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Record Nr. |
UNINA9910962859003321 |
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Autore |
Courant Richard <1888-1972.> |
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Titolo |
Introduction to Calculus and Analysis I / / by Richard Courant, Fritz John |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1999 |
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ISBN |
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Edizione |
[1st ed. 1999.] |
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Descrizione fisica |
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1 online resource (XXIII, 661 p. 184 illus.) |
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Collana |
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Classics in Mathematics, , 2512-5257 |
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Altri autori (Persone) |
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JohnFritz <1910-1994.> |
CourantRichard <1888-1972.> |
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Disciplina |
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Soggetti |
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Functions of real variables |
Functions, Special |
Real Functions |
Special Functions |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Based on the first author's Vorlesungen uber Differential- und Integralrechnung. |
Reprint. Originally published: New York : Interscience Publishers, 1965. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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 |
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