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SPIRES-BOOKS: FIND KEYWORD HOMOLOGICAL ALGEBRA *END*INIT* use /tmp/qspiwww.webspi1/30247.9 QRY 131.225.70.96 . find keyword homological algebra ( in books using www
 Call number: 9783319461434:ONLINE Show nearby items on shelf Title: The Universal Coefficient Theorem and Quantum Field Theory A Topological Guide for the Duality Seeker Author(s): Andrei-Tudor Patrascu Date: 2017 Size: 1 online resource (XVI, 270 p. 6 illus., 1 illus. in color p.) Contents: Introduction -- Elements of General Topology -- Algebraic Topology -- Homological Algebra -- Connections: Topology and Analysis -- The Atyiah Singer Index Theorem -- Universal Coeﬃcient Theorems -- BV and BRST Quantization, Quantum Observables and Symmetry -- Universal Coeﬃcient Theorem and Quantum Field Theory -- The Universal Coeﬃcient Theorem and Black Holes -- From Grothendieck’s Schemes to QCD -- Conclusions. ISBN: 9783319461434 Series: eBooks Series: Springer eBooks Series: Springer 2017 package Keywords: Physics , Mathematical physics , Algebraic topology , Quantum field theory , String theory , Elementary particles (Physics) , Physics , Quantum Field Theories, String Theory , Algebraic Topology , Mathematical Applications in the Physical Sciences , Elementary Particles, Quantum Field Theory Availability: Click here to see Library holdings or inquire at Circ Desk (x3401) Click to reserve this book Be sure to include your ID please. More info: Amazon.com More info: Barnes and Noble Full Text: Click here Location: ONLINE

 Call number: SPRINGER-2012-9783642227165:ONLINE Show nearby items on shelf Title: The Schringer-Virasoro Algebra [electronic resource] Author(s): Jie Unterberger Claude Roger Date: 2012 Publisher: Springer Berlin Heidelberg Size: 1 online resource Note: Monograph Note: Springer 2012 Physics and Astronomy eBook collection Note: Springer e-book platform ISBN: 9783642227165 Series: Texts and Monographs in Physics Series: e-books Keywords: Mathematical Methods in Physics , Topological Groups, Lie Groups , Mathematical Physics , Category Theory, Homological Algebra , Statistical Physics, Dynamical Systems and Complexity Availability: Click here to see Library holdings or inquire at Circ Desk (x3401) Click to reserve this book Be sure to include your ID please. More info: Amazon.com More info: Barnes and Noble Full Text: Click here Location: ONLINE

 Call number: SPRINGER-2007-9783764375249:ONLINE Show nearby items on shelf Title: Tool and Object [electronic resource] : A History and Philosophy of Category Theory Author(s): Ralf Krmer Date: 2007 Publisher: Basel : Birkhuser Basel Size: 1 online resource Note: Springer e-book platform Note: Springer 2013 e-book collections Note: The book is first of all a history of category theory from the beginnings to A. Grothendieck and F.W. Lawvere. Category theory was an important conceptual tool in 20th century mathematics whose influence on some mathematicalsubdisciplines (above all algebraic topology and algebraic geometry) is analyzed. Category theory also has an important philosophical aspect: on the one hand its set-theoretical foundation is less obvious than for other mathematicaltheories, and on the other hand it unifies concep tually a large part of modern mathematics and may therefore be considered as somewhat fundamental itself. The role of this philosophical aspect in the historical development is thesecond focus of the book. Relying on the historical analysis, the author de velops a philosophical interpretation of the theory of his own, intending to get closer to how mathematicians conceive the significance of their activity thantraditional schools of philosophy of science. The book is the first monography exclusively devote d to the history of category theory. To a substantial extent it considers aspects never studied before. The author uses (and justifies theuse of) a methodology combining historical and philosophical approaches. The analysis is not confined to general rema rks, but goes into considerable mathematical detail. Hence, the book provides an exceptionally thorough case studycompared with other works on history or philosophy of mathematics. The philosophical position developed here (inspired by Peircean pragmatism and Wittgenstein) is an interesting alternative to traditional approaches in philosophy