An Introduction to Real Analysis : The Commonwealth and International Library: Mathematical Topics
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| Title: | An Introduction to Real Analysis : The Commonwealth and International Library: Mathematical Topics |
|---|---|
| Description: | An Introduction to Real Analysis presents the concepts of real analysis and highlights the problems which necessitate the introduction of these concepts. Topics range from sets, relations, and functions to numbers, sequences, series, derivatives, and the Riemann integral. This volume begins with an introduction to some of the problems which are met in the use of numbers for measuring, and which provide motivation for the creation of real analysis. Attention then turns to real numbers that are built up from natural numbers, with emphasis on integers, rationals, and irrationals. The chapters that follow explore the conditions under which sequences have limits and derive the limits of many important sequences, along with functions of a real variable, Rolle's theorem and the nature of the derivative, and the theory of infinite series and how the concepts may be applied to decimal representation. The book also discusses some important functions and expansions before concluding with a chapter on the Riemann integral and the problem of area and its measurement. Throughout the text the stress has been upon concepts and interesting results rather than upon techniques. Each chapter contains exercises meant to facilitate understanding of the subject matter. This book is intended for students in colleges of education and others with similar needs. |
| Authors: | Derek G. Ball, C. Plumpton |
| Resource Type: | eBook. |
| Subjects: | Mathematical analysis, Numbers, Real |
| Categories: | MATHEMATICS / Mathematical Analysis, MATHEMATICS / Calculus |
| Database: | eBook Collection (EBSCOhost) |
| FullText | Links: – Type: ebook-pdf Text: Availability: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: An Introduction to Real Analysis : The Commonwealth and International Library: Mathematical Topics – Name: Abstract Label: Description Group: Ab Data: An Introduction to Real Analysis presents the concepts of real analysis and highlights the problems which necessitate the introduction of these concepts. Topics range from sets, relations, and functions to numbers, sequences, series, derivatives, and the Riemann integral. This volume begins with an introduction to some of the problems which are met in the use of numbers for measuring, and which provide motivation for the creation of real analysis. Attention then turns to real numbers that are built up from natural numbers, with emphasis on integers, rationals, and irrationals. The chapters that follow explore the conditions under which sequences have limits and derive the limits of many important sequences, along with functions of a real variable, Rolle's theorem and the nature of the derivative, and the theory of infinite series and how the concepts may be applied to decimal representation. The book also discusses some important functions and expansions before concluding with a chapter on the Riemann integral and the problem of area and its measurement. Throughout the text the stress has been upon concepts and interesting results rather than upon techniques. Each chapter contains exercises meant to facilitate understanding of the subject matter. This book is intended for students in colleges of education and others with similar needs. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Derek+G%2E+Ball%22">Derek G. Ball</searchLink><br /><searchLink fieldCode="AR" term="%22C%2E+Plumpton%22">C. Plumpton</searchLink> – Name: TypePub Label: Resource Type Group: TypPub Data: eBook. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Mathematical+analysis%22">Mathematical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Numbers%2C+Real%22">Numbers, Real</searchLink> – Name: SubjectBISAC Label: Categories Group: Su Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Mathematical+Analysis%22">MATHEMATICS / Mathematical Analysis</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Calculus%22">MATHEMATICS / Calculus</searchLink> |
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| RecordInfo | BibRecord: BibEntity: Classifications: – Code: 515 Scheme: ddc Type: prePub Languages: – Code: eng Text: English Subjects: – SubjectFull: Mathematical analysis Type: general – SubjectFull: Numbers, Real Type: general Titles: – TitleFull: An Introduction to Real Analysis : The Commonwealth and International Library: Mathematical Topics Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Derek G. Ball – PersonEntity: Name: NameFull: C. Plumpton – PersonEntity: Name: NameFull: Derek G. Ball – PersonEntity: Name: NameFull: C. Plumpton IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2014 – D: 30 M: 01 Type: profile Y: 2015 Identifiers: – Type: isbn-print Value: 9780080169361 – Type: isbn-electronic Value: 9781483158969 Titles: – TitleFull: An Introduction to Real Analysis : The Commonwealth and International Library: Mathematical Topics Type: main |
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