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An Invitation to General Algebra and Universal Constructions
Rich in examples and intuitive discussions, this book presents General Algebra using the unifying viewpoint of categories and functors. Starting with a survey, in non-category-theoretic terms, of many familiar and not-so-familiar constructions in algebra (plus two from topology for perspective), the reader is guided to an understanding and appreciation of the general concepts and tools unifying…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-11478-1
- Collation
- X, 572
- Series Title
- Universitext
- Call Number
- 512 BER i
Dessins d'Enfants on Riemann Surfaces
This volume provides an introduction to dessins d'enfants and embeddings of bipartite graphs in compact Riemann surfaces. The first part of the book presents basic material, guiding the reader through the current field of research. A key point of the second part is the interplay between the automorphism groups of dessins and their Riemann surfaces, and the action of the absolute Galois group on…
- Edition
- -
- ISBN/ISSN
- 9783319247113
- Collation
- -
- Series Title
- -
- Call Number
- 516.35
Optimization of Polynomials in Non-Commuting Variables
This book presents recent results on positivity and optimization of polynomials in non-commuting variables. Researchers in non-commutative algebraic geometry, control theory, system engineering, optimization, quantum physics and information science will find the unified notation and mixture of algebraic geometry and mathematical programming useful. Theoretical results are matched with algorithm…
- Edition
- -
- ISBN/ISSN
- 978-3-319-33338-0
- Collation
- -
- Series Title
- -
- Call Number
- -
What is the Genus
Exploring several of the evolutionary branches of the mathematical notion of genus, this book traces the idea from its prehistory in problems of integration, through algebraic curves and their associated Riemann surfaces, into algebraic surfaces, and finally into higher dimensions. Its importance in analysis, algebraic geometry, number theory and topology is emphasized through many theorems. Al…
- Edition
- -
- ISBN/ISSN
- 978-3-319-42312-8
- Collation
- XVII, 184
- Series Title
- -
- Call Number
- -
WALCOM: Algorithms and Computation 9th International Workshop, WALCOM 2015, …
This book constitutes the thoroughly refereed conference proceedings of the 9th International Workshop on Algorithms and Computation, WALCOM 2015, held in Dhaka, Bangladesh, in February 2015. The 26 revised full papers presented together with 3 invited talks were carefully reviewed and selected from 85 submissions. The papers are organized in topical sections on approximation algorithms, data s…
- Edition
- -
- ISBN/ISSN
- 978-3-319-15612-5
- Collation
- 110 b/w illustrations
- Series Title
- -
- Call Number
- -
Minimal Free Resolutions over Complete Intersections
This book introduces a theory of higher matrix factorizations for regular sequences and uses it to describe the minimal free resolutions of high syzygy modules over complete intersections. Such resolutions have attracted attention ever since the elegant construction of the minimal free resolution of the residue field by Tate in 1957. The theory extends the theory of matrix factorizations of …
- Edition
- 1
- ISBN/ISSN
- 978-3-319-26436-3
- Collation
- X, 107
- Series Title
- Lecture Notes in Mathematics
- Call Number
- -
Logic, Language, Information, and Computation: 22nd International Workshop, W…
Edited in collaboration with FoLLI, the Association of Logic, Language and Information this book constitutes the refereed proceedings of the 22nd Workshop on Logic, Language, Information and Computation, WoLLIC 2015, held in the campus of Indiana University, Bloomington, IN, USA in July 2015. The 14 contributed papers, presented together with 8 invited lectures and 4 tutorials, were carefully …
- Edition
- -
- ISBN/ISSN
- 978-3-662-47709-0
- Collation
- -
- Series Title
- -
- Call Number
- -
Local Homotopy Theory
This monograph on the homotopy theory of topologized diagrams of spaces and spectra gives an expert account of a subject at the foundation of motivic homotopy theory and the theory of topological modular forms in stable homotopy theory. Beginning with an introduction to the homotopy theory of simplicial sets and topos theory, the book covers core topics such as the unstable homotopy theory of …
- Edition
- -
- ISBN/ISSN
- 978-1-4939-2300-7
- Collation
- -
- Series Title
- -
- Call Number
- -
Extended Abstracts Fall 2013 Geometrical Analysis; Type Theory, Homotopy The…
The two parts of the present volume contain extended conference abstracts corresponding to selected talks given by participants at the "Conference on Geometric Analysis" (thirteen abstracts) and at the "Conference on Type Theory, Homotopy Theory and Univalent Foundations" (seven abstracts), both held at the Centre de Recerca Matemàtica (CRM) in Barcelona from July 1st to 5th, 2013, and from Se…
- Edition
- -
- ISBN/ISSN
- 978-3-319-21284-5
- Collation
- VI, 110
- Series Title
- -
- Call Number
- -
Lie Theory and Its Applications in Physics: Varna, Bulgaria, June 2015
This volume presents modern trends in the area of symmetries and their applications based on contributions from the workshop "Lie Theory and Its Applications in Physics", held near Varna, Bulgaria, in June 2015. Traditionally, Lie theory is a tool to build mathematical models for physical systems. Recently, the trend has been towards geometrization of the mathematical description of physical s…
- Edition
- -
- ISBN/ISSN
- 978-981-10-2636-2
- Collation
- -
- Series Title
- -
- Call Number
- -
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