Author: Francois Sigrist
Publisher: Springer
ISBN: 3540366210
Category : Mathematics
Languages : en
Pages : 165
Book Description
H - Spaces
Author: Francois Sigrist
Publisher: Springer
ISBN: 3540366210
Category : Mathematics
Languages : en
Pages : 165
Book Description
Publisher: Springer
ISBN: 3540366210
Category : Mathematics
Languages : en
Pages : 165
Book Description
Hopf Spaces
Author:
Publisher: Elsevier
ISBN: 008087133X
Category : Mathematics
Languages : en
Pages : 235
Book Description
Hopf Spaces
Publisher: Elsevier
ISBN: 008087133X
Category : Mathematics
Languages : en
Pages : 235
Book Description
Hopf Spaces
Functional Analysis, Sobolev Spaces and Partial Differential Equations
Author: Haim Brezis
Publisher: Springer Science & Business Media
ISBN: 0387709142
Category : Mathematics
Languages : en
Pages : 600
Book Description
This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.
Publisher: Springer Science & Business Media
ISBN: 0387709142
Category : Mathematics
Languages : en
Pages : 600
Book Description
This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.
Convex Analysis and Monotone Operator Theory in Hilbert Spaces
Author: Heinz H. Bauschke
Publisher: Springer
ISBN: 3319483110
Category : Mathematics
Languages : en
Pages : 624
Book Description
This reference text, now in its second edition, offers a modern unifying presentation of three basic areas of nonlinear analysis: convex analysis, monotone operator theory, and the fixed point theory of nonexpansive operators. Taking a unique comprehensive approach, the theory is developed from the ground up, with the rich connections and interactions between the areas as the central focus, and it is illustrated by a large number of examples. The Hilbert space setting of the material offers a wide range of applications while avoiding the technical difficulties of general Banach spaces. The authors have also drawn upon recent advances and modern tools to simplify the proofs of key results making the book more accessible to a broader range of scholars and users. Combining a strong emphasis on applications with exceptionally lucid writing and an abundance of exercises, this text is of great value to a large audience including pure and applied mathematicians as well as researchers in engineering, data science, machine learning, physics, decision sciences, economics, and inverse problems. The second edition of Convex Analysis and Monotone Operator Theory in Hilbert Spaces greatly expands on the first edition, containing over 140 pages of new material, over 270 new results, and more than 100 new exercises. It features a new chapter on proximity operators including two sections on proximity operators of matrix functions, in addition to several new sections distributed throughout the original chapters. Many existing results have been improved, and the list of references has been updated. Heinz H. Bauschke is a Full Professor of Mathematics at the Kelowna campus of the University of British Columbia, Canada. Patrick L. Combettes, IEEE Fellow, was on the faculty of the City University of New York and of Université Pierre et Marie Curie – Paris 6 before joining North Carolina State University as a Distinguished Professor of Mathematics in 2016.
Publisher: Springer
ISBN: 3319483110
Category : Mathematics
Languages : en
Pages : 624
Book Description
This reference text, now in its second edition, offers a modern unifying presentation of three basic areas of nonlinear analysis: convex analysis, monotone operator theory, and the fixed point theory of nonexpansive operators. Taking a unique comprehensive approach, the theory is developed from the ground up, with the rich connections and interactions between the areas as the central focus, and it is illustrated by a large number of examples. The Hilbert space setting of the material offers a wide range of applications while avoiding the technical difficulties of general Banach spaces. The authors have also drawn upon recent advances and modern tools to simplify the proofs of key results making the book more accessible to a broader range of scholars and users. Combining a strong emphasis on applications with exceptionally lucid writing and an abundance of exercises, this text is of great value to a large audience including pure and applied mathematicians as well as researchers in engineering, data science, machine learning, physics, decision sciences, economics, and inverse problems. The second edition of Convex Analysis and Monotone Operator Theory in Hilbert Spaces greatly expands on the first edition, containing over 140 pages of new material, over 270 new results, and more than 100 new exercises. It features a new chapter on proximity operators including two sections on proximity operators of matrix functions, in addition to several new sections distributed throughout the original chapters. Many existing results have been improved, and the list of references has been updated. Heinz H. Bauschke is a Full Professor of Mathematics at the Kelowna campus of the University of British Columbia, Canada. Patrick L. Combettes, IEEE Fellow, was on the faculty of the City University of New York and of Université Pierre et Marie Curie – Paris 6 before joining North Carolina State University as a Distinguished Professor of Mathematics in 2016.
