Автор: Knopp, Konrad Название: Theory and Application of Infinite Series ISBN: 0486661652 ISBN-13(EAN): 9780486661650 Издательство: Dover Рейтинг: Цена: 2638 р. Наличие на складе: Нет в наличии.
Описание: This classic work, written in a clear and interesting style, with many exercises, offers a thorough and reliable treatment of an important branch of higher analysis. It lends itself well to use in course work; however, because of its consistent clear illustrations of theoretical difficulties, the book is also ideal for self-study. Since all higher analysis depends on the theory of numbers, Professor Knopp (formerly Professor of Mathematics, University of T bingen) begins with an introduction to the theory of real numbers, an indispensable foundation for what is to come. This introduction is followed by an extensive account of the theory of sequences and the actual theory of infinite series. The latter is covered in two stages: (1) the classical theory (2) later developments of the 19th century. Carefully selected exercises have been included throughout, emphasizing applications of the theory, rather than purely theoretical considerations. Aimed at students already acquainted with the elements of differential and integral calculus, this work grew out of the author's lectures and course work at the universities of Berlin and K nigsberg. This pedagogical background helped him achieve a work of utmost clarity and precision -- one that belongs in the library of every serious mathematician or student of higher analysis.
Автор: Cooke, Richard Название: Infinite Matrices and Sequence Spaces ISBN: 048678083X ISBN-13(EAN): 9780486780832 Издательство: Dover Рейтинг: Цена: 2638 р. Наличие на складе: Нет в наличии.
Описание: This clear and correct summation of basic results from a specialized field focuses on the behavior of infinite matrices in general, rather than on properties of special matrices. Three introductory chapters guide students to the manipulation of infinite matrices, covering definitions and preliminary ideas, reciprocals of infinite matrices, and linear equations involving infinite matrices. From the fourth chapter onward, the author treats the application of infinite matrices to the summability of divergent sequences and series from various points of view. Topics include consistency, mutual consistency, and absolute equivalence; the core of a sequence; the inefficiency and the efficiency problems for infinite matrices; Hilbert vector space and Hilbert matrices; and projective and distance convergence and limit in sequence spaces. Each chapter concludes with examples -- nearly 200 in all.
Автор: Passman, Donald Название: Infinite Crossed Products ISBN: 0486497402 ISBN-13(EAN): 9780486497402 Издательство: Dover Рейтинг: Цена: 2868 р. Наличие на складе: Нет в наличии.
Описание: This groundbreaking monograph in advanced algebra addresses crossed products. Author Donald S. Passman notes that crossed products have advanced from their first occurrence in finite dimensional division algebras and central simple algebras to a closer relationship with the study of infinite group algebras, group-graded rings, and the Galois theory of noncommutative rings. Suitable for advanced undergraduates and graduate students of mathematics, the text examines crossed products and group-graded rings, delta methods and semiprime rings, the symmetric ring of quotients, and prime ideals, both in terms of finite and Noetherian cases. Additional topics include group actions and fixed rings, group actions and Galois theory, Grothendieck groups and induced modules, and zero divisors and idempotents.
Автор: Stegenga Wil Название: Infinite Coloring Geometric Motifs CD and Book ISBN: 0486472973 ISBN-13(EAN): 9780486472973 Издательство: Dover Цена: 1033 р. Наличие на складе: Нет в наличии.
Описание: "As notable as the book's broad sweep is the author's good-natured, humorous presentation. The willing reader can sit back and enjoy an all-encompassing, irrepressibly enthusiastic tour, ranging from psycho physics to quasicrystals, from gambling strategies to Bach concertos, from the construction of Cantor sets to the design of concert halls." -- Physics Today "Such a richness of topics and amazing splendor of illustrations " -- Mathematics Magazine "An inviting exposition for a literate but not highly scientific audience." -- American Mathematical Monthly This fascinating book explores the connections between chaos theory, physics, biology, and mathematics. Its award-winning computer graphics, optical illusions, and games illustrate the concept of self-similarity, a typical property of fractals. Author Manfred Schroeder -- hailed by Publishers Weekly as a modern Lewis Carroll -- conveys memorable insights in the form of puns and puzzles that relate abstract mathematics to everyday experience. Excellent entertainment for readers with a grasp of algebra and some calculus, this book forms a fine university-level introduction to fractal math. Eight pages of color images clarify the text, along with numerous black-and-white illustrations.
Автор: David Hop Название: Infinite Coloring Geoscapes CD and Book ISBN: 0486469514 ISBN-13(EAN): 9780486469515 Издательство: Dover Рейтинг: Цена: 1033 р. Наличие на складе: Нет в наличии.
Описание: A unique colouring experience that offers endless creative possibilities.
Автор: Sato Koichi Название: Infinite Coloring Dazzling Designs CD and Book ISBN: 0486469506 ISBN-13(EAN): 9780486469508 Издательство: Dover Рейтинг: Цена: 1033 р. Наличие на складе: Нет в наличии.
Описание: A unique colouring experience that offers endless creative possibilities.
Автор: Bartfeld Martha Название: Infinite Coloring Mandala Designs CD and Book ISBN: 0486469492 ISBN-13(EAN): 9780486469492 Издательство: Dover Рейтинг: Цена: 1148 р. Наличие на складе: Нет в наличии.
Описание: A unique colouring experience that offers endless creative possibilities.
Описание: From the hopeful anticipation of Mary, do you fancy me? to the bitterness of Hag, you've killed me, this extraordinary compilation of Irish melodies runs the emotional gamut, with melancholy airs and sprightly reels aplenty. Its source material, The Petrie Collection of the Ancient Music of Ireland, ranks among the most important 19th-century collections of traditional Irish music, with its song texts in both Irish and English, plus George Petrie's detailed notes about the music's origins. Out of print for many years, the Petrie Collection became an extremely rare and much sought-after collector's item; this new edition will bring the cherished old songs into the repertoire of any student or performer of traditional Irish music.
