From calculus to analysis
by Pedersen, Steen, (Mathematician)
This textbook features applications including a proof of the Fundamental Theorem of Algebra, space filling curves, and the theory of irrational numbers. In addition to the standard results of advanced calculus, the book contains several interesting applications of these results. The text is intended to form a bridge between calculus and analysis. It is based on the authors lecture notes used and revised nearly every year over the last decade. The book contains numerous illustrations and cross r…
Read More ↓Title Statements
- Full title :From calculus to analysis / Steen Pedersen.
Summary
This textbook features applications including a proof of the Fundamental Theorem of Algebra, space filling curves, and the theory of irrational numbers. In addition to the standard results of advanced calculus, the book contains several interesting applications of these results. The text is intended to form a bridge between calculus and analysis. It is based on the authors lecture notes used and revised nearly every year over the last decade. The book contains numerous illustrations and cross references throughout, as well as exercises with solutions at the end of each section.
Read More ↓Edition Statements
- Publication Date:2015.
Publication Statements
- Publisher(s):Springer
- Place of Publication:Cham
- Language:eng
- Publication Date:2015.
The Physical Object
- Description:1 online resource (xix, 342 pages) : : illustrations (some color)
Edition Identifiers
- ISBN:9783319136417, 3319136410, 3319136402, 9783319136400
- DOI:10.1007/978-3-319-13641-7
- oclc:ocn905542075
- LC Classification:QA300
- Dewey Decimal:515
Table of Contents
Part I -- Limits -- Introduction to Continuity -- Sets of Real Numbers -- Counting -- Continuity -- Derivatives and their Applications -- The Riemann Integral -- The Logarithm and the Exponential Function -- Part II -- Convergence of Sequences -- Series -- Trigonometric Functions and Applications -- Fourier Series -- Topology -- Appendices.
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From Calculus to Analysis -- (.pdf)
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From Calculus to Analysis -- (.pdf)
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From calculus to analysis -- (.pdf)
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