000 01739nam a22002177a 4500
003 OSt
005 20250901103834.0
008 250901b |||||||| |||| 00| 0 eng d
020 _a9781009159692
040 _beng
_cASCOT College Library
082 _aRef 515 H11c 2022
100 _4author.
_aHabib, Amber.
245 _aCalculus /
_cby Amber Habib.
260 _aCambridge, UK :
_bCambridge University Press,
_cc2022.
300 _axii, 391 pages :
_bb&w illus. ;
_e24 cm.
500 _aIncludes bibliographical references and index.
505 _a1 Real numbers and functions. - - 2 Integration. - - 3 Limits and continuity. - - 4 Differentiation. - - 5 Techniques of integration. - - 6 Mean value theorems and applications. - - 7 Sequences and series. - - 8 Taylor and Fourier series.
520 _a"Calculus is important for first-year undergraduate students pursuing mathematics, physics, economics, engineering, and other disciplines where mathematics plays a significant role. The book provides a thorough reintroduction to calculus with an emphasis on logical development arising out of geometric intuition. The author has restructured the subject matter in the book by using Tarski's version of the completeness axiom, introducing integration before differentiation and limits, and emphasizing benefits of monotonicity before continuity. The standard transcendental functions are developed early in a rigorous manner and the monotonicity theorem is proved before the mean value theorem. Each concept is supported by diverse exercises which will help the reader to understand applications and take them nearer to real and complex analysis." -- Provide by publisher.
650 _aCalculus.
942 _cBK
_2ddc
999 _c5814
_d5814