## Overview

- Contents and treatment are fresh and very different from the standard treatments
- Presents a fully constructive version of what it means to do algebra
- The exposition is not only clear, it is friendly, philosophical, and considerate even to the most naive or inexperienced reader
- Includes supplementary material: sn.pub/extras

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## Table of contents (5 chapters)

## Reviews

From the reviews:

"Harold Edwards is well known for his books with a constructivist slant, and his latest book aims to spread his message further. … The major part of the book consists of essays … telling a connected story, showing what can be achieved with such a constructive restriction imposed. The achievement is impressive … . " (John Baylis, The Mathematical Gazette, Vol. 90 (5l9), 2006)

"It is not a book about the history/philosophy of mathematics but rather a very serious book of mathematics. … the mathematics is accessible to those with advanced undergraduate or graduate level courses in algebra … . Without a doubt the mathematics in this book is rigorous … . One of the nice features of this book is the bibliography which notes the sections where each reference appears. It should appeal to mathematicians and historians of mathematics alike." (Bonnie Shulman, MathDL, January, 2005)

"The author of this volume points out immediately that it is not about the history or philosophy of mathematics, but rather a book about mathematics. It soon becomes clear, though, that historical and philosophical issues strongly influenced the topics discussed. … The general point of view is that all definitions, theorems, constructs, and proofs should involve only algorithms that terminate in a finite number of steps. … The book contains a wealth of interesting mathematics well worth reading." (Larry C. Grove, SIAM Review, Vol. 47 (4), 2005)

“The book under review presents several important topics in mathematics from a constructivist point of view. … This book is a delight to read. … Moreover, the required background is kept to a minimum, so the book can be read by anyone with a good understanding of basic algebra. … The style of the book itself is sufficient reason for reading it. … One would wish that more mathematicians read the masters in search of inspiration, instead of merely following the most recent fads.” (S.C. Coutinho, SIGACT News, Vol. 41 (2), 2010)## Authors and Affiliations

## About the author

Harold M. Edwards is Emeritus Professor of Mathematics at New York University. His previous books are Advanced Calculus (1969, 1980, 1993), Riemann's Zeta Function (1974, 2001), Fermat's Last Theorem (1977), Galois Theory (1984), Divisor Theory (1990) and Linear Algebra (1995). Readers of his Advanced Calculus will know that his preference for constructive mathematics is not new. In 1980 he was awarded the Steele Prize for mathematical exposition for the Riemann and Fermat books.

## Bibliographic Information

Book Title: Essays in Constructive Mathematics

Authors: Harold M. Edwards

DOI: https://doi.org/10.1007/b138656

Publisher: Springer New York, NY

eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

Copyright Information: Springer-Verlag New York 2005

Softcover ISBN: 978-1-4899-9018-1Published: 04 December 2014

eBook ISBN: 978-0-387-27130-9Published: 17 February 2007

Edition Number: 1

Number of Pages: XX, 211

Topics: Algebra, Mathematics, general, Algebraic Geometry, Sequences, Series, Summability, Mathematical Logic and Foundations, Number Theory