000			03134nam a22004455i 4500
001			978-1-84628-222-5
003			DE-He213
005			20161121231030.0
007			cr nn 008mamaa
008			100301s2006 xxk| s |||| 0|eng d
020			_a9781846282225 _9978-1-84628-222-5
024	7		_a10.1007/1-84628-222-5 _2doi
050		4	_aQA331.5
072		7	_aPBKB _2bicssc
072		7	_aMAT034000 _2bisacsh
072		7	_aMAT037000 _2bisacsh
082	0	4	_a515.8 _223
100	1		_aHirst, Keith E. _eauthor.
245	1	0	_aCalculus of One Variable _h[electronic resource] / _cby Keith E. Hirst.
264		1	_aLondon : _bSpringer London, _c2006.
300			_aXII, 268 p. 72 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSpringer Undergraduate Mathematics Series, _x1615-2085
505	0		_aFunctions 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.
520			_aUnderstanding 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. .
650		0	_aMathematics.
650		0	_aFunctions of real variables.
650	1	4	_aMathematics.
650	2	4	_aReal Functions.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781852339401
830		0	_aSpringer Undergraduate Mathematics Series, _x1615-2085
856	4	0	_uhttp://dx.doi.org/10.1007/1-84628-222-5
912			_aZDB-2-SMA
950			_aMathematics and Statistics (Springer-11649)
999			_c507561 _d507561