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Schaum Outlines Calculus (5E) by Frank Ayres, Elliott Mendelson

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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
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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,[1] 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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