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.
Similar content being viewed by others
Table of contents (16 chapters)
-
Front Matter
-
Back Matter
Authors and Affiliations
About the author
Peter R. Mercer is a Full Professor of Mathematics at Buffalo State University. He serves as an Editor for the journals Journal of Mathematical Inequalities, and he have over 50 publications. He serves as an Associate Editor for The College Mathematics Journal and Australian Journal of Mathematical Analysis.
Accessibility Information
PDF accessibility summary
This PDF does not fully comply with PDF/UA standards, but does feature limited screen reader support, described non-text content (images, graphs), bookmarks for easy navigation and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at [email protected].
EPUB accessibility summary
This ebook is designed with accessibility in mind, aiming to meet the ePub Accessibility 1.0 AA and WCAG 2.0 Level AA standards. Its features include described images and other non-text content, screenreader-friendly navigation and accessible math. Math is represented either as MathML, LaTeX or in images. If math is represented as image, Alt Text might not be present. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at [email protected].
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