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Visualization, Explanation and Reasoning Styles in Mathematics by Paolo Mancosu
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e: the Story of a Number
Eli Maor - 1993
Louis are all intimately connected with the mysterious number e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Designed for a reader with only a modest mathematical background, this biography brings out the central importance of e to mathematics and illuminates a golden era in the age of science.
Understanding Symbolic Logic
Virginia Klenk - 1983
Each chapter, or unit, is divided into easily comprehended small "bites" that enable learners to master the material step-by-step, rather than being overwhelmed by masses of information covered too quickly. The book provides extremely detailed explanations of procedures and techniques, and was written in the conviction that anyone can thoroughly master its content. A four-part organization covers sentential logic, monadic predicate logic, relational predicate logic, and extra credit units that glimpse into alternative methods of logic and more advanced topics. For individuals interested in the formal study of logic.
Book of Proof
Richard Hammack - 2009
It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.
The Lifebox, the Seashell, and the Soul: What Gnarly Computation Taught Me About Ultimate Reality, the Meaning of Life, and How to Be Happy
Rudy Rucker - 2005
This concept is at the root of the computational worldview, which basically says that very complex systems — the world we live in — have their beginnings in simple mathematical equations. We've lately come to understand that such an algorithm is only the start of a never-ending story — the real action occurs in the unfolding consequences of the rules. The chip-in-a-box computers so popular in our time have acted as a kind of microscope, letting us see into the secret machinery of the world. In Lifebox, Rucker uses whimsical drawings, fables, and humor to demonstrate that everything is a computation — that thoughts, computations, and physical processes are all the same. Rucker discusses the linguistic and computational advances that make this kind of "digital philosophy" possible, and explains how, like every great new principle, the computational world view contains the seeds of a next step.
Abstract Algebra
I.N. Herstein - 1986
Providing a concise introduction to abstract algebra, this work unfolds some of the fundamental systems with the aim of reaching applicable, significant results.
Game Theory 101: The Basics
William Spaniel - 2011
From the first lesson to the last, each chapter introduces games of increasing complexity and then teaches the game theoretical tools necessary to solve them. Inside, you will find:
All the basics fully explained, including pure strategy Nash equilibrium, mixed strategy Nash equilibrium, the mixed strategy algorithm, how to calculate payoffs, strict dominance, weak dominance, iterated elimination of strictly dominated strategies, iterated elimination of weakly dominated strategies, and more!
Dozens of games solved, including the prisoner's dilemma, stag hunt, matching pennies, zero sum games, battle of the sexes/Bach or Stravinsky, chicken/snowdrift, pure coordination, deadlock, and safety in numbers!
Crystal clear, line-by-line calculations of every step, with more than 200 images so you don't miss a thing!
Tons of applications: war, trade, game shows, and duopolistic competition.
Quick, efficient, and to the point, Game Theory 101: The Basics is perfect for introductory game theory, intermediate microeconomics, and political science.
50 Mathematical Ideas You Really Need to Know
Tony Crilly - 2007
Who invented zero? Why are there 60 seconds in a minute? Can a butterfly's wings really cause a storm on the far side of the world? In 50 concise essays, Professor Tony Crilly explains the mathematical concepts that allow use to understand and shape the world around us.
Paradox: The Nine Greatest Enigmas in Physics
Jim Al-Khalili - 2012
A fun and fascinating look at great scientific paradoxes. Throughout history, scientists have come up with theories and ideas that just don't seem to make sense. These we call paradoxes. The paradoxes Al-Khalili offers are drawn chiefly from physics and astronomy and represent those that have stumped some of the finest minds. For example, how can a cat be both dead and alive at the same time? Why will Achilles never beat a tortoise in a race, no matter how fast he runs? And how can a person be ten years older than his twin? With elegant explanations that bring the reader inside the mind of those who've developed them, Al-Khalili helps us to see that, in fact, paradoxes can be solved if seen from the right angle. Just as surely as Al-Khalili narrates the enduring fascination of these classic paradoxes, he reveals their underlying logic. In doing so, he brings to life a select group of the most exciting concepts in human knowledge. Paradox is mind-expanding fun.