ofmathematics like platonism, formalism and intuitionism Note: Springer eBooks Contents: Prelude: Poincar, Wittgenstein, Peirce, and the use of concepts Category theory in Algebraic Topology Category theory in Homological Algebra Category theory in Algebraic Geometry From tool to object: full fledged category theory Categories as sets: problems and solutions Categorial foundations Pragmatism and category theory ISBN: 9783764375249 Series: e-books Series: SpringerLink (Online service) Series: Science Networks. Historical Studies : v32 Series: Mathematics and Statistics (Springer-11649) Keywords: Mathematics , Algebra , Mathematics_$xHistory Availability: Click here to see Library holdings or inquire at Circ Desk (x3401) Click to reserve this book Be sure to include your ID please. More info: Amazon.com More info: Barnes and Noble Full Text: Click here Location: ONLINE  Call number: SPRINGER-2007-9780817646134:ONLINE Show nearby items on shelf Title: Advanced Algebra [electronic resource] : Along with a companion volume Basic Algebra Author(s): Anthony W Knapp Date: 2007 Publisher: Boston, MA : Birkhuser Boston Size: 1 online resource Note: Springer e-book platform Note: Springer 2013 e-book collections Note: Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a globalview of algebra and its r ole in mathematics as a whole. Key topics and features of Advanced Algebra: *Topics build upon the linear algebra, group theory, factorization of ideals, structure of fields, Galois theory, and elementarytheory of modules as developed in Basic Algebra *Ch apters treat various topics in commutative and noncommutative algebra, providing introductions to the theory of associative algebras, homological algebra, algebraic number theory, andalgebraic geometry *Sections in two chapters relate the theory to the su bject of Grbner bases, the foundation for handling systems of polynomial equations in computer applications *Text emphasizes connections between algebra andother branches of mathematics, particularly topology and complex analysis *Book carries on two prom inent themes recurring in Basic Algebra: the analogy between integers and polynomials in one variable over a field, and the relationshipbetween number theory and geometry *Many examples and hundreds of problems are included, along with hints or complete s olutions for most of the problems *The exposition proceeds from the particular to the general, often providingexamples well before a theory that incorporates them it includes blocks of problems that illuminate aspects of the text and introduce additional topics Advanced Algebra presents its subject matter in a forward-looking way that takesinto account the historical development of the subject. It is suitable as a text for the more advanced parts of a two-semester first-year graduate sequence in algebra. It requires of the reader only a familiarity with the topicsdeveloped in Basic Algebra Note: Springer eBooks Contents: Transition to Modern Number Theory WedderburnArtin Ring Theory Brauer Group Homological Algebra Three Theorems in Algebraic Number Theory Reinterpretation with Adeles and Ideles Infinite Field Extensions Background for Algebraic Geometry The Number Theory of Algebraic Curves Methods of Algebraic Geometry ISBN: 9780817646134 Series: e-books Series: SpringerLink (Online service) Series: Cornerstones Series: Mathematics and Statistics (Springer-11649) Keywords: Mathematics , Algebra , Geometry, algebraic , Field theory (Physics) , Number theory Availability: Click here to see Library holdings or inquire at Circ Desk (x3401) Click to reserve this book Be sure to include your ID please. More info: Amazon.com More info: Barnes and Noble Full Text: Click here Location: ONLINE  Call number: SPRINGER-2007-9780817645748:ONLINE Show nearby items on shelf Title: The Grothendieck Festschrift [electronic resource] A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck Author(s): Pierre Cartier Luc Illusie Nicholas M Katz Grard Laumon Yuri I Manin Kenneth A Ribet Date: 2007 Publisher: Boston, MA : Birkhuser Boston Size: 1 online resource Note: Springer e-book platform Note: Springer 2013 e-book collections Note: The many diverse articles presented in these three volumes, collected on the occasion of Alexander Grothendiecks sixtieth birthday and originally published in 1990, were offered as a tribute to