Theory of Hp Spaces
Author: Peter L. Duren
Publisher: Courier Dover Publications
ISBN: 9780486411842
Category : Analytic functions
Languages : en
Pages : 0
Book Description
A blend of classical and modern techniques and viewpoints, this text examines harmonic and subharmonic functions, the basic structure of Hp functions, applications, Taylor coefficients, interpolation theory, more. 1970 edition.
Publisher: Courier Dover Publications
ISBN: 9780486411842
Category : Analytic functions
Languages : en
Pages : 0
Book Description
A blend of classical and modern techniques and viewpoints, this text examines harmonic and subharmonic functions, the basic structure of Hp functions, applications, Taylor coefficients, interpolation theory, more. 1970 edition.
Border Spaces
Author: Katherine G. Morrissey
Publisher: University of Arizona Press
ISBN: 0816538212
Category : History
Languages : ar
Pages : 249
Book Description
The built environment along the U.S.-Mexico border has long been a hotbed of political and creative action. In this volume, the historically tense region and visually provocative margin—the southwestern United States and northern Mexico—take center stage. From the borderlands perspective, the symbolic importance and visual impact of border spaces resonate deeply. In Border Spaces, Katherine G. Morrissey, John-Michael H. Warner, and other essayists build on the insights of border dwellers, or fronterizos, and draw on two interrelated fields—border art history and border studies. The editors engage in a conversation on the physical landscape of the border and its representations through time, art, and architecture. The volume is divided into two linked sections—one on border histories of built environments and the second on border art histories. Each section begins with a “conversation” essay—co-authored by two leading interdisciplinary scholars in the relevant fields—that weaves together the book’s thematic questions with the ideas and essays to follow. Border Spaces is prompted by art and grounded in an academy ready to consider the connections between art, land, and people in a binational region. Contributors Maribel Alvarez Geraldo Luján Cadava Amelia Malagamba-Ansótegui Mary E. Mendoza Sarah J. Moore Katherine G. Morrissey Margaret Regan Rebecca M. Schreiber Ila N. Sheren Samuel Truett John-Michael H. Warner
Publisher: University of Arizona Press
ISBN: 0816538212
Category : History
Languages : ar
Pages : 249
Book Description
The built environment along the U.S.-Mexico border has long been a hotbed of political and creative action. In this volume, the historically tense region and visually provocative margin—the southwestern United States and northern Mexico—take center stage. From the borderlands perspective, the symbolic importance and visual impact of border spaces resonate deeply. In Border Spaces, Katherine G. Morrissey, John-Michael H. Warner, and other essayists build on the insights of border dwellers, or fronterizos, and draw on two interrelated fields—border art history and border studies. The editors engage in a conversation on the physical landscape of the border and its representations through time, art, and architecture. The volume is divided into two linked sections—one on border histories of built environments and the second on border art histories. Each section begins with a “conversation” essay—co-authored by two leading interdisciplinary scholars in the relevant fields—that weaves together the book’s thematic questions with the ideas and essays to follow. Border Spaces is prompted by art and grounded in an academy ready to consider the connections between art, land, and people in a binational region. Contributors Maribel Alvarez Geraldo Luján Cadava Amelia Malagamba-Ansótegui Mary E. Mendoza Sarah J. Moore Katherine G. Morrissey Margaret Regan Rebecca M. Schreiber Ila N. Sheren Samuel Truett John-Michael H. Warner
Homotopy Invariant Algebraic Structures on Topological Spaces
Author: J. M. Boardman
Publisher: Springer
ISBN: 3540377999
Category : Mathematics
Languages : en
Pages : 268
Book Description
Publisher: Springer
ISBN: 3540377999
Category : Mathematics
Languages : en
Pages : 268
Book Description
Some Applications of Topological K-Theory
Author:
Publisher: Elsevier
ISBN: 0080871569
Category : Mathematics
Languages : en
Pages : 329
Book Description
Some Applications of Topological K-Theory
Publisher: Elsevier
ISBN: 0080871569
Category : Mathematics
Languages : en
Pages : 329
Book Description
Some Applications of Topological K-Theory
Proper Group Actions and the Baum-Connes Conjecture
Author: Guido Mislin
Publisher: Birkhäuser
ISBN: 3034880898
Category : Mathematics
Languages : en
Pages : 138
Book Description
A concise introduction to the techniques used to prove the Baum-Connes conjecture. The Baum-Connes conjecture predicts that the K-homology of the reduced C^*-algebra of a group can be computed as the equivariant K-homology of the classifying space for proper actions. The approach is expository, but it contains proofs of many basic results on topological K-homology and the K-theory of C^*-algebras. It features a detailed introduction to Bredon homology for infinite groups, with applications to K-homology. It also contains a detailed discussion of naturality questions concerning the assembly map, a topic not well documented in the literature. The book is aimed at advanced graduate students and researchers in the area, leading to current research problems.
