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 year-long 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 learning-by-doing, 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 year-long 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 learning-by-doing, 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
- 978-1-4939-2766-1
- 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, non-commercial 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
- 10.1007/978-1-4939-2766-1
- 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
- 978-1-4939-2766-1
- 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, non-commercial 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
- 10.1007/978-1-4939-2766-1
- 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 fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.eui.eu/portal/Real-Analysis--Foundations-and-Functions-of-One/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/Real-Analysis--Foundations-and-Functions-of-One/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>
