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Fast Start Integral Calculus: Synthesis Lectures on Mathematics & Statistics

Autor Daniel Ashlock
en Limba Engleză Paperback – 20 sep 2019
This book introduces integrals, the fundamental theorem of calculus, initial value problems, and Riemann sums. It introduces properties of polynomials, including roots and multiplicity, and uses them as a framework for introducing additional calculus concepts including Newton's method, L'Hôpital's Rule, and Rolle's theorem. Both the differential and integral calculus of parametric, polar, and vector functions are introduced. The book concludes with a survey of methods of integration, including u-substitution, integration by parts, special trigonometric integrals, trigonometric substitution, and partial fractions.
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Specificații

ISBN-13: 9783031012938
ISBN-10: 3031012933
Pagini: 191
Ilustrații: XIII, 191 p.
Dimensiuni: 191 x 235 mm
Greutate: 0.37 kg
Editura: Springer International Publishing
Colecția Springer
Seria Synthesis Lectures on Mathematics & Statistics

Locul publicării:Cham, Switzerland

Cuprins

Preface.- Acknowledgments.- Integration, Area, and Initial Value Problems.- Parametric, Polar, and Vector Functions.- The Arithmetic, Geometry, and Calculus of Polynomials.- Methods of Integration I.- Methods of Integration II.- Author's Biography.- Index.

Notă biografică

Dr. Daniel Ashlock is a professor of mathematics at the University of Guelph in Ontario, Canada. Dr. Ashlock received his Ph.D. in mathematics from Caltech with a focus in algebraic combinatorics. He was employed at Iowa State University before moving to Canada. Dr. Ashlock works on representation issues in evolutionary computation including games, optimization, bioinformatics, and theoretical biology. He holds the Bioinformatics Chair in the Department of Mathematics and Statistics at Guelph and serves on the editorial board of the IEEE Transactions on Evolutionary Computation, the IEEE Transactions on Games, The IEEE/ACM Transactions on Bioinformatics and Computational Biology, Biosystems, and Game and Puzzle Design. Dr. Ashlock serves on the IEEE Computational Intelligence Societies technical committees on games and bioinformatics and biomedical engineering.