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From calculus to analysis

Pedersen, Steen.

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From calculus to analysis

Record Type:	Electronic resources : Monograph/item
Title/Author:	From calculus to analysis/ by Steen Pedersen.
Author:	Pedersen, Steen.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	xix, 342 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	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.
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:

516833
Mathematical analysis.

LC Class. No.: QA300

Dewey Class. No.: 515

From calculus to analysis
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020 $a 9783319136400 (paper)
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100 1 $a Pedersen, Steen. $3 2139588
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 516833
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Integral Equations. $3 897446
650 2 4 $a Algebra. $3 516203
650 2 4 $a Analysis. $3 891106
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-13641-7
950 $a Mathematics and Statistics (Springer-11649)