Fast Start Integral Calculus
Published on 20. September 2019
Book
Paperback/Softback
XIII, 191 pages
978-3-031-01293-8 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Illustrations
XIII, 191 p.
Dimensions
Height: 235 mm
Width: 191 mm
Thickness: 12 mm
Weight
399 gr
ISBN-13
978-3-031-01293-8 (9783031012938)
DOI
10.1007/978-3-031-02421-4
Schweitzer Classification
Other editions
Additional editions
Person
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.
Content
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.