The Influence Of Solomon Lefschetz In Geometry And Topology

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The Influence of Solomon Lefschetz in Geometry and Topology

Author : Ernesto Lupercio
Publisher : American Mathematical Soc.
ISBN 13 : 0821894943
Total Pages : 240 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Influence of Solomon Lefschetz in Geometry and Topology by : Ernesto Lupercio

Download or read book The Influence of Solomon Lefschetz in Geometry and Topology written by Ernesto Lupercio and published by American Mathematical Soc.. This book was released on 2014-08-05 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The influence of Solomon Lefschetz (1884-1972) in geometry and topology 40 years after his death has been very profound. Lefschetz's influence in Mexican mathematics has been even greater. In this volume, celebrating 50 years of mathematics at Cinvestav-México, many of the fields of geometry and topology are represented by some of the leaders of their respective fields. This volume opens with Michael Atiyah reminiscing about his encounters with Lefschetz and México. Topics covered in this volume include symplectic flexibility, Chern-Simons theory and the theory of classical theta functions, toric topology, the Beilinson conjecture for finite-dimensional associative algebras, partial monoids and Dold-Thom functors, the weak b-principle, orbit configuration spaces, equivariant extensions of differential forms for noncompact Lie groups, dynamical systems and categories, and the Nahm pole boundary condition.

Topology

Author : Solomon Lefschetz
Publisher : American Mathematical Soc.
ISBN 13 : 0821846035
Total Pages : 428 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Topology by : Solomon Lefschetz

Download or read book Topology written by Solomon Lefschetz and published by American Mathematical Soc.. This book was released on 1930-12-31 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lefschetz's Topology was written in the period in between the beginning of topology, by Poincare, and the establishment of algebraic topology as a well-formed subject, separate from point-set or geometric topology. At this time, Lefschetz had already proved his first fixed-point theorems. In some sense, the present book is a description of the broad subject of topology into which Lefschetz's theory of fixed points fits. Lefschetz takes the opportunity to describe some of the important applications of his theory, particularly in algebraic geometry, to problems such as counting intersections of algebraic varieties. He also gives applications to vector distributions, complex spaces, and Kronecker's characteristic theory.

Algebraic Topology

Author : Solomon Lefschetz
Publisher :
ISBN 13 : 9781258530853
Total Pages : 398 pages
Book Rating : 4.5/5 (38 download)

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Book Synopsis Algebraic Topology by : Solomon Lefschetz

Download or read book Algebraic Topology written by Solomon Lefschetz and published by . This book was released on 2013-01 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic Topology

Author : Solomon Lefschetz
Publisher : American Mathematical Soc.
ISBN 13 :
Total Pages : 408 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Algebraic Topology by : Solomon Lefschetz

Download or read book Algebraic Topology written by Solomon Lefschetz and published by American Mathematical Soc.. This book was released on 1942-07-30 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topology, by Solomon Lefschetz

Author : Solomon Lefschetz
Publisher :
ISBN 13 :
Total Pages : 410 pages
Book Rating : 4.:/5 (639 download)

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Book Synopsis Topology, by Solomon Lefschetz by : Solomon Lefschetz

Download or read book Topology, by Solomon Lefschetz written by Solomon Lefschetz and published by . This book was released on 1930 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topics in Topology. (AM-10), Volume 10

Author : Solomon Lefschetz
Publisher : Princeton University Press
ISBN 13 : 1400882338
Total Pages : 137 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Topics in Topology. (AM-10), Volume 10 by : Solomon Lefschetz

Download or read book Topics in Topology. (AM-10), Volume 10 written by Solomon Lefschetz and published by Princeton University Press. This book was released on 2016-03-02 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solomon Lefschetz pioneered the field of topology--the study of the properties of manysided figures and their ability to deform, twist, and stretch without changing their shape. According to Lefschetz, "If it's just turning the crank, it's algebra, but if it's got an idea in it, it's topology." The very word topology comes from the title of an earlier Lefschetz monograph published in 1920. In Topics in Topology Lefschetz developed a more in-depth introduction to the field, providing authoritative explanations of what would today be considered the basic tools of algebraic topology. Lefschetz moved to the United States from France in 1905 at the age of twenty-one to find employment opportunities not available to him as a Jew in France. He worked at Westinghouse Electric Company in Pittsburgh and there suffered a horrible laboratory accident, losing both hands and forearms. He continued to work for Westinghouse, teaching mathematics, and went on to earn a Ph.D. and to pursue an academic career in mathematics. When he joined the mathematics faculty at Princeton University, he became one of its first Jewish faculty members in any discipline. He was immensely popular, and his memory continues to elicit admiring anecdotes. Editor of Princeton University Press's Annals of Mathematics from 1928 to 1958, Lefschetz built it into a world-class scholarly journal. He published another book, Lectures on Differential Equations, with Princeton in 1946.