one of the worlds greatestliving mathematicians. Grothen dieck changed the very way we think about many branches of mathematics. Many of his ideas, revolutionary when introduced, now seem so natural as to have been inevitable. Indeed, it is difficult to fullygrasp the influence his vast contributions to modern mathematics have subsequently had on new generations of mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundationalto the subject. Topics addressed by these top-notch contributors match th e breadth of Grothendiecks own interests, including: functional analysis, algebraic geometry, algebraic topology, number theory, representation theory,K-theory, category theory, and homological algebra. CONTRIBUTORS to Volume I: A. Altman M. Artin V. Bala ji A. Beauville A.A. Beilinson P. Berthelot J.-M. Bismut S. Bloch L. Breen J.-L. Brylinski J. Dieudonn H. Gillet A.B.Goncharov K. Kato S. Kleiman W. Messing V.V. Schechtman C.S. Seshadri C. Soul J. Tate M. van den Bergh and A.N. Varchenko Note: Springer eBooks Contents: Foreword Bibliographie d'Alexander Grothendieck Dieudonne Altman and Kleiman Artin, Tate, and van den Bergh Balaji and Seshadri Beauville Beilinson, Goncharov, Schechtman, and Varchenko Berthelot and Messing Bismut, Gillet, and Soule Bloch and Kato Breen Brylinski ISBN: 9780817645748 Series: e-books Series: SpringerLink (Online service) Series: Modern Birkhuser Classics Series: Mathematics and Statistics (Springer-11649) Keywords: Mathematics , Geometry, algebraic , Algebra , K-theory , Functional analysis , Number theory , Algebraic topology Availability: Click here to see Library holdings or inquire at Circ Desk (x3401) Click to reserve this book Be sure to include your ID please. More info: Amazon.com More info: Barnes and Noble Full Text: Click here Location: ONLINE  Call number: SPRINGER-2007-9780387488998:ONLINE Show nearby items on shelf Title: Exercises in Modules and Rings [electronic resource] Author(s): T. Y Lam Date: 2007 Publisher: New York, NY : Springer New York Size: 1 online resource Note: Springer e-book platform Note: Springer 2013 e-book collections Note: For the Backcover This Problem Book offers a compendium of 639 exercises of varying degrees of difficulty in the subject of modules and rings at the graduate level. The material covered includes projective, injective, and flatmodules, homological and uniform dimensions, noncommutative localizations and Goldies theorems, maximal rings of quotients, Frobenius and quasi-Frobenius rings, as well as Moritas classical theory of category dualities andequivalences. Each of the nineteen sections begins with a n introduction giving the general background and the theoretical basis for the problems that follow. All exercises are solved in full detail many are accompanied by pertinenthistorical and bibliographical information, or a commentary on possible improveme nts, generalizations, and latent connections to other problems. This volume is designed as a problem book for the authors Lectures on Modules and Rings(Springer GTM, Vol. 189), from which the majority of the exercises were taken. Some forty new exercises have been added to further broaden the coverage. As a result, this book is ideal both as a companion volume to Lectures, and as asource for independent study. For students and researchers alike, this book will also serve as a handy reference for a copious amount of information in algebra and ring theory otherwise unavailable from textbooks. An outgrowth of theauthors lecture courses and seminars over the years at the University of California at Berkeley, this book and its predecessor Exercises in Classica l Ring Theory (Springer, 2003) offer to the mathematics community the fullest andmost comprehensive reference to date for problem solving in the theory of modules and rings Note: Springer eBooks Contents: Free Modules Projective and Injective Modules Flat Modules and Homological Dimensions More Theory of Modules Rings of Quotients More Rings of Quotients robenius and Quasi Frobenius Rings Matrix Rings, Categories of Modules, and Morita Theory ISBN: 9780387488998 Series: e-books Series: SpringerLink (Online service) Series: Problem Books in Mathematics, 0941-3502 Series: Mathematics and Statistics (Springer-11649) Keywords: Mathematics , Algebra Availability: Click here to see Library holdings or inquire at