000			a
999			_c33732 _d33732
008			250225b xxu||||| |||| 00| 0 eng d
020			_a9783031439162
082			_a515 _bMER
100			_aMercer, Peter R.
245			_aA compact capstone course in classical Calculus
260			_bBirkhauser, _c2023 _aCham :
300			_axi, 157 p. : _bill., (some col.), _c24 cm
365			_b59.99 _c€ _d93.20
490			_aCompact textbooks in mathematics
504			_aIncludes bibliographical references and index.
520			_aThis textbook offers undergraduates a self-contained introduction to advanced topics not covered in a standard calculus sequence. The author’s enthusiastic and engaging style makes this material, which typically requires a substantial amount of study, accessible to students with minimal prerequisites. Readers will gain a broad knowledge of the area, with approaches based on those found in recent literature, as well as historical remarks that deepen the exposition. Specific topics covered include the binomial theorem, the harmonic series, Euler's constant, geometric probability, and much more. Over the fifteen chapters, readers will discover the elegance of calculus and the pivotal role it plays within mathematics. A Compact Capstone Course in Classical Calculus is ideal for exploring interesting topics in mathematics beyond the standard calculus sequence, particularly for undergraduates who may not be taking more advanced math courses. It would also serve as a useful supplement for a calculus course and a valuable resource for self-study. Readers are expected to have completed two one-semester college calculus courses.
650			_aAlternating Harmonic Series
650			_aAM-GM Inequality
650			_aBasel problem
650			_aBernoulli's Inequality
650			_aConvex function
650			_aJensen's Inequality
650			_aMaclaurin Series
650			_aStirling's Formula
650			_aTaylor's Theorem
650			_aTrapezoid Rule
650			_aTriangle Inequality
942			_2ddc _cBK