Advanced Calculus Of A Single Variable PDF
It is an amazing Mathematics book written by Tunc Geveci and published by Springer. This book was released on 30 March 2016 with total pages 382. Read book in PDF, EPUB and Kindle directly from your devices anywhere anytime. Click Download button to get Advanced Calculus of a Single Variable book now. This site is like a library, Use search box to get ebook that you want.
- Author : Tunc Geveci
- Release Date : 30 March 2016
- Publisher : Springer
- Genre : Mathematics
- Pages : 382
- ISBN 13 : 9783319278070
- Total Download : 322
- File Size : 41,5 Mb
Advanced Calculus of a Single Variable PDF Summary
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 ε-δ definitions), continuity (including an appreciation of the difference between mere pointwise and uniform continuity), the derivative (with rigorous proofs of various versions of L’Hôpital’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.