Introduction to Calculus and Analysis I

Richard Courant, Fritz John (Autoren)

Buch | Softcover

XXIII, 661 Seiten

1998 | 1999
Springer Berlin (Verlag)
978-3-540-65058-4 (ISBN)

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From the reviews: "Volume 1 covers a basic course in real analysis of one variable and Fourier series. It is well-illustrated, well-motivated and very well-provided with a multitude of unusually useful and accessible exercises. (...) There are three aspects of Courant and John in which it outshines (some) contemporaries: (i) the extensive historical references, (ii) the chapter on numerical methods, and (iii) the two chapters on physics and geometry. The exercises in Courant and John are put together purposefully, and either look numerically interesting, or are intuitively significant, or lead to applications. It is the best text known to the reviewer for anyone trying to make an analysis course less abstract. (...)" The Mathematical Gazette (75.1991.471)

Richard Courant was born in 1888 in a small town of what is now Poland, and died in New Rochelle, N.Y. in 1972. He received his doctorate from the legendary David Hilbert in Göttingen, where later he founded and directed its famed mathematics Institute, a Mecca for mathematicians in the twenties. In 1933 the Nazi government dismissed Courant for being Jewish, and he emigrated to the United States. He found, in New York, what he called "a reservoir of talent" to be tapped. He built, at New York University, a new mathematical Sciences Institute that shares the philosophy of its illustrious predecessor and rivals it in worldwide influence. For Courant mathematics was an adventure, with applications forming a vital part.

1 Introduction.- 2 The Fundamental Ideas of the Integral and Differential Calculus.- 3 The Techniques of Calculus.- 4 Applications in Physics and Geometry.- 5 Taylor s Expansion.- 6 Numerical Methods.- 7 Infinite Sums and Products.- 8 Trigonometric Series.- 9 Differential Equations for the Simplest Types of Vibration.- List of Biographical Dates.

From the reviews: "Volume 1 covers a basic course in real analysis of one variable and Fourier series. It is well-illustrated, well-motivated and very well-provided with a multitude of unusually useful and accessible exercises. [...]It is the best text known to the reviewer for anyone trying to make an analysis course less abstract." --The Mathematical Gazette

Erscheint lt. Verlag	3.12.1998
Reihe/Serie	Classics in Mathematics
Zusatzinfo	XXIII, 661 p. 184 illus.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	1004 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Analysis • Calculus • differential equation • Differenzialrechnung • Fourier series • Integralrechnung • Numerical Methods • Real analysis
ISBN-10	3-540-65058-X / 354065058X
ISBN-13	978-3-540-65058-4 / 9783540650584
Zustand	Neuware