Calculus of one variable

K.E. Hirst

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. Readers are also encouraged to practice the essential techniques through numerous exercises which are an important component of the book.

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[目次]

  • 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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この本の情報

書名 Calculus of one variable
著作者等 Hirst, Keith Edwin
シリーズ名 Springer undergraduate mathematics series
出版元 Springer
刊行年月 c2006
ページ数 xi, 267 p.
大きさ 24 cm
ISBN 9781852339401
NCID BA74396739
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言語 英語
出版国 イギリス
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