Advanced Calculus of a Single Variable is popular PDF and ePub book, written by Tunc Geveci in 2016-03-30, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Advanced Calculus of a Single Variable can be Read Online from any device for your convenience.
Advanced Calculus of a Single Variable Book 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.
Detail Book of Advanced Calculus of a Single Variable PDF
- Author : Tunc Geveci
- Release : 30 March 2016
- Publisher : Springer
- ISBN : 9783319278070
- Genre : Mathematics
- Total Page : 382 pages
- Language : English
- PDF File Size : 18,9 Mb
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