Rudin principles of mathematical analysis

Anyone who does anything with calculus should probably read it. That said, it isn't a perfect primer. The proofs can be difficult to follow, and the language is very high-level. Some chapters suffer from a lack of examples or explanation.

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. Rudin noted that in writing his textbook, his purpose was "to present a beautiful area of [m]athematics in a well-organized readable way, concisely, efficiently, with complete and correct proofs.

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. After several versions of the course and the resulting lecture notes, the first edition of Principles was published in and the rest was history — for better or worse. Chapter 1 gives a detailed study of the real number field. Earlier editions used the direct construction of R via Dedekind cuts of rationals. In this edition, Rudin relegates the construction to an appendix, arguing that this construction is too difficult for beginning students.

As the purchaser and consumer of this text, you don't really have a choice. New Softcover Quantity: 1.

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.

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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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There are more copies of this book View all search results for this book. New Hardcover Quantity: 1. Back then, there simply were no modern texts on classical real analysis in English. Finally, the book has a bibliography, an index, and a list of the special symbols used in the book. Although the proofs have an added layer of complexity for example, showing that a continuous function is integrable , the payoff comes in both the ability to connect integrals and series and to give a short proof of the change of variables theorem for integrals. Loading interface Henry Cooksley. While I can sympathize with this to an extent, I think this concern is overblown. After discussing function algebras, Rudin ends the chapter with proofs of the Stone-Weierstrass theorem in the spaces of real and complex continuous functions. Create a free account to discover what your friends think of this book! It's the classic. Seller Inventory PSN Condition: new. In that sense this books a good measuring stick of what you are supposed to know. Seller Image.

Anyone who does anything with calculus should probably read it. That said, it isn't a perfect primer. The proofs can be difficult to follow, and the language is very high-level.

Chapter 4, which discusses limits and continuity, connects the material in chapter 2 and 3 together. It begins with a discussion of the real number system as a complete ordered field. Prompt service guaranteed. And that's only the beginning. I'm not a math major and I skipped most of the exercises, but the ones I did were worth the effort. Seller Image. The topics covered however will not disappoint. It was an [a]esthetic pleasure to work on it. It's the sort of book that can really bring out one's true potential. Before, one has to start with learning what the set of real numbers are and why they are useful covered in chapter 1. Chapter 6 focuses on the theory of integration.