01489nam a2200217Ia 4500 CTU_166722 210402s9999 xx 000 0 und d 52.19 514.2 M164 McCleary, John A user’s guide to spectral sequences John McCleary New York Cambridge University Press 2001 Spectral sequences are among the most elegant and powerful methods of computation in mathematics. This book describes some of the most important examples of spectral sequences and some of their most spectacular applications. The first part treats the algebraic foundations for this sort of homological algebra, starting from informal calculations. The heart of the text is an exposition of the classical examples from homotopy theory, with chapters on the Leray-Serre spectral sequence, the Eilenberg-Moore spectral sequence, the Adams spectral sequence, and, in this new edition, the Bockstein spectral sequence. The last part of the book treats applications throughout mathematics, including the theory of knots and links, algebraic geometry, differential geometry and algebra. This is an excellent reference for students and researchers in geometry, topology, and algebra. Spectral sequences (Mathematics) Trình tự quang phổ (Toán học) Trọng Hiếu Trung tâm Học liệu Trường Đại học Cần Thơ