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Description
Foundations of AnalysisThis introduction to basic analysis presents a careful development of the real number system and the theory of calculus on the real line, extending the theory to real and complex planes. Designed as a first encounter with rigorous, formal mathematics for students with one year of calculus, the work features extended discussions of key ideas and detailed proofs of difficult theorems. Authors David F. Belding and Kevin J. Mitchell are Professors of Math
This introduction to basic analysis presents a careful development of the real number system and the theory of calculus on the real line, extending the theory to real and complex planes. Designed as a first encounter with rigorous, formal mathematics for students with one year of calculus, the work features extended discussions of key ideas and detailed proofs of difficult theorems.Authors David F. Belding and Kevin J. Mitchell are Professors of Math at Hobart and William Smith Colleges in Geneva, New York. Their approach emphasizes the connections between ideas, rather than rote, computational aspects of calculus. Their two-part treatment begins with the real number system and covers functions, limits, and continuity, as well as differentiation and integration and aspects of sequences and series. The second part explores calculus in two dimensions in addition to line integrals and Green's theorem. The text concludes with a concise survey of complex analysis.
Binding Type: Paperback
Publisher: Dover Publications
Published: 02/29/2008
ISBN: 9780486462967
Pages: 427
Weight: 1.20lbs
Size: 9.20h x 6.20w x 1.20d
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4.3 ★★★★★
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★★★★★ 5
My review
Format: Hardcover
Very good, fitting end of the N.A.M. Rodgers trilogy.
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Reviewed in the United States on April 10, 2026
★★★★★ 5
Answers Many Questions about Naval Developments
Format: Hardcover
The history offers a detailed and well organized account of the Royal Navy as it transitioned from sail to steam. Coverage included personalities, technology, tactics and strategy. The combination provided a complete appreciation of the dynamics at play, some unexpectedly. The details might be a bit much for a casual reader but offered plenty of avenues for research not available or compiled in one source. I look forward to the final volume, which should describe another watershed era.
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Reviewed in the United States on February 20, 2026
★★★★★ 5
Great Book with a different perspective
Format: Hardcover
This will be a short review of a very long book. I ordered the book expecting more of a history of the British Navy, but this is more of a history of Britain with respect to its navy. It is still excellent and authoritative, just different than I expected. I really appreciate a somewhat different perspective than I have found in some other books. For example, any discussion of Jackie Fisher I have read previously seemed to border on the hagiographic, whereas here he seems to get a very evenhanded appraisal. A great book, highly recommended.
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Reviewed in the United States on November 17, 2025
★★★★★ 5
Great read about naval history
Format: Hardcover
Great book completing a Trilogy ofBritish Naval history. Great read!
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Reviewed in the United States on July 11, 2025
★★★★★ 5
Magisterial
Format: Hardcover
Magisterial. A superb scholar at work and well written The sections on World War Two are a critical masterpiece
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Reviewed in the United States on January 19, 2026