The Resource Real Analysis : Foundations and Functions of One Variable, by Miklós Laczkovich, Vera T. Sós, (electronic resource)
Real Analysis : Foundations and Functions of One Variable, by Miklós Laczkovich, Vera T. Sós, (electronic resource)
Resource Information
The item Real Analysis : Foundations and Functions of One Variable, by Miklós Laczkovich, Vera T. Sós, (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 Real Analysis : Foundations and Functions of One Variable, by Miklós Laczkovich, Vera T. Sós, (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
 Based on courses given at Eötvös Loránd University (Hungary) over the past 30 years, this introductory textbook develops the central concepts of the analysis of functions of one variable  systematically, with many examples and illustrations, and in a manner that builds upon, and sharpens, the students' mathematical intuition. The modular organization of the book makes it adaptable for either semester or yearlong introductory courses, while the wealth of material allows for it to be used at various levels of student sophistication in all programs where analysis is a part of the curriculum, including teachers' education. In the spirit of learningbydoing, Real Analysis includes more than 500 engaging exercises for the student keen on mastering the basics of analysis. There are frequent hints and occasional complete solutions provided for the more challenging exercises making it an ideal choice for independent study. The book includes a solid grounding in the basics of logic and proofs, sets, and real numbers, in preparation for a rigorous study of the main topics: limits, continuity, rational functions and transcendental functions, differentiation, and integration. Numerous historical notes and applications to other areas of mathematics, and to physics, are given, thereby demonstrating the practical scope and power of mathematical analysis
 Language
 eng
 Edition
 First English Edition.
 Extent
 X, 483 p. 94 illus.
 Contents

 A Short Historical Introduction
 Basic Concepts
 Real Numbers
 Infinite Sequences I
 Infinite Sequences II
 Infinite Sequences III
 Rudiments of Infinite Series
 Countable Sets
 Real Valued Functions of One Variable
 Continuity and Limits of Functions
 Various Important Classes of Functions (Elementary Functions)
 Differentiation
 Applications of Differentiation
 The Definite Integral
 Integration
 Applications of Integration
 Functions of Bounded Variation
 The Stieltjes Integral
 The Improper Integral
 Isbn
 9781493927661
 Label
 Real Analysis : Foundations and Functions of One Variable
 Title
 Real Analysis
 Title remainder
 Foundations and Functions of One Variable
 Statement of responsibility
 by Miklós Laczkovich, Vera T. Sós
 Language
 eng
 Summary
 Based on courses given at Eötvös Loránd University (Hungary) over the past 30 years, this introductory textbook develops the central concepts of the analysis of functions of one variable  systematically, with many examples and illustrations, and in a manner that builds upon, and sharpens, the students' mathematical intuition. The modular organization of the book makes it adaptable for either semester or yearlong introductory courses, while the wealth of material allows for it to be used at various levels of student sophistication in all programs where analysis is a part of the curriculum, including teachers' education. In the spirit of learningbydoing, Real Analysis includes more than 500 engaging exercises for the student keen on mastering the basics of analysis. There are frequent hints and occasional complete solutions provided for the more challenging exercises making it an ideal choice for independent study. The book includes a solid grounding in the basics of logic and proofs, sets, and real numbers, in preparation for a rigorous study of the main topics: limits, continuity, rational functions and transcendental functions, differentiation, and integration. Numerous historical notes and applications to other areas of mathematics, and to physics, are given, thereby demonstrating the practical scope and power of mathematical analysis
 http://library.link/vocab/creatorName
 Laczkovich, Miklós
 Image bit depth
 0
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Sós, Vera T.
 SpringerLink (Online service)
 Series statement
 Undergraduate Texts in Mathematics,
 http://library.link/vocab/subjectName

 Mathematics
 Mathematical analysis
 Analysis (Mathematics)
 Label
 Real Analysis : Foundations and Functions of One Variable, by Miklós Laczkovich, Vera T. Sós, (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
 A Short Historical Introduction  Basic Concepts  Real Numbers  Infinite Sequences I  Infinite Sequences II  Infinite Sequences III  Rudiments of Infinite Series  Countable Sets  Real Valued Functions of One Variable  Continuity and Limits of Functions  Various Important Classes of Functions (Elementary Functions)  Differentiation  Applications of Differentiation  The Definite Integral  Integration  Applications of Integration  Functions of Bounded Variation  The Stieltjes Integral  The Improper Integral
 Control code
 9781493927661
 Dimensions
 unknown
 Edition
 First English Edition.
 Extent
 X, 483 p. 94 illus.
 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
 9781493927661
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9781493927661
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)932166888
 Label
 Real Analysis : Foundations and Functions of One Variable, by Miklós Laczkovich, Vera T. Sós, (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
 A Short Historical Introduction  Basic Concepts  Real Numbers  Infinite Sequences I  Infinite Sequences II  Infinite Sequences III  Rudiments of Infinite Series  Countable Sets  Real Valued Functions of One Variable  Continuity and Limits of Functions  Various Important Classes of Functions (Elementary Functions)  Differentiation  Applications of Differentiation  The Definite Integral  Integration  Applications of Integration  Functions of Bounded Variation  The Stieltjes Integral  The Improper Integral
 Control code
 9781493927661
 Dimensions
 unknown
 Edition
 First English Edition.
 Extent
 X, 483 p. 94 illus.
 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
 9781493927661
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9781493927661
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)932166888
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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/RealAnalysisFoundationsandFunctionsofOne/3ujrhm7sLAM/" 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/RealAnalysisFoundationsandFunctionsofOne/3ujrhm7sLAM/">Real Analysis : Foundations and Functions of One Variable, by Miklós Laczkovich, Vera T. Sós, (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>