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Undergraduate Algebra is a text for the standard undergraduate algebra course. It concentrates on the basic structures and results of algebra, discussing groups, rings, modules, fields, polynomials, finite fields, Galois Theory, and other topics. The author has also included a chapter on groups of matrices which is unique in a book at this level. Throughout the book, the author strikes a balance between abstraction and concrete results, which enhance each other. Illustrative examples accompany the general theory. Numerous exercises range from the computational to the theoretical, complementing results from the main text.For the third edition, the author has included new material on product structure for matrices (e.g. the Iwasawa and polar decompositions), as well as a description of the conjugation representation of the diagonal group. He has also added material on polynomials, culminating in Noah Snyder's proof of the Mason-Stothers polynomial abc theorem.

## About book:

## About file:

Security code:

- Series:
**Undergraduate texts in mathematics** - Author:
**Serge Lang** - Year:
**2005** - Publisher:
**Springer** - Language:
**English** - ISBN:
**9780387220253,0-387-22025-9**

- File size:
**3 287 388** - Format:
**djvu**

Security code:

Undergraduate Algebra is a text for the standard undergraduate algebra course. It concentrates on the basic structures and results of algebra, discussing groups, rings, modules, fields, polynomials, finite fields, Galois Theory, and other topics. The auth...

Aimed primarily at graduate students and beginning researchers, this book provides an introduction to algebraic geometry that is particularly suitable for those with no previous contact with the subject and assumes only the standard background of undergra...

Massey's well-known and popular text is designed to introduce advanced undergraduate or beginning graduate students to algebraic topology as painlessly as possible. The principal topics treated are 2-dimensional manifolds, the fundamental group, and cover...

This book is intended to provide us with a short (135 pages), down to earth and fluently motivated introduction to algebraic geometry. And it does a great job. While the author does not clearly state his intentions in advance, I think it would be safe to ...

Once thought to be high-brow estoeric mathematics, algebraic geometry is now finding applications in a myriad of different areas, such as cryptography, coding algorithms, and computer graphics. This book gives an overview of some of the techniques involve...

Aimed primarily at graduate students and beginning researchers, this book provides an introduction to algebraic geometry that is particularly suitable for those with no previous contact with the subject and assumes only the standard background of undergra...

Algebraic geometry is, essentially, the study of the solution of equations and occupies a central position in pure mathematics. With the minimum of prerequisites, Dr. Reid introduces the reader to the basic concepts of algebraic geometry, including: plane...

This book is a clear and self-contained introduction to discrete mathematics. Aimed mainly at undergraduate and early graduate students of mathematics and computer science, it is written with the goal of stimulating interest in mathematics and an active, ...

From the reviews: "O'Meara treats his subject from this point of view (of the interaction with algebraic groups). He does not attempt an encyclopedic coverage ...nor does he strive to take the reader to the frontiers of knowledge... . Instead he has given...

Mathematical modelling is a powerful tool for solving optimisation problems in chemical engineering. In this work several models are proposed aimed at helping to make decisions about different aspects of the processes lifecycle, from the synthesis and des...

Mathematical modelsâ€”including those based on ordinary, partial differential, integral, and integro-differential equationsâ€”are indispensable tools for studying the physical world and its natural manifestations. Because of the usefulness of these models, it...

AndrÃ© Comte-Sponville, A Small Treatise on the Great Virtues, translated by Catherine Temerson (New York, Holt Paperbacks, 2001) The short of it is that this book will make you feel good about being good. The long of it is: I was doing a paper on `val...

'Atom-Field Interactions and Dressed Atoms' is a useful book for graduate students and reseachers in the field of Quantum Optics. The interaction between atoms and electromagnetic fields is a research area which demands strong backgound in mathematics an...

The purpose of this book is to collect contributions that deal with the use of nature inspired metaheuristics for solving multi-objective combinatorial optimization problems. Such a collection intends to provide an overview of the state-of-the-art develop...

For this Handbook authors known to have different views regarding the nature of development economics have been selected. The Handbook is organised around the implications of different sets of assumptions and their associated research programs. It is divi...

This book examines in detail two of the fundamental questions raised by quantum mechanics. Is the world indeterministic? Are there connections between spatially separated objects? In the first part of the book after outlining the formalism of quantum mech...

some of these things I've already done with my kids, however, there are lots of things I never thought of doing with them....

I'm going through a second reading of this book and I think it deserves to become a reference for the following reasons. Firstly it is putting back the term innovation in its true place. Innovation has become a buzzword and is too often misused. David Cr...