ADVANCED ALGEBRA SECOND EDITION 2016 : By Anthony W. Knapp
FOR UPSC, SSC, RAILWAYS, NDA, CDS & STATE LEVEL COMPETITIVE EXAMINATIONS.
PREFACE TO THE SECOND EDITION
In the years since publication of the
first editions of Basic Algebra and Advanced Algebra, many readers have reacted
to the books by sending comments, suggestions, and corrections. They
appreciated the overall comprehensive nature of the books, associating this
feature with the large number of problems that develop so many sidelights and
applications of the theory. Along with the general comments and specific
suggestions were corrections, and there were enough corrections to the first
volume to warrant a second edition. A second edition of Advanced Algebra was
then needed for compatibility. For the first editions, the author granted a
publishing license to Birkhauser ̈Boston that was limited to print
media, leaving the question of electronic publication unresolved. The main
change with the second editions is that the question of electronic publication
has now been resolved, and for each book a PDF file, called the “digital second
edition,” is being made freely available to everyone worldwide for personal
use. These files may be downloaded from the author’s own Web page and from
elsewhere.
Some adjustments to Advanced Algebra were made at the time of the revision of Basic Algebra. These consisted of a small number of changes to the text necessitated by alterations to Basic Algebra, the correction of a few misprints, one small amendment to the “Guide for the Reader” about Chapter VII, some updates to the References, and some additions to the index for completeness. No other changes were made. AnnKostant was the person who conceived the idea, about 2003,for Birkhauser ̈ to have a series Cornerstones. Her vision was to enlist authors experienced at mathematical exposition who would write compatible texts at the early graduate level. The overall choice of topics was heavily influenced by the graduate curricula of major American universities. The idea was for each book in the series to explain what the young mathematician needs to know about a swath of mathematics in order to communicate well with colleagues in all branches of mathematics in the 21st century. Taken together, the books in the series were intended as an antidote for the worst effects of overspecialization. I am honored to have been part of her project. It was Benjamin Levitt, Birkhauser ̈ mathematics editor in New York as of 2014, who encouraged the writing of second editions of the algebra books.
He made a number of suggestions about pursuing them, and he passed along comments from several anonymous referees about the strengths and weaknesses of each book. I am especially grateful to those readers who have sent me comments over the years. The typesetting was done by the program Textures using AMS-TEX, and the figures were drawn with Mathematica.
ABOUT BOOK ….
Book Name: Advanced Algebra
Publication: East Setauket, New York
Authors: Anthony W. Knapp
Language: English
Pages: 758
Size: 10mb
Format: pdf
Uploaded: Google drive
The author has clearly explained the concepts. The entire book is written in a systematic manner. The whole material is classified into type wise according to the level of difficulty of the questions. It contains different - different varieties of question too.
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