Author: Alexandre Grothendieck
Publisher:
ISBN:
Category : Fiber spaces (Mathematics)
Languages : en
Pages : 108

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Author: Alexander Grothendieck
Publisher:
ISBN:
Category : Fiber spaces (Mathematics)
Languages : en
Pages : 99

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Author: Kunihiko Kodaira
Publisher: Princeton University Press
ISBN: 1400869870
Category : Mathematics
Languages : en
Pages : 494

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Book Description
Kunihiko Kodaira's influence in mathematics has been fundamental and international, and his efforts have helped lay the foundations of modern complex analysis. These three volumes contain Kodaira's written contributions, published in a large number of journals and books between 1937 and 1971. The volumes cover chronologically the major periods of Kodaira's mathematical concentration and reflect his collaboration with other prominent theoreticians. The next major period, the classification of compact, complex analytic surfaces, forms the subject of Volume III and is a natural sequel to the papers on variation of complex structure. Originally published in 1975. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Author: Ralph Krömer
Publisher: Springer Science & Business Media
ISBN: 3764375248
Category : Mathematics
Languages : en
Pages : 400

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Category theory is a general mathematical theory of structures and of structures of structures. It occupied a central position in contemporary mathematics as well as computer science. This book describes the history of category theory whereby illuminating its symbiotic relationship to algebraic topology, homological algebra, algebraic geometry and mathematical logic and elaboratively develops the connections with the epistemological significance.

Author: Dale Husemöller
Publisher: Springer Science & Business Media
ISBN: 3540749551
Category : Mathematics
Languages : en
Pages : 344

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Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory. It aims to provide newcomers to the field with solid foundations in topological K-theory. A fundamental theme, emphasized in the book, centers around the gluing of local bundle data related to bundles into a global object. One renewed motivation for studying this subject, comes from quantum field theory, where topological invariants play an important role.

Author: Bo'az Klartag
Publisher: Springer
ISBN: 3642298494
Category : Mathematics
Languages : en
Pages : 444

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This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) from the years 2006 to 2011 continues the long tradition of the previous volumes, which reflect the general trends of Asymptotic Geometric Analysis, understood in a broad sense, and are a source of inspiration for new research. Most of the papers deal with various aspects of the theory, including classical topics in the geometry of convex bodies, inequalities involving volumes of such bodies or more generally, logarithmically-concave measures, valuation theory, probabilistic and isoperimetric problems in the combinatorial setting, volume distribution on high-dimensional spaces and characterization of classical constructions in Geometry and Analysis (like the Legendre and Fourier transforms, derivation and others). All the papers here are original research papers.

Author: Bruce Hunt
Publisher: Springer Nature
ISBN: 3030698041
Category : Mathematics
Languages : en
Pages : 622

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What do the classification of algebraic surfaces, Weyl's dimension formula and maximal orders in central simple algebras have in common? All are related to a type of manifold called locally mixed symmetric spaces in this book. The presentation emphasizes geometric concepts and relations and gives each reader the "roter Faden", starting from the basics and proceeding towards quite advanced topics which lie at the intersection of differential and algebraic geometry, algebra and topology. Avoiding technicalities and assuming only a working knowledge of real Lie groups, the text provides a wealth of examples of symmetric spaces. The last two chapters deal with one particular case (Kuga fiber spaces) and a generalization (elliptic surfaces), both of which require some knowledge of algebraic geometry. Of interest to topologists, differential or algebraic geometers working in areas related to arithmetic groups, the book also offers an introduction to the ideas for non-experts.

Author: Donald Clayton Spencer
Publisher: World Scientific
ISBN: 9789971978037
Category : Mathematics
Languages : en
Pages : 694

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Author: Ernst Snapper
Publisher: American Mathematical Soc.
ISBN: 0821812335
Category : Algebraic topology
Languages : en
Pages : 104

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Author: M. P. Fourman
Publisher: Springer
ISBN: 3540348492
Category : Mathematics
Languages : en
Pages : 798

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