000			01562nam a22002057a 4500
008			170926b xxu||||| |||| 00| 0 eng d
020			_a9789813202610
082			_a515 _bMik/Mik
100			_aMikusinski, Jan
245			_aAn Introduction to Analysis
260			_aNew Jersey _bWorld Scientific _c2017
300			_axiv;303p. _b10x7 _chb
520			_aThe book contains a rigorous exposition of calculus of a single real variable. It covers the standard topics of an introductory analysis course, namely, functions, continuity, differentiability, sequences and series of numbers, sequences and series of functions, and integration. A direct treatment of the Lebesgue integral, based solely on the concept of absolutely convergent series, is presented, which is a unique feature of a textbook at this level. The standard material is complemented by topics usually not found in comparable textbooks, for example, elementary functions are rigorously defined and their properties are carefully derived and an introduction to Fourier series is presented as an example of application of the Lebesgue integral.The text is for a post-calculus course for students majoring in mathematics or mathematics education. It will provide students with a solid background for further studies in analysis, deepen their understanding of calculus, and provide sound training in rigorous mathematical proof.
546			_aENG
650			_aMathematical analysis
650			_aCalculus
650			_aFunctions of real variables
700			_aMikusinski, Piotr
942			_cBK
999			_c85576 _d85576