國立虎尾科技大學 |

From Calculus to Analysis

Record Type:	Language materials, printed : Monograph/item
Title/Author:	From Calculus to Analysis/ by Steen Pedersen.
Author:	Pedersen, Steen.
Description:	XIX, 342 p. 48 illus., 14 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Integral equations. -
Online resource:	https://doi.org/10.1007/978-3-319-13641-7
ISBN:	9783319136417

From Calculus to Analysis
Pedersen, Steen.

From Calculus to Analysis[electronic resource] /by Steen Pedersen. - 1st ed. 2015. - XIX, 342 p. 48 illus., 14 illus. in color.online resource.

Part I -- Limits -- Introduction to Continuity -- Sets of Real Numbers -- Counting -- Continuity -- Derivatives and their Applications -- The Riemann Integral -- The Logarithm and the Exponential Function -- Part II -- Convergence of Sequences -- Series -- Trigonometric Functions and Applications -- Fourier Series -- Topology -- Appendices.

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.

ISBN: 9783319136417

Standard No.: 10.1007/978-3-319-13641-7doiSubjects--Topical Terms:

527971
Integral equations.

LC Class. No.: QA431

Dewey Class. No.: 515.45

From Calculus to Analysis
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520 $a 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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