Circ Desk (x3401) Click to reserve this book Be sure to include your ID please. More info: Amazon.com More info: Barnes and Noble Full Text: Click here Location: ONLINE  Call number: SPRINGER-2006-9783540337911:ONLINE Show nearby items on shelf Title: Mathematical Survey Lectures 19432004 [electronic resource] Author(s): Beno Eckmann Date: 2006 Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg Size: 1 online resource Note: Springer e-book platform Note: Springer 2013 e-book collections Note: This collection traces the career of Beno Eckmann, whose work ranges across a broad spectrum of mathematical concepts from topology and differential geometry through homological algebra to group theory. One of our most influentialliving mathematician s, Eckmann has been associated for nearly his entire professional life with the Swiss Federal Institute of Technology Zurich (ETH), as student, lecturer, professor, and professor emeritus. The lectures offer afascinating account of advances in pure mathem atics from 1943 to 2004, as new topics and methods are introduced, and gradually become routine. The penultimate lecture is a personal-historical overview of algebraic topology, deliveredin connection with the 40-year jubilee of the Institute for Mathemat ical Research (FIM), which Eckmann founded at ETH in 1964. In the final article, Eckmann looks beyond pure mathematics to consider the application in concrete fieldsof intellectual enterprise Note: Springer eBooks Contents: Lide de dimension (1943) Topology and Algebra (1943) Complex analytic manifolds (1950) Homotopie et dualit (1956) Groupes dhomotopie et dualit (1958) Homotopy and Cohomology Theory (1962) Simple Homotopy Type and Categories of Fractions (1970) Some Recent Developments in the Homology Theory of Groups (1980) Poincar Duality Groups of Dimension 2 are Surface Groups (1986) Continuous Solutions of Linear Equations (1991) Mathematics: Questions and Answers (1994) Hurwitz Radon Matrices Revisited (1994) Birth of Fibre Spaces, and Homotopy (1996) 4 ISBN: 9783540337911 Series: e-books Series: SpringerLink (Online service) Series: Mathematics and Statistics (Springer-11649) Keywords: Mathematics , Algebra , Group theory , Global differential geometry , Algebraic topology Availability: Click here to see Library holdings or inquire at Circ Desk (x3401) Click to reserve this book Be sure to include your ID please. More info: Amazon.com More info: Barnes and Noble Full Text: Click here Location: ONLINE  Call number: SPRINGER-2006-9783540279914:ONLINE Show nearby items on shelf Title: Idempotent Matrices over Complex Group Algebras [electronic resource] Author(s): Ioannis Emmanouil Date: 2006 Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg Size: 1 online resource Note: Springer e-book platform Note: Springer 2013 e-book collections Note: The theory of idempotent matrices with entries in complex group algebras has recently experienced a revival, in view of its close relationship with deep geometric problems and conjectures. The relevant questions studied in thisbook for general groups are motivated by specific examples. A variety of techniques is employed from commutative algebra, homological algebra and functional analysis. The book can serve as an introduction to this lively research area.The pace is suitable for independent study a nd the level of the presentation not very demanding. The exercises at the end of each chapter form an essential part of the book Note: Springer eBooks Contents: Introduction Motivating Examples Reduction to Positive Characteristic A Homological Approach Completions of CG Appendices: Tools from Commutative Algebra Discrete Ring valued Integrals Frobenius' Density Theorem Homological Techniques Comparison of Projections ISBN: 9783540279914 Series: e-books Series: SpringerLink (Online service) Series: Universitext Series: Mathematics and Statistics (Springer-11649) Keywords: Mathematics , Algebra , Group theory , K-theory , Functional analysis Availability: Click here to see Library holdings or inquire at Circ Desk (x3401) Click to reserve this book Be sure to include your ID please. More info: Amazon.com More info: Barnes and Noble Full Text: Click here Location: ONLINE  Call number: SPRINGER-2006-9783540279501:ONLINE Show nearby items on shelf Title: Categories and Sheaves [electronic resource] Author(s): Masaki