Calculus: A complete course; Robert A. Adams; 2003
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Calculus: A complete course Upplaga 5

av Robert A. Adams
Adams' "Calculus" is aimed at the upper end of the three semester calculus course.
Classroom proven in North America and abroad, this classic text has been praised for its high level of mathematical integrity including complete and precise statements of theorems, use of geometric reasoning in applied problems, and the diverse range of applications across the sciences. The Fifth Edition features the inclusion of numerous Maple examples throughout the text as well as more integrated coverage of differential equations.
Contents
Preface.
Preliminaries.
1. Limits and Continuity.
2. Differentiation.
3.Transcendental Functions.
4. Some Applications of Derivatives.
5. Integration.
6. Techniques of Integration.
7. Applications of Integration.
8. Conics, Parametric Curves, and Polar Curves.
9. Sequences, Series, and Power Series.
10. Vectors and Coordinate Geometry in 3-Space.
11. Vector Functions and Curves.
12. Partial Differentiation.
13. Applications of Partial Derivatives.
14. Multiple Integration.
15. Vector Fields.
16. Vector Calculus.
Appendix I. Complex Numbers.
Appendix II. Continuous Functions.
Appendix III. The Rieman Integral.
Appendix IV. Differential Equations.
Appendix V. Doing Calculus with Maple.
Answers to Odd-Numbered Exercises.
Index.
Adams' "Calculus" is aimed at the upper end of the three semester calculus course.
Classroom proven in North America and abroad, this classic text has been praised for its high level of mathematical integrity including complete and precise statements of theorems, use of geometric reasoning in applied problems, and the diverse range of applications across the sciences. The Fifth Edition features the inclusion of numerous Maple examples throughout the text as well as more integrated coverage of differential equations.
Contents
Preface.
Preliminaries.
1. Limits and Continuity.
2. Differentiation.
3.Transcendental Functions.
4. Some Applications of Derivatives.
5. Integration.
6. Techniques of Integration.
7. Applications of Integration.
8. Conics, Parametric Curves, and Polar Curves.
9. Sequences, Series, and Power Series.
10. Vectors and Coordinate Geometry in 3-Space.
11. Vector Functions and Curves.
12. Partial Differentiation.
13. Applications of Partial Derivatives.
14. Multiple Integration.
15. Vector Fields.
16. Vector Calculus.
Appendix I. Complex Numbers.
Appendix II. Continuous Functions.
Appendix III. The Rieman Integral.
Appendix IV. Differential Equations.
Appendix V. Doing Calculus with Maple.
Answers to Odd-Numbered Exercises.
Index.
Upplaga: 5e upplagan
Utgiven: 2003
ISBN: 9780201791310
Förlag: Addison Wesley
Format: Inbunden
Språk: Engelska
Sidor: 1280 st
9 upplagor
Upplaga 10 (2021)
från 775 kr
Upplaga 9 (2018)
från 365 kr
Upplaga 8 (2013)
från 239 kr
Upplaga 7 (2009)
från 159 kr
Visa alla upplagor
Adams' "Calculus" is aimed at the upper end of the three semester calculus course.
Classroom proven in North America and abroad, this classic text has been praised for its high level of mathematical integrity including complete and precise statements of theorems, use of geometric reasoning in applied problems, and the diverse range of applications across the sciences. The Fifth Edition features the inclusion of numerous Maple examples throughout the text as well as more integrated coverage of differential equations.
Contents
Preface.
Preliminaries.
1. Limits and Continuity.
2. Differentiation.
3.Transcendental Functions.
4. Some Applications of Derivatives.
5. Integration.
6. Techniques of Integration.
7. Applications of Integration.
8. Conics, Parametric Curves, and Polar Curves.
9. Sequences, Series, and Power Series.
10. Vectors and Coordinate Geometry in 3-Space.
11. Vector Functions and Curves.
12. Partial Differentiation.
13. Applications of Partial Derivatives.
14. Multiple Integration.
15. Vector Fields.
16. Vector Calculus.
Appendix I. Complex Numbers.
Appendix II. Continuous Functions.
Appendix III. The Rieman Integral.
Appendix IV. Differential Equations.
Appendix V. Doing Calculus with Maple.
Answers to Odd-Numbered Exercises.
Index.
Adams' "Calculus" is aimed at the upper end of the three semester calculus course.
Classroom proven in North America and abroad, this classic text has been praised for its high level of mathematical integrity including complete and precise statements of theorems, use of geometric reasoning in applied problems, and the diverse range of applications across the sciences. The Fifth Edition features the inclusion of numerous Maple examples throughout the text as well as more integrated coverage of differential equations.
Contents
Preface.
Preliminaries.
1. Limits and Continuity.
2. Differentiation.
3.Transcendental Functions.
4. Some Applications of Derivatives.
5. Integration.
6. Techniques of Integration.
7. Applications of Integration.
8. Conics, Parametric Curves, and Polar Curves.
9. Sequences, Series, and Power Series.
10. Vectors and Coordinate Geometry in 3-Space.
11. Vector Functions and Curves.
12. Partial Differentiation.
13. Applications of Partial Derivatives.
14. Multiple Integration.
15. Vector Fields.
16. Vector Calculus.
Appendix I. Complex Numbers.
Appendix II. Continuous Functions.
Appendix III. The Rieman Integral.
Appendix IV. Differential Equations.
Appendix V. Doing Calculus with Maple.
Answers to Odd-Numbered Exercises.
Index.
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