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The Resource A Concise Approach to Mathematical Analysis, by Mangatiana A. Robdera, (electronic resource)
A Concise Approach to Mathematical Analysis, by Mangatiana A. Robdera, (electronic resource)
Resource Information
The item A Concise Approach to Mathematical Analysis, by Mangatiana A. Robdera, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item A Concise Approach to Mathematical Analysis, by Mangatiana A. Robdera, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 A Concise Approach to Mathematical Analysis introduces the undergraduate student to the more abstract concepts of advanced calculus. The main aim of the book is to smooth the transition from the problemsolving approach of standard calculus to the more rigorous approach of proofwriting and a deeper understanding of mathematical analysis. The first half of the textbook deals with the basic foundation of analysis on the real line; the second half introduces more abstract notions in mathematical analysis. Each topic begins with a brief introduction followed by detailed examples. A selection of exercises, ranging from the routine to the more challenging, then gives students the opportunity to practise writing proofs. The book is designed to be accessible to students with appropriate backgrounds from standard calculus courses but with limited or no previous experience in rigorous proofs. It is written primarily for advanced students of mathematics  in the 3rd or 4th year of their degree  who wish to specialise in pure and applied mathematics, but it will also prove useful to students of physics, engineering and computer science who also use advanced mathematical techniques
 Language

 eng
 eng
 Edition
 1st ed. 2003.
 Extent
 1 online resource (XII, 362 p.)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Contents

 Numbers and Functions
 Real Numbers
 Subsets of ?
 Variables and Functions
 Sequences
 Definition of a Sequence
 Convergence and Limits
 Subsequences
 Upper and Lower Limits
 Cauchy Criterion
 3. Series
 Infinite Series
 Conditional Convergence
 Comparison Tests
 Root and Ratio Tests
 Further Tests
 4. Limits and Continuity
 Limits of Functions
 Continuity of Functions
 Properties of Continuous Functions
 Uniform Continuity
 Differentiation
 Derivatives
 Mean Value Theorem
 L'Hôspital's Rule
 Inverse Function Theorems
 Taylor's Theorem
 Elements of Integration
 Step Functions
 Riemann Integral
 Functions of Bounded Variation
 RiemannStieltjes Integral
 Sequences and Series of Functions
 Sequences of Functions
 Series of Functions
 Power Series
 Taylor Series
 Local Structure on the Real Line
 Open and Closed Sets in ?
 Neighborhoods and Interior Points
 Closure Point and Closure
 Completeness and Compactness
 Continuous Functions
 Global Continuity
 Functions Continuous on a Compact Set
 Stone—Weierstrass Theorem
 Fixedpoint Theorem
 AscoliArzelà Theorem
 to the Lebesgue Integral
 Null Sets
 Lebesgue Integral
 Improper Integral
 Important Inequalities
 Elements of Fourier Analysis
 Fourier Series
 Convergent Trigonometric Series
 Convergence in 2mean
 Pointwise Convergence
 A. Appendix
 A.1 Theorems and Proofs
 A.2 Set Notations
 A.3 Cantor's Ternary Set
 A.4 Bernstein's Approximation Theorem
 B. Hints for Selected Exercises
 Isbn
 9780857293473
 Label
 A Concise Approach to Mathematical Analysis
 Title
 A Concise Approach to Mathematical Analysis
 Statement of responsibility
 by Mangatiana A. Robdera
 Language

 eng
 eng
 Summary
 A Concise Approach to Mathematical Analysis introduces the undergraduate student to the more abstract concepts of advanced calculus. The main aim of the book is to smooth the transition from the problemsolving approach of standard calculus to the more rigorous approach of proofwriting and a deeper understanding of mathematical analysis. The first half of the textbook deals with the basic foundation of analysis on the real line; the second half introduces more abstract notions in mathematical analysis. Each topic begins with a brief introduction followed by detailed examples. A selection of exercises, ranging from the routine to the more challenging, then gives students the opportunity to practise writing proofs. The book is designed to be accessible to students with appropriate backgrounds from standard calculus courses but with limited or no previous experience in rigorous proofs. It is written primarily for advanced students of mathematics  in the 3rd or 4th year of their degree  who wish to specialise in pure and applied mathematics, but it will also prove useful to students of physics, engineering and computer science who also use advanced mathematical techniques
 http://library.link/vocab/creatorName
 Robdera, Mangatiana A
 Dewey number
 515
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 Bg12w5oBZ9M
 Image bit depth
 0
 Language note
 English
 LC call number
 QA299.6433
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/subjectName

