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Calculus of One Variable

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Adopts a user-friendly approach, with an emphasis on worked examples and exercises, rather than abstract theory The computer algebra and graphical package MAPLE is used to illustrate many of the ideas and provides an additional aid to teaching and learning Supplementary material, including detailed solutions to exercises and MAPLE worksheets, is available via the web

Author(s): Hirst K.E.
Series: Springer Undergraduate Mathematics Series
Publisher: Springer
Year: 2006

Language: English
Pages: 267

Cover......Page 1
Springer Undergraduate Mathematics Series......Page 2
Calculus of One
Variable......Page 4
ISBN-13: 9781852339401......Page 5
Preface......Page 6
Contents......Page 10
1. Functions and Graphs......Page 14
2. Limits of Functions......Page 60
3. Differentiation......Page 92
4. Techniques of Differentiation......Page 106
5. Applications of Differentiation......Page 124
6. Maclaurin and Taylor Expansions......Page 146
7. Integration......Page 166
8. Integration by Parts......Page 186
9. Integration by Substitution......Page 198
10. Integration of Rational Functions......Page 214
11. Geometrical Applications of Integration......Page 230
Answers to Exercises......Page 254
Index......Page 278