Description
Advanced Calculus of a Single Variable, 1st ed. 2016
Author: Geveci Tunc
Language: EnglishPublication date: 04-2018
Support: Print on demand
Publication date: 04-2016
Support: Print on demand
Description
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Success in this course is expected to prepare students for more advanced courses in real and complex analysis and this book will help to accomplish this. The first semester of advanced calculus can be followed by a rigorous course in multivariable calculus and an introductory real analysis course that treats the Lebesgue integral and metric spaces, with special emphasis on Banach and Hilbert spaces.
Carefully dissects key concepts such as limits of sequence, convergence & divergence of monotone sequences, infinite limits, derivatives, integrals, and series of real numbers
Contextualizes subtle, commonly-misunderstood topics such as the notion of an infinite limit, the e-d definitions (for a better command of uniform versus pointwise continuity), error in local linear approximations, and integrability criteria
Includes more than 120 exercises, with a solution manual available to instructors
Includes supplementary material: sn.pub/extras