Publisher: Birkhäuser
ISBN: 3034880898
Category : Mathematics
Languages : en
Pages : 138
Book Description
A concise introduction to the techniques used to prove the Baum-Connes conjecture. The Baum-Connes conjecture predicts that the K-homology of the reduced C^*-algebra of a group can be computed as the equivariant K-homology of the classifying space for proper actions. The approach is expository, but it contains proofs of many basic results on topological K-homology and the K-theory of C^*-algebras. It features a detailed introduction to Bredon homology for infinite groups, with applications to K-homology. It also contains a detailed discussion of naturality questions concerning the assembly map, a topic not well documented in the literature. The book is aimed at advanced graduate students and researchers in the area, leading to current research problems.
More Concise Algebraic Topology
Author: J. P. May
Publisher: University of Chicago Press
ISBN: 0226511782
Category : Mathematics
Languages : en
Pages : 544
Book Description
With firm foundations dating only from the 1950s, algebraic topology is a relatively young area of mathematics. There are very few textbooks that treat fundamental topics beyond a first course, and many topics now essential to the field are not treated in any textbook. J. Peter May’s A Concise Course in Algebraic Topology addresses the standard first course material, such as fundamental groups, covering spaces, the basics of homotopy theory, and homology and cohomology. In this sequel, May and his coauthor, Kathleen Ponto, cover topics that are essential for algebraic topologists and others interested in algebraic topology, but that are not treated in standard texts. They focus on the localization and completion of topological spaces, model categories, and Hopf algebras. The first half of the book sets out the basic theory of localization and completion of nilpotent spaces, using the most elementary treatment the authors know of. It makes no use of simplicial techniques or model categories, and it provides full details of other necessary preliminaries. With these topics as motivation, most of the second half of the book sets out the theory of model categories, which is the central organizing framework for homotopical algebra in general. Examples from topology and homological algebra are treated in parallel. A short last part develops the basic theory of bialgebras and Hopf algebras.
Publisher: University of Chicago Press
ISBN: 0226511782
Category : Mathematics
Languages : en
Pages : 544
Book Description
With firm foundations dating only from the 1950s, algebraic topology is a relatively young area of mathematics. There are very few textbooks that treat fundamental topics beyond a first course, and many topics now essential to the field are not treated in any textbook. J. Peter May’s A Concise Course in Algebraic Topology addresses the standard first course material, such as fundamental groups, covering spaces, the basics of homotopy theory, and homology and cohomology. In this sequel, May and his coauthor, Kathleen Ponto, cover topics that are essential for algebraic topologists and others interested in algebraic topology, but that are not treated in standard texts. They focus on the localization and completion of topological spaces, model categories, and Hopf algebras. The first half of the book sets out the basic theory of localization and completion of nilpotent spaces, using the most elementary treatment the authors know of. It makes no use of simplicial techniques or model categories, and it provides full details of other necessary preliminaries. With these topics as motivation, most of the second half of the book sets out the theory of model categories, which is the central organizing framework for homotopical algebra in general. Examples from topology and homological algebra are treated in parallel. A short last part develops the basic theory of bialgebras and Hopf algebras.