WorldCat Identities

Tu, Loring W.

Works: 10 works in 97 publications in 4 languages and 2,149 library holdings
Roles: Author
Classifications: QA613.6, 514.72
Publication Timeline
Most widely held works by Loring W Tu
Differential forms in algebraic topology by Raoul Bott( Book )

31 editions published between 1981 and 2010 in 3 languages and held by 720 WorldCat member libraries worldwide

This text, developed from a first-year graduate course in algebraic topology, is an informal introduction to some of the main ideas of contemporary homotopy and cohomology theory. The materials are structured around four core areas- de Rham theory, the Cech-de Rham complex, spectral sequences, and characteristic classes-and include some applications to homotopy theory. By using the de Rham theory of differential forms as a prototype of cohomology, the machineries of algebraic topology are made easier to assimilate. With its stress on concreteness, motivation, and readability, "Differential Forms in Algebraic Topology" should be suitable for self-study or for a one- semester course in topology
An introduction to manifolds by Loring W Tu( Book )

39 editions published between 2007 and 2011 in English and held by 408 WorldCat member libraries worldwide

Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory. In this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book the reader should be able to compute, at least for simple spaces, one of the most basic topological invariants of a manifold, its de Rham cohomology. Along the way the reader acquires the knowledge and skills necessary for further study of geometry and topology. The requisite point-set topology is included in an appendix of twenty pages other appendices review facts from real analysis and linear algebra. Hints and solutions are provided to many of the exercises and problems. This work may be used as the text for a one-semester graduate or advanced undergraduate course, as well as by students engaged in self-study. Requiring only minimal undergraduate prerequisites, Introduction to Manifolds is also an excellent foundation for Springer GTM 82, Differential Forms in Algebraic Topology (by Raoul Bott and Loring W. Tu)
Differencialʹnye formy v algebraičeskoj topologii by Raoul Bott( Book )

5 editions published in 1989 in Russian and held by 11 WorldCat member libraries worldwide

Bibun keishiki to daisū toporojī( Book )

2 editions published in 1996 in Japanese and held by 3 WorldCat member libraries worldwide

An Introduction to Manifolds by Loring W Tu( )

4 editions published between 2008 and 2011 in English and held by 2 WorldCat member libraries worldwide

Variation of Hodge structure and the local Torelli problem by Loring W Tu( Book )

1 edition published in 1979 in English and held by 1 WorldCat member library worldwide

Differential Forms in Algebraic Topology by Raoul Bott( )

in Undetermined and held by 0 WorldCat member libraries worldwide

Audience Level
Audience Level
  Kids General Special  
Audience level: 0.59 (from 0.52 for An introdu ... to 1.00 for Differenti ...)

Differential forms in algebraic topology
Alternative Names
To, Buryo

Tu, L. V.

Tu, L. V. 1952-

Tu L. W.

Tu, Loring W.

Tu Loring Wuliang

Tu, Loring Wuliang 1952-

Ту, Л. В

Ту, Л. В. (Лоринг В.)

ト, ブリョウ

An introduction to manifoldsAn Introduction to Manifolds