Kashiwara Pierre Schapira Date: 2006 Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg Size: 1 online resource Note: Springer e-book platform Note: Springer 2013 e-book collections Note: Categories and sheaves, which emerged in the middle of the last century as an enrichment for the concepts of sets and functions, appear almost everywhere in mathematics nowadays. This book covers categories, homological algebraand sheaves in a system atic and exhaustive manner starting from scratch, and continues with full proofs to an exposition of the most recent results in the literature, and sometimes beyond. The authors present the general theory ofcategories and functors, emphasising inductive a nd projective limits, tensor categories, representable functors, ind-objects and localization. Then they study homological algebra including additive, abelian, triangulated categories andalso unbounded derived categories using transfinite induction and ac cessible objects. Finally, sheaf theory as well as twisted sheaves and stacks appear in the framework of Grothendieck topologies Note: Springer eBooks Contents: The Language of Categories Limits Filtrant Limits Tensor Categories Generators and Representability Indization of Categories Localization Additive and Abelian Categories ? accessible Objects and F injective Objects Triangulated Categories Complexes in Additive Categories Complexes in Abelian Categories Derived Categories Unbounded Derived Categories Indization and Derivation of Abelian Categories Grothendieck Topologies Sheaves on Grothendieck Topologies Abelian Sheaves Stacks and Twisted Sheaves ISBN: 9783540279501 Series: e-books Series: SpringerLink (Online service) Series: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 0072-7830 : v332 Series: Mathematics and Statistics (Springer-11649) Keywords: Mathematics , Algebra , Cell aggregation Mathematics Availability: Click here to see Library holdings or inquire at Circ Desk (x3401) Click to reserve this book Be sure to include your ID please. More info: Amazon.com More info: Barnes and Noble Full Text: Click here Location: ONLINE  Call number: SPRINGER-2005-9783540263708:ONLINE Show nearby items on shelf Title: Ideals and Reality [electronic resource] : Projective Modules and Number of Generators of Ideals Author(s): Friedrich Ischebeck Ravi A Rao Date: 2005 Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg Size: 1 online resource Note: Springer e-book platform Note: Springer 2013 e-book collections Note: This monograph tells the story of a philosophy of J-P. Serre and his vision of relating that philosophy to problems in affine algebraic geometry. It gives a lucid presentation of the Quillen-Suslin theorem settling Serre'sconjecture. The central topi c of the book is the question of whether a curve in$n$-space is as a set an intersection of$(n-1)\$ hypersurfaces, depicted by the central theorems of Ferrand, Szpiro, Cowsik-Nori, Mohan Kumar, Boratnski.The book gives a comprehensive introduction to bas ic commutative algebra, together with the related methods from homological algebra, which will enable students who know only the fundamentals of algebra to enjoy the power of usingthese tools. At the same time, it also serves as a valuable reference for t he research specialist and as potential course material, because the authors present, for the first time in book form, an approach here that is an intermix ofclassical algebraic K-theory and complete intersection techniques, making connections with the fa mous results of Forster-Swan and Eisenbud-Evans. A study of projective modules and their connections with topological vector bundles in aform due to Vaserstein is included. Important subsidiary results appear in the copious exercises. Even this advanced m aterial, presented comprehensively, keeps in mind the young student as potential reader besides the specialists ofthe subject Note: Springer eBooks ISBN: 9783540263708 Series: e-books Series: SpringerLink (Online service) Series: Springer Monographs in Mathematics, 1439-7382 Series: Mathematics and Statistics (Springer-11649) Keywords: Mathematics , Algebra Availability: Click here to see Library holdings or inquire at Circ Desk (x3401) Click to reserve this book Be sure to include your ID please. More info: Amazon.com More info: Barnes and Noble Full Text: Click here Location: ONLINE