Practical guide demystifying the art of integration for beginning calculus students through thorough explanations, examples and exercises.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Seán M. Stewart is the co-founder and principal teaching fellow at Omegadot Tuition, Sydney. He has had over eighteen years of experience teaching mathematics and physics at both the secondary and tertiary levels. He is a member of numerous professional associations and societies in mathematics and physics. In 2004, he won the Petroleum Institute Outstanding Faculty Award for Teaching. He has written numerous research articles and co-authored the book Blackbody Radiation: A History of Thermal Radiation Computational Aids and Numerical Methods (2016).
Inhaltsangabe
1. The Riemann integral 2. Basic properties of the definite integral - Part I 3. Some basic standard forms 4. Basic properties of the definite integral - Part II 5. Standard forms 6. Integration by substitution 7. Integration by parts 8. Trigonometric integrals 9. Hyperbolic integrals 10. Trigonometric and hyperbolic substitutions 11. Integrating rational functions by partial fraction decomposition 12. Six useful integrals 13. Inverse hyperbolic functions and integrals leading to them 14. Tangent half-angle substitution 15. Further trigonometric integrals 16. Further properties for definite integrals 17. Integrating inverse functions 18. Reduction formulae 19. Some other special techniques and substitutions 20. Improper integrals 21. Two important improper integrals Appendix A. Partial fractions Appendix B. Answers to selected exercises Index.
1. The Riemann integral 2. Basic properties of the definite integral - Part I 3. Some basic standard forms 4. Basic properties of the definite integral - Part II 5. Standard forms 6. Integration by substitution 7. Integration by parts 8. Trigonometric integrals 9. Hyperbolic integrals 10. Trigonometric and hyperbolic substitutions 11. Integrating rational functions by partial fraction decomposition 12. Six useful integrals 13. Inverse hyperbolic functions and integrals leading to them 14. Tangent half-angle substitution 15. Further trigonometric integrals 16. Further properties for definite integrals 17. Integrating inverse functions 18. Reduction formulae 19. Some other special techniques and substitutions 20. Improper integrals 21. Two important improper integrals Appendix A. Partial fractions Appendix B. Answers to selected exercises Index.
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