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Calculus of One Variable / by K.E. Hirst.
- Format:
- Book
- Author/Creator:
- Hirst, Keith E. (Keith Edwin), author.
- Series:
- Springer undergraduate mathematics series 1615-2085
- Springer Undergraduate Mathematics Series, 1615-2085
- Language:
- English
- Subjects (All):
- Functions of real variables.
- Real Functions.
- Local Subjects:
- Real Functions.
- Physical Description:
- 1 online resource.
- Edition:
- First edition 2006.
- Contained In:
- Springer Nature eBook
- Place of Publication:
- London : Springer London : Imprint: Springer, 2006.
- System Details:
- text file PDF
- Summary:
- 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. .
- Contents:
- 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.
- Other Format:
- Printed edition:
- ISBN:
- 9781846282225
- Access Restriction:
- Restricted for use by site license.
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