A History Of Algebraic And Differential Topology 1900 1960
Download A History Of Algebraic And Differential Topology 1900 1960 full books in PDF, epub, and Kindle. Read online free A History Of Algebraic And Differential Topology 1900 1960 ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author | : Jean Dieudonné |
Publisher | : Springer Science & Business Media |
Total Pages | : 666 |
Release | : 2009-09-01 |
Genre | : Mathematics |
ISBN | : 0817649077 |
This book is a well-informed and detailed analysis of the problems and development of algebraic topology, from Poincaré and Brouwer to Serre, Adams, and Thom. The author has examined each significant paper along this route and describes the steps and strategy of its proofs and its relation to other work. Previously, the history of the many technical developments of 20th-century mathematics had seemed to present insuperable obstacles to scholarship. This book demonstrates in the case of topology how these obstacles can be overcome, with enlightening results.... Within its chosen boundaries the coverage of this book is superb. Read it! —MathSciNet
Author | : Jean Dieudonné |
Publisher | : Birkhäuser |
Total Pages | : 648 |
Release | : 2009-06-09 |
Genre | : Mathematics |
ISBN | : 9780817649067 |
This book is a well-informed and detailed analysis of the problems and development of algebraic topology, from Poincaré and Brouwer to Serre, Adams, and Thom. The author has examined each significant paper along this route and describes the steps and strategy of its proofs and its relation to other work. Previously, the history of the many technical developments of 20th-century mathematics had seemed to present insuperable obstacles to scholarship. This book demonstrates in the case of topology how these obstacles can be overcome, with enlightening results.... Within its chosen boundaries the coverage of this book is superb. Read it! —MathSciNet
Author | : J. Dieudonné |
Publisher | : |
Total Pages | : 0 |
Release | : 1994 |
Genre | : |
ISBN | : |
Author | : Glen E. Bredon |
Publisher | : Springer Science & Business Media |
Total Pages | : 580 |
Release | : 1993-06-24 |
Genre | : Mathematics |
ISBN | : 0387979263 |
This book offers an introductory course in algebraic topology. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. From the reviews: "An interesting and original graduate text in topology and geometry...a good lecturer can use this text to create a fine course....A beginning graduate student can use this text to learn a great deal of mathematics."—-MATHEMATICAL REVIEWS
Author | : Jean Dieudonné |
Publisher | : CRC Press |
Total Pages | : 202 |
Release | : 1985-05-30 |
Genre | : Mathematics |
ISBN | : 9780412993718 |
This book contains several fundamental ideas that are revived time after time in different guises, providing a better understanding of algebraic geometric phenomena. It shows how the field is enriched with loans from analysis and topology and from commutative algebra and homological algebra.
Author | : Masanori Morishita |
Publisher | : Springer Nature |
Total Pages | : 268 |
Release | : |
Genre | : |
ISBN | : 9819992559 |
Author | : J. P. May |
Publisher | : University of Chicago Press |
Total Pages | : 262 |
Release | : 1999-09 |
Genre | : Mathematics |
ISBN | : 9780226511832 |
Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the book concludes with a list of suggested readings for those interested in delving further into the field.
Author | : Mahima Ranjan Adhikari |
Publisher | : Springer |
Total Pages | : 628 |
Release | : 2016-09-16 |
Genre | : Mathematics |
ISBN | : 813222843X |
This book provides an accessible introduction to algebraic topology, a field at the intersection of topology, geometry and algebra, together with its applications. Moreover, it covers several related topics that are in fact important in the overall scheme of algebraic topology. Comprising eighteen chapters and two appendices, the book integrates various concepts of algebraic topology, supported by examples, exercises, applications and historical notes. Primarily intended as a textbook, the book offers a valuable resource for undergraduate, postgraduate and advanced mathematics students alike. Focusing more on the geometric than on algebraic aspects of the subject, as well as its natural development, the book conveys the basic language of modern algebraic topology by exploring homotopy, homology and cohomology theories, and examines a variety of spaces: spheres, projective spaces, classical groups and their quotient spaces, function spaces, polyhedra, topological groups, Lie groups and cell complexes, etc. The book studies a variety of maps, which are continuous functions between spaces. It also reveals the importance of algebraic topology in contemporary mathematics, theoretical physics, computer science, chemistry, economics, and the biological and medical sciences, and encourages students to engage in further study.
Author | : A. J. Berrick |
Publisher | : Cambridge University Press |
Total Pages | : 384 |
Release | : 2000-05-25 |
Genre | : Mathematics |
ISBN | : 9780521632768 |
This book, first published in 2000, is a concise introduction at graduate level to ring theory, module theory and number theory.
Author | : I.M. James |
Publisher | : Elsevier |
Total Pages | : 1067 |
Release | : 1999-08-24 |
Genre | : Mathematics |
ISBN | : 0080534074 |
Topology, for many years, has been one of the most exciting and influential fields of research in modern mathematics. Although its origins may be traced back several hundred years, it was Poincaré who "gave topology wings" in a classic series of articles published around the turn of the century. While the earlier history, sometimes called the prehistory, is also considered, this volume is mainly concerned with the more recent history of topology, from Poincaré onwards.As will be seen from the list of contents the articles cover a wide range of topics. Some are more technical than others, but the reader without a great deal of technical knowledge should still find most of the articles accessible. Some are written by professional historians of mathematics, others by historically-minded mathematicians, who tend to have a different viewpoint.