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The Resource Mathematical analysis fundamentals, A. E. Bashirov, Department of Mathematics, Eastern Mediterranean University, Turkey and Institute of Cybernetics, ANAS, Baku, Azerbaijan

Mathematical analysis fundamentals, A. E. Bashirov, Department of Mathematics, Eastern Mediterranean University, Turkey and Institute of Cybernetics, ANAS, Baku, Azerbaijan

Creator
Author
Summary
The author's goal is a rigorous presentation of the fundamentals of analysis, starting from elementary level and moving to the advanced coursework. The curriculum of all mathematics (pure or applied) and physics programs include a compulsory course in mathematical analysis. This book will serve as can serve a main textbook of such (one semester) courses. The book can also serve as additional reading for such courses as real analysis, functional analysis, harmonic analysis etc. For non-math major students requiring math beyond calculus, this is a more friendly approach than many math-centric options. Friendly and well-rounded presentation of pre-analysis topics such as sets, proof techniques and systems of numbers. Deeper discussion of the basic concept of convergence for the system of real numbers, pointing out its specific features, and for metric spaces. Presentation of Riemann integration and its place in the whole integration theory for single variable, including the Kurzweil-Henstock integration.Elements of multiplicative calculus aiming to demonstrate the non-absoluteness of Newtonian calculus
Language
eng
Work
Publication
Extent
xiii, 348 pages
Contents
  • 1. Sets and proofs
  • 2. Numbers
  • 3. Convergence
  • 4. Point set theory
  • 5. Continuity
  • 6. Space C(E,E')
  • 7. Differentiation
  • 8. Bounded variation
  • 9. Riemann integration
  • 10. Generalizations of Riemann integration
  • 11. Transcendental functions
  • 12. Fourier series and integrals
Isbn
9780128010013
Instance
Label
Mathematical analysis fundamentals
Title
Mathematical analysis fundamentals
Statement of responsibility
A. E. Bashirov, Department of Mathematics, Eastern Mediterranean University, Turkey and Institute of Cybernetics, ANAS, Baku, Azerbaijan
Creator
Author
Subject
Language
eng
Summary
The author's goal is a rigorous presentation of the fundamentals of analysis, starting from elementary level and moving to the advanced coursework. The curriculum of all mathematics (pure or applied) and physics programs include a compulsory course in mathematical analysis. This book will serve as can serve a main textbook of such (one semester) courses. The book can also serve as additional reading for such courses as real analysis, functional analysis, harmonic analysis etc. For non-math major students requiring math beyond calculus, this is a more friendly approach than many math-centric options. Friendly and well-rounded presentation of pre-analysis topics such as sets, proof techniques and systems of numbers. Deeper discussion of the basic concept of convergence for the system of real numbers, pointing out its specific features, and for metric spaces. Presentation of Riemann integration and its place in the whole integration theory for single variable, including the Kurzweil-Henstock integration.Elements of multiplicative calculus aiming to demonstrate the non-absoluteness of Newtonian calculus
Member of
Cataloging source
UKMGB
http://library.link/vocab/creatorName
Bashirov, Agamirza E
Dewey number
515
Illustrations
illustrations
Index
no index present
LC call number
QA300
LC item number
.B37 2014
Literary form
non fiction
Nature of contents
bibliography
Series statement
Elsevier insights
http://library.link/vocab/subjectName
  • Mathematical analysis
  • Analysis
Label
Mathematical analysis fundamentals, A. E. Bashirov, Department of Mathematics, Eastern Mediterranean University, Turkey and Institute of Cybernetics, ANAS, Baku, Azerbaijan
Instantiates
Publication
Copyright
Bibliography note
Includes bibliographical references
Carrier category
volume
Carrier MARC source
rdacarrier.
Content category
text
Content type MARC source
rdacontent.
Contents
1. Sets and proofs -- 2. Numbers -- 3. Convergence -- 4. Point set theory -- 5. Continuity -- 6. Space C(E,E') -- 7. Differentiation -- 8. Bounded variation -- 9. Riemann integration -- 10. Generalizations of Riemann integration -- 11. Transcendental functions -- 12. Fourier series and integrals
Control code
870424847
Dimensions
24 cm
Extent
xiii, 348 pages
Isbn
9780128010013
Isbn Type
(hbk.)
Media category
unmediated
Media MARC source
rdamedia.
Other physical details
illustrations
System control number
(OCoLC)870424847
Label
Mathematical analysis fundamentals, A. E. Bashirov, Department of Mathematics, Eastern Mediterranean University, Turkey and Institute of Cybernetics, ANAS, Baku, Azerbaijan
Publication
Copyright
Bibliography note
Includes bibliographical references
Carrier category
volume
Carrier MARC source
rdacarrier.
Content category
text
Content type MARC source
rdacontent.
Contents
1. Sets and proofs -- 2. Numbers -- 3. Convergence -- 4. Point set theory -- 5. Continuity -- 6. Space C(E,E') -- 7. Differentiation -- 8. Bounded variation -- 9. Riemann integration -- 10. Generalizations of Riemann integration -- 11. Transcendental functions -- 12. Fourier series and integrals
Control code
870424847
Dimensions
24 cm
Extent
xiii, 348 pages
Isbn
9780128010013
Isbn Type
(hbk.)
Media category
unmediated
Media MARC source
rdamedia.
Other physical details
illustrations
System control number
(OCoLC)870424847

Subject

Member of

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      38.944377 -92.326537

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