417 results for "Mathematics"

Can You Outsmart an Economist? 100+ Puzzles to Train Your Brain

Steven E. Landsburg
"Will delight and inform anyone who enjoys rigorous thinking and the unexpected conclusions it delivers." -- Jamie Whyte, author of Crimes Against Logic "This ingenious gallop through the mind of Steven Landsburg enables you to think like an economist without incurring a Keynesian headache or a huge student loan. You may even end up 'smarter than Google.' But you will not readily put down this exhilarating adventure in ideas." -- George Gilder, author of Knowledge and Power and Life After Google Can you outsmart an economist? Steven Landsburg, acclaimed author and professor of economics, dares you to try. In this whip-smart, entertaining, and entirely unconventional economics primer, he brings together over one hundred puzzles and brain teasers that illustrate the subject's key concepts and pitfalls. From warm-up exercises to get your brain working, to logic and probability problems, to puzzles covering more complex topics like inferences, strategy, and irrationality, Can You Outsmart an Economist? will show you how to do just that by expanding the way you think about decision making and problem solving. Let the games begin "Entertaining as well as edifying. Read it, expand your mind, and have fun "-- N. Gregory Mankiw, Robert M. Beren Professor of Economics, Harvard University
Houghton Mifflin Harcourt 2018 304 pages

Enlightening Symbols A Short History of Mathematical Notation and Its Hidden Powers

Joseph Mazur
An entertaining look at the origins of mathematical symbols While all of us regularly use basic math symbols such as those for plus, minus, and equals, few of us know that many of these symbols weren't available before the sixteenth century. What did mathematicians rely on for their work before then? And how did mathematical notations evolve into what we know today? In Enlightening Symbols , popular math writer Joseph Mazur explains the fascinating history behind the development of our mathematical notation system. He shows how symbols were used initially, how one symbol replaced another over time, and how written math was conveyed before and after symbols became widely adopted. Traversing mathematical history and the foundations of numerals in different cultures, Mazur looks at how historians have disagreed over the origins of the numerical system for the past two centuries. He follows the transfigurations of algebra from a rhetorical style to a symbolic one, demonstrating that most algebra before the sixteenth century was written in prose or in verse employing the written names of numerals. Mazur also investigates the subconscious and psychological effects that mathematical symbols have had on mathematical thought, moods, meaning, communication, and comprehension. He considers how these symbols influence us (through similarity, association, identity, resemblance, and repeated imagery), how they lead to new ideas by subconscious associations, how they make connections between experience and the unknown, and how they contribute to the communication of basic mathematics. From words to abbreviations to symbols, this book shows how math evolved to the familiar forms we use today.
Princeton University Press 2016-12-06 312 pages

Problems and Theorems in Analysis Series · Integral Calculus · Theory of Functions

Georg Polya,Gabor Szegö
The present English edition is not a mere translation of the German original. Many new problems have been added and there are also other changes, mostly minor. Yet all the alterations amount to less than ten percent of the text. We intended to keep intact the general plan and the original flavor of the work. Thus we have not introduced any essentially new subject matter, although the mathematical fashion has greatly changed since 1924. We have restricted ourselves to supplementing the topics originally chosen. Some of our problems first published in this work have given rise to extensive research. To include all such developments would have changed the character of the work, and even an incomplete account, which would be unsatisfactory in itself, would have cost too much labor and taken up too much space. We have to thank many readers who, since the publication of this work almost fifty years ago, communicated to us various remarks on it, some of which have been incorporated into this edition. We have not listed their names; we have forgotten the origin of some contributions, and an incomplete list would have been even less desirable than no list. The first volume has been translated by Mrs. Dorothee Aeppli, the second volume by Professor Claude Billigheimer. We wish to express our warmest thanks to both for the unselfish devotion and scrupulous conscientiousness with which they attacked their far from easy task.
Springer New York 2013-03-01 392 pages

Modern probability theory and its applications

Parzen, Emanuel
Mathematical probability theory is especially interesting to scientists and engineers. It introduces probability theory, showing how probability problems can be formulated mathematically to systematically attack routine methods. Topics include independence and dependence, probability laws and random variables. Over 500 exercises, an appendix of useful tables and answers to odd-numbered questions are also included.
John Wiley & Sons, Inc 1960 464 pages

Data Science and Digital Business

Fausto Pedro García Márquez,Benjamin Lev
This book combines the analytic principles of digital business and data science with business practice and big data. The interdisciplinary, contributed volume provides an interface between the main disciplines of engineering and technology and business administration. Written for managers, engineers and researchers who want to understand big data and develop new skills that are necessary in the digital business, it not only discusses the latest research, but also presents case studies demonstrating the successful application of data in the digital business.
Springer International Publishing 2019-01-16 316 pages

