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Mathematics


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Mathematics
Abstract Algebra


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Algebra (Graduate Texts in Mathematics #73)
Algebra (Graduate Texts in Mathematics #73)
by Thomas W. Hungerford
Publisher Comments
Finally a self-contained, one volume, graduate-level algebra text that is readable by the average graduate student and flexible enough to accommodate a wide variety of instructors and course contents. The guiding principle throughout is that the material... (read more)

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The Descent Map from Automorphic Representations of GL(n) to Classical Groups
The Descent Map from Automorphic Representations of GL(n) to Classical Groups
by David Ginzburg
Synopsis
This book introduces the method of automorphic descent, providing an explicit inverse map to the (weak) Langlands functorial lift from generic, cuspidal representations on classical groups to general linear groups. The essence of this method is the study... (read more)

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London Mathematical Society Lecture Note #396: Arithmetic Differential Operators Over the P-Adic Integers
London Mathematical Society Lecture Note #396: Arithmetic Differential Operators Over the P-Adic Integers
by Claire C. Ralph
Publisher Comments
The study of arithmetic differential operators is a novel and promising area of mathematics. This complete introduction to the subject starts with the basics: a discussion of p-adic numbers and some of the classical differential analysis on the field of... (read more)

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Field Theory
Field Theory
by Steven Roman
Publisher Comments
This book presents the basic theory of fields, starting more or less from the beginning. It is suitable for a graduate course in field theory, or independent study. The reader is expected to have taken an undergraduate course in abstract algebra, not so... (read more)

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Algebra Volume 1 Fields & Galois Theory
Algebra Volume 1 Fields & Galois Theory
by Falko Lorenz
Publisher Comments
The present textbook is a lively, problem-oriented and carefully written introduction to classical modern algebra. The author leads the reader through interesting subject matter, while assuming only the background provided by a first course in linear... (read more)

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The Lie Algebras Su(n): An Introduction
The Lie Algebras Su(n): An Introduction
by Walter Pfeifer
Publisher Comments
Lie algebras are efficient tools for analyzing the properties of physical systems. Concrete applications comprise the formulation of symmetries of Hamiltonian systems, the description of atomic, molecular and nuclear spectra, the physics of elementary... (read more)

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Abstract Algebra: Theory and Applications
Abstract Algebra: Theory and Applications
by Thomas W. Judson
Publisher Comments
This text is intended for a one- or two-semester undergraduate course in abstract algebra and covers the traditional theoretical aspects of groups, rings, and fields. Many applications are included, including coding theory and cryptography. The nature of... (read more)

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Noncommutative Grvbner Bases and Filtered-Graded Transfer
Noncommutative Grvbner Bases and Filtered-Graded Transfer
by H. Li
Publisher Comments
This self-contained monograph is the first to feature the intersection of the structure theory of noncommutative associative algebras and the algorithmic aspect of Groebner basis theory. A double filtered-graded transfer of data in using noncommutative... (read more)

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Introduction to Abstract Algebra
Introduction to Abstract Algebra
by W. Keith Nicholson
Publisher Comments
Praise for the Third Edition ". . . an expository masterpiece of the highest didactic value that has gained additional attractivity through the various improvements . . ."—Zentralblatt MATH The Fourth Edition of Introduction to Abstract Algebra... (read more)

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Lecture Notes in Applied and Computational Mechanics #47: Numerics of Unilateral Contacts and Friction: Modeling and Numerical Time Integration in Non-Smooth Dynamics
Lecture Notes in Applied and Computational Mechanics #47: Numerics of Unilateral Contacts and Friction: Modeling and Numerical Time Integration in Non-Smooth Dynamics
by Christian Studer
Publisher Comments
This book is especially suited for people both in research and industry who are interested in the numerical simulation of mechanical systems with unilateral contacts and friction. Such systems can be found in various fields of technical application... (read more)

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Algebra : Pure and Applied (02 Edition)
Algebra : Pure and Applied (02 Edition)
by Aigli Papantonopoulo
Publisher Comments
For a one-semester course covering groups and rings or a two-semester course in Abstract Algebra.This text provides thorough coverage of the main topics of abstract algebra while offering nearly 100 pages of applications. A repetition and examples first... (read more)

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A Sequence of Problems on Semigroups (Problem Books in Mathematics)
A Sequence of Problems on Semigroups (Problem Books in Mathematics)
by J. W. Neuberger
Publisher Comments
A Sequence of Problems on Semigroups consists of an arrangement of problems which are designed to develop a variety of aspects to understanding the area of one-parameter semigroups of operators. Written in the Socratic/Moore method, this is a problem... (read more)

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An Introduction to Algebraic Structures
An Introduction to Algebraic Structures
by Joseph Landin
Publisher Comments
Superb, self-contained text covers sets and numbers, the elements of set theory, the real numbers, the theory of groups, group isomorphism and homomorphism, the theory of rings, and polynomial rings. Numerous examples and exercises. Ideal for a 1... (read more)

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Integration of Functions
Integration of Functions
by Hardy G. H.
Publisher Comments
The first edition of Hardy's Integration of Functions of a Single Variable was published in 1905, with this 1916 second edition being reprinted up until 1966. Now this digital reprint of the second edition will allow the twenty-first-century reader a... (read more)

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Elements of Algebra: Geometry, Numbers, Equations (Undergraduate Texts in Mathematics)
Elements of Algebra: Geometry, Numbers, Equations (Undergraduate Texts in Mathematics)
by John Stillwell
Synopsis
This book is a concise, self-contained introduction to abstract algebra that stresses its unifying role in geometry and number theory. Classical results in these fields, such as the straightedge-and-compass constructions and their relation to Fermat... (read more)

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Graduate Texts in Mathematics #247: Braid Groups
Graduate Texts in Mathematics #247: Braid Groups
by Christian Kassel
Publisher Comments
Braids and braid groups have been at the heart of mathematical development over the last two decades. Braids play an important role in diverse areas of mathematics and theoretical physics. The special beauty of the theory of braids stems from... (read more)

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Modern Approaches to the Invariant-Subspace Problem
Modern Approaches to the Invariant-Subspace Problem
by Isabelle Chalendar
Publisher Comments
One of the major unsolved problems in operator theory is the fifty-year-old invariant subspace problem, which asks whether every bounded linear operator on a Hilbert space has a nontrivial closed invariant subspace. This book presents some of the major... (read more)

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Structural Theory of Automata, Semigroups, and Universal Algebra
Structural Theory of Automata, Semigroups, and Universal Algebra
by Valeriĭ Borisovich Kudri︠a︡vt︠s︡ev
Publisher Comments
Several of the contributions to this volume bring forward many mutually beneficial interactions and connections between the three domains of the title. Developing them was the main purpose of the NATO ASI summerschool held in Montreal in 2003. Although... (read more)

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Gröbner Bases and the Computation of Group Cohomology
Gröbner Bases and the Computation of Group Cohomology
by David J. Green
Publisher Comments
This monograph develops the Grbner basis methods needed to perform efficient state-of- the-art calculations in the cohomology of finite groups. Results obtained include the first counterexample to the conjecture that the ideal of essential classes... (read more)

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Foundations of Galois Theory (Dover Books on Mathematics)
Foundations of Galois Theory (Dover Books on Mathematics)
by M. M. Postnikov
Publisher Comments
The first part explores Galois theory, focusing on related concepts from field theory. The second part discusses the solution of equations by radicals, returning to the general theory of groups for relevant facts, examining equations solvable by... (read more)

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