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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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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Edition:
Softcover reprint of hardcover 2nd edition 1997
Publisher:
Springer-Verlag New York Inc.
Published:
2010
Language:
English
Alibris ID:
17663964097
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Standard Shipping: $4.57
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Fine. Contains: Illustrations, black & white. Undergraduate Texts in Mathematics . XV, 642 p. 23 illus. Intended for professional and scholarly audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Edition:
Softcover reprint of hardcover 2nd edition 1997
Publisher:
Springer-Verlag New York Inc.
Published:
2010
Language:
English
Alibris ID:
17663964664
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Standard Shipping: $4.57
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Seller's Description:
Fine. Contains: Illustrations, black & white. Undergraduate Texts in Mathematics . XV, 642 p. 23 illus. Intended for professional and scholarly audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Edition:
Softcover reprint of hardcover 2nd edition 1997
Publisher:
Springer-Verlag New York Inc.
Published:
2010
Language:
English
Alibris ID:
17663967763
Shipping Options:
Standard Shipping: $4.57
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Seller's Description:
New. Contains: Illustrations, black & white. Undergraduate Texts in Mathematics . XV, 642 p. 23 illus. Intended for professional and scholarly audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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: $4.57
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.
