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Author: Terence Tao Publisher: Springer ISBN: 9811017891 Category : Mathematics Languages : en Pages : 350
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: Hindustan Book Agency and Indian National Science Academy ISBN: 9788185931944 Category : Mathematical analysis Languages : en Pages : 0
Book Description
Suitable for undergraduates who have already been exposed to calculus, this title includes material that starts at the very beginning - the construction of number systems and set theory, then goes on to the basics of analysis, through to power series, several variable calculus and Fourier analysis, and finally to the Lebesgue integral.
Author: B. M. Carder Publisher: ISBN: Category : Explosions Languages : en Pages : 112
Book Description
The purpose of the Flat Top program was to photograph the fireball, shockwave, base surge, ejecta, and early and late cloud formations on each of three separate high-explosive detonations used to simulate equivalent detonations of nuclear devices. Excellent results were obtained on 16-mm, 35-mm, and 70-mm black-and-white film and 35-mm color film. Detailed descriptions of the photographic instrumentation and representative samples of the film records from each of the three events are included in this report. Recommendations for improved coverage on future experiments of this type include the use of an additional close-in photo station, faster framing rates, the use of a timer as a backup on camera shutter closure systems, and more extensive use of color film. (Author).
Author: Xenophon Publisher: Liverpool University Press ISBN: 0856684643 Category : History Languages : en Pages : 209
Book Description
The Peloponnesian War, according to Thucydides, was the result of the growth of Athenian power. Beginning with the battle of Abydos in 411, this edition covers the Ionian or Dekeleian War, whose end in 404 also brings to a close the Peloponnesian War as a whole. The narrative is all the more valuable for the fact that Xenophon is likely to have been present at a number of the events described. In his very first sentence he mentions a naval battle in which the Athenians are defeated, and in doing so heralds their eventual defeat in the war. It is a tale of decline, and of expansionism gone awry.
Author: Ying Yuan Publisher: CRC Press ISBN: 1315354225 Category : Mathematics Languages : en Pages : 233
Book Description
Reliably optimizing a new treatment in humans is a critical first step in clinical evaluation since choosing a suboptimal dose or schedule may lead to failure in later trials. At the same time, if promising preclinical results do not translate into a real treatment advance, it is important to determine this quickly and terminate the clinical evaluation process to avoid wasting resources. Bayesian Designs for Phase I–II Clinical Trials describes how phase I–II designs can serve as a bridge or protective barrier between preclinical studies and large confirmatory clinical trials. It illustrates many of the severe drawbacks with conventional methods used for early-phase clinical trials and presents numerous Bayesian designs for human clinical trials of new experimental treatment regimes. Written by research leaders from the University of Texas MD Anderson Cancer Center, this book shows how Bayesian designs for early-phase clinical trials can explore, refine, and optimize new experimental treatments. It emphasizes the importance of basing decisions on both efficacy and toxicity.
Author: Tim Whitmarsh Publisher: Cambridge University Press ISBN: 1108119158 Category : History Languages : en Pages : 298
Book Description
The Greek Novels have moved from the margins to the centre-stage over recent decades, not just because of their literary qualities and thrilling narratives, but also because they offer revealing insights into the culture of the Greek world of the Roman Empire: sexual mores, the position of women and men, identity, religion. Achilles Tatius' Leucippe and Clitophon, the most influential of the novels in antiquity, remains the favourite of many. With its freewheeling plotline, its setting on the edge of the Greek world (in modern Lebanon), its ironic play with the reader's expectations and its sallies into obscenity, it represents a new, mature, sophisticated stage in the development of the novel as a genre. This is the first commentary in English on Achilles for over 50 years, a period that has seen great strides forward in the understanding of the literary, linguistic and textual interpretation of this brilliant text.
Author: Terence Tao
Author: Jon Fosse
Author: Terence Tao
Author: B. M. Carder
Author: Xenophon
Author: Ying Yuan
Author: Howard W. Eves
Author: Tim Whitmarsh
Author: Jon Fosse
Author: William Shakespeare
Author: Richard Schmid