This book is designed to be an easily readable, intimidation-free guide to advanced calculus. Ideas and methods of proof build upon each other and are explained thoroughly. This is the first book to cover both single and multivariable analysis in such a clear, reader-friendly setting. KEY TOPICS: Chapter topics cover sequences, limits of functions, continuity, differentiation, integration, infinite series, sequences and series of functions, vector calculus, functions of two variables, and multiple integration. MARKET: For individuals seeking math fun at a higher level.
This is a wonderful book for all of you out there that are struggling with analysis because your professor has chosen a traditional analysis text that is very terse like Rudin. The problem with so many of the traditional analysis textbooks is that you need a professor by your side guiding you, and without that type of help a student beginning analysis would be completley lost. So to remedy that situation I strongly recommend...
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The appeal this text has to readers is that it is approachable, readable, and thorough. Among the topics included are proof techniques, sequences, limits, and single and multi variable calculus.In comparison to other books I have studied concerning this material, this text has been written with students making the transition from computational mathematics (calculus sequence, linear, DEs) to analytical, theorem proving mathematics...
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