The Heart of Calculus
Explorations and Applications
- Authors:
- Philip M. Anselone, Oregon State University
- John Lee, Oregon State University
- Date Published: August 2015
- availability: Available
- format: Hardback
- isbn: 9780883857878
Hardback
Looking for an inspection copy?
Please email [email protected] to enquire about an inspection copy of this book
-
Targeting talented students who seek a deeper understanding of calculus and its applications, this book contains enrichment material for courses in first- and second-year calculus, differential equations, modelling, and introductory real analysis. Maintaining a high level of rigour whilst avoiding epsilons and deltas, the explorations, problems, and projects in the book impart a deeper understanding of the mathematical reasoning that lies at the heart of calculus and conveys its beauty and depth. The presentation is friendly and accessible to students at various levels of mathematical maturity, requiring only basic logical reasoning skills as a prerequisite. The sixteen largely independent chapters, divided equally between pure and applied mathematics, present material that includes fundamentals of differential calculus and celestial motion and gravitation, along with other significant topics chosen for their intrinsic interest, historical influence, and continuing importance.
Read more- Conveys the beauty and depth of calculus while imparting the mathematical reasoning at its heart
- Contains a wealth of enrichment material for a broad variety of calculus courses
- Valuable for beginning or seasoned instructors who wish to hone their pedagogical skills or gain new perspectives
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: August 2015
- format: Hardback
- isbn: 9780883857878
- length: 245 pages
- dimensions: 261 x 182 x 18 mm
- weight: 0.6kg
- availability: Available
Table of Contents
Preface
The foundation on which calculus stands
1. Critical points and graphing
2. Inverse functions
3. Exponential and logarithmic functions
4. Linear approximation and Newton's method
5. Taylor polynomial approximation
6. Global extreme values
7. Angular velocity and curvature
8. π and e are irrational
9. Hanging cables
10. The Buffon needle problem
11. Optimal location
12. Energy
13. Springs and pendulums
14. Kepler's laws of planetary motion
15. Newton's law of universal gravitation
16. From Newton to Kepler and beyond
Index.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email [email protected]
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×