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## Approximately Calculus (Hardback)"Is there always a prime number between ## $23.95 |

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Please contact us if you've got questions about this product.## Condition

**VERY GOOD:** This textbook is in excellent condition, with slightly bent corners bringing the rating down from like new. The book’s pages are free of writing and were printed on acid-free paper.

## Description

From the back cover: “The theme of the book is approximations. Calculus is a powerful tool because it allows us to approximate complicated functions with simpler ones. Indeed, replacing a function locally with a linear—or higher order—approximation is at the heart of calculus. The real star of the book, though, is the task of approximating the number of primes up to a number *x*. This leads to the famous Prime Number Theorem—and to the answers to the two questions about primes.

“While emphasizing the role of approximations in calculus, most major topics are addressed, such as derivatives, integrals, the Fundamental Theorem of Calculus, sequences, series, and so on. However, our particular point of view also leads us to many unusual topics: curvature, Padé approximations, public key cryptography, and an analysis of the logistic equation, to name a few.

“The reader takes and active role in developing the material by solving problems. Most topics are broken down into a series of manageable problems, which guide you to an understanding of the important ideas. There is also ample exposition to fill in background material and to get you thinking appropriately about the concepts.

“*Approximately Calculus* is intended for the reader who has already had an introduction to calculus, but wants to engage the concepts and ideas at a deeper level. It is suitable as a text for an honors or alternative second semester calculus course.”

**BRIEF CONTENTS**

- Preface
- 1. Patterns and Induction
- 2. Divisibility
- 3. Primes
- 4. Derivatives and Approximations of Functions
- 5. Antiderivatives and Integration
- 6. Distribution of Primes
- 7. Log, Exponential, and the Inverse Trigonometric Functions
- 8. The Mean Value Theorem and Approximations
- 9. Linearization Topics
- 10. Defining Integrals, Areas, and Arclengths
- 11. Improper Integrals and Techniques of Integration
- 12. The Prime Number Theorem
- 13. Local Approximation of Functions and Integral Estimations
- 14. Sequences and Series
- 15. Power Series and Taylor Series
- 16. More On Series
- 17. Limits of Functions
- 18. Differential Equations
- 19. Logical Arguments
- Hints of Selected Problems
- Bibliography
- Index

## Details

- SKU:
- 2050
- Subject:
- Calculus
- Author:
- Shahriari, Shahriar
- Publisher:
- American Mathematical Society
- Publish Date:
- 2006 (First Printing)
- Format:
- Hardback
- Weight (pounds):
- 1.51
- Dimensions (W”xL”xH”):
- 7.2″x10.3″x0.8″
- ISBN-13:
- 9780821837504
- ISBN-10:
- 0821837508
- Grade Level:
- College

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