Overview
- Offers undergraduates a self-contained introduction to advanced topics not covered in a standard calculus sequence
- Appeals to students with an engaging and enthusiastic writing style, making otherwise complex concepts accessible
- Covers a range of interesting topics across the field with approaches based on those found in recent literature
Part of the book series: Compact Textbooks in Mathematics (CTM)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
About this book
This textbook offers undergraduates a self-contained introduction to advanced topics not covered in a standard calculus sequence. The author’s enthusiastic and engaging style makes this material, which typically requires a substantial amount of study, accessible to students with minimal prerequisites. Readers will gain a broad knowledge of the area, with approaches based on those found in recent literature, as well as historical remarks that deepen the exposition. Specific topics covered include the binomial theorem, the harmonic series, Euler's constant, geometric probability, and much more. Over the fifteen chapters, readers will discover the elegance of calculus and the pivotal role it plays within mathematics.
A Compact Capstone Course in Classical Calculus is ideal for exploring interesting topics in mathematics beyond the standard calculus sequence, particularly for undergraduates who may not be taking more advanced math courses. It would also serve as a useful supplement for a calculus course and a valuable resource for self-study. Readers are expected to have completed two one-semester college calculus courses.
Keywords
Table of contents (16 chapters)
-
Front Matter
-
Back Matter
Authors and Affiliations
About the author
Bibliographic Information
Book Title: A Compact Capstone Course in Classical Calculus
Authors: Peter R. Mercer
Series Title: Compact Textbooks in Mathematics
DOI: https://doi.org/10.1007/978-3-031-43914-8
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023
Softcover ISBN: 978-3-031-43916-2Published: 13 January 2024
eBook ISBN: 978-3-031-43914-8Published: 20 November 2023
Series ISSN: 2296-4568
Series E-ISSN: 2296-455X
Edition Number: 1
Number of Pages: XI, 157
Number of Illustrations: 43 b/w illustrations
Topics: Mathematics, general, Real Functions