Algebra

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The Separable Galois Theory of Commutative Rings, Second Edition

The Separable Galois Theory of Commutative Rings, Second Edition

Andy R. Magid

July 14, 2014

The Separable Galois Theory of Commutative Rings, Second Edition provides a complete and self-contained account of the Galois theory of commutative rings from the viewpoint of categorical classification theorems and using solely the techniques of commutative algebra. Along with updating nearly...

Linear Algebra and Matrix Analysis for Statistics

Linear Algebra and Matrix Analysis for Statistics

Sudipto Banerjee, Anindya Roy

June 06, 2014

Linear Algebra and Matrix Analysis for Statistics offers a gradual exposition to linear algebra without sacrificing the rigor of the subject. It presents both the vector space approach and the canonical forms in matrix theory. The book is as self-contained as possible, assuming no prior knowledge...

Advanced Linear Algebra

Advanced Linear Algebra

Nicholas Loehr

April 10, 2014

Designed for advanced undergraduate and beginning graduate students in linear or abstract algebra, Advanced Linear Algebra covers theoretical aspects of the subject, along with examples, computations, and proofs. It explores a variety of advanced topics in linear algebra that highlight the rich...

A Functorial Model Theory: Newer Applications to Algebraic Topology, Descriptive Sets, and Computing Categories Topos

A Functorial Model Theory: Newer Applications to Algebraic Topology, Descriptive Sets, and Computing Categories Topos

Cyrus F. Nourani

February 06, 2014

This book is an introduction to a functorial model theory based on infinitary language categories. The author introduces the properties and foundation of these categories before developing a model theory for functors starting with a countable fragment of an infinitary language. He also presents a...

Abstract Algebra: An Inquiry Based Approach

Abstract Algebra: An Inquiry Based Approach

Jonathan K. Hodge, Steven Schlicker, Ted Sundstrom

December 21, 2013

To learn and understand mathematics, students must engage in the process of doing mathematics. Emphasizing active learning, Abstract Algebra: An Inquiry-Based Approach not only teaches abstract algebra but also provides a deeper understanding of what mathematics is, how it is done, and how...

Handbook of Linear Algebra, Second Edition

Handbook of Linear Algebra, Second Edition

Leslie Hogben

November 26, 2013

With a substantial amount of new material, the Handbook of Linear Algebra, Second Edition provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use format. It guides you from the very elementary aspects of the subject to the...

Basic Algebraic Topology

Basic Algebraic Topology

Anant R. Shastri

October 23, 2013

Building on rudimentary knowledge of real analysis, point-set topology, and basic algebra, Basic Algebraic Topology provides plenty of material for a two-semester course in algebraic topology. The book first introduces the necessary fundamental concepts, such as relative homotopy, fibrations and...

Algebras, Graphs and their Applications

Algebras, Graphs and their Applications

Ilwoo Cho

September 11, 2013

This book introduces the study of algebra induced by combinatorial objects called directed graphs. These graphs are used as tools in the analysis of graph-theoretic problems and in the characterization and solution of analytic problems. The book presents recent research in operator algebra theory...

Practical Linear Algebra: A Geometry Toolbox, Third Edition

Practical Linear Algebra: A Geometry Toolbox, Third Edition

Gerald Farin, Dianne Hansford

August 19, 2013

Through many examples and real-world applications, Practical Linear Algebra: A Geometry Toolbox, Third Edition teaches undergraduate-level linear algebra in a comprehensive, geometric, and algorithmic way. Designed for a one-semester linear algebra course at the undergraduate level, the book gives...

Quadratic Irrationals: An Introduction to Classical Number Theory

Quadratic Irrationals: An Introduction to Classical Number Theory

Franz Halter-Koch

June 17, 2013

Quadratic Irrationals: An Introduction to Classical Number Theory gives a unified treatment of the classical theory of quadratic irrationals. Presenting the material in a modern and elementary algebraic setting, the author focuses on equivalence, continued fractions, quadratic characters, quadratic...

Near Rings, Fuzzy Ideals, and Graph Theory

Near Rings, Fuzzy Ideals, and Graph Theory

Bhavanari Satyanarayana, Kuncham Syam Prasad

May 21, 2013

Near Rings, Fuzzy Ideals, and Graph Theory explores the relationship between near rings and fuzzy sets and between near rings and graph theory. It covers topics from recent literature along with several characterizations. After introducing all of the necessary fundamentals of algebraic systems, the...

Elements of Topology

Elements of Topology

Tej Bahadur Singh

May 20, 2013

Topology is a large subject with many branches broadly categorized as algebraic topology, point-set topology, and geometric topology. Point-set topology is the main language for a broad variety of mathematical disciplines. Algebraic topology serves as a powerful tool for studying the problems in...