Elementary Calculus / Dover Books on Mathematics (ePub)
An Infinitesimal Approach
(Sprache: Englisch)
This first-year calculus book is centered around the use of infinitesimals, an approach largely neglected until recently for reasons of mathematical rigor. It exposes students to the intuition that originally led to the calculus, simplifying their grasp of...
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Produktinformationen zu „Elementary Calculus / Dover Books on Mathematics (ePub)“
This first-year calculus book is centered around the use of infinitesimals, an approach largely neglected until recently for reasons of mathematical rigor. It exposes students to the intuition that originally led to the calculus, simplifying their grasp of the central concepts of derivatives and integrals. The author also teaches the traditional approach, giving students the benefits of both methods.
Chapters 1 through 4 employ infinitesimals to quickly develop the basic concepts of derivatives, continuity, and integrals. Chapter 5 introduces the traditional limit concept, using approximation problems as the motivation. Later chapters develop transcendental functions, series, vectors, partial derivatives, and multiple integrals. The theory differs from traditional courses, but the notation and methods for solving practical problems are the same. The text suggests a variety of applications to both natural and social sciences.
Chapters 1 through 4 employ infinitesimals to quickly develop the basic concepts of derivatives, continuity, and integrals. Chapter 5 introduces the traditional limit concept, using approximation problems as the motivation. Later chapters develop transcendental functions, series, vectors, partial derivatives, and multiple integrals. The theory differs from traditional courses, but the notation and methods for solving practical problems are the same. The text suggests a variety of applications to both natural and social sciences.
Autoren-Porträt von H. Jerome Keisler
H. Jerome Keisler
Bibliographische Angaben
- Autor: H. Jerome Keisler
- 2013, 3rd Edition, 1008 Seiten, Englisch
- Verlag: Guilford Publications
- ISBN-10: 0486310469
- ISBN-13: 9780486310466
- Erscheinungsdatum: 25.03.2013
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
eBook Informationen
- Dateiformat: ePub
- Größe: 218 MB
- Mit Kopierschutz
Sprache:
Englisch
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