Quiddities: An Intermittently Philosophical Dictionary
Willard Van Orman Quine - 1987
Quine's areas of interest are panoramic, as this lively book amply demonstrates.Moving from A (alphabet) to Z (zero), Quiddities roams through more than eighty topics, each providing a full measure of piquant thought, wordplay, and wisdom, couched in easy and elegant prose--"Quine at his unbuttoned best," in Donald Davidson's words. Philosophy, language, and mathematics are the subjects most fully represented; tides of entries include belief, communication, free will, idiotisms, longitude and latitude, marks, prizes, Latin pronunciation, tolerance, trinity. Even the more technical entries are larded with homely lore, anecdote, and whimsical humor.Quiddities will be a treat for admirers of Quine and for others who like to think, who care about language, and who enjoy the free play of intellect on topics large and small. For this select audience, it is an ideal book for browsing.
Number: The Language of Science
Tobias Dantzig - 1930
Tobias Dantzig shows that the development of math—from the invention of counting to the discovery of infinity—is a profoundly human story that progressed by “trying and erring, by groping and stumbling.” He shows how commerce, war, and religion led to advances in math, and he recounts the stories of individuals whose breakthroughs expanded the concept of number and created the mathematics that we know today.
Sidartha. a Story of Mystery.
Kathleen Behenna - 2011
A story of mystery.Publisher: British Library, Historical Print EditionsThe British Library is the national library of the United Kingdom. It is one of the world's largest research libraries holding over 150 million items in all known languages and formats: books, journals, newspapers, sound recordings, patents, maps, stamps, prints and much more. Its collections include around 14 million books, along with substantial additional collections of manuscripts and historical items dating back as far as 300 BC.The FICTION & PROSE LITERATURE collection includes books from the British Library digitised by Microsoft. The collection provides readers with a perspective of the world from some of the 18th and 19th century's most talented writers. Written for a range of audiences, these works are a treasure for any curious reader looking to see the world through the eyes of ages past. Beyond the main body of works the collection also includes song-books, comedy, and works of satire. ++++The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to insure edition identification: ++++ British Library Behenna, Kathleen; 1896.]. vi. 352 p.; 8. 012626.ee.26.
Novels by Tom Robbins: Still Life With Woodpecker, Villa Incognito, Fierce Invalids Home From Hot Climates, Jitterbug Perfume
Books LLC - 2010
Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: Still Life With Woodpecker, Villa Incognito, Fierce Invalids Home From Hot Climates, Jitterbug Perfume, Even Cowgirls Get the Blues, Skinny Legs and All, Another Roadside Attraction, Half Asleep in Frog Pajamas. Source: Wikipedia. Free updates online. Not illustrated. Excerpt: Still Life With Woodpecker (1980) is the third novel by Tom Robbins, concerning the love affair between an environmentalist princess and an outlaw. As with most of Robbins' books, it encompasses a broad range of topics, from aliens and redheads to consumerism, the building of bombs, romance, royalty, the moon, and a pack of Camels. The novel continuously addresses the question of how to make love stay. The story is sometimes called a post-modern fairy tale. The book begins in "the final quarter of the twentieth century," at a year never specified, presumably in the early 1980s. It revolves around a family of deposed European royalty living in a small house in the suburbs outside of Seattle, under the protection of the CIA. They consist of: the father, King Max, a former gambler and poker player whose prosthetic heart valve makes a loud scraping noise when he gets excited; the mother, Queen Tilli, an opera-lover with a strong foreign accent and a fondness for saying "Oh, oh, spaghetti-o"; Gulietta, the non-English-speaking maid (and, as it turns out, Max's half-sister) and the daughter, Leigh-Cheri, a redheaded vegetarian liberal princess and former cheerleader, having pulled out of classes after being asked to resign from the cheer squad after having a miscarriage while cheering at a football game. Leigh-Cheri proclaims herself celibate, withdraws from public life and cloisters herself in her room, only to emerge to ask her parents for permission to go to the Care Fest, a lib...More: http: //booksllc.net/?id=217300
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.
Birth of a Theorem: A Mathematical Adventure
Cédric Villani - 2012
Birth of a Theorem is Villani’s own account of the years leading up to the award. It invites readers inside the mind of a great mathematician as he wrestles with the most important work of his career.But you don’t have to understand nonlinear Landau damping to love Birth of a Theorem. It doesn’t simplify or overexplain; rather, it invites readers into collaboration. Villani’s diaries, emails, and musings enmesh you in the process of discovery. You join him in unproductive lulls and late-night breakthroughs. You’re privy to the dining-hall conversations at the world’s greatest research institutions. Villani shares his favorite songs, his love of manga, and the imaginative stories he tells his children. In mathematics, as in any creative work, it is the thinker’s whole life that propels discovery—and with Birth of a Theorem, Cédric Villani welcomes you into his.