Rudin principles of mathematical analysis

Anyone who does anything with calculus should probably read it.

Convert currency. Add to Basket. Book Description Paperback. Condition: New. Brand New! International Edition.

Rudin principles of mathematical analysis

The Basic Library List Committee considers this book essential for undergraduate mathematics libraries. Steven G. At MIT, the book has been practically canonized: I was once visited by some of my friends taking math in Cambridge and I was angrily dismissed as an ignorant dabbler for even suggesting any other text for undergraduate real analysis even existed. On the other hand, there was a group of math and physics majors at NYU who bought copies of the book merely to burn the entire pile as a statement of their contempt for it. Love it or hate it, the book elicits incredibly strong passions in people. It also remains the single most assigned text for undergraduate real analysis by professors. Moore Instructor at MIT in the early s. Rudin was discussing the difficulty of choosing a suitable text with Ted Martin, then chair of the mathematics department at MIT. Back then, there simply were no modern texts on classical real analysis in English. More importantly, they were too advanced for such a course. Martin quite naturally suggested Rudin write such a text.

The chapter ends with a discussion of the gamma and beta functions which feature heavily in probability and other areas. While it may be more indirect, this method is overall a little easier for students to digest, particularly those with some training in set theory or algebra.

Initially published by McGraw Hill in , it is one of the most famous mathematics textbooks ever written. Moore instructor , Rudin taught the real analysis course at MIT in the — academic year. Martin , who served as a consulting editor for McGraw Hill , that there were no textbooks covering the course material in a satisfactory manner, Martin suggested Rudin write one himself. After completing an outline and a sample chapter, he received a contract from McGraw Hill. He completed the manuscript in the spring of , and it was published the year after.

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Rudin principles of mathematical analysis

For shipments to locations outside of the U. All shipping options assume the product is available and that processing an order takes 24 to 48 hours prior to shipping. Pricing subject to change at any time. The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. The text begins with a discussion of the real number system as a complete ordered field. Dedekind's construction is now treated in an appendix to Chapter I. The topological background needed for the development of convergence, continuity, differentiation and integration is provided in Chapter 2. There is a new section on the gamma function, and many new and interesting exercises are included.

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This is just a result of the book being old. I'm uncertain whether this is allowed or if dealers in the region will venture it even if a loophole existed, and delivery costs may be heavy, but the purchase ought to be cheaper even so considering the obscene asking prices for some of these textbooks. Mathematical Association of America. Chapter 8 focuses on bundling together the concepts of chapters to prove claims about common functions. For shipments to locations outside of the U. The book contains proofs of theorems and practice problems, making it a very good resource. Help center. It also remains the single most assigned text for undergraduate real analysis by professors. Thankfully, in the modern era there are a multitude of resources available for someone going through this book. One could simply just extend the ideas of chapter 3 to pointwise convergence of functions. A useless book if you are a beginner who has never seen a proof, and even more useless to learn on your own.

Anyone who does anything with calculus should probably read it.

Chapter 3 is about sequences and series. In shrink wrap. Rudin introduces everything as if they came from out of nowhere, like a black hole. Chapter 3, on numerical sequences and series, is, to me, the best chapter in the book. Fast Shipping and good customer service. These as well as other classic mathematics texts may not be all that reasonably priced, in which case you might consider having them ordered from South Asia or China where they sell for a special rate. Order shipping options are:. Rudin then uses the notion of uniform convergence to construct a continuous function that is nowhere differentiable. Book Description Gebunden. Rudin, Walter. New Hardcover Quantity: 5. There is a new section on the gamma function, and many new and interesting exercises are included. Principles of Mathematical Analysis Rudin, Walter. Chapter 4 discusses continuous functions in metric spaces, the relation between connectedness and continuity in metric spaces, compactness in such spaces, discontinuities, infinite limits and uniform continuity. The rest of the chapter focuses on establishing and extending the idea that a continuous function on a compact interval can be uniformly approximated by a sequence of polynomials.