Book picks similar to
The Foundations of Mathematics by Thomas Q. Sibley
maths
maths-analysis
maths-textbook
mathématiques
The Art of Mathematics
Jerry P. King - 1992
Jerry King is no exception. His informal, nontechnical book, as its title implies, is organized around what Bertrand Russell called the 'supreme beauty' of mathematics--a beauty 'capable of a stern perfection such as only the greatest art can show.'NATUREIn this clear, concise, and superbly written volume, mathematics professor and poet Jerry P. King reveals the beauty that is at the heart of mathematics--and he makes that beauty accessible to all readers. Darting wittily from Euclid to Yeats, from Poincare to Rembrandt, from axioms to symphonies, THE ART OF MATHEMATICS explores the difference between real, rational, and complex numbers; analyzes the intellectual underpinnings of pure and applied mathematics; and reveals the fundamental connection between aesthetics and mathematics. King also sheds light on how mathematicians pursue their research and how our educational system perpetuates the damaging divisions between the two cultures.
Relativity: The Special and the General Theory
Albert Einstein - 1916
Having just completed his masterpiece, The General Theory of Relativity—which provided a brand-new theory of gravity and promised a new perspective on the cosmos as a whole—he set out at once to share his excitement with as wide a public as possible in this popular and accessible book.Here published for the first time as a Penguin Classic, this edition of Relativity features a new introduction by bestselling science author Nigel Calder.
The Principia: Mathematical Principles of Natural Philosophy
Isaac Newton - 1687
Even after more than three centuries and the revolutions of Einsteinian relativity and quantum mechanics, Newtonian physics continues to account for many of the phenomena of the observed world, and Newtonian celestial dynamics is used to determine the orbits of our space vehicles.This completely new translation, the first in 270 years, is based on the third (1726) edition, the final revised version approved by Newton; it includes extracts from the earlier editions, corrects errors found in earlier versions, and replaces archaic English with contemporary prose and up-to-date mathematical forms. Newton's principles describe acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. A great work in itself, the Principia also revolutionized the methods of scientific investigation. It set forth the fundamental three laws of motion and the law of universal gravity, the physical principles that account for the Copernican system of the world as emended by Kepler, thus effectively ending controversy concerning the Copernican planetary system.The illuminating Guide to the Principia by I. Bernard Cohen, along with his and Anne Whitman's translation, will make this preeminent work truly accessible for today's scientists, scholars, and students.
Saucer Wisdom
Rudy Rucker - 1999
That's an odd way to begin a work of popular science . . . . but amusing.Please heed the warning from the Introduction by Bruce Sterling: "If you are examining Saucer Wisdom imagining that Rudy (or some fictional 'Frank Shook') has been actually logging a lot of on board saucer time, well, you can knock that off right now. Rudy Rucker made up the flying saucer part. There is no actual flying saucer. The saucer is not an interplanetary faster-than-light device. Its what we professional authors like to call a narrative device."I'm going to spill the beans as directly as I can here: Saucer Wisdom is a work of popular science speculation. Its a nonfiction book in which Prof. Rucker takes a few quirky grains of modern scientific fact, drops them into the colorful tide pool of his own imagination, and harvests a major swarm of abalones, jellyfish, and giant anemones."Pop-science writers didn't used to treat 'science' in this boisterous way, but there might well be a trend here, there may be a real future in this. Saucer Wisdom is a book by a well-qualified mathematician and computer scientist, a veteran pop science writer, in which 'science' is treated, not as some distant and rarefied quest for absolute knowledge, but as naturally great source material for a really long, cool rant."Rucker, in character, describes, and illustrates with delightful cartoon sketches (the way he would use chalk and a blackboard while talking science), the world of the progressively more distant future as it is transformed by computer technology, biotechnology, and human evolution. He also describes a hell of a party in Berkeley. Popular science writing will never be the same.
Just Six Numbers: The Deep Forces That Shape the Universe
Martin J. Rees - 1999
There are deep connections between stars and atoms, between the cosmos and the microworld. Just six numbers, imprinted in the "big bang," determine the essential features of our entire physical world. Moreover, cosmic evolution is astonishingly sensitive to the values of these numbers. If any one of them were "untuned," there could be no stars and no life. This realization offers a radically new perspective on our universe, our place in it, and the nature of physical laws.
