Rudin principles of mathematical analysis

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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. To get the most out of this book, it really has to be a classroom companion; you're not going to get too much out of just reading it in your spare time.

Rudin principles of mathematical analysis

Convert currency. Add to Basket. Book Description Condition: New. Book is in NEW condition. Seller Inventory More information about this seller Contact seller. Book Description Condition: new. Seller Inventory FrontCover This book is in the same immaculate condition as when it was published. Seller Inventory new. Book Description Paperback. Condition: new. Fast Shipping and good customer service.

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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.

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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. Need support? We're here to help - Get real-world support and resources every step of the way.

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He must set aside slovenly habits picked up in high school and learn to wield the predicate calculus in all its glory in order to construct rigorous proofs of non-trivial theorems. International Edition. Seller Inventory FrontCover It was reasonable to expect that students who did well in such calculus courses would have more then sufficient background to be able to tackle Rudin, despite the effort it would require of even good students. Seller Inventory CleanX. New Softcover Quantity: 1. This text is a classic for anyone trying to learn real analysis. It seems appropriate to mention some of these in closing. 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. Chapter 3, on numerical sequences and series, is, to me, the best chapter in the book. Follow McGraw Hill:. Martin quite naturally suggested Rudin write such a text. Suffice it to say that these three chapters are too concise and by no means adequate to their respective subjects.

Anyone who does anything with calculus should probably read it. That said, it isn't a perfect primer.

In this way it reminded me of Gallagher's stochastic processes book. At last in chapter four we arrive at the epsilon-delta definition of limits, continuity, compactness, uniform continuity, connectedness and infinity. This question is not a simple as it may seem, and the additional property of equicontinuity is developed extending the idea of uniform continuity to all functions in family. The style grew on me a bit while I was reading it, but on the whole it's not a friendly book. Such attention to detail is really part of the art of any communication, as Fowler tirelessly seeks to get across throughout his Modern English Usage. Add to Basket. The book remains clear, precise and largely focused throughout, despite the dryness. I have mixed feelings about this book. Condition: new. After discussing function algebras, Rudin ends the chapter with proofs of the Stone-Weierstrass theorem in the spaces of real and complex continuous functions. Help center. After discussing uniform convergence and proving some theorems involving the Cauchy criterion and the M-test for series of uniformly convergent functions, Rudin quickly covers uniform convergence and limits, integration, and differentiation. Force them to do things they are unfamiliar with, things that are illogical and unwholesome. Rudin optimized this book for the shortest proofs, and that isn't particularly useful for learning the material.