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A History of Vector Analysis: The Evolution of the Idea of a Vectorial System by Michael J. Crowe
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Our Mathematical Universe: My Quest for the Ultimate Nature of Reality
Max Tegmark - 2012
Our Big Bang, our distant future, parallel worlds, the sub-atomic and intergalactic - none of them are what they seem. But there is a way to understand this immense strangeness - mathematics. Seeking an answer to the fundamental puzzle of why our universe seems so mathematical, Tegmark proposes a radical idea: that our physical world not only is described by mathematics, but that it is mathematics. This may offer answers to our deepest questions: How large is reality? What is everything made of? Why is our universe the way it is?Table of ContentsPreface 1 What Is Reality? Not What It Seems • What’s the Ultimate Question? • The Journey Begins Part One: Zooming Out 2 Our Place in Space Cosmic Questions • How Big Is Space? • The Size of Earth • Distance to the Moon • Distance to the Sun and the Planets • Distance to the Stars • Distance to the Galaxies • What Is Space? 3 Our Place in TimeWhere Did Our Solar System Come From? • Where Did theGalaxies Come From? • Where Did the Mysterious MicrowavesCome From? • Where Did the Atoms Come From? 4 Our Universe by NumbersWanted: Precision Cosmology • Precision Microwave-Background Fluctuations • Precision Galaxy Clustering • The Ultimate Map of Our Universe • Where Did Our Big Bang Come From? 5 Our Cosmic Origins What’s Wrong with Our Big Bang? • How Inflation Works • The Gift That Keeps on Giving • Eternal Inflation 6 Welcome to the Multiverse The Level I Multiverse • The Level II Multiverse • Multiverse Halftime Roundup Part Two: Zooming In 7 Cosmic Legos Atomic Legos • Nuclear Legos • Particle-Physics Legos • Mathematical Legos • Photon Legos • Above the Law? • Quanta and Rainbows • Making Waves • Quantum Weirdness • The Collapse of Consensus • The Weirdness Can’t Be Confined • Quantum Confusion 8 The Level III Multiverse The Level III Multiverse • The Illusion of Randomness • Quantum Censorship • The Joys of Getting Scooped • Why Your Brain Isn’t a Quantum Computer • Subject, Object and Environment • Quantum Suicide • Quantum Immortality? • Multiverses Unified • Shifting Views: Many Worlds or Many Words? Part Three: Stepping Back 9 Internal Reality, External Reality and Consensus Reality External Reality and Internal Reality • The Truth, the Whole Truth and Nothing but the Truth • Consensus Reality • Physics: Linking External to Consensus Reality 10 Physical Reality and Mathematical Reality Math, Math Everywhere! • The Mathematical Universe Hypothesis • What Is a Mathematical Structure? 11 Is Time an Illusion? How Can Physical Reality Be Mathematical? • What Are You? • Where Are You? (And What Do You Perceive?) • When Are You? 12 The Level IV Multiverse Why I Believe in the Level IV Multiverse • Exploring the Level IV Multiverse: What’s Out There? • Implications of the Level IV Multiverse • Are We Living in a Simulation? • Relation Between the MUH, the Level IV Multiverse and Other Hypotheses •Testing the Level IV Multiverse 13 Life, Our Universe and Everything How Big Is Our Physical Reality? • The Future of Physics • The Future of Our Universe—How Will It End? • The Future of Life •The Future of You—Are You Insignificant? Acknowledgments Suggestions for Further Reading Index
Dunkirk
Norman Gelb - 1989
In less than three weeks, Hitler achieved the most extraordinary military triumph of modern times: Holland, Luxembourg, and Belgium had been overrun; the French army was about to collapse; and the entire British Expeditionary Force, which had been sent across the Channel to help stop the Germans, was trapped against the sea at Dunkirk. Unless they could be rescued, Britain would be left without an army. ‘Dunkirk’ is the first book to present an overview of those awful days and show the effect the battle on the beaches was having on the rest of the world. It is also the day-by-day story of a great escape, of the transformation of a massive defeat into what would ultimately prove a disaster for Germany. “Norman Gelb demonstrates in Dunkirk how productive it is to focus on an individual operation or battle … Dunkirk is both a good adventure read and an instructive case study yielding modern lessons.” — JOHN LEHMAN, Former Secretary of the Navy, The Wall Street Journal “Norman Gelb finds fresh angles … Dunkirk stands as an exemplar of the perils of vacillation and the possibilities of action.” — The New York Times Book Review “Mr. Gelb has excavated beneath surface events, delved into political and psychological factors, and produced an intelligent, fast-moving narrative.” — PROFESSOR ARNOLD AGES, Baltimore Sun — “Vivid and comprehensive … Absorbing … Sets a high standard for other reconstructions” — Kirkus Reviews NORMAN GELB was born in New York and is the author of seven highly acclaimed books, including The Berlin Wall, Scramble: A Narrative History of the Battle of Britain, and Less Than Glory. He was, for many years, correspondent for the Mutual Broadcasting System, first in Berlin and then in London. He is currently the London correspondent for New Leader magazine. Endeavour Press is the UK's leading independent digital publisher. For more information on our titles please sign up to our newsletter at www.endeavourpress.com. Each week you will receive updates on free and discounted ebooks. Follow us on Twitter: @EndeavourPress and on Facebook via http://on.fb.me/1HweQV7. We are always interested in hearing from our readers. Endeavour Press believes that the future is now.
