99 variations on a proof
Rating:
9,8/10
1975
reviews

What makes this worth reading, however, is the sheer thoroughness of the author in presenting many ways to view the same simple problem, from topology to analysis to even an electrostatic solution. Therefore,it may be used both as a graduate textbook as well as a reference text for researchers in the field. Račun z odlogom plačila samo za šole, knjižnice in ostala javna podjetja. One would come a long way, but still, 99 variations is a lot. Harry +Potter Search results will contain 'Potter'.

In fact, there is also a proof numbered 0, which has the statement of the problem with a proof omitted, which is indeed a way in which a lemma is often formulated in current mathematical papers. A comprehensive bibliography ends the book. The Pythagoras theorem could be a good candidate with many published proofs, but still it would be hard to find 99 different ways. Exceptionally a proof takes more than one page. Giovanni Leoni is also a professor in the Department of Mathematical Sciences at Carnegie Mellon University. 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.

Glede na to katere izdelke izberete, se vam pri oddaji naročila prikaže tudi končni predviden datum dobave vašega pakete. 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. Showing us the astonishing variety of ways the same mathematical facts can be justified, Ording notes the influence of Queneau's Exercises in Style, but perhaps Wallace Stevens's 'Thirteen Ways of Looking at a Blackbird' casts its shadow, too. 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. Join us at Book Culture on 112th on Thursday, March 14 at 7pm as we welcome Philip Ording to discuss his new book,. Author : Charles Bradfield Morrey Jr. Book Description: 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.

Digging into history along this line of ideas will result in many proofs of the same statement looking very differently. The theorem itself is fairly uninteresting, but the proofs are the stars and each of them seeks to show a different aspect of the theory, history, or culture of mathematics. Večino izdelkov dostavljamo iz lastne zaloge, zato so naši dobavni roki zelo kratki. This is nicely represented by the cover of the book which has a ten by ten square grid of black squares, except for the first one which is white. Philip Ording proposes a poetic transposition of mathematics. Ko vam bomo poslali paket boste o tem obveščeni tudi po emailu.

I am not sure how I keep reading variants on , since self-consciously awkward writing for the sake of it doesn't do much for me, but here we are. Harry -Potter Search results will not contain 'Potter'. Another source for differentiating is the way things are represented: graphical geometric or other , colours, prefix or postfix notation, hand waving, oral discussion, e-mails, encrypted, sign language,. Several of the variant proofs are, on their face, independent mathematical approaches -- factoring the polynomial, using Cardano's formula, substituting in a trigonometric identity, using the Taylor series -- but a lot of them are simply baroque presentations of those simple mathematical approaches. All the statements are fully justified and proved, with the exception of basic results in measure theory, which may be found in any good textbook on the subject.

It is so much more than a book about mathematics. 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. Most of the proofs are short and take only a few lines. He is the coeditor of Simplicity: Ideals of Practice in Mathematics and the Arts. There is a proof in the form of a parody of the collaborative discussion modelled after the Polymath projects by Yitang Zhang and Terrence Tao to work on the twin prime conjecture.

Several of the variant proofs are, on their face, independent mathematical approaches -- factoring the polynomial, I am not sure how I keep reading variants on , since self-consciously awkward writing for the sake of it doesn't do much for me, but here we are. Pri vsakem izdelku je naveden predviden rok dostave. He is the author of the award-winning book Mathematics Without Apologies: Portrait of a Problematic Vocation. Later, this belief came under attack and logic was deemed inadequate to explicate actual cases of human reasoning. This book offers a multifaceted perspective on mathematics by demonstrating 99 different proofs of the same theorem.

The conference aimed at stimulating the use of formal frameworks to explicate concrete cases of human reasoning, and conversely, to challenge scholars in formal studies by presenting them with interesting new cases of actual reasoning. Michael Harris will be joining Philip in the discussion. It could be 'Belle Marquise, vos beaux yeux me font mourir d'amour, ' or 'D'amour mourir me font, belle Marquise, vos beaux yeux, ' or 'Vos yeux beaux d'amour me font, belle Marquise, mourir. The book not only reports the researches of the author but also the contributions of his contemporaries in the same and related fields. It is inspired by, and written in the style of, the constrained writing embraced by the French oulipo writers group, in particular the book Exercises de style 1947 by Raymond Queneau was a main source of inspiration.

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. 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. A central motor for this change was the development of non-classical logics and non-classical formal frameworks. And mathematical style, like all style, cannot be placed on a simple gradient. The influence of constrained writing is for example obvious in a verbal proof using only monosyllabic words. The idea of the book is inspired by Exercises de style 1947 by Raymond Queneau, a member of the experimental writers group Oulipo Ouvroir de littérature potentielle. Philip Ording is a professor of mathematics at Sarah Lawrence College.

Plačilo po predračunu samo za pravne osebe. Even if some of the proofs are abstract and incomprehensible for the layman, it can still be considered a popular science book about the peculiarities and trivia of mathematics. However, any student of analysis will be greatly rewarded by a careful study of this book. The comments by Ording turn the book into a fragmented survey of many historical mathematical factoids. From the title, you might think that the book is showing different proofs of a crucial theorem that has been reinvented many times and hence has been proved in many different ways. I will pick it up regularly and I am sure there will be more hidden gems to be unravelled that are easily missed in a first reading. The book contains contributions in various non-classical formal frameworks, case studies that enhance our apprehension of concrete reasoning patterns, and studies of the philosophical implications for our understanding of the notions of rationality.