The Resource From Calculus to Analysis, by Steen Pedersen, (electronic resource)
From Calculus to Analysis, by Steen Pedersen, (electronic resource)
Resource Information
The item From Calculus to Analysis, by Steen Pedersen, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item From Calculus to Analysis, by Steen Pedersen, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 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
 Language
 eng
 Extent
 XIX, 342 p. 48 illus., 14 illus. in color.
 Contents

 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
 Isbn
 9783319136417
 Label
 From Calculus to Analysis
 Title
 From Calculus to Analysis
 Statement of responsibility
 by Steen Pedersen
 Language
 eng
 Summary
 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
 http://library.link/vocab/creatorName
 Pedersen, Steen
 Image bit depth
 0
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName
 SpringerLink (Online service)
 http://library.link/vocab/subjectName

 Mathematics
 Algebra
 Mathematical analysis
 Analysis (Mathematics)
 Integral equations
 Label
 From Calculus to Analysis, by Steen Pedersen, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent.
 Contents
 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
 Control code
 9783319136417
 Dimensions
 unknown
 Extent
 XIX, 342 p. 48 illus., 14 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319136417
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9783319136417
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1086422765
 Label
 From Calculus to Analysis, by Steen Pedersen, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent.
 Contents
 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
 Control code
 9783319136417
 Dimensions
 unknown
 Extent
 XIX, 342 p. 48 illus., 14 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319136417
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9783319136417
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1086422765
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/FromCalculustoAnalysisbySteenPedersen/84pX50EnnTc/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/FromCalculustoAnalysisbySteenPedersen/84pX50EnnTc/">From Calculus to Analysis, by Steen Pedersen, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>