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Exercises in (Mathematical) Style

2017-05-17 Mathematics
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Release : 2017-05-17
Genre : Mathematics
Kind : eBook
Book Rating : 522/5 ( reviews)

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Book Synopsis Exercises in (Mathematical) Style by : John McCleary

Download or read book Exercises in (Mathematical) Style written by John McCleary. This book was released on 2017-05-17. Available in PDF, EPUB and Kindle. Book excerpt: Hover over the image to zoom. Click the image for a popup.Email a Friend About This ItemLogin to Submit a Review inShare John McCleary In Exercises in (Mathematical) Style, the author investigates the world of that familiar set of numbers, the binomial coefficients. While the reader learns some of the properties, relations, and generalizations of the numbers of Pascal's triangle, each story explores a different mode of discourse - from arguing algebraically, combinatorially, geometrically, or by induction, contradiction, or recursion to discovering mathematical facts in poems, music, letters, and various styles of stories. The author follows the example of Raymond Queneau's Exercises in Style, giving the reader 99 stories in various styles. The ubiquitous nature of binomial coefficients leads the tour through combinatorics, number theory, algebra, analysis, and even topology. The book celebrates the joy of writing and the joy of mathematics, found by engaging the rich properties of this simple set of numbers.

Exercises in (Mathematical) Style

2017 Education
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Release : 2017
Genre : Education
Kind : eBook
Book Rating : 835/5 ( reviews)

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Book Synopsis Exercises in (Mathematical) Style by : John McCleary

Download or read book Exercises in (Mathematical) Style written by John McCleary. This book was released on 2017. Available in PDF, EPUB and Kindle. Book excerpt: What does style mean in mathematics? Style is both how one does something and how one communicates what was done. In this book, the author investigates the worlds of the well-known numbers, the binomial coefficients. The author follows the example of Raymond Queneau's Exercises in Style. Offering the reader 99 stories in various styles. The book celebrates the joy of mathematics and the joy of writing mathematics by exploring the rich properties of this familiar collection of numbers. For any one interested in mathematics, from high school students on up.

Exercises in Style

1981 French fiction
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Author :
Release : 1981
Genre : French fiction
Kind : eBook
Book Rating : 898/5 ( reviews)

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Book Synopsis Exercises in Style by : Raymond Queneau

Download or read book Exercises in Style written by Raymond Queneau. This book was released on 1981. Available in PDF, EPUB and Kindle. Book excerpt: Queneau uses a variety of literary styles and forms in ninety-nine exercises which retell the same story about a minor brawl aboard a bus.

Modern Classical Homotopy Theory

2023-01-19 Mathematics
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Release : 2023-01-19
Genre : Mathematics
Kind : eBook
Book Rating : 639/5 ( reviews)

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Book Synopsis Modern Classical Homotopy Theory by : Jeffrey Strom

Download or read book Modern Classical Homotopy Theory written by Jeffrey Strom. This book was released on 2023-01-19. Available in PDF, EPUB and Kindle. Book excerpt: The core of classical homotopy theory is a body of ideas and theorems that emerged in the 1950s and was later largely codified in the notion of a model category. This core includes the notions of fibration and cofibration; CW complexes; long fiber and cofiber sequences; loop spaces and suspensions; and so on. Brown's representability theorems show that homology and cohomology are also contained in classical homotopy theory. This text develops classical homotopy theory from a modern point of view, meaning that the exposition is informed by the theory of model categories and that homotopy limits and colimits play central roles. The exposition is guided by the principle that it is generally preferable to prove topological results using topology (rather than algebra). The language and basic theory of homotopy limits and colimits make it possible to penetrate deep into the subject with just the rudiments of algebra. The text does reach advanced territory, including the Steenrod algebra, Bott periodicity, localization, the Exponent Theorem of Cohen, Moore, and Neisendorfer, and Miller's Theorem on the Sullivan Conjecture. Thus the reader is given the tools needed to understand and participate in research at (part of) the current frontier of homotopy theory. Proofs are not provided outright. Rather, they are presented in the form of directed problem sets. To the expert, these read as terse proofs; to novices they are challenges that draw them in and help them to thoroughly understand the arguments.

99 Variations on a Proof

2021-10-19 Mathematics
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Release : 2021-10-19
Genre : Mathematics
Kind : eBook
Book Rating : 978/5 ( reviews)

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Book Synopsis 99 Variations on a Proof by : Philip Ording

Download or read book 99 Variations on a Proof written by Philip Ording. This book was released on 2021-10-19. Available in PDF, EPUB and Kindle. Book excerpt: An exploration of mathematical style through 99 different proofs of the same theorem This book offers a multifaceted perspective on mathematics by demonstrating 99 different proofs of the same theorem. Each chapter solves an otherwise unremarkable equation in distinct historical, formal, and imaginative styles that range from Medieval, Topological, and Doggerel to Chromatic, Electrostatic, and Psychedelic. With a rare blend of humor and scholarly aplomb, Philip Ording weaves these variations into an accessible and wide-ranging narrative on the nature and practice of mathematics. Inspired by the experiments of the Paris-based writing group known as the Oulipo—whose members included Raymond Queneau, Italo Calvino, and Marcel Duchamp—Ording explores new ways to examine the aesthetic possibilities of mathematical activity. 99 Variations on a Proof is a mathematical take on Queneau’s Exercises in Style, a collection of 99 retellings of the same story, and it draws unexpected connections to everything from mysticism and technology to architecture and sign language. Through diagrams, found material, and other imagery, Ording illustrates the flexibility and creative potential of mathematics despite its reputation for precision and rigor. Readers will gain not only a bird’s-eye view of the discipline and its major branches but also new insights into its historical, philosophical, and cultural nuances. Readers, no matter their level of expertise, will discover in these proofs and accompanying commentary surprising new aspects of the mathematical landscape.

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