Calculus of One Variable

2006
ISBN: 978-1-85233-940-1
Verlag: Springer

Buch, Englisch, 268 Seiten, Format (B × H): 178 mm x 254 mm, Gewicht: 532 g

Reihe: Springer Undergraduate Mathematics Series

This user-friendly introduction to the methods of differential and integral calculus of one real variable, eases the transition from high school to university math. It presents new ideas in the context of existing mathematical experience, building on students’ A-level knowledge and extending it to the level encountered in first year degree courses in mathematics and the physical sciences.

The emphasis is on helping readers to understand the critical ideas and developing their manipulative skills, so topics are explained using worked examples and exercises.

Zielgruppe

Lower undergraduate

Autoren/Hrsg.

Hirst, K. E.

Hirst, Keith E.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
• Mathematik | Informatik Mathematik Mathematische Analysis Elementare Analysis und Allgemeine Begriffe

Inhaltsverzeichnis

Functions and Graphs.- Limits of Functions.- Differentiation.- Techniques of Differentiation.- Applications of Differentiation.- Maclaurin and Taylor Expansions.- Integration.- Integration by Parts.- Integration by Substitution.- Integration of Rational Functions.- Geometrical Applications of Integration.

Über Autor(innen)

Keith Hirst is an experienced author and lecturer, with many years’ experience teaching undergraduate courses. His research interests include Mathematics Education and Teaching Methods in Higher Education, with particular emphasis on the school / university interface. Keith also researched the area of learning problems in calculus as part of an investigation into undergraduates’ conceptions of mathematical ideas. In 2000, he was awarded one of the first prestigious National Teaching Fellowships by the Institute of Learning and Teaching, to develop a database of undergraduate teaching resources.