Steen Pedersen
From Calculus to Analysis
Gebonden Engels 2015 2015e druk 9783319136400Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9783319136400
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:363
Uitgever:Springer International Publishing
Druk:2015
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Inhoudsopgave
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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