The Universe and the Teacup: The Mathematics of Truth and Beauty
K.C. Cole - 1998
In The Universe and the Teacup, K. C. Cole demystifies mathematics and shows us-with humor and wonderfully accessible stories-why math need not be frightening. Using the O. J. Simpson trial, the bell curve, and Emmy Noether, the nineteenth-century woman scientist whose work was essential for Einstein's theory of relativity, Cole helps us see that more than just being a tool, math is a key to understanding the beauty of everything from rainbows to relativity.
Scrabble Babble Rabble
Bruno Beaches - 2022
The stories reveal their characters and histories, but the scrabble itself is a mere transient remission from the vagaries and harshness of prison life, which continues unabated around them and through them.We are party to a voyage through calm settled waters of support, camaraderie and story-telling, to storms of violence, abuse and abject despair in a rigid, alien and unforgiving environment. We feel the emotions of the highs and lows of prison life through the victimisation, determination and hope of our players, who ultimately all show resilience in one way or another.It is a fable about humanity, garnered with wit, insight and encouragement, with a little whodunnit? thrown in for good measure.
Buddhism for Beginners: Everything You Need to Know about Buddhism for Complete Beginners (Become a Zen Master - Learn the Culture and Practices of Buddhism)
Anzan Tashi - 2014
This book - Buddhism for beginners, tackles the most basic question on Buddhism: What is the essence of Buddhism? It explains the life of Buddha in detail and also highlights the methodology that you can deploy in order to become 'Buddha' in real life. You can treat this simple book as your manual for a mindful, aware, peaceful and satisfied life. The detailed chapter on meditation not only guides you through the manner in which you can meditate, it also answers some of the most important questions related to meditation. The five percepts of Buddhism are explained with examples in simple English that everybody can understand. There is also a detailed chapter on mindfulness and living the Buddhist lifestyle in real life. Remember, Buddhism is a way of life - it is the philosophy of life and this book is not intended to modify your existing religious beliefs in any manner. It simply supplements those beliefs so that you can develop mindfulness in all your actions in order to live a blissful life! A Preview to Buddhism for Beginners - What Is Buddhism? - Who Was The Buddha? - Buddhist Traditions - The Theravada School Of Thought - The Mahayana School Of Thought - The Vajrayana School Of Thought - The Three Treasures Or Jewels Of Buddhism - The Three Poisons Or Roots Of Evil In Buddhism - The Five Percepts Of Buddhism - The Ten Grand Percepts - The Foundation Of Buddhism - The Four Noble Truths - Living The Buddhist Philosophy: The Eightfold Path - A Day In The Life Of A Buddhist - Living In The Present - Mindfulness And Meditation - Having Faith - Meditating On Koans - Karma And Reincarnation Start Getting the Benefits of Buddhism for Beginners!! Grab this book today! You can read on your Kindle, PC, MAC, Smart Phone, or Tablet! For less than a cup of coffee you can buy a book that could change your life for the better..... Simply scroll up and click the BUY button to instantly download Buddhism for Beginners: Everything You Need to Know about Buddhism for Complete Beginners Tags: Buddhism, Buddhism for Beginners, Buddhism guide, Buddhism ultimate guide, learn Buddhism, modern Buddhism, Buddha, philosophy, essence of Buddhism, Buddhism for dummies, practice Buddhism, Buddhism plain and simple
Math Without Numbers
Milo Beckman - 2021
This book upends the conventional approach to math, inviting you to think creatively about shape and dimension, the infinite and infinitesimal, symmetries, proofs, and how these concepts all fit together. What awaits readers is a freewheeling tour of the inimitable joys and unsolved mysteries of this curiously powerful subject.Like the classic math allegory Flatland, first published over a century ago, or Douglas Hofstadter's Godel, Escher, Bach forty years ago, there has never been a math book quite like Math Without Numbers. So many popularizations of math have dwelt on numbers like pi or zero or infinity. This book goes well beyond to questions such as: How many shapes are there? Is anything bigger than infinity? And is math even true? Milo Beckman shows why math is mostly just pattern recognition and how it keeps on surprising us with unexpected, useful connections to the real world.The ambitions of this book take a special kind of author. An inventive, original thinker pursuing his calling with jubilant passion. A prodigy. Milo Beckman completed the graduate-level course sequence in mathematics at age sixteen, when he was a sophomore at Harvard; while writing this book, he was studying the philosophical foundations of physics at Columbia under Brian Greene, among others.