History of Australia and New Zealand From 1606 to 1890
Alexander Sutherland - 2012
One Long Argument: Charles Darwin and the Genesis of Modern Evolutionary Thought
Ernst W. Mayr - 1991
Its effects on our view of life have been wide and deep. One of the most world-shaking books ever published, Charles Darwin's On the Origin of Species, first appeared in print over 130 years ago, and it touched off a debate that rages to this day.Every modern evolutionist turns to Darwin's work again and again. Current controversies in the life sciences very often have as their starting point some vagueness in Darwin's writings or some question Darwin was unable to answer owing to the insufficient biological knowledge available during his time. Despite the intense study of Darwin's life and work, however, many of us cannot explain his theories (he had several separate ones) and the evidence and reasoning behind them, nor do we appreciate the modifications of the Darwinian paradigm that have kept it viable throughout the twentieth century.Who could elucidate the subtleties of Darwin's thought and that of his contemporaries and intellectual heirs--A. R. Wallace, T. H. Huxley, August Weismann, Asa Gray--better than Ernst Mayr, a man considered by many to be the greatest evolutionist of the century? In this gem of historical scholarship, Mayr has achieved a remarkable distillation of Charles Darwin's scientific thought and his enormous legacy to twentieth-century biology. Here we have an accessible account of the revolutionary ideas that Darwin thrust upon the world. Describing his treatise as "one long argument," Darwin definitively refuted the belief in the divine creation of each individual species, establishing in its place the concept that all of life descended from a common ancestor. He proposed the idea that humans were not the special products of creation but evolved according to principles that operate everywhere else in the living world; he upset current notions of a perfectly designed, benign natural world and substituted in their place the concept of a struggle for survival; and he introduced probability, chance, and uniqueness into scientific discourse.This is an important book for students, biologists, and general readers interested in the history of ideas--especially ideas that have radically altered our worldview. Here is a book by a grand master that spells out in simple terms the historical issues and presents the controversies in a manner that makes them understandable from a modern perspective.
The Prince of Mathematics: Carl Friedrich Gauss
M.B.W. Tent - 2006
- predicted the reappearance of a lost planet, - discovered basic properties of magnetic forces, - invented a surveying tool used by professionals until the invention of lasers. Based on extensive research of original and secondary sources, this historical narrative will inspire young readers and even curious adults with its touching story of personal achievement.
Alan Turing: The Enigma
Andrew Hodges - 1983
His breaking of the German U-boat Enigma cipher in World War II ensured Allied-American control of the Atlantic. But Turing's vision went far beyond the desperate wartime struggle. Already in the 1930s he had defined the concept of the universal machine, which underpins the computer revolution. In 1945 he was a pioneer of electronic computer design. But Turing's true goal was the scientific understanding of the mind, brought out in the drama and wit of the famous "Turing test" for machine intelligence and in his prophecy for the twenty-first century.Drawn in to the cockpit of world events and the forefront of technological innovation, Alan Turing was also an innocent and unpretentious gay man trying to live in a society that criminalized him. In 1952 he revealed his homosexuality and was forced to participate in a humiliating treatment program, and was ever after regarded as a security risk. His suicide in 1954 remains one of the many enigmas in an astonishing life story.
Oedipus & Akhnaton: Myth & History
Immanuel Velikovsky - 1960
He constructs the story like a detective novel, putting pieces of clues together to form the whole puzzle and he makes an incredibly exciting job of it. He writes for the lay reader but he is far from condescening. His language is a joy to read. I agree with BlairBurton that the book is wildly entertaining but I resented his reference to the author as 'the premier theorist of crackpot science.' Velikovsy's 'crackpot' theories are yet to be disproved and his predictions have the uncanny habit of being proved right so that the world of the scientific community is as shaky as the description of the earth in "Worlds In Collision!" Readers will find great rewards in reading all of his works and judging for themselves. While "Oedipus and Akhnaton" is the least 'scientific' of his works it is no less fascinating and eminently readable.
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.
