Описание: This introduction to the theory of Sobolev spaces and Hilbert space methods in partial differential equations is geared toward readers of modest mathematical backgrounds. It offers coherent, accessible demonstrations of the use of these techniques in developing the foundations of the theory of finite element approximations. J. T. Oden is Director of the Institute for Computational Engineering & Sciences (ICES) at the University of Texas at Austin, and J. N. Reddy is a Professor of Engineering at Texas A&M University. They developed this essentially self-contained text from their seminars and courses for students with diverse educational backgrounds. Their effective presentation begins with introductory accounts of the theory of distributions, Sobolev spaces, intermediate spaces and duality, the theory of elliptic equations, and variational boundary value problems. The second half of the text explores the theory of finite element interpolation, finite element methods for elliptic equations, and finite element methods for initial boundary value problems. Detailed proofs of the major theorems appear throughout the text, in addition to numerous examples.
Victorian architecture, with its quirky diversity, eclectic origins, and exuberant ornamentation, continues to exert a strong attraction on today's architects, builders, and homeowners. For those interested in restoring, preserving, or even re-creating Victorian homes, authentic plans and designs are invaluable. This volume, meticulously reproduced from a rare nineteenth-century publication, offers an exceptionally rich pictorial record of actual mid- to late-Victorian designs. Extremely clear and detailed engravings -- drawn to scale -- present elevations, floor plans, perspectives, and other drawings (in some cases, complete framing plans) for country houses and cottages in a variety of styles: Queen Anne, Eastlake, Elizabethan, Colonial, Jacobean, Southern, Californian, and more. There are even designs for several store and office fronts, with counters, shelving, etc. Supplementing the large number of complete designs are nearly 700 large-scale drawings of virtually every architectural detail, many embodying the unique "gingerbread" that characterizes Victorian buildings. Included are clear, precise renderings of balusters, brackets, dormers, fireplaces, finials, gables, mantels, moldings, newels, porches, rafters, rosettes, staircases, transoms, verandahs, wainscoting, windows, and hundreds of other features. Restorers of old houses, preservationists, students of American architectural history, admirers of Victoriana, and anyone interested in the Victorian Gothic styles that dominated American domestic architecture in the late 1800s will want to have this inexpensive treasury of authentic century-old plans and details.
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Название: The Thirteen Books of the Elements, Vol. 3 ISBN: 0486600904 ISBN-13(EAN): 9780486600901 Издательство: Dover Рейтинг: Цена: 3723.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is the definitive edition of one of the very greatest classics of all time--the full Euclid, not an abridgement. Utilizing the text established by Heiberg, Sir Thomas Heath encompasses almost 2500 years of mathematical and historical study upon Euclid. This unabridged republication of the original enlarged edition contains the complete English text of all 13 books of the Elements, plus a critical apparatus which analyzes each definition, postulate, and proposition in great detail. It covers textual and linguistic matters; mathematical anayses of Euclid's ideas; classical, medieval, Renaissance, modern commentators; refutations, supports, extrapolations, reinterpretations, and historical notes, all given with extensive quotes. The textbook that shall really replace Euclid has not yet been written and probably never will be, Encyclopaedia Britannica.
Название: The Thirteen Books of the Elements, Vol. 1 ISBN: 0486600882 ISBN-13(EAN): 9780486600888 Издательство: Dover Рейтинг: Цена: 3723.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is the definitive edition of one of the very greatest classics of all time -- the full Euclid, not an abridgement. Using the text established by Heiberg, Sir Thomas Heath encompasses almost 2,500 years of mathematical and historical study upon Euclid. This unabridged republication of the original enlarged edition contains the complete English text of all 13 books of the Elements, plus a critical apparatus that analyzes each definition, postulate, and proposition in great detail. It covers textual and linguistic matters; mathematical analyses of Euclid's ideas; classical, medieval, Renaissance, modern commentators; refutations, supports, extrapolations, reinterpretations, and historical notes, all given with extensive quotes. "The textbook that shall really replace Euclid has not yet been written and probably never will be." -- Encyclopaedia Britannica. Volume 1. 151-page Introduction: life and other works of Euclid; Greek and Islamic commentators; surviving mss., scholia, translations; bases of Euclid's thought. Books I and II of the Elements, straight lines, angles, intersection of lines, triangles, parallelograms, etc. Volume 2. Books III-IX: Circles, tangents, segments, figures described around and within circles, rations, proportions, magnitudes, polygons, prime numbers, products, plane and solid numbers, series of rations, etc. Volume 3. Books X to XIII: planes, solid angles, etc.; method of exhaustion in similar polygons within circles, pyramids, cones, cylinders, spheres, etc. Appendix: Books XIV, XV, sometimes ascribed to Euclid.
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