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Author:
Publisher: Penguin Books India
ISBN: 9780143032441
Category : Fiction
Languages : en
Pages : 446
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Book Description
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:
Publisher: Penguin Books India
ISBN: 9780143032441
Category : Fiction
Languages : en
Pages : 446
Get Book Here
Book Description
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: Daniel J. Velleman
Publisher: Cambridge University Press
ISBN: 0521861241
Category : Mathematics
Languages : en
Pages : 401
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Book Description
Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.
Author: Martin Aigner
Publisher: Springer Science & Business Media
ISBN: 3662223430
Category : Mathematics
Languages : en
Pages : 194
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Book Description
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: Wolfram Pohlers
Publisher: Springer Science & Business Media
ISBN: 354069319X
Category : Mathematics
Languages : en
Pages : 380
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Book Description
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: Amy Pixton
Publisher: Workman Publishing
ISBN: 076116880X
Category : Juvenile Nonfiction
Languages : en
Pages : 12
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Book Description
Shares illustrations of familiar foods, toys, and vehicles with readers.
Author: Paolo Mancosu
Publisher: Oxford University Press
ISBN: 0192895931
Category : Mathematics
Languages : en
Pages : 431
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Book Description
"Proof theory is a central area of mathematical logic of special interest to philosophy . It has its roots in the foundational debate of the 1920s, in particular, in Hilbert's program in the philosophy of mathematics, which called for a formalization of mathematics, as well as for a proof, using philosophically unproblematic, "finitary" means, that these systems are free from contradiction. Structural proof theory investigates the structure and properties of proofs in different formal deductive systems, including axiomatic derivations, natural deduction, and the sequent calculus. Central results in structural proof theory are the normalization theorem for natural deduction, proved here for both intuitionistic and classical logic, and the cut-elimination theorem for the sequent calculus. In formal systems of number theory formulated in the sequent calculus, the induction rule plays a central role. It can be eliminated from proofs of sequents of a certain elementary form: every proof of an atomic sequent can be transformed into a "simple" proof. This is Hilbert's central idea for giving finitary consistency proofs. The proof requires a measure of proof complexity called an ordinal notation. The branch of proof theory dealing with mathematical systems such as arithmetic thus has come to be called ordinal proof theory. The theory of ordinal notations is developed here in purely combinatorial terms, and the consistency proof for arithmetic presented in detail"--
Author: Adam Clarke
Publisher:
ISBN:
Category : Bible
Languages : en
Pages : 898
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Book Description
Author: Miklós Laczkovich
Publisher: American Mathematical Society
ISBN: 1470472414
Category : Mathematics
Languages : en
Pages : 130
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Book Description
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: A. S. Troelstra
Publisher: Cambridge University Press
ISBN: 9780521779111
Category : Computers
Languages : en
Pages : 436
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Book Description
This introduction to the basic ideas of structural proof theory contains a thorough discussion and comparison of various types of formalization of first-order logic. Examples are given of several areas of application, namely: the metamathematics of pure first-order logic (intuitionistic as well as classical); the theory of logic programming; category theory; modal logic; linear logic; first-order arithmetic and second-order logic. In each case the aim is to illustrate the methods in relatively simple situations and then apply them elsewhere in much more complex settings. There are numerous exercises throughout the text. In general, the only prerequisite is a standard course in first-order logic, making the book ideal for graduate students and beginning researchers in mathematical logic, theoretical computer science and artificial intelligence. For the new edition, many sections have been rewritten to improve clarity, new sections have been added on cut elimination, and solutions to selected exercises have been included.
Author: Frederick Howard Collins
Publisher:
ISBN:
Category : Abbreviations
Languages : en
Pages : 432
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Book Description
