Calculus of One Variable

K. E. Hirst

ISBN 10: 1852339403 / ISBN 13: 9781852339401

Published by Springer, Springer Okt 2005, 2005

About this Item

This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 280 pp. Englisch.

Seller Inventory # 9781852339401

Bibliographic Details

• Title: Calculus of One Variable
• Publisher: Springer, Springer Okt 2005
• Publication Date: 2005
• Language: English
• ISBN 10: 1852339403
• ISBN 13: 9781852339401
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 254W x 178H x 16D millimeters 254 millimeters width by 178 millimeters height by 16 millimeters depth
• Weight: 532 grams

About this title

Synopsis

The development of the di?erential calculus was one of the major achievements of seventeenth century European mathematics, originating in the work of N- ton, Leibniz and others. Integral calculus can be traced back to the work of Archimedes in the third century B. C. Since its inception, calculus has dev- oped in two main directions. One is the growth of applications and associated techniques,indiverse?eldssuchasphysics,engineering,economics,probability and biology. The other direction is that of analytical foundations, where the intuitive and largely geometrical approach is replaced by an emphasis on logic and the development of an axiomatic basis for the real number system whose properties underpin many of the results of calculus. This approach occupied many mathematicians through the eighteenth and nineteenth centuries, c- minating in the work of Dedekind and Cantor, leading into twentieth century developments in Analysis and Topology. We can learn much about calculus by studying its history, and a good starting point is the St Andrews’ History of Mathematics website www-history. mcs. st-and. ac. uk/history/ Thisbookisdesignedforbeginninguniversitystudents,boththosestudying mathematics as a major subject, and those whose main specialism requires the use and understanding of calculus. In the latter case we would expect that lecturers would customise the treatment with applications from the relevant subject area. Thepre-universityschoolmathematicscurriculaofmostEuropeancountries all include some calculus, and this book is intended to provide, among other things, a transition between school and university calculus. In some countries suchastheU. K.

About the Author

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.