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This classic book is a text for a standard introductory course in real analysis, covering sequences and series, limits and continuity, differentiation, elementary transcendental functions, integration, infinite series and products, and trigonometric series. The author has scrupulously avoided any presumption at all that the reader has any knowledge of mathematical concepts until they are formally presented in the book. One significant way in which this book differs from other texts at this level is that the integral which is first mentioned is the Lebesgue integral on the real line. There are at least three good reasons for doing this. First, this approach is no more difficult to understand ...
This book will enable researchers and students of analysis to more easily understand research papers in which probabilistic methods are used to prove theorems of analysis, many of which have no other known proofs. The book assumes a course in measure and integration theory but requires little or no background in probability theory. It emplhasizes topics of interest to analysts, including random series, martingales and Brownian motion.
Based on a conference on the interaction between functional analysis, harmonic analysis and probability theory, this work offers discussions of each distinct field, and integrates points common to each. It examines developments in Fourier analysis, interpolation theory, Banach space theory, probability, probability in Banach spaces, and more.
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This modern introduction to the foundations of logic and mathematics not only takes theory into account, but also treats in some detail applications that have a substantial impact on everyday life (loans and mortgages, bar codes, public-key cryptography). A first college-level introduction to logic, proofs, sets, number theory, and graph theory, and an excellent self-study reference and resource for instructors.
James Bond would have died a thousand deaths if not for Q, the genius behind the pen grenades and weaponized sports cars. The author demonstrates how science and technology have been as important to 007 as good looks, shaken martinis, and beautiful women.
Reality-based television has come to play a major role in both production decisions and network strategy. This text examines the representation of reality within the televisual viewing frame, as well as the exponential growth of these programmes.
The politics of science fiction books, films and television in the 1970s.
THE MANY LIVES AND DEATHS OF JAMES BOND looks at both the James Bond novels, and the James Bond films, and how they have related to each other and pop culture as a whole, from the place of Ian Fleming in the history of the spy novel, to the impact of the early Bond films on the action movie, to how the series has responded to six decades of political and cultural change. This second edition of the book up to date with coverage of the fiftieth anniversary film SKYFALL, and William Boyd's Bond novel, SOLO.
An introduction to the classical notions behind modern Galois theory.