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Viser: Advanced Calculus of a Single Variable
Advanced Calculus of a Single Variable Vital Source e-bog
Tunc Geveci
(2016)
Advanced Calculus of a Single Variable Vital Source e-bog
Tunc Geveci
(2016)
Advanced Calculus of a Single Variable Vital Source e-bog
Tunc Geveci
(2016)
Advanced Calculus of a Single Variable
Tunc Geveci
(2016)
Sprog: Engelsk
om ca. 10 hverdage
Detaljer om varen
- Vital Source searchable e-book (Reflowable pages)
- Udgiver: Springer Nature (Marts 2016)
- ISBN: 9783319278070
Bookshelf online: 5 år fra købsdato.
Bookshelf appen: ubegrænset dage fra købsdato.
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Detaljer om varen
- Vital Source 180 day rentals (dynamic pages)
- Udgiver: Springer Nature (Marts 2016)
- ISBN: 9783319278070R180
Bookshelf online: 180 dage fra købsdato.
Bookshelf appen: 180 dage fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
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Detaljer om varen
- Vital Source 90 day rentals (dynamic pages)
- Udgiver: Springer Nature (Marts 2016)
- ISBN: 9783319278070R90
Bookshelf online: 90 dage fra købsdato.
Bookshelf appen: 90 dage fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: 2 sider kan printes ad gangen
Copy: højest 2 sider i alt kan kopieres (copy/paste)
Detaljer om varen
- 1. Udgave
- Hardback
- Udgiver: Springer International Publishing AG (April 2016)
- ISBN: 9783319278063
Success in this course is expected to prepare students for more advanced courses in real and complex analysis and this book will help to accomplish this. The first semester of advanced calculus can be followed by a rigorous course in multivariable calculus and an introductory real analysis course that treats the Lebesgue integral and metric spaces, with special emphasis on Banach and Hilbert spaces.
Chapter 1: Real Numbers, Sequences and Limits.- Terminology and Notation.- Real Numbers.- The Limit of a Sequence.- The Cauchy Convergence Criterion.- The Least Upper Bound Principle.- Infinite Limits.-
Chapter 2: Limits and Continuity of Functions.- Continuity.- The Limit of a Function at a Point.- Infinite Limits and Limits at Infinity.- The Intermediate Value Theorem.-
Chapter 3: The Derivative.- The Derivative.- Local Linear Approximations and the Differential.- Rules of Differentiation.- The Mean Value Theorem.- L'Hôpital's Rule.-
Chapter 4: The Riemann Integral.- The Riemann Integral.- Basic Properties of the Integral.- The Fundamental Theorem of Calculus.- The Substitution Rule and Integration by Parts.- Improper Integrals:
Part 1.- Improper Integrals:
Part 2.-
Chapter 5: Infinite Series.- Infinite Series of Numbers.- Convergence Tests for Infinite Series:
Part 1.- Convergence Tests for Infinite Series:
Part 2.-
Chapter 6: Sequences and Series of Functions.- Sequences of Functions.- Infinite Series of Functions.- Power Series.- Taylor Series.- Another Look at Special Functions.