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From calculus to analysis

Pedersen, Steen.

From calculus to analysis

Record Type:	Electronic resources : Monograph/item
Title/Author:	From calculus to analysisby Steen Pedersen.
Author:	Pedersen, Steen.
Published:	Cham :Springer International Publishing :2015.
Description:	xix, 342 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Mathematical analysis.
Online resource:	http://dx.doi.org/10.1007/978-3-319-13641-7
ISBN:	9783319136417 (electronic bk.)

From calculus to analysis
Pedersen, Steen.

From calculus to analysis[electronic resource] /by Steen Pedersen. - Cham :Springer International Publishing :2015. - xix, 342 p. :ill. (some col.), digital ;24 cm.

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 (electronic bk.)

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

186133
Mathematical analysis.

LC Class. No.: QA300

Dewey Class. No.: 515

From calculus to analysis
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100 1 $a Pedersen, Steen. $3 715985
245 1 0 $a From calculus to analysis $h [electronic resource] / $c by Steen Pedersen.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xix, 342 p. : $b ill. (some col.), digital ; $c 24 cm.
505 0 $a 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.
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
650 0 $a Mathematical analysis. $3 186133
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650 2 4 $a Integral Equations. $3 274836
650 2 4 $a Algebra. $3 188312
650 2 4 $a Analysis. $3 273775
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856 4 0 $u http://dx.doi.org/10.1007/978-3-319-13641-7
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