Analysis I

Analysis I PDF

Author: Terence Tao

Publisher: Springer

Published: 2016-08-29

Total Pages: 350

ISBN-13: 9811017891

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This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and then finally the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. The book also has appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of 25–30 lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.

Ancient Comedy and Reception

Ancient Comedy and Reception PDF

Author: S. Douglas Olson

Publisher: Walter de Gruyter

Published: 2013-12-12

Total Pages: 1098

ISBN-13: 161451125X

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This wide-ranging collection, consisting of 50 essays by leading international scholars in a variety of fields, provides an overview of the reception history of a major literary genre from Greco-Roman antiquity to the present day. Section I considers how the 5th- and 4th-century Athenian comic poets defined themselves and their plays, especially in relation to other major literary forms. It then moves on to the Roman world and to the reception of Greek comedy there in art and literature. Section II deals with the European reception of Greek and Roman comedy in the Medieval, Renaissance, and Early Modern periods, and with the European stage tradition of comic theater more generally. Section III treats the handling of Greco-Roman comedy in the modern world, with attention not just to literary translations and stage-productions, but to more modern media such as radio and film. The collection will be of interest to students of ancient comedy as well as to all those concerned with how literary and theatrical traditions are passed on from one time and place to another, and adapted to meet local conditions and concerns.

A Comprehensive Russian Grammar

A Comprehensive Russian Grammar PDF

Author: Terence Wade

Publisher: John Wiley & Sons

Published: 2011-07-26

Total Pages: 632

ISBN-13: 1444351494

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The third edition of Terence Wade’s A Comprehensive Russian Grammar, newly updated and revised, offers the definitive guide to current Russian usage. Provides the most complete, accurate and authoritative English language reference grammar of Russian available on the market Includes up-to-date material from a wide range of literary and non-literary sources, including Russian government websites Features a comprehensive approach to grammar exposition Retains the accessible yet comprehensive coverage of the previous edition while adding updated examples and illustrations, as well as insights into several new developments in Russian language usage since the collapse of the Soviet Union in 1991

Godber Plays: 2

Godber Plays: 2 PDF

Author: John Godber

Publisher: A&C Black

Published: 2013-11-01

Total Pages: 304

ISBN-13: 1472536460

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"John Godber is one of the unsung heroes of British theatre, reaching the giddy heights of number three in the most-performed playwrights league table, nestled in behind Shakespeare and Ayckbourn" - Guardian Teechers: "In a class of its own ... Godber takes a hard-hitting look at life in a modern comprehensive where class conflicts, teacher tantrums and cavorting chaos runs riot through the corridors" The Express Happy Jack: "Godber manages with an affectionate and unerringly accurate ear for the tongues of the pit village to turn these two into a Chaucerian kind of celebration of life. At the end of the line the play is a sad, bruised but richly comic love story" Guardian September in the Rain: "The work of a genuinely talented playwright" Evening Standard Salt of the Earth: "John Godber has a special gift for capturing the lives and inner turmoil of the working class ... In the most subtle and incisive ways, he suggests how the combination of innate personality and a changing society determines individual destiny" Chicago Times

Poincare's Legacies, Part I

Poincare's Legacies, Part I PDF

Author: Terence Tao

Publisher: American Mathematical Soc.

Published: 2009

Total Pages: 306

ISBN-13: 0821848836

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Focuses on ergodic theory, combinatorics, and number theory. This book discusses a variety of topics, ranging from developments in additive prime number theory to expository articles on individual mathematical topics such as the law of large numbers and the Lucas-Lehmer test for Mersenne primes.