000			a
999			_c34897 _d34897
008			251013b xxu||||| |||| 00| 0 eng d
020			_a9783031696619 _c(hbk)
082			_a515 _bPOR
100			_aPortnoy, Arturo
245			_aCalculus to analysis : an introductory transition
260			_bSpringer, _c2025 _aCham :
300			_axiv, 119 p. ; _bill., _c25 cm.
365			_b39.99 _c€ _d104.36
504			_aIncludes bibliographical references and index.
520			_aThis book addresses the analysis of functions of a real variable and transitions from the standard calculus sequence to mathematical analysis. The author presents the limits and convergence of sequences of functions, illustrates the limitations of the Riemann integral, and discusses the need for a new integral: the Lebesgue integral. The fundamental concepts of the theory of calculus of one variable is presented in addition to limits, continuity, derivatives and its applications, and integrals and their applications. The tone and language of the book is kept as informal as possible along with the descriptions and examples to aid learning. The book is concise and presents single variable advanced calculus leading up to Fourier analysis. In addition, the book sets up sufficient background for a course in measure theory and Lebesgue integration. In addition, this book: Discusses mathematical analysis and provides the needed definitions, lemmas, and theorems Features a concise presentation and is driven by examples of key concepts Supplemented with online interactive activities of explorations and examples.
650			_aCalculus
650			_aMathematics
650			_aContinuous Function
650			_aSequences, Limits, Series
942			_2ddc _cBK