(eBook PDF) Foundations of Analysis (Pure and Applied Undergraduate Texts: Sally) – Digital Ebook – Instant Delivery Download
Product details:
- ISBN-10 : 0821889842
- ISBN-13 : 978-0821889848
- Author: Joseph L. Taylor
Analysis plays a crucial role in the undergraduate curriculum. Building upon the familiar notions of calculus, analysis introduces the depth and rigor characteristic of higher mathematics courses. Foundations of Analysis has two main goals. The first is to develop in students the mathematical maturity and sophistication they will need as they move through the upper division curriculum. The second is to present a rigorous development of both single and several variable calculus, beginning with a study of the properties of the real number system. The presentation is both thorough and concise, with simple, straightforward explanations. The exercises differ widely in level of abstraction and level of difficulty. They vary from the simple to the quite difficult and from the computational to the theoretical.
Table contents:
Chapter 1. What is Calculus? The Six Pillars
Chapter 2. Predicting the Future: The SIR Model
Chapter 3. Close is Good Enough
Chapter 4. Track the Changes
Chapter 5. Computing and Using Derivatives (What Goes Up Has to Stop Before It Comes Down)
Chapter 6. Models of Growth and Oscillation
Chapter 7. The Whole Is the Sum of the Parts
Chapter 8. The Fundamental Theorem of Calculus (One Step at a Time)
Chapter 9. Methods of Integration
Chapter 10. One Variable at a Time
Chapter 11. Taylor Series
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