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9781108408196: How to Integrate It: A Practical Guide to Finding Elementary Integrals

Synopsis

While differentiating elementary functions is merely a skill, finding their integrals is an art. This practical introduction to the art of integration gives readers the tools and confidence to tackle common and uncommon integrals. After a review of the basic properties of the Riemann integral, each chapter is devoted to a particular technique of elementary integration. Thorough explanations and plentiful worked examples prepare the reader for the extensive exercises at the end of each chapter. These exercises increase in difficulty from warm-up problems, through drill examples, to challenging extensions which illustrate such advanced topics as the irrationality of π and e, the solution of the Basel problem, Leibniz's series and Wallis's product. The author's accessible and engaging manner will appeal to a wide audience, including students, teachers and self-learners. The book can serve as a complete introduction to finding elementary integrals, or as a supplementary text for any beginning course in calculus.

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Book Description

This practical guide demystifies the art of integration. Each chapter explains a particular technique of elementary integration through thorough explanations, worked examples and numerous exercises ranging from the routine to the challenging. It may serve as a complete introduction, or as a supplementary text for any beginning course in calculus.

About the Author

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).

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  • PublisherCambridge University Press
  • Publication date2017
  • ISBN 10 1108408192
  • ISBN 13 9781108408196
  • BindingPaperback
  • LanguageEnglish
  • Edition number1
  • Number of pages378

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Paperback. Condition: new. Paperback. While differentiating elementary functions is merely a skill, finding their integrals is an art. This practical introduction to the art of integration gives readers the tools and confidence to tackle common and uncommon integrals. After a review of the basic properties of the Riemann integral, each chapter is devoted to a particular technique of elementary integration. Thorough explanations and plentiful worked examples prepare the reader for the extensive exercises at the end of each chapter. These exercises increase in difficulty from warm-up problems, through drill examples, to challenging extensions which illustrate such advanced topics as the irrationality of p and e, the solution of the Basel problem, Leibniz's series and Wallis's product. The author's accessible and engaging manner will appeal to a wide audience, including students, teachers and self-learners. The book can serve as a complete introduction to finding elementary integrals, or as a supplementary text for any beginning course in calculus. This practical guide demystifies the art of integration. Each chapter explains a particular technique of elementary integration through thorough explanations, worked examples and numerous exercises ranging from the routine to the challenging. It may serve as a complete introduction, or as a supplementary text for any beginning course in calculus. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781108408196

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