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An Introduction to Analysis by Piotr Mikusinski, Jan Mikusinski

An Introduction to Analysis

by Piotr Mikusinski , Jan Mikusinski
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Book cover type: Hardcover
  • ISBN13: 9789813202610
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: World Scientific Publishing Company
  • Publisher Imprint: World Scientific Publishing Company
  • Publication Date:
  • Pages: 320
  • Original Price: USD 88.0
  • Language: English
  • Edition: N/A
  • Item Weight: 708 grams
  • BISAC Subject(s): Mathematical Analysis

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.

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