eBook PDF Download Digital Library
Author: Hiroshi Toda
Publisher: Princeton University Press
Published: 2016-03-02
Total Pages: 193
ISBN-13: 1400882621
DOWNLOAD EBOOK →The description for this book, Composition Methods in Homotopy Groups of Spheres. (AM-49), Volume 49, will be forthcoming.
Author: Mahender Singh
Publisher: Springer
Published: 2019-02-02
Total Pages: 313
ISBN-13: 9811357420
DOWNLOAD EBOOK →This book highlights the latest advances in algebraic topology, from homotopy theory, braid groups, configuration spaces and toric topology, to transformation groups and the adjoining area of knot theory. It consists of well-written original research papers and survey articles by subject experts, most of which were presented at the “7th East Asian Conference on Algebraic Topology” held at the Indian Institute of Science Education and Research (IISER), Mohali, Punjab, India, from December 1 to 6, 2017. Algebraic topology is a broad area of mathematics that has seen enormous developments over the past decade, and as such this book is a valuable resource for graduate students and researchers working in the field.
Author: Mark E. Mahowald
Publisher: American Mathematical Soc.
Published: 1989
Total Pages: 366
ISBN-13: 0821851020
DOWNLOAD EBOOK →This book will provide readers with an overview of some of the major developments in current research in algebraic topology. Representing some of the leading researchers in the field, the book contains the proceedings of the International Conference on Algebraic Topology, held at Northwestern University in March, 1988. Several of the lectures at the conference were expository and will therefore appeal to topologists in a broad range of areas. The primary emphasis of the book is on homotopy theory and its applications. The topics covered include elliptic cohomology, stable and unstable homotopy theory, classifying spaces, and equivariant homotopy and cohomology. Geometric topics--such as knot theory, divisors and configurations on surfaces, foliations, and Siegel spaces--are also discussed. Researchers wishing to follow current trends in algebraic topology will find this book a valuable resource.
Author: D.B. Fuchs
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 264
ISBN-13: 3662105810
DOWNLOAD EBOOK →Two top experts in topology, O.Ya. Viro and D.B. Fuchs, give an up-to-date account of research in central areas of topology and the theory of Lie groups. They cover homotopy, homology and cohomology as well as the theory of manifolds, Lie groups, Grassmanians and low-dimensional manifolds. Their book will be used by graduate students and researchers in mathematics and mathematical physics.
Author: Douglas C. Ravenel
Publisher:
Published: 2003
Total Pages: 418
ISBN-13: 9781470429980
DOWNLOAD EBOOK →Since the publication of its first edition, this book has served as one of the few available on the classical Adams spectral sequence, and is the best account on the Adams-Novikov spectral sequence. This new edition has been updated in many places, especially the final chapter, which has been completely rewritten with an eye toward future research in the field. It remains the definitive reference on the stable homotopy groups of spheres. The first three chapters introduce the homotopy groups of spheres and take the reader from the classical results in the field though the computational aspects.
Author: James W. Vick
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 258
ISBN-13: 1461208815
DOWNLOAD EBOOK →This introduction to some basic ideas in algebraic topology is devoted to the foundations and applications of homology theory. After the essentials of singular homology and some important applications are given, successive topics covered include attaching spaces, finite CW complexes, cohomology products, manifolds, Poincare duality, and fixed point theory. This second edition includes a chapter on covering spaces and many new exercises.
Author:
Publisher:
Published: 1985
Total Pages: 1858
ISBN-13:
DOWNLOAD EBOOK →Vols. for 1980- issued in three parts: Series, Authors, and Titles.
Author: A.T. Fomenko
Publisher: CRC Press
Published: 1998-11-26
Total Pages: 322
ISBN-13: 9789056990077
DOWNLOAD EBOOK →Reflecting the significant contributions of Russian mathematicians to the field, this book contains a selection of papers on tensor and vector analysis. It is divided into three parts, covering Hamiltonian systems, Riemannian geometry and calculus of variations, and topology. The range of applications of these topics is very broad, as many modern geometrical problems recur across a wide range of fields, including mechanics and physics as well as mathematics. Many of the approaches to problems presented in this volume will be novel to the Western reader, although questions are of global interest. The main achievements of the Russian school are placed in the context of the development of each individual subject.
Author: Paul Baird
Publisher: Pitman Advanced Publishing Program
Published: 1983
Total Pages: 204
ISBN-13:
DOWNLOAD EBOOK →"The aim of this book is to construct harmonic maps between Riemannian manifolds, and in particular between spheres. These maps have a delightful geometry associated with them - they preserve families of level hypersurfaces of constant mean curvature. New maps between Euclidean spheres are constructed, as well as harmonic maps from hyperbolic space to sphere and from Euclidean space to sphere. The author makes considerable use of the stress-energy tensor, which has not previously been used in the context of harmonic maps...In particular, it is used to solve the rendering problem for certain classes of maps between spheres." - back cover
