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From calculus to analysis

Pedersen, Steen.

From calculus to analysis

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	From calculus to analysisby Steen Pedersen.
作者:	Pedersen, Steen.
出版者:	Cham :Springer International Publishing :2015.
面頁冊數:	xix, 342 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
標題:	Mathematical analysis.
電子資源:	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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245 1 0 $a From calculus to analysis $h [electronic resource] / $c by Steen Pedersen.
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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
650 1 4 $a Mathematics. $3 184409
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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