Uncle Petros and Goldbach's Conjecture: A Novel of Mathematical Obsession
Apostolos Doxiadis - 1992
His feverish and singular pursuit of this goal has come to define his life. Now an old man, he is looked on with suspicion and shame by his family-until his ambitious young nephew intervenes.Seeking to understand his uncle's mysterious mind, the narrator of this novel unravels his story, a dramatic tale set against a tableau of brilliant historical figures-among them G. H. Hardy, the self-taught Indian genius Srinivasa Ramanujan, and a young Kurt Gödel. Meanwhile, as Petros recounts his own life's work, a bond is formed between uncle and nephew, pulling each one deeper into mathematical obsession, and risking both of their sanity.
A Tour of the Calculus
David Berlinski - 1995
Just how calculus makes these things possible and in doing so finds a correspondence between real numbers and the real world is the subject of this dazzling book by a writer of extraordinary clarity and stylistic brio. Even as he initiates us into the mysteries of real numbers, functions, and limits, Berlinski explores the furthest implications of his subject, revealing how the calculus reconciles the precision of numbers with the fluidity of the changing universe. "An odd and tantalizing book by a writer who takes immense pleasure in this great mathematical tool, and tries to create it in others."--New York Times Book Review
Flow
Philip Ball - 2008
It is the complex dynamics of flow that structures our atmosphere, land, and oceans.Part of a trilogy of books exploring the science of patterns in nature by acclaimed science writer Philip Ball, this volume explores the elusive rules that govern flow - the science of chaotic behavior.
The Great Equations: Breakthroughs in Science from Pythagoras to Heisenberg
Robert P. Crease - 2008
Crease tells the stories behind ten of the greatest equations in human history. Was Nobel laureate Richard Feynman really joking when he called Maxwell's electromagnetic equations the most significant event of the nineteenth century? How did Newton's law of gravitation influence young revolutionaries? Why has Euler's formula been called "God's equation," and why did a mysterious ecoterrorist make it his calling card? What role do betrayal, insanity, and suicide play in the second law of thermodynamics?The Great Equations tells the stories of how these equations were discovered, revealing the personal struggles of their ingenious originators. From "1 + 1 = 2" to Heisenberg's uncertainty principle, Crease locates these equations in the panoramic sweep of Western history, showing how they are as integral to their time and place of creation as are great works of art.
Hello World: Being Human in the Age of Algorithms
Hannah Fry - 2018
It’s time we stand face-to-digital-face with the true powers and limitations of the algorithms that already automate important decisions in healthcare, transportation, crime, and commerce. Hello World is indispensable preparation for the moral quandaries of a world run by code, and with the unfailingly entertaining Hannah Fry as our guide, we’ll be discussing these issues long after the last page is turned.
Lectures on the Foundations of Mathematics, Cambridge 1939
Ludwig Wittgenstein - 1989
A lecture class taught by Wittgenstein, however, hardly resembled a lecture. He sat on a chair in the middle of the room, with some of the class sitting in chairs, some on the floor. He never used notes. He paused frequently, sometimes for several minutes, while he puzzled out a problem. He often asked his listeners questions and reacted to their replies. Many meetings were largely conversation. These lectures were attended by, among others, D. A. T. Gasking, J. N. Findlay, Stephen Toulmin, Alan Turing, G. H. von Wright, R. G. Bosanquet, Norman Malcolm, Rush Rhees, and Yorick Smythies. Notes taken by these last four are the basis for the thirty-one lectures in this book. The lectures covered such topics as the nature of mathematics, the distinctions between mathematical and everyday languages, the truth of mathematical propositions, consistency and contradiction in formal systems, the logicism of Frege and Russell, Platonism, identity, negation, and necessary truth. The mathematical examples used are nearly always elementary.