Introduction To Analysis, An

Piotr Mikusinski, Jan Mikusinski

ISBN 10: 9813202610 / ISBN 13: 9789813202610

Published by World Scientific Publishing Co Pte Ltd, SG, 2017

About this Item

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.

Seller Inventory # LU-9789813202610

Bibliographic Details

• Title: Introduction To Analysis, An
• Publisher: World Scientific Publishing Co Pte Ltd, SG
• Publication Date: 2017
• Language: English
• ISBN 10: 9813202610
• ISBN 13: 9789813202610
• Binding: Hardback
• Condition: New
• Dimensions: 16.99W x 1.91H x 24.41D centimeters 16.99 centimeters width by 1.91 centimeters height by 24.41 centimeters depth

About this title

Synopsis

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.