| Description |
1 online resource |
| Series |
Compact textbooks in mathematics |
|
Compact textbooks in mathematics.
|
| Contents |
Chapter 1. Prelude: Vìetes Product -- Chapter. 2. Calculus Warm-up -- Chapter. 3. The Probability Integral & Gamma Function -- Chapter. 4. Walliss Product -- Chapter. 5. Interlude: How Big is a Ball ? -- Chapter. 6. Convexity Tangents -- Chapter. 7. Some Important Series -- Chapter. 8. Geometric Probability -- Chapter. 9. Convexity Chords -- Chapter. 10. Interlude: Minkowski Distance -- Chapter. 11. The Basel Problem -- Chapter. 12. Interlude: Beyond Basel -- Chapter. 13. Stirlings Formula -- Chapter. 14. Eulers Sine Product -- Chapter. 15. Postlude: Stirlings Formula Again -- Index |
| Summary |
This textbook offers undergraduates a self-contained introduction to advanced topics not covered in a standard calculus sequence. The authors 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 |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Online resource; title from PDF title page (SpringerLink, viewed December 7, 2023) |
| Subject |
Calculus.
|
|
calculus.
|
|
Calculus.
|
| Genre/Form |
Electronic books
|
| Form |
Electronic book
|
| ISBN |
9783031439148 |
|
3031439147 |
|
