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This text presents ideas of elementary real analysis, with chapters on real numbers, sequences, limits and continuity, differentiation, integration, infinite series, sequences and series of functions, and point-set topology. Appendices review essential ideas of mathematical logic, sets and functions, and mathematical induction. Students are required to confront formal proofs. Some background in calculus or linear or abstract algebra is assumed. This second edition adds material on functions of bounded variation, convex functions, numerical methods of integration, and metric spaces. There are 1,600 exercises in this edition, an addition of some 120 pages. c. Book News Inc.
This is an elementary, self-contained presentation of the integration processes developed by Lebesgue, Denjoy, Perron, and Henstock. An excellent text for graduate students with a background in real analysis.
Written for junior and senior undergraduates, this remarkably clear and accessible treatment covers set theory, the real number system, metric spaces, continuous functions, Riemann integration, multiple integrals, and more. 1968 edition.
Real Analysis builds the theory behind calculus directly from the basic concepts of real numbers, limits, and open and closed sets in $\mathbb{R}^n$. It gives the three characterizations of continuity: via epsilon-delta, sequences, and open sets. It gives the three characterizations of compactness: as ``closed and bounded,'' via sequences, and via open covers. Topics include Fourier series, the Gamma function, metric spaces, and Ascoli's Theorem. The text not only provides efficient proofs, but also shows the student how to come up with them. The excellent exercises come with select solutions in the back. Here is a real analysis text that is short enough for the student to read and understand and complete enough to be the primary text for a serious undergraduate course. Frank Morgan is the author of five books and over one hundred articles on mathematics. He is an inaugural recipient of the Mathematical Association of America's national Haimo award for excellence in teaching. With this book, Morgan has finally brought his famous direct style to an undergraduate real analysis text.
This book is written from the perspective of a social psychologist. As a conse quence, the topics covered in the upcoming chapters were chosen from among those traditionally of interest to the discipline of social psychology. A criterion for inclusion was the topic's usefulness in providing insights and/or understand ing ofthe social processes at work in sports settings. To this end, I have drawn ex tensively from mainstream journals in social psychology (e. g. , Journal of Per sonality and Social Psychology), and grounded the discussion of topics and issues on the methodologically sound studies/experiments they generally provide. There is also an equally strong interdisciplinary emphasis th...
A thrilling, hard-edged urban novel of gay Jamaican life in gangsta London by NAACP Image Award Nominee John R Gordon. 'Foreign... me haffi go a foreign...' Outed and driven from his homeland by a murderous mob, gay Jamaican Cutty Munroe arrives in London penniless and desperate. At first he is relieved to be given shelter by Buju Staples, a petty crook on the White City Estate, and his girlfriend Cynthia, but Cynthia soon wants to be rid of this 'wasteman' crashing on her man's sofa. Cutty, however, has nowhere else to go. Traumatised and lonely, Cutty falls in love with Buju, and starts to believe that Buju might share his feelings. One night while out on the rob Cutty makes a move on his ...
This volume explores the making of Gordon Parks' first photographie essay for Life magazine in 1948, "Harlem Gang Leader". After gaining the trust of one particular group of gang members and their leader, Leonard "Red" Jackson, Parks produced a series of photographs that are artful, poignant, and, at times, shocking. From this large body of work (Parks made hundreds of negatives) the editors at Life selected twenty-one pictures to print in the magazine, often cropping or enhancing details in the pictures. Gordon Parks : The .Making of an Argument traces this editorial process and parses out the various voices and motives behind the production of the picture essay. This volume. together with ...
Many abodes can fall under the label of surf shack: New York City apartments, cabins nestled next to national parks, or tiny Hawaiian huts. Surfing communities are overflowing with creativity, innovation, and rich personas. Surf Shacks takes a deeper look at surfers' homes and artistic habits. Glimpses of record collections, strolls through backyard gardens, or a peek into a painter's studio provide insight into surfers' lives both on and off shore. From the remote Hawaiian nook of filmmaker Jess Bianchi to the woodsy Japanese paradise that the former CEO of Surfrider Foundation in Japan, Hiromi Masubara, calls home to the converted bus that Ryan Lovelace claims as his domicile and his transport, every space has a unique tale. The moments that these vibrant personalities spend away from the swell and the froth are both captivating and nuanced.
This beautifully illustrated guide gives horse owners a thorough understanding of the nature and needs of horses, and supplies all the necessary information to help build the perfect relationship between you and your horse.