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Advanced Calculus of a Single Variable by Tunc Geveci (Hardcover, 2016)

About this product

About this product

Product Information

This advanced undergraduate textbook is based on a one-semester course on single variable calculus that the author has been teaching at San Diego State University for many years. The aim of this classroom-tested book is to deliver a rigorous discussion of the concepts and theorems that are dealt with informally in the first two semesters of a beginning calculus course. As such, students are expected to gain a deeper understanding of the fundamental concepts of calculus, such as limits (with an emphasis on - definitions), continuity (including an appreciation of the difference between mere pointwise and uniform continuity), the derivative (with rigorous proofs of various versions of L'Hopital's rule) and the Riemann integral (discussing improper integrals in-depth, including the comparison and Dirichlet tests). 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.

Product Identifiers

Publisher
Springer International Publishing Ag
ISBN-13
9783319278063
eBay Product ID (ePID)
222093787

Product Key Features

Author
Tunc Geveci
Publication Name
Advanced Calculus of a Single Variable
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
2016
Type
Textbook
Number of Pages
382 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Item Weight
7155g

Additional Product Features

Title_Author
Tunc Geveci
Country/Region of Manufacture
Switzerland

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