Book picks similar to
The Continuum: A Critical Examination of the Foundation of Analysis by Hermann Weyl
mathematics
history
philosophy
set-theory
From 0 to Infinity in 26 Centuries: The Extraordinary Story of Maths
Chris Waring - 2012
Book by Waring, Chris
The Creative Spark: How Imagination Made Humans Exceptional
Agustín Fuentes - 2017
It is the secret of what makes humans special, hiding in plain sight. Agustin Fuentes argues that your child's finger painting comes essentially from the same place as creativity in hunting and gathering millions of years ago, and throughout history in making war and peace, in intimate relationships, in shaping the planet, in our communities, and in all of art, religion, and even science.It requires imagination and collaboration. Every poet has her muse; every engineer, an architect; every politician, a constituency. The manner of the collaborations varies widely, but successful collaboration is inseparable from imagination, and it brought us everything from knives and hot meals to iPhones and interstellar spacecraft.Weaving fascinating stories of our ancient ancestors' creativity, Fuentes finds the patterns that match modern behavior in humans and animals. This key quality has propelled the evolutionary development of our bodies, minds, and cultures, both for good and for bad. It's not the drive to reproduce; nor competition for mates, or resources, or power; nor our propensity for caring for one another that have separated us out from all other creatures.As Fuentes concludes, to make something lasting and useful today you need to understand the nature of your collaboration with others, what imagination can and can't accomplish, and, finally, just how completely our creativity is responsible for the world we live in. Agustin Fuentes's resounding multimillion-year perspective will inspire readers and spark all kinds of creativity.
The Little Book of Mathematical Principles, Theories, & Things
Robert Solomon - 2008
Rare Book
Deciphering the Cosmic Number: The Strange Friendship of Wolfgang Pauli and Carl Jung
Arthur I. Miller - 2009
Pauli was fascinated by the inner reaches of his own psyche and not afraid to dabble in the occult, while Jung looked to science for answers to the psychological questions that tormented him. Their rich friendship led them, in Jung’s words, into “the no-man’s land between physics and the psychology of the unconscious . . . the most fascinating yet the darkest hunting ground of our times.” Both were obsessed with the far-reaching significance of the number “137”—a primal number that seemed to hint at the origins of the universe itself. Their quest to solve its enigma led them on a lifelong journey into the ancient secrets of alchemy, the work of Johannes Kepler, and the Chinese Book of Changes. This is the captivating story of an extraordinary and fruitful collaboration between two of the greatest thinkers of the twentieth century.
The Calculus Story: A Mathematical Adventure
David Acheson - 2017
It is the mathematical method for the analysis of things that change, and since in the natural world we are surrounded by change, the development of calculus was a huge breakthrough in the history of mathematics. But it is also something of a mathematical adventure, largely because of the way infinity enters at virtually every twist and turn...In The Calculus Story David Acheson presents a wide-ranging picture of calculus and its applications, from ancient Greece right up to the present day. Drawing on their original writings, he introduces the people who helped to build our understanding of calculus. With a step by step treatment, he demonstrates how to start doing calculus, from the very beginning.
The Beginning of Infinity: Explanations That Transform the World
David Deutsch - 2011
Taking us on a journey through every fundamental field of science, as well as the history of civilization, art, moral values, and the theory of political institutions, Deutsch tracks how we form new explanations and drop bad ones, explaining the conditions under which progress—which he argues is potentially boundless—can and cannot happen. Hugely ambitious and highly original, The Beginning of Infinity explores and establishes deep connections between the laws of nature, the human condition, knowledge, and the possibility for progress.
Whom the Gods Love: The Story of Evariste Gaolois (Classics in mathematics education ; v. 7)
Leopold Infeld - 1950
The Big Questions: Tackling the Problems of Philosophy with Ideas from Mathematics, Economics and Physics
Steven E. Landsburg - 2009
Stimulating, illuminating, and always surprising, The Big Questions challenges readers to re-evaluate their most fundamental beliefs and reveals the relationship between the loftiest philosophical quests and our everyday lives.
