Calculus Light

Buch | Hardcover
XI, 299 Seiten
2011 | 2011
Springer Berlin (Verlag)
978-3-642-17847-4 (ISBN)
160,49 inkl. MwSt
Aimed at students majoring in other subjects but requiring a grounding in calculus, this foundation text on the subject covers the historical background of the theory before covering classic calculus and practical applications such as the Fourier series.

Another Calculus book? As long as students find calculus scary, the failure rate in mathematics is higher than in all other subjects, and as long as most people mistakenly believe that only geniuses can learn and understand mathematics, there will always be room for a new book of Calculus. We call it Calculus Light.

This book is designed for a one semester course in "light" calculus - mostly single variable, meant to be used by undergraduate students without a wide mathematical background and who do not major in mathematics but study subjects such as engineering, biology or management information systems.

The first chapter contains a historical background of calculus. Every scientific achievement involves people and therefore characterized by victories and disappointments, intrigues and hope. All of these elements exist in the story behind calculus and when you add the time dimension, starting 2400 years ago, it is a saga. We hope the reader enjoys reading this chapter as much as we enjoyed the writing.

In addition to classic calculus the book provides tools for practical applications such as Fourier series, Lagrange multipliers and elementary numerical methods.

Historical Background.- The Number System.- Functions, Sequences and Limits.- Continous Functions.- Differentiable Functions.- Integration.- Infinite Series and Taylor Series.- Fourier Series.- Elementary Numerical Methods.- Special Topics.- Solutions to selected problems.

From the reviews:

"Friedman (Ben Gurion Univ. of the Niger, Israel) and Kandel (Univ. of South Florida) provide what most mathematics instructors would call an introduction to analysis of one real variable. ... Concluding with special topics including Fourier series and numerical methods, this textbook would make for a very ambitious one-semester course. Summing Up: Recommended. Lower- and upper-division undergraduates." (D. S. Larson, Choice, Vol. 49 (5), January, 2012)

Erscheint lt. Verlag 11.3.2011
Reihe/Serie Intelligent Systems Reference Library
Zusatzinfo XI, 299 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 610 g
Themenwelt Informatik Theorie / Studium Künstliche Intelligenz / Robotik
Mathematik / Informatik Mathematik Angewandte Mathematik
Technik
Schlagworte Analysis; Handbuch/Lehrbuch (Ingenieure/Techniker) • Calculus • Computational Intelligence • Information and Communication, Circuits • Mathematical Methods
ISBN-10 3-642-17847-2 / 3642178472
ISBN-13 978-3-642-17847-4 / 9783642178474
Zustand Neuware
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