G. Lewingdon ParsonsCambridge University Press, 7/28/2016EAN 9781316612644, ISBN10: 1316612643Paperback, 138 pages, 17.8 x 12.7 x 0.8 cmLanguage: EnglishOriginally published in 1926, this book was written to provide mathematical and scientific students with an introduction to the subject of integral calculus. The text was largely planned around the syllabus for the Higher Certificate Examination. A short historical survey is included. This book will be of value to anyone with an interest in integral calculus, mathematics and the history of education.PrefaceHistorical sketch1. Definitions and standard forms2. Integration by substitution, or changing the subject of integration3. Integration by parts4. Rational algebraic fractions5. Trigonometrical integrals and formulae of reduction6. The fundamental 'inversion theorem'. Application of calculus to finding of areas7. Further applications to geometrysectorial areas, volumes of revolution, finding the length of a curve8. Application to problem of finding centres of gravity9. Further applications to mechanics. Rigid dynamics10. Differential equations. A few typesAnswers to examples.
