Calculus of One Variable - Brossura

Hirst, Keith E.

Brossura

ISBN 10: 1852339403 ISBN 13: 9781852339401

Casa editrice: Springer London, 2010

Riassunto

Adopts a user-friendly approach, with an emphasis on worked examples and exercises, rather than abstract theory

The computer algebra and graphical package MAPLE is used to illustrate many of the ideas and provides an additional aid to teaching and learning

Supplementary material, including detailed solutions to exercises and MAPLE worksheets, is available via the web

Su questo libro

Informazioni sull'autore

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.

Dalla quarta di copertina

Understanding the techniques and applications of calculus is at the heart of mathematics, science and engineering. This book presents the key topics of introductory calculus through an extensive, well-chosen collection of worked examples, covering;

algebraic techniques

functions and graphs

an informal discussion of limits

techniques of differentiation and integration

Maclaurin and Taylor expansions

geometrical applications

Aimed at first-year undergraduates in mathematics and the physical sciences, the only prerequisites are basic algebra, coordinate geometry and the beginnings of differentiation as covered in school. The transition from school to university mathematics is addressed by means of a systematic development of important classes of techniques, and through careful discussion of the basic definitions and some of the theorems of calculus, with proofs where appropriate, but stopping short of the rigour involved in Real Analysis.

The influence of technology on the learning and teaching of mathematics is recognised through the use of the computer algebra and graphical package MAPLE to illustrate many of the ideas. Readers are also encouraged to practice the essential techniques through numerous exercises which are an important component of the book. Supplementary material, including detailed solutions to exercises and MAPLE worksheets, is available via the web.

 

Dettagli dell'edizione

• Editore: Springer London
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 1852339403
• ISBN 13: 9781852339401
• Rilegatura: Copertina flessibile
• Numero di pagine: 280
• Contatto del produttore: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Germania