by Andrew F. Rex and Martin Jackson
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This groundbreaking text combines the second and third semesters of calculus with the first and second semesters of calculus-based physics. Used successfully at the authors' school in a two-semester course, the text provides full integration of the math and physics. Through text and problems, the authors carefully develop the calculus so that it can be used in many physical applications. In turn, the physics provides examples for the development of the calculus concepts. As a result, students gain a full understanding of calculus and its relevance to physics.
Features
Author Bio
Rex, Andrew : University of Puget Sound
Jackson, Martin : University of Puget Sound
1. Functions and Vectors.
2. Derivatives and Their Applications in Kinematics.
3. Definite Integrals and Antiderivatives.
4. Kinematics and Curves in Two and Three Dimensions.
5. Newton's Laws of Motion.
6. Differential Equations.
7. Work and Line Integrals.
8. Evaluating Definite and Indefinite Integrals.
9. Systems of Particles, Momentum, and Collisions.
10. Rotational Motion and the Cross Product.
11. Sequences and Series.
12. Oscillations and Second-Order Differential Equations.
13. Functions of More Than One Variable.
14. Multiple Integrals.
15. Gravitation.
16. Electric Charges and Forces.
17. Vector Fields and Electric Fields.
18. Partial Derivatives, Gradients, and Electric Potential.
19. Capacitors, Dielectrics, and Electric Current.
20. Optimization.
21. DC Circuits.
22. Line Integrals.
23. Gauss's Law and Surface Integrals.
24. Magnetic Fields I
25. Magnetic Fields II; Divergence and Curl.
26. Faraday's Law and Inductance.
27. Vector Calculus and Maxwell's Equations.
28. The Bohr Atom.
Appendices.
Answers to Selected Odd-Numbered Problems.
Index.
Andrew F. Rex and Martin Jackson
ISBN13: 978-0201473971This groundbreaking text combines the second and third semesters of calculus with the first and second semesters of calculus-based physics. Used successfully at the authors' school in a two-semester course, the text provides full integration of the math and physics. Through text and problems, the authors carefully develop the calculus so that it can be used in many physical applications. In turn, the physics provides examples for the development of the calculus concepts. As a result, students gain a full understanding of calculus and its relevance to physics.
Features
Author Bio
Rex, Andrew : University of Puget Sound
Jackson, Martin : University of Puget Sound
Table of Contents
1. Functions and Vectors.
2. Derivatives and Their Applications in Kinematics.
3. Definite Integrals and Antiderivatives.
4. Kinematics and Curves in Two and Three Dimensions.
5. Newton's Laws of Motion.
6. Differential Equations.
7. Work and Line Integrals.
8. Evaluating Definite and Indefinite Integrals.
9. Systems of Particles, Momentum, and Collisions.
10. Rotational Motion and the Cross Product.
11. Sequences and Series.
12. Oscillations and Second-Order Differential Equations.
13. Functions of More Than One Variable.
14. Multiple Integrals.
15. Gravitation.
16. Electric Charges and Forces.
17. Vector Fields and Electric Fields.
18. Partial Derivatives, Gradients, and Electric Potential.
19. Capacitors, Dielectrics, and Electric Current.
20. Optimization.
21. DC Circuits.
22. Line Integrals.
23. Gauss's Law and Surface Integrals.
24. Magnetic Fields I
25. Magnetic Fields II; Divergence and Curl.
26. Faraday's Law and Inductance.
27. Vector Calculus and Maxwell's Equations.
28. The Bohr Atom.
Appendices.
Answers to Selected Odd-Numbered Problems.
Index.