This is a logically self-contained introduction to analysis, suitable for students who have had two years of calculus. The book centers around those properties that have to do with uniform convergence and uniform limits in the context of differentiation and integration. Topics discussed include the classical test for convergence of series, Fourier series, polynomial approximation, the Poisson kernel, the construction of harmonic functions on the disc, ordinary differential equation, curve integrals, derivatives in vector ...
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This is a logically self-contained introduction to analysis, suitable for students who have had two years of calculus. The book centers around those properties that have to do with uniform convergence and uniform limits in the context of differentiation and integration. Topics discussed include the classical test for convergence of series, Fourier series, polynomial approximation, the Poisson kernel, the construction of harmonic functions on the disc, ordinary differential equation, curve integrals, derivatives in vector spaces, multiple integrals, and others. In this second edition, the author has added a new chapter on locally integrable vector fields, has rewritten many sections and expanded others. There are new sections on heat kernels in the context of Dirac families and on the completion of normed vector spaces. A proof of the fundamental lemma of Lebesgue integration is included, in addition to many interesting exercises.
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Add this copy of Undergraduate Analysis to cart. $48.50, fair condition, Sold by ThriftBooks-Dallas rated 5.0 out of 5 stars, ships from Dallas, TX, UNITED STATES, published 2010 by Springer.
Add this copy of Undergraduate Analysis (Undergraduate Texts in to cart. $48.52, good condition, Sold by HPB-Red rated 5.0 out of 5 stars, ships from Dallas, TX, UNITED STATES, published 2010 by Springer.
Edition:
Softcover reprint of hardcover 2nd edition 1997
Publisher:
Springer-Verlag New York Inc.
Published:
2010
Language:
English
Alibris ID:
18076160074
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Add this copy of Undergraduate Analysis (Undergraduate Texts in to cart. $66.95, like new condition, Sold by Patrico Books rated 5.0 out of 5 stars, ships from Apollo Beach, FL, UNITED STATES, published 2010 by Springer.
Add this copy of Undergraduate Analysis to cart. $74.75, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2010 by Springer-Verlag New York Inc..
Edition:
Softcover reprint of hardcover 2nd edition 1997
Publisher:
Springer-Verlag New York Inc.
Published:
2010
Language:
English
Alibris ID:
11018030791
Shipping Options:
Standard Shipping: $4.60
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. Print on demand Contains: Illustrations, black & white. Undergraduate Texts in Mathematics . XV, 642 p. 23 illus. Intended for professional and scholarly audience.
Add this copy of Undergraduate Analysis (Undergraduate Texts in to cart. $107.08, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2010 by Springer.
Add this copy of Undergraduate Analysis (Undergraduate Texts in to cart. $147.05, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2010 by Springer.
