The Convenient Setting of Global Analysis

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Publisher : American Mathematical Society
ISBN 13 : 1470478935
Total Pages : 631 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Convenient Setting of Global Analysis by : Andreas Kriegl

Download or read book The Convenient Setting of Global Analysis written by Andreas Kriegl and published by American Mathematical Society. This book was released on 2024-08-15 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book lays the foundations of differential calculus in infinite dimensions and discusses those applications in infinite dimensional differential geometry and global analysis not involving Sobolev completions and fixed point theory. The approach is simple: a mapping is called smooth if it maps smooth curves to smooth curves. Up to Fr‚chet spaces, this notion of smoothness coincides with all known reasonable concepts. In the same spirit, calculus of holomorphic mappings (including Hartogs' theorem and holomorphic uniform boundedness theorems) and calculus of real analytic mappings are developed. Existence of smooth partitions of unity, the foundations of manifold theory in infinite dimensions, the relation between tangent vectors and derivations, and differential forms are discussed thoroughly. Special emphasis is given to the notion of regular infinite dimensional Lie groups. Many applications of this theory are included: manifolds of smooth mappings, groups of diffeomorphisms, geodesics on spaces of Riemannian metrics, direct limit manifolds, perturbation theory of operators, and differentiability questions of infinite dimensional representations.

Categorical Topology

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Publisher : Springer
ISBN 13 : 354038118X
Total Pages : 735 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Categorical Topology by : E. Binz

Download or read book Categorical Topology written by E. Binz and published by Springer. This book was released on 2006-11-14 with total page 735 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Generalized Lie Theory in Mathematics, Physics and Beyond

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Publisher : Springer Science & Business Media
ISBN 13 : 3540853324
Total Pages : 308 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Generalized Lie Theory in Mathematics, Physics and Beyond by : Sergei D. Silvestrov

Download or read book Generalized Lie Theory in Mathematics, Physics and Beyond written by Sergei D. Silvestrov and published by Springer Science & Business Media. This book was released on 2008-11-18 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the cutting edge of the fundamental role of generalizations of Lie theory and related non-commutative and non-associative structures in mathematics and physics.

Topics in Analysis

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Publisher : Springer
ISBN 13 : 354037907X
Total Pages : 408 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Topics in Analysis by : O.E. Lehto

Download or read book Topics in Analysis written by O.E. Lehto and published by Springer. This book was released on 2006-11-15 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Category Theory

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Publisher : Springer
ISBN 13 : 3540395504
Total Pages : 341 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Category Theory by : K. H. Kamps

Download or read book Category Theory written by K. H. Kamps and published by Springer. This book was released on 2006-11-15 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Differential Calculus in Topological Linear Spaces

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Publisher : Springer
ISBN 13 : 3540379711
Total Pages : 184 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Differential Calculus in Topological Linear Spaces by : S. Yamamuro

Download or read book Differential Calculus in Topological Linear Spaces written by S. Yamamuro and published by Springer. This book was released on 2006-11-15 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Non-Commutative Harmonic Analysis

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Publisher : Springer
ISBN 13 : 3540375244
Total Pages : 241 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Non-Commutative Harmonic Analysis by : J. Carmona

Download or read book Non-Commutative Harmonic Analysis written by J. Carmona and published by Springer. This book was released on 2006-11-14 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Index and Other Useful Information

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Publisher : Springer
ISBN 13 : 1489945814
Total Pages : 82 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis An Index and Other Useful Information by : A. Dold

Download or read book An Index and Other Useful Information written by A. Dold and published by Springer. This book was released on 2013-12-11 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Classification of Algebraic Varieties and Compact Complex Manifolds

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Publisher : Springer
ISBN 13 : 3540378774
Total Pages : 341 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Classification of Algebraic Varieties and Compact Complex Manifolds by : H. Popp

Download or read book Classification of Algebraic Varieties and Compact Complex Manifolds written by H. Popp and published by Springer. This book was released on 2006-11-15 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Mechanics

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Publisher : Springer
ISBN 13 : 3540375031
Total Pages : 334 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Computational Mechanics by : J.T. Oden

Download or read book Computational Mechanics written by J.T. Oden and published by Springer. This book was released on 2006-11-14 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Crash Course on Kleinian Groups

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Publisher : Springer
ISBN 13 : 354037776X
Total Pages : 140 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis A Crash Course on Kleinian Groups by : L. Bers

Download or read book A Crash Course on Kleinian Groups written by L. Bers and published by Springer. This book was released on 2006-11-15 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Coding Theory

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Publisher : Springer
ISBN 13 : 3540366571
Total Pages : 146 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Coding Theory by : J. H. van Lint

Download or read book Coding Theory written by J. H. van Lint and published by Springer. This book was released on 2009-08-14 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes are the contents of a two-term course given by me during the 1970-1971 academic year as Morgan Ward visiting professor at the California Institute of Technology. The students who took the course were mathematics seniors and graduate students. Therefore a thorough knowledge of algebra. (a. o. linear algebra, theory of finite fields, characters of abelian groups) and also probability theory were assumed. After introducing coding theory and linear codes these notes concern topics mostly from algebraic coding theory. The practical side of the subject, e. g. circuitry, is not included. Some topics which one would like to include 1n a course for students of mathematics such as bounds on the information rate of codes and many connections between combinatorial mathematics and coding theory could not be treated due to lack of time. For an extension of the course into a third term these two topics would have been chosen. Although the material for this course came from many sources there are three which contributed heavily and which were used as suggested reading material for the students. These are W. W. Peterson's Error-Correcting Codes «(15]), E. R. Berlekamp's Algebraic Coding Theory «(5]) and several of the AFCRL-reports by E. F. Assmus, H. F. Mattson and R. Turyn ([2], (3), [4] a. o. ). For several fruitful discussions I would like to thank R. J. McEliece.

Summer School on Topological Vector Spaces

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Publisher : Springer
ISBN 13 : 354046977X
Total Pages : 236 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Summer School on Topological Vector Spaces by : L. Waelbroeck

Download or read book Summer School on Topological Vector Spaces written by L. Waelbroeck and published by Springer. This book was released on 2006-11-15 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings 1972

Decidable Theories

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Publisher : Springer
ISBN 13 : 354046946X
Total Pages : 225 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Decidable Theories by : J.R. Büchi

Download or read book Decidable Theories written by J.R. Büchi and published by Springer. This book was released on 2006-11-14 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Recent Advances in Topological Dynamics

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Publisher : Springer
ISBN 13 : 3540384146
Total Pages : 290 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Recent Advances in Topological Dynamics by : A. Beck

Download or read book Recent Advances in Topological Dynamics written by A. Beck and published by Springer. This book was released on 2006-12-22 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Conference on Group Theory

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Publisher : Springer
ISBN 13 : 3540384790
Total Pages : 197 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Conference on Group Theory by : R. W. Gatterdam

Download or read book Conference on Group Theory written by R. W. Gatterdam and published by Springer. This book was released on 2006-11-15 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Cambridge Summer School in Mathematical Logic

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Publisher : Springer
ISBN 13 : 3540368841
Total Pages : 673 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Cambridge Summer School in Mathematical Logic by : A. R. D. Mathias

Download or read book Cambridge Summer School in Mathematical Logic written by A. R. D. Mathias and published by Springer. This book was released on 2006-11-15 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: