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03151nam a22004455i 4500 |
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978-1-84628-222-5 |
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DE-He213 |
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20151204172614.0 |
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100301s2006 xxk| s |||| 0|eng d |
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|a 9781846282225
|9 978-1-84628-222-5
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|a 10.1007/1-84628-222-5
|2 doi
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|d GrThAP
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|a QA331.5
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|a PBKB
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|a MAT034000
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|a MAT037000
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|a 515.8
|2 23
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|a Hirst, Keith E.
|e author.
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|a Calculus of One Variable
|h [electronic resource] /
|c by Keith E. Hirst.
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|a London :
|b Springer London,
|c 2006.
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|a XII, 268 p. 72 illus.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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|a Springer Undergraduate Mathematics Series,
|x 1615-2085
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|a 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.
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|a 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. .
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|a Mathematics.
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650 |
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|a Functions of real variables.
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|a Mathematics.
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650 |
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|a Real Functions.
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710 |
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|a SpringerLink (Online service)
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|t Springer eBooks
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776 |
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|i Printed edition:
|z 9781852339401
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830 |
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|a Springer Undergraduate Mathematics Series,
|x 1615-2085
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856 |
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|u http://dx.doi.org/10.1007/1-84628-222-5
|z Full Text via HEAL-Link
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912 |
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|a ZDB-2-SMA
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|a Mathematics and Statistics (Springer-11649)
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