First Proof

Author :
Publisher : Penguin Books India
ISBN 13 : 9780143032441
Total Pages : 446 pages
Book Rating : 4.45/5 ( download)

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Download or read book First Proof written by and published by Penguin Books India. This book was released on 2005 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Penguin Book of New Writing from India 2005 An anthology of new writing and new writers, and established writers writing in a new genre-First Proofshowcases original and brilliant non-fiction and fiction. The collection includes works in progress, essays, short stories, and a graphic short. Among the nonfiction in this volume is an account of a childhood in boarding school, a portrait of Naipaul on his first visit to India in the 60s, reportage on Sri Lanka, the RSS, a don in Bihar, an essay on the Bollywood vamp, and glimpses of Kashmir. Fiction includes themes of incest, suicide, love, lust, familial bonds, human relationships, loneliness, dysfunctional people, and a graphic vignette with London as a backdrop.

Author : Paolo Mancosu
Publisher : Oxford University Press
ISBN 13 : 0192895931
Total Pages : 431 pages
Book Rating : 4.36/5 ( download)

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Download or read book An Introduction to Proof Theory written by Paolo Mancosu and published by Oxford University Press. This book was released on 2021 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Proof Theory provides an accessible introduction to the theory of proofs, with details of proofs worked out and examples and exercises to aid the reader's understanding. It also serves as a companion to reading the original pathbreaking articles by Gerhard Gentzen. The first half covers topics in structural proof theory, including the Gödel-Gentzen translation of classical into intuitionistic logic (and arithmetic), natural deduction and the normalization theorems (for both NJ and NK), the sequent calculus, including cut-elimination and mid-sequent theorems, and various applications of these results. The second half examines ordinal proof theory, specifically Gentzen's consistency proof for first-order Peano Arithmetic. The theory of ordinal notations and other elements of ordinal theory are developed from scratch, and no knowledge of set theory is presumed. The proof methods needed to establish proof-theoretic results, especially proof by induction, are introduced in stages throughout the text. Mancosu, Galvan, and Zach's introduction will provide a solid foundation for those looking to understand this central area of mathematical logic and the philosophy of mathematics.

Author : Miklós Laczkovich
Publisher : American Mathematical Society
ISBN 13 : 1470472414
Total Pages : 130 pages
Book Rating : 4.12/5 ( download)

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Download or read book Conjecture and Proof written by Miklós Laczkovich and published by American Mathematical Society. This book was released on 2022-08-11 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Budapest semesters in mathematics were initiated with the aim of offering undergraduate courses that convey the tradition of Hungarian mathematics to English-speaking students. This book is an elaborate version of the course on Conjecture and Proof. It gives miniature introductions to various areas of mathematics by presenting some interesting and important, but easily accessible results and methods. The text contains complete proofs of deep results such as the transcendence of $e$, the Banach-Tarski paradox and the existence of Borel sets of arbitrary (finite) class. One of the purposes is to demonstrate how far one can get from the first principles in just a couple of steps. Prerequisites are kept to a minimum, and any introductory calculus course provides the necessary background for understanding the book. Exercises are included for the benefit of students. However, this book should prove fascinating for any mathematically literate reader.

Author : Alfred North Whitehead
Publisher :
ISBN 13 :
Total Pages : 696 pages
Book Rating : 4.01/5 ( download)

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Download or read book Principia Mathematica written by Alfred North Whitehead and published by . This book was released on 1910 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Wolfram Pohlers
Publisher : Springer Science & Business Media
ISBN 13 : 354069319X
Total Pages : 380 pages
Book Rating : 4.92/5 ( download)