Geek Logik: 50 Foolproof Equations for Everyday Life
Garth Sundem - 2006
Call it the algebra oracle: By plugging in the right variables, GEEK LOGIK answers life’s most persistent questions. It covers Dating and Romance, Career and Finance, and everyday decisions like Should I get a tattoo? Can I still wear tight jeans? Is it time to see a therapist? How many beers should I have at the company picnic? How does it work? Take a simple issue that comes up once or twice a week: Should I call in sick? Fill in the variables honestly, such as D for doctor’s note (enter 1 for “no,†10 for “yes,†and 5 for “yes, but it’s a forgeryâ€), R for importance of job (1-10, with 10 being “personally responsible for Earth’s orbit around Sunâ€), Fj for how much fun you have at work (1-10, with 10 being “personal trainer for underwear modelsâ€), N for how much you need the money (1-10, with 10 being “I owe the mobâ€), then do the math, and voilà —if the product, Hooky, is greater than 1, enjoy your very own Ferris Bueller’s Day Off. Includes a pocket calculator so that prospective geeks can immediately solve the equation on the back cover: Should I buy this book?
Essays on the Theory of Numbers
Richard Dedekind - 1901
W. R. Dedekind. The first presents Dedekind's theory of the irrational number-the Dedekind cut idea-perhaps the most famous of several such theories created in the 19th century to give a precise meaning to irrational numbers, which had been used on an intuitive basis since Greek times. This paper provided a purely arithmetic and perfectly rigorous foundation for the irrational numbers and thereby a rigorous meaning of continuity in analysis.The second essay is an attempt to give a logical basis for transfinite numbers and properties of the natural numbers. It examines the notion of natural numbers, the distinction between finite and transfinite (infinite) whole numbers, and the logical validity of the type of proof called mathematical or complete induction.The contents of these essays belong to the foundations of mathematics and will be welcomed by those who are prepared to look into the somewhat subtle meanings of the elements of our number system. As a major work of an important mathematician, the book deserves a place in the personal library of every practicing mathematician and every teacher and historian of mathematics. Authorized translations by "Vooster " V. Beman.
Who Are You: The Life of Pete Townshend
Mark Wilkerson - 2006
Author Mark Wilkerson interviewed Townshend himself and several of Townshend's friends and associates for this biography.
Dead Wake: The Last Crossing of the Lusitania by Erik Larson | Chapter Compilation
Ethan Thomas - 2016
The ship was called “magnificent”, consuming as much as one hundred forty tons of coal every day even if it just stands still on the dock, and standing seven stories tall from dock to bridge. She was considered by engineers and shipbuilders as one of the finest examples of man’s ingenuity and creativity. In addition, out of all the ships that were converted for use in the war, the Lusitania was the only one that was exempted and continued on as a cruise ship. However, its job of carrying passengers across the Atlantic Ocean was not the thing that made her famous today. Read more.... Download your copy today! for a limited time discount of only $2.99! Available on PC, Mac, smart phone, tablet or Kindle device. © 2015 All Rights Reserved by Unlimited Press Works, LLC
Hidden In Plain Sight 2: The Equation of the Universe
Andrew H. Thomas - 2013
Enjoy a thrilling intergalactic tour as Andrew Thomas redefines the force of gravity and introduces a brave new view of the universe!
Physics for Scientists and Engineers, Volume 2
Raymond A. Serway - 1982
Raymond Serway, Robert Beichner, and contributing author John W. Jewett present a strong problem-solving approach that is further enhanced through increased realism in worked examples. Problem-solving strategies and hints allow students to develop a systematic approach to completing homework problems. The outstanding ancillary package includes full multimedia support, online homework, and a content-rich Web site that provides extensive support for instructors and students. The CAPA (Computer-assisted Personalized Approach), WebAssign, and University of Texas homework delivery systems give instructors flexibility in assigning online homework.
Einstein's Telescope: The Hunt for Dark Matter and Dark Energy in the Universe
Evalyn Gates - 2009
Dark matter. These strange and invisible substances don't just sound mysterious: their unexpected appearance in the cosmic census is upending long-held notions about the nature of the Universe. Astronomers have long known that the Universe is expanding, but everything they could see indicated that gravity should be slowing this spread. Instead, it appears that the Universe is accelerating its expansion and that something stronger than gravity--dark energy--is at work. In Einstein's Telescope Evalyn Gates, a University of Chicago astrophysicist, transports us to the edge of contemporary science to explore the revolutionary tool that unlocks the secrets of these little-understood cosmic constituents. Based on Einstein's theory of general relativity, gravitational lensing, or "Einstein's Telescope," is enabling new discoveries that are taking us toward the next revolution in scientific thinking--one that may change forever our notions of where the Universe came from and where it is going.