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Title: Foundations of Analysis by Landau, Edmund ISBN: 0-8218-2693-X Publisher: Chelsea Pub Co Pub. Date: May, 2001 Format: Hardcover List Price(USD): $17.00 |
Average Customer Rating: 5 (2 reviews)
Rating: 5
Summary: one of a kind treasure
Comment: The book is very good for people who want to be a high-school teacher of math, or be a mathematician. Even if you don't take a class with this book, read it on your own before taking real analysis. It will make your thought and logic complete and precise. A really nice training and practical preparation to do analysis.
The book is very simple and short. It deals with number system from natural to complex, gently. Simple things are usually not easy, though.
I took real analysis twice long time ago, but this book still improved my thinking of numbers very effectively.
I recommend this book to those who want to be precise and correct, no matter you are math or theoretical physics people.
And also for high-school students who want to know what pure mathematicians really do.
And also for independent thinkers of mathematical science, and would-be philosophers!
Rating: 5
Summary: The beggining of it all
Comment: Landau's most known book is this little masterpiece. If you want to see everything about numbers proved, from the beggining, assuming just logical and set-theoretical principles and the five Peano axioms, you will find it here. You will see the proof of why 1+1=2, for instance, or why a+b=b+a. Usually people learn analysis with a lot of pictures and assumptions, and every once in a while one asks himself: how does it all begin? Because sometimes you see something which ought to be evident proved, and something which ought to be proved assumed. I recall that when I first met this book I became amazed and read it through with a lot of willing. It is difficult reading, so be prepared. That's because Landau wanted to follow the axiomatic Euclidean style in its most pure way. So the book is in the non-merciful telegram style of presenting everything in terms of "Axioms", "Definitions", "Propositions". Few books before and after strove to reach such pure and clear presentation of arithmetic. Thank God some one had once the patience to write such careful and complete text! In this book the words of Edgar Allan Poe are more than anywhere true: "What I here propound is true:-therefore it cannot die:-or if by any means it be now trodden down so that it die, it will 'rise again to the Life Everlasting'".
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Title: Differential and Integral Calculus by Edmund Landau, Melvin Hausner, Martin Davis ISBN: 0821828304 Publisher: Chelsea Pub Co Pub. Date: June, 2001 List Price(USD): $37.00 |
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Title: Counterexamples in Analysis by Bernard R. Gelbaum, John M. H. Olmsted ISBN: 0486428753 Publisher: Dover Pubns Pub. Date: 04 June, 2003 List Price(USD): $14.95 |
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Title: Godel's Proof by Ernest Nagel, James Roy Newman, Douglas R. Hofstadter ISBN: 0814758169 Publisher: New York University Press Pub. Date: February, 2002 List Price(USD): $18.95 |
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Title: A Course of Pure Mathematics by G.H. Hardy ISBN: 0521092272 Publisher: Cambridge University Press Pub. Date: 04 March, 1993 List Price(USD): $35.00 |
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Title: Axiomatic Set Theory by Patrick Suppes ISBN: 0486616304 Publisher: Dover Pubns Pub. Date: 01 June, 1972 List Price(USD): $11.95 |
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