For and Against Method: Including Lakatos's Lectures on Scientific Method and the Lakatos-Feyerabend Correspondence
Imre Lakatos - 1995
'Paul,' he said, 'you have such strange ideas. Why don't you write them down? I shall write a reply, we publish the whole thing and I promise you—we shall have a lot of fun.' " Although Lakatos died before he could write his reply, For and Against Method reconstructs his original counter-arguments from lectures and correspondence previously unpublished in English, allowing us to enjoy the "fun" two of this century's most eminent philosophers had, matching their wits and ideas on the subject of the scientific method.For and Against Method opens with an imaginary dialogue between Lakatos and Feyerabend, which Matteo Motterlini has constructed, based on their published works, to synthesize their positions and arguments. Part one presents the transcripts of the last lectures on method that Lakatos delivered. Part two, Feyerabend's response, consists of a previously published essay on anarchism, which began the attack on Lakatos's position that Feyerabend later continued in Against Method. The third and longest section consists of the correspondence Lakatos and Feyerabend exchanged on method and many other issues and ideas, as well as the events of their daily lives, between 1968 and Lakatos's death in 1974.The delight Lakatos and Feyerabend took in philosophical debate, and the relish with which they sparred, come to life again in For and Against Method, making it essential and lively reading for anyone interested in these two fascinating and controversial thinkers and their immense contributions to philosophy of science."The writings in this volume are of considerable intellectual importance, and will be of great interest to anyone concerned with the development of the philosophical views of Lakatos and Feyerabend, or indeed with the development of philosophy of science in general during this crucial period."—Donald Gillies, British Journal for the Philosophy of Science (on the Italian edition)"A stimulating exchange of letters between two philosophical entertainers."—Tariq Ali, The IndependentImre Lakatos (1922-1974) was professor of logic at the London School of Economics. He was the author of Proofs and Refutations and the two-volume Philosophical Papers. Paul Feyerabend (1924-1994) was educated in Europe and held numerous teaching posts throughout his career. Among his books are Against Method; Science in a Free Society; Farewell to Reason; and Killing Time: The Autobiography of Paul Feyerabend, the last published by the University of Chicago Press.
Physics for Scientists and Engineers, Volume 1
Raymond A. Serway - 2003
However, rather than resting on that reputation, the new edition of this text marks a significant advance in the already excellent quality of the book. While preserving concise language, state of the art educational pedagogy, and top-notch worked examples, the Eighth Edition features a unified art design as well as streamlined and carefully reorganized problem sets that enhance the thoughtful instruction for which Raymond A. Serway and John W. Jewett, Jr. earned their reputations. Likewise, PHYSICS FOR SCIENTISTS AND ENGINEERS, will continue to accompany Enhanced WebAssign in the most integrated text-technology offering available today. In an environment where new Physics texts have appeared with challenging and novel means to teach students, this book exceeds all modern standards of education from the most solid foundation in the Physics market today.
The Master Algorithm: How the Quest for the Ultimate Learning Machine Will Remake Our World
Pedro Domingos - 2015
In The Master Algorithm, Pedro Domingos lifts the veil to give us a peek inside the learning machines that power Google, Amazon, and your smartphone. He assembles a blueprint for the future universal learner--the Master Algorithm--and discusses what it will mean for business, science, and society. If data-ism is today's philosophy, this book is its bible.
Soccermatics: Mathematical Adventures in the Beautiful Game
David Sumpter - 2016
How to make sense of them? The answer lies in mathematical modeling, a science with applications in a host of biological systems. Soccermatics brings the two together in a fascinating, mind-bending synthesis.What's the similarity between an ant colony and Total Football, Dutch style? How is the Barcelona midfield linked geometrically? And how can we relate the mechanics of a Mexican Wave to the singing of cicadas in an Australian valley? Welcome to the world of mathematical modeling, expressed brilliantly by David Sumpter through the prism of soccer. Soccer is indeed more than a game and this book is packed with game theory. After reading it, you will forever watch the game with new eyes.
A More Perfect Heaven: How Copernicus Revolutionized the Cosmos
Dava Sobel - 2011
Over the next two decades, Copernicus expanded his theory through hundreds of observations, while compiling in secret a book-length manuscript that tantalized mathematicians and scientists throughout Europe. For fear of ridicule, he refused to publish.In 1539, a young German mathematician, Georg Joachim Rheticus, drawn by rumors of a revolution to rival the religious upheaval of Martin Luther's Reformation, traveled to Poland to seek out Copernicus. Two years later, the Protestant youth took leave of his aging Catholic mentor and arranged to have Copernicus's manuscript published, in 1543, as De revolutionibus orbium coelestium (On the Revolutions of the Celestial Spheres)-the book that forever changed humankind's place in the universe.In her elegant, compelling style, Dava Sobel chronicles, as nobody has, the conflicting personalities and extraordinary discoveries that shaped the Copernican Revolution. At the heart of the book is her play And the Sun Stood Still, imagining Rheticus's struggle to convince Copernicus to let his manuscript see the light of day. As she achieved with her bestsellers Longitude and Galileo's Daughter, Sobel expands the bounds of narration, giving us an unforgettable portrait of scientific achievement, and of the ever-present tensions between science and faith.
James May's Magnificent Machines
James May - 2007
Throughout James May's Magnificent Machines, James May explores the iconic themes of the past hundred years: flight, space travel, television, mechanized war, medicine, computers, electronic music, skyscrapers, electronic espionage, and much more. But he also reveals the hidden story behind why some inventions like the zeppelin, the hovercraft, or the theremin struggled to make their mark. He examines the tipping points when technologies such as the car or the internet became unstoppable and gets up close to the nuts and bolt of remarkable inventions. Packed with surprising statistics and intriguing facts, this is the ideal book for anyone who wants to know how stuff works and why some stuff didn't make it.
Big Bang: The Origin of the Universe
Simon Singh - 2004
In this amazingly comprehensible history of the universe, Simon Singh decodes the mystery behind the Big Bang theory, lading us through the development of one of the most extraordinary, important, and awe-inspiring theories in science.