Mathematics, poetry, and beauty

Aharoni, Ron
What does mathematics have to do with poetry? Seemingly, nothing. Mathematics deals with abstractions while poetry with emotions. And yet, the two share something essential: Beauty. Euclid alone has looked on beauty bare, says the title of a poem by Edna St. Vincent Millay. Mathematics, Poetry and Beauty tries to solve the secret of the similarity between the two domains. It tries to explain how a mathematical argument and a poem can move us in the same way. Mathematical and poetic techniques are compared, with the aim of showing how they evoke the same sense of beauty. The reader may find that, as Bertrand Russell said, Mathematics, rightly viewed, possesses not only truth, but supreme beauty - a beauty hold and austere, like that of sculpture ... sublimely pure, and capable of a stern perfection such as only the greatest art can show.
World Scientific 2015 261 pages

Descartes's secret notebook: a true tale of mathematics, mysticism, and the quest to understand the univer se

Aczel, Amir D.
René Descartes (1596–1650) is one of the towering and central figures in Western philosophy and mathematics. His apothegm “ Cogito, ergo sum ” marked the birth of the mind-body problem, while his creation of so-called Cartesian coordinates have made our physical and intellectual conquest of physical space possible. But Descartes had a mysterious and mystical side, as well. Almost certainly a member of the occult brotherhood of the Rosicrucians, he kept a secret notebook, now lost, most of which was written in code. After Descartes’s death, Gottfried Leibniz, inventor of calculus and one of the greatest mathematicians in history, moved to Paris in search of this notebook—and eventually found it in the possession of Claude Clerselier, a friend of Descartes. Leibniz called on Clerselier and was allowed to copy only a couple of pages—which, though written in code, he amazingly deciphered there on the spot. Leibniz’s hastily scribbled notes are all we have today of Descartes’s notebook, which has disappeared. Why did Descartes keep a secret notebook, and what were its contents? The answers to these questions lead Amir Aczel and the reader on an exciting, swashbuckling journey, and offer a fascinating look at one of the great figures of Western culture.
Broadway Books 2005 273 pages

My search for Ramanujan

Ono, Ken,Aczel, Amir D.
The son of a prominent Japanese mathematician who came to the United States after World War II, Ken Ono was raised on a diet of high expectations and little praise. Rebelling against his pressure-cooker of a life, Ken determined to drop out of high school to follow his own path. To obtain his father's approval, he invoked the biography of the famous Indian mathematical prodigy Srinivasa Ramanujan, whom his father revered, who had twice flunked out of college because of his single-minded devotion to mathematics. Ono describes his rocky path through college and graduate school, interweaving Ramanujan's story with his own and telling how at key moments, he was inspired by Ramanujan and guided by mentors who encouraged him to pursue his interest in exploring Ramanujan's mathematical legacy. Picking up where others left off, beginning with the great English mathematician G.H. Hardy, who brought Ramanujan to Cambridge in 1914, Ono has devoted his mathematical career to understanding how in his short life, Ramanujan was able to discover so many deep mathematical truths, which Ramanujan believed had been sent to him as visions from a Hindu goddess. And it was Ramanujan who was ultimately the source of reconciliation between Ono and his parents. Ono's search for Ramanujan ranges over three continents and crosses paths with mathematicians whose lives span the globe and the entire twentieth century and beyond. Along the way, Ken made many fascinating discoveries. The most important and surprising one of all was his own humanity
Springer 2016-04-12 238 pages

The Man Who Knew Too Much: Alan Turing and the Invention of the Computer

David Leavitt
A "skillful and literate" ( New York Times Book Review ) biography of the persecuted genius who helped create the modern computer. To solve one of the great mathematical problems of his day, Alan Turing proposed an imaginary computer. Then, attempting to break a Nazi code during World War II, he successfully designed and built one, thus ensuring the Allied victory. Turing became a champion of artificial intelligence, but his work was cut short. As an openly gay man at a time when homosexuality was illegal in England, he was convicted and forced to undergo a humiliating "treatment" that may have led to his suicide. With a novelist's sensitivity, David Leavitt portrays Turing in all his humanity?his eccentricities, his brilliance, his fatal candor?and elegantly explains his work and its implications.
W. W. Norton & Company 2006-11-17 336 pages

The mathematical magpie: being more stories, mainly transcendental, plus subsets of essays, rhymes, music, anecdotes, epigrams, and other pime oddments and diversions, rational or irrational, all derived from the infinite domain of mathematics

Fadiman, Clifton
The companion volume to Fantasia Mathematica, first published in 1962, this second anthology of mathematical writings is even more varied than the first and contains stories, cartoons, essays, rhymes, music, anecdotes, aphorisms, and other oddments. Authors include Arthur C. Clarke, Isaac Asimov, Mark Twain, Lewis Carroll, and many other renowned figures. Like its predecessor, this wide-ranging collection will prove to be fascinating and entertaining reading for anyone with an interest in mathematics.
Copernicus 1997-04-04 303 pages