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Author: Terence Tao
Publisher: Springer
ISBN: 9811017891
Category : Mathematics
Languages : en
Pages : 366
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Book Description
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.
Author: Terence Tao
Publisher: Springer
ISBN: 9811017891
Category : Mathematics
Languages : en
Pages : 366
Get Book Here
Book Description
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.
Author: Terence T. Gorski
Publisher: Simon and Schuster
ISBN: 0671765582
Category : Family & Relationships
Languages : en
Pages : 208
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Book Description
An interpretation and guide to the 12 steps of Acoholics Anonymous.
Author: Terence Mckenna
Publisher: Harper Collins
ISBN: 0062506528
Category : Body, Mind & Spirit
Languages : en
Pages : 256
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Book Description
This mesmerizing, surreal account of the bizarre adventures of Terence McKenna, his brother Dennis, and a small band of their friends, is a wild ride of exotic experience and scientific inquiry. Exploring the Amazon Basin in search of mythical shamanic hallucinogens, they encounter a host of unusual characters -- including a mushroom, a flying saucer, pirate Mantids from outer space, an appearance by James and Nora Joyce in the guise of poultry, and translinguistic matter -- and discover the missing link in the development of human consciousness and language.
Author: Terence Cave
Publisher: Oxford University Press
ISBN: 0198749414
Category : Literary Criticism
Languages : en
Pages : 218
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Book Description
Thinking with Literature offers a succinct introduction to a cognitive literary criticsm. Broad in scope but focusing on a particular cluster of approaches, it aims to induce a change of perspective in the reader.
Author: Beatrice Radden Keefe
Publisher: BRILL
ISBN: 9004463321
Category : History
Languages : en
Pages : 287
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Book Description
This is a book about Roman comedy, ancient theatre imagery, and seven medieval illustrated manuscripts of Terence’s six Latin comedies. These manuscript illustrations, made between 800 and 1200, enabled their medieval readers to view these comedies as “mirrors of life”.
Author: Terence Tao
Publisher: American Mathematical Soc.
ISBN: 1470466406
Category : Education
Languages : en
Pages : 206
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Book Description
This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Carathéodory extension theorem. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory. The material is intended to cover a quarter or semester's worth of material for a first graduate course in real analysis. There is an emphasis in the text on tying together the abstract and the concrete sides of the subject, using the latter to illustrate and motivate the former. The central role of key principles (such as Littlewood's three principles) as providing guiding intuition to the subject is also emphasized. There are a large number of exercises throughout that develop key aspects of the theory, and are thus an integral component of the text. As a supplementary section, a discussion of general problem-solving strategies in analysis is also given. The last three sections discuss optional topics related to the main matter of the book.
Author: Terence Tao
Publisher: OUP Oxford
ISBN: 0191568694
Category : Mathematics
Languages : en
Pages : 116
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Book Description
Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the tactics involved in solving mathematical problems at the Mathematical Olympiad level. With numerous exercises and assuming only basic mathematics, this text is ideal for students of 14 years and above in pure mathematics.
Author: Terence Irwin
Publisher:
ISBN: 0192891774
Category : Literary Collections
Languages : en
Pages : 289
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Book Description
Spanning over a thousand years from Homer to Saint Augustine, Classical Thought encompasses a vast range of material in succinct style, while remaining clear and lucid even to those with no philosophical or Classical background The major philosophers and philosophical schools are examined---the Presocratics, Socrates, Plato, Aristotle, Stoicism, Epicureanism, Neoplatonism; but other important thinkers, such as Greek tragedians, historians, medical writers, and early Christian writers, are also discussed. The emphasis is naturally on questions of philosophical interest (although the literary and historical background to Classical philosophy is not ignored), and again the scope is broad---ethics, the theory of knowledge, philosophy of mind, philosophical theology. All this is presented in a fully integrated, highly readable text which covers may of the most important areas of ancient thought and in which stress is laid on the variety and continuity of philosophical thinking after Aristotle.
Author: Nicholas Wolterstorff
Publisher: Oxford University Press, USA
ISBN: 0199558957
Category : Philosophy
Languages : en
Pages : 398
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Book Description
Understanding Liberal Democracy collects Nicholas Wolterstorff's papers in political philosophy. The book includes some of Wolterstorff's earlier and influential work on the intersection between political philosophy and religion, and contains nine new essays in which Wolterstorff develops new lines of argument and stakes out novel positions regarding the nature of liberal democracy, human rights, and political authority. Taken together, these positionsare an attractive alternative to the so-called public reason liberalism defended by thinkers such as John Rawls. Of interest to philosophers, political theorists, and theologians, Understanding Liberal Democracyengages a wide audience of those interested in how best to understand the nature of liberal democracy and its relation to religion.
Author: Terence C. M. Tse
Publisher: Lioncrest Publishing
ISBN: 9781619615540
Category : Business & Economics
Languages : en
Pages : 232
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Book Description
Your business's success depends on how you prepare for the future. While business leaders of the past looked in the sideview mirror to predict the road ahead, we must now look at the greater forces affecting the social, business and economic world today-megatrends. Fortunately, world-renowned scholars and professors Terence Tse and Mark Esposito are here with a fresh, holistic way to think about tomorrow by preparing for it today: DRIVE. The DRIVE framework examines five interrelated megatrends: - Demographic and social changes - Resource scarcity - Inequalities - Volatility, complexity, and scale - Enterprising dynamics By observing today through the lens of DRIVE and understanding how megatrends influence one another, business owners, entrepreneurs, executives, policy makers and individuals can prepare for tomorrow. In this book, they will learn how to simplify the complexities around them, make better-informed decisions, and identify new business opportunities now. They will also discover how to prepare for uncertainty, own the global conversation, and illuminate the blind spots on the journey ahead. With real-world examples from today's top executives and policy advisors and in-depth analysis of each megatrend, DRIVE is the GPS system for the new global economy. So buckle up, set the destination, and let's hit the road.
