A.D. Aleksandrov

". . . Nothing less than a major contribution to the scientific culture of this world." — The New York Times Book ReviewThis major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses 20 prime subject areas in mathematics in terms of their simple origins and their subsequent sophisticated developement. As Professor Morris Kline of New York University noted, "This unique work presents the amazing panorama of mathematics proper. It is the best answer in print to what mathematics contains both on the elementary and advanced levels."Beginning with an overview and analysis of mathematics, the first of three major divisions of the book progresses to an exploration of analytic geometry, algebra, and ordinary differential equations. The second part introduces partial differential equations, along with theories of curves and surfaces, the calculus of variations, and functions of a complex variable. It furthur examines prime numbers, the theory of probability, approximations, and the role of computers in mathematics. The theory of functions of a real variable opens the final section, followed by discussions of linear algebra and nonEuclidian geometry, topology, functional analysis, and groups and other algebraic systems.Thorough, coherent explanations of each topic are further augumented by numerous illustrative figures, and every chapter concludes with a suggested reading list. Formerly issued as a three-volume set, this mathematical masterpiece is now available in a convenient and modestly priced one-volume edition, perfect for study or reference."This is a masterful English translation of a stupendous and formidable mathematical masterpiece . . ." — Social Science

LA MATEMÁTICA, SU CONTENIDO, Y SIGNIFICADO ofrece una panorámica difícilmente mejorable de la madre de las ciencias. Publicada en la antigua Unión Soviética, su traducción al inglés fue objeto de grandes elogios por los críticos especializados. Los diecisiete autores que han colaborado en la redacción, los más destacados nombres de las matemáticas rusas, discutieron el plan general de la obra y las sucesivas versiones de cada capítulo. Esta nueva edición reúne en uno los tres anteriores volúmenes que conformaban una obra de grandes virtudes didácticas, en la que su elevada calidad expositiva y su insistencia en los conceptos, más que en las demostraciones, contribuirán decisivamente a elevar el nivel matemático de todos los que la estudien.

Book by A D Aleksandrov, V A Zalgaller

Translated from the Russian, ten lectures review recent research in algebra, mathematical analysis, and the grey zone between them. Included are discussions of local stationary algebras, integral geometry on symmetric manifolds, superalgebras and identities, and Lie groups and ergodic theory. No index. Annotation copyright Book News, Inc. Portland, Or.

Koleektiv avtorov pri sostavlenii etoj knigi ishodil iz namereniya oznakomit dostatochno shirokie krugi sovetskoj inteligentsii s soderzhaniem i metodami otdelnyh matematicheskih distsiplin, iz materialnymi osnovami i putyami razvitiya. V kachestve minimuma predvaritelnyh matematicheskih znanij chitatelya predpolagaetsya znanie tolko kursa srednej shkoly, odnako v otnoshenii dostupnosti materiala kazhdyj iz treh tomov ne yavlyaetsya odnorodnym. This book, "Matematika, ee soderzhanie, metody i znachenie Tom 3," by A. D. Aleksandrov, is a replication of a book originally published before 1956. It has been restored by human beings, page by page, so that you may enjoy it in a form as close to the original as possible.

Clean copy, bright covers with lightly sunned spine. Clean pages - great copy! LISTEDBY(KAD)