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**About this book :- **
**Schaum Outlines Calculus (5th Edition)** written by
** Frank Ayres, Jr. and Elliott Mendelson **.

Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.

This Schaum's Outline gives you Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applications

Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores!

**Book Detail :- **
** Title: ** Calculus: One and Several Variables
** Edition: ** 10th
** Author(s): ** Frank Ayres, Elliott Mendelson
** Publisher: ** McGraw-Hill
** Series: ** Schaum's Outline Series
** Year: ** 2008
** Pages: ** 549
** Type: ** PDF
** Language: ** English
** ISBN: ** 9780071508612,0071508619
** Country: ** US
** Get this book from Amazon**

**About Author :- **

The author Frank Ayres, Jr. was a mathematics professor, best known as a famous author for the popular Schaum's Outlines series.

Ayres earned his bachelor of science degree from Washington College, Maryland and his master's and doctoral degrees from the University of Chicago.

He taught during 1921–4 at Ogden College and another four years at Texas A&M before coming to Dickinson College in 1928. He was promoted to associate professor in June, 1935. In 1943 he was named the Susan Powers Hoffman Professor of Mathematics. From 1938 until his retirement in June, 1958, he served as chairman of the mathematics department. Ayres was also an instructor in the Army Air Corps program at the College, 1943–44, and authored Basic Mathematics of Aviation, he wrote seven textbooks.

The author Elliott Mendelson is an American logician. He was a professor of mathematics at Queens College of the City University of New York, and the Graduate Center, CUNY. He was Jr. Fellow, Society of Fellows, Harvard University.

Mendelson taught mathematics at the college level for more than 30 years, and is the author of books on logic, philosophy of mathematics, calculus, game theory and mathematical analysis.

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**Book Contents :- **
**Schaum Outlines Calculus (5th Edition)** written by
** Frank Ayres, Jr. and Elliott Mendelson **
cover the following topics.

1. Linear Coordinate Systems. Absolute Value. Inequalities

2. Rectangular Coordinate Systems

3. Lines

4. Circles

5. Equations and Their Graphs

6. Functions

7. Limits

8. Continuity

9. The Derivative

10. Rules for Differentiating Functions

11. Implicit Differentiation

12. Tanglmt and Normal Lines

13. Law Ilf the Mean. Increasing and Decreasing Functions

14. Maximum and Minimum Values

15. Curve Sketching. Concavity, Symmetry

16. Review of Trigonometry

17. Differentiation of Trigonometric Functions

18. Invelse Trigonometric Functions

19. Rectilinear and Circular Motion

20. Related Rates

21. Diffe!rentials. Newton's Method

22. Antiderivatives

23. The Definite Integral. Area Under a Curve

24. The Fundamental Theorem of Calculus

25. The Natural Logarithm

26. Exponential and Logarithmic Functions

27. L'Hopital's Rule

28. Exponential Growth and Decay

29. Applications of Integration I: Area and Arc Length

30. Applications of Integration II: Volume

31. Techniques of Integration I: Integration by Parts

32. Techniques of Integration II:Trigonometric Integrands and

33. Techniques of Integration III: Integration by Partial Fractions

34. Techniques of Integration IV: Miscellaneous Substitutions

35. Improper Integrals

36. Applilcations of Integration III: Area of a Surface of Revolution

37. Parametric Representation of Curves

38. Curvature

39. Plane Vectors

40. Curvilinear Motion

41. Polar Coordinates

42. Infinite Sequences

43. Infinite Series

44. Series with Positive Terms. The Integral Test. Comparison Tests

45. Altel'nating Series. Absolute and Conditional Convergence.

46. Power Series

47. Taylor and Maclaurin Series. Taylor's Formula with Remainder

48. Partial Derivatives

49. Total Differential.Differentiability.Chain Rules

50. Space Vecturs

51. Surfaces and Curves in Space

52. Directional Derivatives. Maximum and Minimum Values

53. Vector Differentiation and Integration

54. Double and Iterated Integrals

55. Centroids and Moments of Iriertia of Plane Areas

56. Double Integration Applied to Volume Under a Surface and the Area of a Curved Surface

57. Triple Integrals

58. Masses of Variable Density

59. Differential Equations of First and Second Order

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