Calculus : a complete course / Robert A. Adams, Christopher Essex.

Förbättrade beskrivningar från Syndetics:

Proven in North America and abroad, this classic text has earned a reputation for excellent accuracy and mathematical rigour. Previous editions have been praised for providing complete and precise statements of theorems, using geometric reasoning in applied problems, and for offering a range of applications across the sciences. Written in a clear, coherent, and readable form, Calculus: A Complete Course makes student comprehension a clear priority.

 

This seventh edition features a new co-author, Dr. Christopher Essex, who has been invited to contribute his unique style and approach to the subject material. Instructors and students will appreciate revised exercises, greater emphasis on differential equations, and new pedagogical features.

Innehållsförteckning levererad av Syndetics

• Preface
• To the Student
• To the Instructor
• Acknowledgements
• What Is Calculus?
• Preliminaries
• Chapter 1 Limits and Continuity
• Chapter 2 Differentiation
• Chapter 3 Transcendental Functions
• Chapter 4 Some Applications of Derivatives
• Chapter 5 Integration
• Chapter 6 Techniques of Integration
• Chapter 7 Applications of Integration
• Chapter 8 Conics, Parametric Curves, and Polar Curves
• Chapter 9 Sequences, Series, and Power Series
• Chapter 10 Vectors and Coordinate Geometry in 3-Space
• Chapter 11 Vector Functions and Curves
• Chapter 12 Partial Differentiation
• Chapter 13 Applications of Partial Derivatives
• Chapter 14 Multiple Integration
• Chapter 15 Vector Fields
• Chapter 16 Vector Calculus
• Chapter 17 Ordinary Differential Equations
• Answers to Odd-Numbered Exercises
• Appendix I Complex Numbers
• Appendix II Complex Functions
• Appendix III Continuous Functions
• Appendix IV The Riemann Integral
• Appendix V Doing Calculus with Maple
• Index