An introduction to analysis [electronic resource] / Jan Mikusinski, Piotr Mikusinski.
By: Mikusinski, Jan
.
Contributor(s): Mikusinski, Piotr.
Material type: 
Computer filePublisher: Singapore : World Scientific Publishing Co. Pte Ltd., 2017Description: 1 online resource (320 p.) : ill.ISBN: 9789813202627.Subject(s): Mathematical analysis | Calculus | Functions of real variables | Electronic booksDDC classification: 515 Online resources: Access to full text is restricted to subscribers. Summary: "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."-- Publisher's website.
System requirements: Adobe Acrobat Reader.
Mode of access: World Wide Web.
Includes index.
Title from web page (viewed January 16, 2019).
"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."-- Publisher's website.
There are no comments for this item.