- Hardcover: 477 pages
- Publisher: Springer-Verlag New York, Inc (Sep 11 1985)
- Language: English
- ISBN-10: 0387150668
- ISBN-13: 978-0387150666
- Product Dimensions: 23.1 x 15.7 x 2.5 cm
- Shipping Weight: 680 g
- Amazon Bestsellers Rank: #1,584,228 in Books (See Top 100 in Books)
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Most Helpful Customer Reviews on Amazon.com (beta)
Amazon.com:
4.5 out of 5 stars (2 customer reviews)
6 of 7 people found the following review helpful
4.0 out of 5 stars
Great Book, Mar 25 2000
By A Customer - Published on Amazon.com
This review is from: Constructive Analysis (Hardcover)
What was needed was a top-ranking classical mathematician to show that a thoroghgoing constructive development of constrictive mathematics was possible without a commitment to Brouwer's eccentric principles or to the machinery of recursive function theory. This need was fulfilled in 1967 with the appearance of Bishop's monograph Fouundations of Constrictive Analysis. This book is an excelent reformulation an continuation of that work.
0 of 2 people found the following review helpful
5.0 out of 5 stars
Math Cleans up its Act, Dec 3 2008
By Foster Morrison "Foster Morrison" - Published on Amazon.com
This review is from: Constructive Analysis (Hardcover)
As someone interested in mathematical modeling, I found this book a refreshing relief from the mystical, if not illogical methods of most of academic mathematics. True, I did run into a few brick walls, but I also did not take the time to study everything critically. My attitude is that the academics are supposed to keep people like me honest, not the other way around. Of course, they have failed miserably with the physicists. An obvious clarification that Bishop and Bridges did not employ was the fact that classification is much more complex and subjective than counting. That is the problem with using set theory as a foundation for mathematics and then attempting to clean up the mess ex post facto. Sets are useful, when carefully deployed, to create constructs like function spaces, which can lead to potent methodologies, such as the Picard-Chebyshev ODE solver. Scientists and engineers, and God willing, even mathematicians, should become mathematically literate, as well as computationally competent. What has been long needed is a good undergraduate text, and here it is:Real Analysis: A Constructive Approach (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts)
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