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Categorical Algebra and its Applications
Categorical algebra and its applications contain several fundamental papers on general category theory, by the top specialists in the field, and many interesting papers on the applications of category … mehr »
geschrieben von Francis Borceux (Herausgeber)
Develops Galois theory in a more general context, … mehr »
geschrieben von Francis Borceux (Autor) und George Janelidze (Autor)
Develops Galois theory in a more general context, … mehr »
geschrieben von Francis Borceux (Autor) und George Janelidze (Autor) und Bela Bollobas (Herausgeber)
Handbook of Categorical Algebra: Volume 1, Basic Category Theory
First of a 3-volume work giving a detailed account of what should be known by all … mehr »
geschrieben von Francis Borceux (Autor)
Handbook of Categorical Algebra: Volume 1, Basic Category Theory
A Handbook of Categorical Algebra, in three volumes, is a detailed account of everything a mathematician needs to know about category theory. Each volume is self-contained and is accessible to … mehr »
geschrieben von Francis Borceux (Autor) und G. -C Rota (Herausgeber) und B. Doran (Herausgeber)
Handbook of Categorical Algebra: Volume 2, Categories and Structures
The second volume, which assumes familiarity with the material in the first, introduces important classes of categories that have played a fundamental role in the subject's development and … mehr »
geschrieben von Francis Borceux (Autor) und G. -C Rota (Herausgeber) und B. Doran (Herausgeber)
Handbook of Categorical Algebra: Volume 2, Categories and Structures
Second in a three part set, this volume introduces important classes … mehr »
geschrieben von Francis Borceux (Autor)
Handbook of Categorical Algebra: Volume 3, Sheaf Theory
This third volume turns to topos theory and the idea of sheaves. The theory of locales is considered first, and Grothendieck toposes are introduced. Notions of sketchability and accessible categories … mehr »
geschrieben von Francis Borceux (Autor) und G. -C Rota (Herausgeber) und B. Doran (Herausgeber)
Handbook of Categorical Algebra: Volume 3, Sheaf Theory
Third in a three part set, this volume introduces … mehr »
geschrieben von Francis Borceux (Autor)
Mal'cev, Protomodular, Homological and Semi-Abelian Categories
The purpose of the book is to take stock of the situation concerning Algebra via Category Theory in the last fifteen years, where the new and synthetic notions of Mal'cev, protomodular, homological … mehr »
geschrieben von Dominique Bourn (Autor) und Francis Borceux (Autor)
The programme of the Conference at El Escorial included 4 main courses of 3-4 hours. Their content is reflected in the four survey papers in this volume (see above). Also included are the ten …
This book is a short text in linear algebra, intended for a one-term course. In the first chapter, Lang discusses the relation between the geometry and the algebra underlying the subject, and gives …
Vectors.- Matrices and Linear Equations.- Vector Spaces.- Linear mappings.- Composition and inverse mappings.- Scalar Products and Orthogonality.- Determinants.- Eigenvectors and Eigenvalues. Answers …
This is a textbook for a course (or self-instruction) in cryptography with emphasis on algebraic methods. The first half of the book is a self-contained informal introduction to areas of algebra, …
Cryptography.- Complexity of Computations.- Algebra.- Hidden Monomial Cryptosystems.- Combinatorial-Algebraic Cryptosystems.- Elliptic and Hyperelliptic Cryptosystems.- Appendix: An Elementary …

The seminal 1989 work of Douglas and Paulsen on the theory of Hilbert modules over function algebras precipitated a number of major research efforts. This in turn led to some intriguing and valuable …
Introduction. Characteristic Spaces and Algebraic Reduction. Rigidity for Analytic Hilbert Modules. Equivalence of Hardy Submodules. Reproducing Function Spaces on Cn. The Arveson Module. Extensions …
Vielfach erprobt in einschlägigen Lehrveranstaltungen ist dieses zweibändige Werk. Es bringt die für Wirtschaftsstudenten an deutschsprachigen Hochschulen verbindlichen Themen in …
Cannon: 1) Principal designer of the Magma system2) Extensive contributions to the field of group theory algorithms 3) Awards:1993 CSIRO Medal (for Computer Algebra)2001 ATSE Clunies Ross Award (for …
This volume celebrates the Computer Algebra system Magma. With a design based on the ontology and semantics of algebra, Magma enables users to rapidly formulate and perform calculations in the more …
Magma: the project. About this volume. How to read the Magma code?- W.Bosma: Some computational experiments in number theory.- C.Fieker: Applications of the class field theory of global fields.- …
Mike Sullivan Professor of Mathematics at Chicago State University received a Ph.D. in mathematics from Illinois Institute of Technology. Mike has taught at Chicago State for over 35 years. He has …
The Eighth Edition of this highly dependable book retains its best features-accuracy, precision, depth, and abundant exercise sets-while substantially updating its content and pedagogy. Striving to …
TABLE OF CONTENTS Chapter R Review R.1 Real Numbers R.2 Algebra Essentials R.3 Geometry Essentials R.4 Polynomials R.5 Factoring Polynomials R.6 Synthetic Division R.7 Rational Expressions R.8 nth …
I. Continuity and Irrational Numbers. II. The …

This book provides an introduction to representations of both finite and compact groups. The proofs of the basic results are given for the finite case, but are so phrased as to hold without change for …
Basic Representation Theory-I; Induced Representations and Their Characters; Multilinear Algebra and …
The objective of this book is to present for the first time the complete algorithm for roots of the general quintic equation with enough background information to make the key ideas accessible to …
Preface.- Introduction.- Group Theory and Symmetry.- The Symmetry of Equations: Galois Theory and Tschirnhausen Transformations.- Elliptic Functions.- Algebraic Equations Soluble by Radicals.- The …
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