broadest sense. An impassioned call to arms worthy of Snow's original manifesto, this book lays the groundwork for reintegrating science into the public discourse--before it's too late.
Fourier Series
Georgi P. Tolstov - 1976
Over 100 problems at ends of chapters. Answers in back of book. 1962 edition.
Elementary Solid State Physics: Principles and Applications
M. Ali Omar - 1975
I also hope that it will serve as a useful reference too for the many workers engaged in one type of solid state research activity or another, who may be without formal training in the subject.
Chance and Chaos
David Ruelle - 1991
How do scientists look at chance, or randomness, and chaos in physical systems? In answering this question for a general audience, Ruelle writes in the best French tradition: he has produced an authoritative and elegant book--a model of clarity, succinctness, and a humor bordering at times on the sardonic.
How to Lie with Statistics
Darrell Huff - 1954
Darrell Huff runs the gamut of every popularly used type of statistic, probes such things as the sample study, the tabulation method, the interview technique, or the way the results are derived from the figures, and points up the countless number of dodges which are used to fool rather than to inform.
The Poincaré Conjecture: In Search of the Shape of the Universe
Donal O'Shea - 2007
He revolutionized the field of topology, which studies properties of geometric configurations that are unchanged by stretching or twisting. The Poincare conjecture lies at the heart of modern geometry and topology, and even pertains to the possible shape of the universe. The conjecture states that there is only one shape possible for a finite universe in which every loop can be contracted to a single point.Poincare's conjecture is one of the seven "millennium problems" that bring a one-million-dollar award for a solution. Grigory Perelman, a Russian mathematician, has offered a proof that is likely to win the Fields Medal, the mathematical equivalent of a Nobel prize, in August 2006. He also will almost certainly share a Clay Institute millennium award.In telling the vibrant story of The Poincare Conjecture, Donal O'Shea makes accessible to general readers for the first time the meaning of the conjecture, and brings alive the field of mathematics and the achievements of generations of mathematicians whose work have led to Perelman's proof of this famous conjecture.
Why Israel is the Victim
David Horowitz - 2009
David Horowitz’s classic Why Israel is the Victim, updated by the author, sets the record straight about the basic truths of the Middle East conflict. In addition to restoring the authentic history of the region – a history of obsessive aggression first by Arab countries determined to physically annihilate the Jewish State and later by terror groups determined to destroy its will to survive and right to exist—this booklet brings the story up to date by showing the systematic way in which Hamas and Hezbollah, under Iran’s direction, have subverted peace in the Middle East. As Shillman Fellow Daniel Greenfield notes in his insightful introduction, this pamphlet “tells us why we should reject the “Blame Israel First” narrative that has so thoroughly saturated the mainstream media… It confronts the myth of Palestinian victimhood… and it delivers a rousing restatement of the true history of the hate that led us to all this.” America should be Israel’s protector. Instead, as David Horowitz notes, under the leadership of Barack Obama, it has become its prosecutor.
Einstein's Unfinished Symphony: Listening to the Sounds of Space-Time
Marcia Bartusiak - 2000
Their quest: to be the first to detect gravitational waves, infinitesimal quakes that stretch and compress space-time and could add a brand-new dimension to our universal knowledge-allowing us to hear a sun going supernova, black holes colliding, and perhaps one day, the remnant rumble of the Big Bang itself...
Time Reborn: From the Crisis in Physics to the Future of the Universe
Lee Smolin - 2013
You experience it passing every day when you watch clocks tick, bread toast, and children grow. But most physicists see things differently, from Newton to Einstein to today’s quantum theorists. For them, time isn’t real. You may think you experience time passing, but they say it’s just an illusion.Lee Smolin, author of the controversial bestseller The Trouble with Physics, argues this limited notion of time is holding physics back. It’s time for a major revolution in scientific thought. The reality of time could be the key to the next big breakthrough in theoretical physics.What if the laws of physics themselves were not timeless? What if they could evolve? Time Reborn offers a radical new approach to cosmology that embraces the reality of time and opens up a whole new universe of possibilties. There are few ideas that, like our notion of time, shape our thinking about literally everything, with major implications for physics and beyond—from climate change to the economic crisis. Smolin explains in lively and lucid prose how the true nature of time impacts our world.
Things to Make and Do in the Fourth Dimension
Matt Parker - 2014
This book can be cut, drawn in, folded into shapes and will even take you to the fourth dimension. So join stand-up mathematician Matt Parker on a journey through narcissistic numbers, optimal dating algorithms, at least two different kinds of infinity and more.
The End of Time: The Next Revolution in Our Understanding of the Universe
Julian Barbour - 1999
Although the laws of physics create a powerful impression that time is flowing, in fact there are only timeless `nows'. In The End of Time, the British theoretical physicist Julian Barbour describes the coming revolution in our understanding of the world: a quantum theory of the universe that brings together Einstein's general theory of relativity - which denies the existence of a unique time - and quantum mechanics - which demands one. Barbour believes that only the most radical of ideas can resolve the conflict between these two theories: that there is, quite literally, no time at all. The End of Time is the first full-length account of the crisis in our understanding that has enveloped quantum cosmology. Unifying thinking that has never been brought together before in a book for the general reader, Barbour reveals the true architecture of the universe and demonstrates how physics is coming up sharp against the extraordinary possibility that the sense of time passing emerges from a universe that is timeless. The heart of the book is the author's lucid description of how a world of stillness can appear to be teeming with motion: in this timeless world where all possible instants coexist, complex mathematical rules of quantum mechanics bind together a special selection of these instants in a coherent order that consciousness perceives as the flow of time. Finally, in a lucid and eloquent epilogue, the author speculates on the philosophical implications of his theory: Does free will exist? Is time travel possible? How did the universe begin? Where is heaven? Does the denial of time make life meaningless? Written with exceptional clarity and elegance, this profound and original work presents a dazzlingly powerful argument that all will be able to follow, but no-one with an interest in the workings of the universe will be able to ignore.