000 03274nam a22004575i 4500
001 978-1-84628-222-5
003 DE-He213
005 20181204131311.0
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
040 _aISI Library, Kolkata
050 4 _aQA331.5
072 7 _aPBKB
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBKB
_2thema
082 0 4 _a515.8
_223
100 1 _aHirst, Keith E.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
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 1 4 _aReal Functions.
_0http://scigraph.springernature.com/things/product-market-codes/M12171
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781848008434
776 0 8 _iPrinted edition:
_z9781852339401
830 0 _aSpringer Undergraduate Mathematics Series,
_x1615-2085
856 4 0 _uhttps://doi.org/10.1007/1-84628-222-5
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c425237
_d425237