Introduction to Topology

Author : Solomon Lefschetz
Publisher : Princeton University Press
ISBN 13 : 1400879949
Total Pages : 227 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Introduction to Topology by : Solomon Lefschetz

Download or read book Introduction to Topology written by Solomon Lefschetz and published by Princeton University Press. This book was released on 2015-12-08 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, which may be used as a self-contained text for a beginning course, Professor Lefschetz aims to give the reader a concrete working knowledge of the central concepts of modern combinatorial topology: complexes, homology groups, mappings in spheres, homotopy, transformations and their fixed points, manifolds and duality theorems. Each chapter ends with a group of problems. Originally published in 1949. 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.

Algebraic Geometry and Topology

Author : Ralph Hartzler Fox
Publisher : Princeton University Press
ISBN 13 : 1400879914
Total Pages : 410 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Algebraic Geometry and Topology by : Ralph Hartzler Fox

Download or read book Algebraic Geometry and Topology written by Ralph Hartzler Fox and published by Princeton University Press. This book was released on 2015-12-08 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the developments of modern algebraic geometry and topology stem from the ideas of S. Lefschetz. These are featured in this volume of contemporary research papers contributed by mathematical colleagues to celebrate his seventieth birthday. Originally published in 1957. 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.

Modern Geometry

Author : Vicente Muñoz
Publisher : American Mathematical Soc.
ISBN 13 : 1470440946
Total Pages : 426 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Modern Geometry by : Vicente Muñoz

Download or read book Modern Geometry written by Vicente Muñoz and published by American Mathematical Soc.. This book was released on 2018-09-05 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a collection of survey articles of exciting new developments in geometry, written in tribute to Simon Donaldson to celebrate his 60th birthday. Reflecting the wide range of Donaldson's interests and influence, the papers range from algebraic geometry and topology through symplectic geometry and geometric analysis to mathematical physics. Their expository nature means the book acts as an invitation to the various topics described, while also giving a sense of the links between these different areas and the unity of modern geometry.

Stacks and Categories in Geometry, Topology, and Algebra

Author : Tony Pantev
Publisher : American Mathematical Soc.
ISBN 13 : 1470415577
Total Pages : 334 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Stacks and Categories in Geometry, Topology, and Algebra by : Tony Pantev

Download or read book Stacks and Categories in Geometry, Topology, and Algebra written by Tony Pantev and published by American Mathematical Soc.. This book was released on 2015-06-26 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the CATS4 Conference on Higher Categorical Structures and their Interactions with Algebraic Geometry, Algebraic Topology and Algebra, held from July 2-7, 2012, at CIRM in Luminy, France. Over the past several years, the CATS conference series has brought together top level researchers from around the world interested in relative and higher category theory and its applications to classical mathematical domains. Included in this volume is a collection of articles covering the applications of categories and stacks to geometry, topology and algebra. Techniques such as localization, model categories, simplicial objects, sheaves of categories, mapping stacks, dg structures, hereditary categories, and derived stacks, are applied to give new insight on cluster algebra, Lagrangians, trace theories, loop spaces, structured surfaces, stability, ind-coherent complexes and 1-affineness showing up in geometric Langlands, branching out to many related topics along the way.

The Abel Prize 2013-2017

Author : Helge Holden
Publisher : Springer
ISBN 13 : 3319990284
Total Pages : 774 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis The Abel Prize 2013-2017 by : Helge Holden

Download or read book The Abel Prize 2013-2017 written by Helge Holden and published by Springer. This book was released on 2019-02-23 with total page 774 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the winners of the Abel Prize in mathematics for the period 2013–17: Pierre Deligne (2013); Yakov G. Sinai (2014); John Nash Jr. and Louis Nirenberg (2015); Sir Andrew Wiles (2016); and Yves Meyer (2017). The profiles feature autobiographical information as well as a scholarly description of each mathematician’s work. In addition, each profile contains a Curriculum Vitae, a complete bibliography, and the full citation from the prize committee. The book also includes photos for the period 2003–2017 showing many of the additional activities connected with the Abel Prize. As an added feature, video interviews with the Laureates as well as videos from the prize ceremony are provided at an accompanying website (http://extras.springer.com/). This book follows on The Abel Prize: 2003-2007. The First Five Years (Springer, 2010) and The Abel Prize 2008-2012 (Springer 2014), which profile the work of the previous Abel Prize winners.

Geometry, Groups and Dynamics

Author : C. S. Aravinda
Publisher : American Mathematical Soc.
ISBN 13 : 0821898825
Total Pages : 386 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Geometry, Groups and Dynamics by : C. S. Aravinda

Download or read book Geometry, Groups and Dynamics written by C. S. Aravinda and published by American Mathematical Soc.. This book was released on 2015-05-01 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the ICTS Program: Groups, Geometry and Dynamics, held December 3-16, 2012, at CEMS, Almora, India. The activity was an academic tribute to Ravi S. Kulkarni on his turning seventy. Articles included in this volume, both introductory and advanced surveys, represent the broad area of geometry that encompasses a large portion of group theory (finite or otherwise) and dynamics in its proximity. These areas have been influenced by Kulkarni's ideas and are closely related to his work and contribution.