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Download or read book Proof Theory written by Wolfram Pohlers and published by Springer Science & Business Media. This book was released on 2008-10-01 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The kernel of this book consists of a series of lectures on in?nitary proof theory which I gave during my time at the Westfalische ̈ Wilhelms–Universitat ̈ in Munster ̈ . It was planned as a successor of Springer Lecture Notes in Mathematics 1407. H- ever, when preparing it, I decided to also include material which has not been treated in SLN 1407. Since the appearance of SLN 1407 many innovations in the area of - dinal analysis have taken place. Just to mention those of them which are addressed in this book: Buchholz simpli?ed local predicativity by the invention of operator controlled derivations (cf. Chapter 9, Chapter 11); Weiermann detected applications of methods of impredicative proof theory to the characterization of the provable recursive functions of predicative theories (cf. Chapter 10); Beckmann improved Gentzen’s boundedness theorem (which appears as Stage Theorem (Theorem 6. 6. 1) in this book) to Theorem 6. 6. 9, a theorem which is very satisfying in itself - though its real importance lies in the ordinal analysis of systems, weaker than those treated here. Besides these innovations I also decided to include the analysis of the theory (? –REF) as an example of a subtheory of set theory whose ordinal analysis only 2 0 requires a ?rst step into impredicativity. The ordinal analysis of(? –FXP) of non- 0 1 0 monotone? –de?nable inductive de?nitions in Chapter 13 is an application of the 1 analysis of(? –REF).

Author : Joseph E. Aoun
Publisher : MIT Press
ISBN 13 : 0262535971
Total Pages : 211 pages
Book Rating : 4.77/5 ( download)

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Download or read book Robot-Proof written by Joseph E. Aoun and published by MIT Press. This book was released on 2018-08-14 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: How to educate the next generation of college students to invent, to create, and to discover—filling needs that even the most sophisticated robot cannot. Driverless cars are hitting the road, powered by artificial intelligence. Robots can climb stairs, open doors, win Jeopardy, analyze stocks, work in factories, find parking spaces, advise oncologists. In the past, automation was considered a threat to low-skilled labor. Now, many high-skilled functions, including interpreting medical images, doing legal research, and analyzing data, are within the skill sets of machines. How can higher education prepare students for their professional lives when professions themselves are disappearing? In Robot-Proof, Northeastern University president Joseph Aoun proposes a way to educate the next generation of college students to invent, to create, and to discover—to fill needs in society that even the most sophisticated artificial intelligence agent cannot. A “robot-proof” education, Aoun argues, is not concerned solely with topping up students' minds with high-octane facts. Rather, it calibrates them with a creative mindset and the mental elasticity to invent, discover, or create something valuable to society—a scientific proof, a hip-hop recording, a web comic, a cure for cancer. Aoun lays out the framework for a new discipline, humanics, which builds on our innate strengths and prepares students to compete in a labor market in which smart machines work alongside human professionals. The new literacies of Aoun's humanics are data literacy, technological literacy, and human literacy. Students will need data literacy to manage the flow of big data, and technological literacy to know how their machines work, but human literacy—the humanities, communication, and design—to function as a human being. Life-long learning opportunities will support their ability to adapt to change. The only certainty about the future is change. Higher education based on the new literacies of humanics can equip students for living and working through change.

Author : [Anonymus AC10343482]
Publisher :
ISBN 13 :
Total Pages : 1456 pages
Book Rating : 4.06/5 ( download)

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Download or read book Revised Statutes of the United States, Passed at the First Session of the Forty-third Congress, 1873-74; Embracing the Statutes of the United States, General and Permanent in Their Nature, in Force an the First Day of December, One Thoosand Eight Hundred and Seventy-three, as Revised and Consolidated by Commissioners Appointed Under an Act of Congress (etc.). Mit 2 Suppl.-Vol written by [Anonymus AC10343482] and published by . This book was released on 1875 with total page 1456 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : A. D. Aleksandrov
Publisher : Courier Corporation
ISBN 13 : 0486157873
Total Pages : 1120 pages
Book Rating : 4.70/5 ( download)

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Download or read book Mathematics written by A. D. Aleksandrov and published by Courier Corporation. This book was released on 2012-05-07 with total page 1120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Major survey offers comprehensive, coherent discussions of analytic geometry, algebra, differential equations, calculus of variations, functions of a complex variable, prime numbers, linear and non-Euclidean geometry, topology, functional analysis, more. 1963 edition.

Author : Martin Aigner
Publisher : Springer Science & Business Media
ISBN 13 : 3662223430
Total Pages : 194 pages
Book Rating : 4.37/5 ( download)

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Download or read book Proofs from THE BOOK written by Martin Aigner and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.

Author : Frederick Howard Collins
Publisher :
ISBN 13 :
Total Pages : 432 pages
Book Rating : 4.5U/5 ( download)

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Download or read book Author's & Printer's Dictionary written by Frederick Howard Collins and published by . This book was released on 1928 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: