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 |