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Introduction to calculus and analysis /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Introduction to calculus and analysis // Richard Courant, Fritz John.
作者:	Courant, Richard,
其他作者:	John, Fritz,
出版者:	Berlin ;Springer, : ©1999-©2000.,
面頁冊數:	1 online resource (2 volumes (xxv, 954 pages)) :illustrations.
附註:	"Reprint of the 1989 edition."
內容註:	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.
標題:	Calculus. -
電子資源:	http://link.springer.com/openurl?genre=book&isbn=978-3-540-65058-4
電子資源:	http://link.springer.com/openurl?genre=book&isbn=978-3-642-57149-7
ISBN:	354065058X

Introduction to calculus and analysis /
Courant, Richard,1888-1972.

Introduction to calculus and analysis /Richard Courant, Fritz John. - Berlin ;Springer,©1999-©2000. - 1 online resource (2 volumes (xxv, 954 pages)) :illustrations. - Classics in mathematics,. - Classics in mathematics..

"Reprint of the 1989 edition."

Includes bibliographical references and indexes.

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. (...) There are three aspects of Courant and John in which it outshines (some) contemporaries: (i) the extensive historical references, (ii) the chapter on numerical methods, and (iii) the two chapters on physics and geometry.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).

ISBN: 354065058X

Standard No.: 10.1007/978-3-642-58604-0doi

LCCN: 98032314 Subjects--Topical Terms:

517463
Calculus.

LC Class. No.: QA331.5

Dewey Class. No.: 515

Introduction to calculus and analysis /
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100 1 $a Courant, Richard, $d 1888-1972. $3 539479
245 1 0 $a Introduction to calculus and analysis / $c Richard Courant, Fritz John.
260 # $a Berlin ; $a New York : $b Springer, $c ©1999-©2000.
300 $a 1 online resource (2 volumes (xxv, 954 pages)) : $b illustrations.
490 1 $a Classics in mathematics,
500 $a "Reprint of the 1989 edition."
504 $a Includes bibliographical references and indexes.
505 0 # $a 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.
520 # $a 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).
650 # 0 $a Calculus. $3 517463
650 # 0 $a Mathematical analysis. $3 516833
700 1 # $a John, Fritz, $d 1910-1994. $3 888707
776 0 8 $i Printed edition: $z 9783540650584
830 0 $a Classics in mathematics. $3 1041621
856 4 0 $u http://link.springer.com/openurl?genre=book&isbn=978-3-540-65058-4
856 4 0 $u http://link.springer.com/openurl?genre=book&isbn=978-3-642-57149-7