Hodge Theory and Classical Algebraic Geometry

Author : Gary Kennedy
Publisher : American Mathematical Soc.
ISBN 13 : 1470409909
Total Pages : 148 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Hodge Theory and Classical Algebraic Geometry by : Gary Kennedy

Download or read book Hodge Theory and Classical Algebraic Geometry written by Gary Kennedy and published by American Mathematical Soc.. This book was released on 2015-08-27 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of a conference on Hodge Theory and Classical Algebraic Geometry, held May 13-15, 2013, at The Ohio State University, Columbus, OH. Hodge theory is a powerful tool for the study and classification of algebraic varieties. This volume surveys recent progress in Hodge theory, its generalizations, and applications. The topics range from more classical aspects of Hodge theory to modern developments in compactifications of period domains, applications of Saito's theory of mixed Hodge modules, and connections with derived category theory and non-commutative motives.

Biological Fluid Dynamics: Modeling, Computations, and Applications

Author : Anita T. Layton
Publisher : American Mathematical Soc.
ISBN 13 : 0821898507
Total Pages : 250 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Biological Fluid Dynamics: Modeling, Computations, and Applications by : Anita T. Layton

Download or read book Biological Fluid Dynamics: Modeling, Computations, and Applications written by Anita T. Layton and published by American Mathematical Soc.. This book was released on 2014-10-14 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the Proceedings of the AMS Special Session on Biological Fluid Dynamics: Modeling, Computation, and Applications, held on October 13, 2012, at Tulane University, New Orleans, Louisiana. In recent years, there has been increasing interest in the development and application of advanced computational techniques for simulating fluid motion driven by immersed flexible structures. That interest is motivated, in large part, by the multitude of applications in physiology and biology. In some biological systems, fluid motion is driven by active biological tissues, which are typically constructed of fibers that are surrounded by fluid. Not only do the fibers hold the tissues together, they also transmit forces that ultimately result in fluid motion. In other examples, the fluid may flow through conduits such as blood vessels or airways that are flexible or active. That is, those conduits may react to and affect the fluid dynamics. This volume responds to the widespread interest among mathematicians, biologists, and engineers in fluid-structure interactions problems. Included are expository and review articles in biological fluid dynamics. Applications that are considered include ciliary motion, upside-down jellyfish, biological feedback in the kidney, peristalsis and dynamic suction pumping, and platelet cohesion and adhesion.

Algorithmic Problems of Group Theory, Their Complexity, and Applications to Cryptography

Author : Delaram Kahrobaei
Publisher : American Mathematical Soc.
ISBN 13 : 0821898590
Total Pages : 136 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Algorithmic Problems of Group Theory, Their Complexity, and Applications to Cryptography by : Delaram Kahrobaei

Download or read book Algorithmic Problems of Group Theory, Their Complexity, and Applications to Cryptography written by Delaram Kahrobaei and published by American Mathematical Soc.. This book was released on 2015-02-25 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Algorithmic Problems of Group Theory and Their Complexity, held January 9-10, 2013 in San Diego, CA and the AMS Special Session on Algorithmic Problems of Group Theory and Applications to Information Security, held April 6-7, 2013 at Boston College, Chestnut Hill, MA. Over the past few years the field of group-based cryptography has attracted attention from both group theorists and cryptographers. The new techniques inspired by algorithmic problems in non-commutative group theory and their complexity have offered promising ideas for developing new cryptographic protocols. The papers in this volume cover algorithmic group theory and applications to cryptography.

Nonlinear Wave Equations

Author : Christopher W. Curtis
Publisher : American Mathematical Soc.
ISBN 13 : 1470410508
Total Pages : 226 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Nonlinear Wave Equations by : Christopher W. Curtis

Download or read book Nonlinear Wave Equations written by Christopher W. Curtis and published by American Mathematical Soc.. This book was released on 2015-03-26 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Nonlinear Waves and Integrable Systems, held on April 13-14, 2013, at the University of Colorado, Boulder, Colorado. The field of nonlinear waves is an exciting area of modern mathematical research that also plays a major role in many application areas from physics and fluids. The articles in this volume present a diverse cross section of topics from this field including work on the Inverse Scattering Transform, scattering theory, inverse problems, numerical methods for dispersive wave equations, and analytic and computational methods for free boundary problems. Significant attention to applications is also given throughout the articles with an extensive presentation on new results in the free surface problem in fluids. This volume will be useful to students and researchers interested in learning current techniques in studying nonlinear dispersive systems from both the integrable systems and computational points of view.

Function Spaces in Analysis

Author : Krzysztof Jarosz
Publisher : American Mathematical Soc.
ISBN 13 : 1470416948
Total Pages : 301 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Function Spaces in Analysis by : Krzysztof Jarosz

Download or read book Function Spaces in Analysis written by Krzysztof Jarosz and published by American Mathematical Soc.. This book was released on 2015-07-28 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Seventh Conference on Function Spaces, which was held from May 20-24, 2014 at Southern Illinois University at Edwardsville. The papers cover a broad range of topics, including spaces and algebras of analytic functions of one and of many variables (and operators on such spaces), spaces of integrable functions, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and other related subjects.