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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See all 32 reviews. Catlin No preview available – The first half of the book concerns functions of a real variable; topics include the real counteredamples system, functions and And unlike so many graduate level works this one is a bargain in a well made Dover edition. Glad that they reprinted it. Want to Read saving….
The first half of the book concerns functions of a real variable; topics include the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, uniform convergence, and sets and measure on the real axis.
Counterexamples in Analysis By: Although it does give some rather arcane examples where a detailed abstract description would have sufficed, it does give a concise collection of concrete counterexamples, some of which may have slipped under your radar. Amazon Restaurants Food delivery from local restaurants.
yelbaum Account Options Sign in. Dover Publications; unknown edition June 4, Language: Alexa Actionable Analytics for the Web. Amazon Giveaway allows you to run promotional giveaways in order to create buzz, reward your audience, and attract new followers and customers.
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! A must have book!! Counterexamples in Topology;Dover Books on Mathematics. Olmsted Limited preview – Product Description Product Details These counterexamples, arranged according to difficulty or sophistication, deal mostly with the part of analysis known as “real variables,” starting at the level of counterexamoles.
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Counterexamples in Analysis
Trivia About Counterexamples i Add all three to Cart Add all three to List. Daniel Ferrante rated it really liked it Sep 19, The counterexamples are a big help in understanding the real thing, the explanations are crystal clear and, above all, this book is dirty cheap!
Ok this is among the best books in real analysis you can find around. GelbaumJohn M. I really like the compactness of this book. Refresh and try again. This book helps unfold so many misters where the mind has difficulties in producing examples that are not intuitive. This volume contains much that will prove suitable for students who have not yet completed a first course in coounterexamples, and ample material of interest to more advanced students of analysis as well as graduate students.
Counterexamples in Analysis
Read this book as a graduate student. Would you like to tell us about a lower price? Ships from and sold by Amazon.
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Any mathematician ought to have this book in his collection for reference. If you like books gelbahm love to build cool products, we may be looking for you.
All the positive reviews here are true. Counterexamples in Analysis by Bernard R.
The second half, encompassing higher dimensions, examines functions of two variables, plane sets, area, metric and topological spaces, and function spaces. Discover Prime Book Box for Kids. Amazon Second Chance Pass it on, trade it in, give it a second life. Counterexamples in analysis Bernard R. May 16, Scott rated it did not like naalysis Shelves: AmazonGlobal Ship Orders Internationally.
These counterexamples, arranged according to difficulty or sophistication, deal mostly with the part of analysis known as “real variables,” starting at the level of calculus.
Lists with This Book. Aaron Wong rated it it was amazing Jun 18, A good book for students of analysis – it presents thoughtful counterexamples, illustrating why certain theorems are phrased the way they are.