 Global analysis (Mathematics)
 Mathematics
 Functional equations
 Fourier analysis
 Sequences (Mathematics)
 Analysis
 Real Functions
 Difference and Functional Equations
 Fourier Analysis
 Sequences, Series, Summability
 Label
 A Concise Approach to Mathematical Analysis, by Mangatiana A. Robdera, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Contents
 Numbers and Functions  Real Numbers  Subsets of ?  Variables and Functions  Sequences  Definition of a Sequence  Convergence and Limits  Subsequences  Upper and Lower Limits  Cauchy Criterion  3. Series  Infinite Series  Conditional Convergence  Comparison Tests  Root and Ratio Tests  Further Tests  4. Limits and Continuity  Limits of Functions  Continuity of Functions  Properties of Continuous Functions  Uniform Continuity  Differentiation  Derivatives  Mean Value Theorem  L'Hôspital's Rule  Inverse Function Theorems  Taylor's Theorem  Elements of Integration  Step Functions  Riemann Integral  Functions of Bounded Variation  RiemannStieltjes Integral  Sequences and Series of Functions  Sequences of Functions  Series of Functions  Power Series  Taylor Series  Local Structure on the Real Line  Open and Closed Sets in ?  Neighborhoods and Interior Points  Closure Point and Closure  Completeness and Compactness  Continuous Functions  Global Continuity  Functions Continuous on a Compact Set  Stone—Weierstrass Theorem  Fixedpoint Theorem  AscoliArzelà Theorem  to the Lebesgue Integral  Null Sets  Lebesgue Integral  Improper Integral  Important Inequalities  Elements of Fourier Analysis  Fourier Series  Convergent Trigonometric Series  Convergence in 2mean  Pointwise Convergence  A. Appendix  A.1 Theorems and Proofs  A.2 Set Notations  A.3 Cantor's Ternary Set  A.4 Bernstein's Approximation Theorem  B. Hints for Selected Exercises
 Dimensions
 unknown
 Edition
 1st ed. 2003.
 Extent
 1 online resource (XII, 362 p.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9780857293473
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9780857293473
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3400000000087505
 (SSID)ssj0000805645
 (PQKBManifestationID)11504539
 (PQKBTitleCode)TC0000805645
 (PQKBWorkID)10836652
 (PQKB)10180980
 (DEHe213)9780857293473
 (MiAaPQ)EBC3072160
 (EXLCZ)993400000000087505
 Label
 A Concise Approach to Mathematical Analysis, by Mangatiana A. Robdera, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Contents
 Numbers and Functions  Real Numbers  Subsets of ?  Variables and Functions  Sequences  Definition of a Sequence  Convergence and Limits  Subsequences  Upper and Lower Limits  Cauchy Criterion  3. Series  Infinite Series  Conditional Convergence  Comparison Tests  Root and Ratio Tests  Further Tests  4. Limits and Continuity  Limits of Functions  Continuity of Functions  Properties of Continuous Functions  Uniform Continuity  Differentiation  Derivatives  Mean Value Theorem  L'Hôspital's Rule  Inverse Function Theorems  Taylor's Theorem  Elements of Integration  Step Functions  Riemann Integral  Functions of Bounded Variation  RiemannStieltjes Integral  Sequences and Series of Functions  Sequences of Functions  Series of Functions  Power Series  Taylor Series  Local Structure on the Real Line  Open and Closed Sets in ?  Neighborhoods and Interior Points  Closure Point and Closure  Completeness and Compactness  Continuous Functions  Global Continuity  Functions Continuous on a Compact Set  Stone—Weierstrass Theorem  Fixedpoint Theorem  AscoliArzelà Theorem  to the Lebesgue Integral  Null Sets  Lebesgue Integral  Improper Integral  Important Inequalities  Elements of Fourier Analysis  Fourier Series  Convergent Trigonometric Series  Convergence in 2mean  Pointwise Convergence  A. Appendix  A.1 Theorems and Proofs  A.2 Set Notations  A.3 Cantor's Ternary Set  A.4 Bernstein's Approximation Theorem  B. Hints for Selected Exercises
 Dimensions
 unknown
 Edition
 1st ed. 2003.
 Extent
 1 online resource (XII, 362 p.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9780857293473
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9780857293473
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3400000000087505
 (SSID)ssj0000805645
 (PQKBManifestationID)11504539
 (PQKBTitleCode)TC0000805645
 (PQKBWorkID)10836652
 (PQKB)10180980
 (DEHe213)9780857293473
 (MiAaPQ)EBC3072160
 (EXLCZ)993400000000087505
Library Locations

Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

Western History CollectionsBorrow itMonnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US35.209584 97.445414
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/AConciseApproachtoMathematicalAnalysisby/_pZDmzgpMCU/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/AConciseApproachtoMathematicalAnalysisby/_pZDmzgpMCU/">A Concise Approach to Mathematical Analysis, by Mangatiana A. Robdera, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>