These counterexamples, arranged according to difficulty or sophistication, deal mostly with the part of analysis known as “real variables,”. Counterexamples in Analysis has 69 ratings and 6 reviews. Scott said: The book itself was not horribly written or otherwise deplorable, but the fonts and. sense of a function having a finite derivative at each point of its domain. A function is said to be infinitely differentiable iff it has. (finite) derivatives of all orders at.
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Would you like to tell us about a lower price? If you are a seller for this product, would you like to suggest updates through seller support? These counterexamples deal mostly with the part of analysis known as “real analysiss. The 2nd half examines functions of 2 variables, plane sets, area, metric and topological spaces, and function spaces. Read more Read less. Discover Prime Book Box for Kids.
Add all three to Cart Add all three to List. Buy the selected items together This item: Ships from and sold by Amazon. Customers who bought this item also bought. Page 1 of 1 Start over Page 1 of 1. Counterexamples in Topology;Dover Books on Mathematics. Third Edition Dover Books on Mathematics. Principles of Mathematical Analysis.
Counterexamples in Analysis – Bernard R. Gelbaum, John M. H. Olmsted – Google Books
Dover Books on Mathematics Paperback: Dover Publications; unknown edition June 4, Language: Don’t have a Kindle? Try the Kindle edition and experience these great reading features: Share your thoughts with other customers.
Write a customer review. Read reviews that mention real analysis mathematical analysis great book book is a must counterexamples in analysis examples students concepts example useful function mathematics proofs definitions functions graduate limits student theory understanding.
Showing of 32 reviews. Top Reviews Most recent Top Reviews. There was a problem filtering reviews right now. Please try again later. One might question the taste of such a book but helpful in conjunction with baby Rudin to prepare for real analysis test in college on the first exposure. Read this book as a graduate student.
I think it is a very useful resource for mathematics teachers and students. Glad that they reprinted it. Gelbam person found this helpful. All the positive reviews here are true.
This is an awesome book that every serious math student should own, especially gelbuam students preparing for qualification exams. And unlike so many graduate xnalysis works this one is a bargain in a well made Dover edition.
As one reviewer notes “Just get it”. I really like the compactness of this book. Seriously, It gives almost all the major definitions which you would ever need, and it provides all kinds of nontrivial examples.
Depending on your preference, the notation can sometimes be a little awkward, but it is neither incorrect nor ambiguous; that is, it is still correct and clear, depending on your understanding.
Any mathematician ought to have this book in his collection for reference. Ok this is among the best books in real analysis you can find around. The counterexamples are a big help in understanding the real thing, the explanations are crystal clear and, above all, this book is dirty cheap!
It’s difficult to find a better book for even a heftier sum, this book is a must have for anyone interested in real analysis!
Graduate student in Mathematics here. Great resource especially for the student looking for easy examples for qualifying examinations. A must have book!! This book helps unfold so many counterexampkes where the mind has difficulties in producing analgsis that are not intuitive. What this book taught me later in my professional life: For example, in software it is important to spend resources to break a code – we can see very well the merits, but it is hard to look under the hood.
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Counterexamples in Analysis
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Counterexamples in Analysis
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