An Introduction to Analysis

(Hardback)

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Description

An essential undergraduate textbook on algebra, topology, and calculus An Introduction to Analysis is an essential primer on basic results in algebra, topology, and calculus for undergraduate students considering advanced degrees in mathematics. Ideal for use in a one-year course, this unique textbook also introduces students to rigorous proofs

Reviews

"One would expect that this book offers a demanding, sophisticated look at this material, done rapidly and concisely. One would be correct. . . . [F]or very sophisticated honors courses with exceptionally well-prepared students who are prepared to work hard, it would certainly offer a vivid, exciting and informative introduction to this material."---Mark Hunacek, MAA Reviews
"The ideal textbook to cover the foundations of mathematics. . . . This is one of the best books at the undergraduate level that Ive ever read."---Jonathan Shock, Mathemafrica
"The book is clearly written, with elegant proofs, and a clever selection of the topics, allowing to present in one volume in a coherent and self-contained manner, several topics, starting with background results in abstract algebra and topology and culminating with Stokes theorem. . . . The book will be of great help for teachers on advanced courses in analysis, or for self-study by students, giving them a quick but rigorous acquittance with somefundamental results of mathematical analysis."---Tiberiu Trif, Studia Mathematica
"Tested and proven in classroom, this unique undergraduate textbook presents various basic topics in one coherent primer of reasonable size, and that in a very elegant style."---Werner Kleinert, Zentralblatt MATH
"Every prospective masters student should work through this fantastic book in order to acquire a sound background on the fundamentals of analysis."---R. Donninger, International Math News

Author Bio

Robert C. Gunning is professor of mathematics at Princeton University. His books include Lectures on Riemann Surfaces and Lectures on ComplexAnalytic Varieties (both Princeton).