Mikusinski, Jan.
An introduction to analysis [electronic resource] / Jan Mikusinski, Piotr Mikusinski. - Singapore : World Scientific Publishing Co. Pte Ltd., 2017. - 1 online resource (320 p.) : ill.
Includes index.
"The 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."--
System requirements: Adobe Acrobat Reader.
Mode of access: World Wide Web.
9789813202627
Mathematical analysis.
Calculus.
Functions of real variables.
Electronic books.
QA300 / .M54525 2017
515
An introduction to analysis [electronic resource] / Jan Mikusinski, Piotr Mikusinski. - Singapore : World Scientific Publishing Co. Pte Ltd., 2017. - 1 online resource (320 p.) : ill.
Includes index.
"The 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."--
System requirements: Adobe Acrobat Reader.
Mode of access: World Wide Web.
9789813202627
Mathematical analysis.
Calculus.
Functions of real variables.
Electronic books.
QA300 / .M54525 2017
515