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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.
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9780135756935 Calculus: Several Variables Plus MyLab Mathematics-- Access Card Package, 10/e
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9780135756928 Calculus: Several Variables
9780135732526 MyLab Mathematics with Pearson eText -- Standalone Access Card -- for Calculus: A Complete Course, 10/e
- Sequence, Series, and Power Series
- Vectors and Coordinate Geometry in 3-Space
- Arc length, Metric Spaces, and Applications
- Vector Functions and Curves
- Partial Differentiation
- Applications of Partial Derivatives
- Multiple Integration
- Vector Fields
- Vector Calculus
- Differential Forms and Exterior Calculus
- Ordinary Differential Equations
- More Topics in Differential Equations
- Appendix 1 Complex Numbers
- Appendix 2 Complex Functions
- Appendix 3 Continuous Functions
- Appendix 4 The Riemann Integral
- Appendix 5 Doing Calculus with Maple
- Appendix 6 Doing Calculus with Python
- Chapter 11 introduces a new concept of a metric space and its application to spherical trigonometry, including the concept of navigation on the surface of our spherical planet.
- Chapter 11 also presents Einstein's theory of special relativity, the conclusions of which follow from the selection of a particular metric for measuring distance in four-dimensional space-time.
- A new section on the introduction to the methods of the Calculus of Variations is included in Section 20.4.
- A new introduction to the open-source programming language Python, in Appendix VI, which can replace Maple or Mathematica as a free computer algebra system.