000 a
999 _c31913
_d31913
008 230419b xxu||||| |||| 00| 0 eng d
020 _a9781138568211
082 _a515
_bPET
100 _aPetrovic, John Srdjan
245 _aAdvanced calculus : theory and practice
250 _a2nd ed.
260 _bTaylor and Francis Group,
_a2021
_cBoca Raton :
300 _axiv, 608 p. ;
_bill.,
_c26 cm
365 _d99.99
_bGBP
_c104.20
490 _aTextbooks in mathematics
504 _aIncludes bibliographical references and index.
520 _aOffers a text for a one- or two-semester course on advanced calculus or analysis. The text improves students' problem-solving and proof-writing skills, familiarizes them with the historical development of calculus concepts, and helps them understand the connections among different topics. The book explains how various topics in calculus may seem unrelated but have common roots. Emphasizing historical perspectives, the text gives students a glimpse into the development of calculus and its ideas from the age of Newton and Leibniz to the twentieth century. Nearly 300 examples lead to important theorems.
650 _aInfinitesimal calculation
650 _aMathematics Differential Equations
650 _aDifferential Equations
650 _a Functional analysis
650 _aCauchy's mean value theorem
650 _aBolzano Weierstrass theorem
650 _aAbel's test
650 _aEven function
650 _a Green's theorem
650 _a Heine Boral theorem
650 _aImplicit function theorem
650 _aLipschitz continuous function
650 _aPeriodic function
650 _aRiemann's theorem
650 _aSqueeze theorem
650 _aTaylor's formula
650 _aWeierstrass theorem
942 _2ddc
_cBK