From Calculus to Analysis

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Algebra
Cover of the book From Calculus to Analysis by Steen Pedersen, Springer International Publishing
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Author: Steen Pedersen ISBN: 9783319136417
Publisher: Springer International Publishing Publication: March 21, 2015
Imprint: Springer Language: English
Author: Steen Pedersen
ISBN: 9783319136417
Publisher: Springer International Publishing
Publication: March 21, 2015
Imprint: Springer
Language: English

This textbook features applications including a proof of the Fundamental Theorem of Algebra, space filling curves, and the theory of irrational numbers. In addition to the standard results of advanced calculus, the book contains several interesting applications of these results. The text is intended to form a bridge between calculus and analysis. It is based on the authors lecture notes used and revised nearly every year over the last decade. The book contains numerous illustrations and cross references throughout, as well as exercises with solutions at the end of each section.

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This textbook features applications including a proof of the Fundamental Theorem of Algebra, space filling curves, and the theory of irrational numbers. In addition to the standard results of advanced calculus, the book contains several interesting applications of these results. The text is intended to form a bridge between calculus and analysis. It is based on the authors lecture notes used and revised nearly every year over the last decade. The book contains numerous illustrations and cross references throughout, as well as exercises with solutions at the end of each section.

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