Introduction to Calculus and Analysis. Vol.1 [Softcover reprint of the original 1st ed. 1989] 1461389577, 978-1-4613-8957-6, 978-1-4613-8955-2, 1461389550

From the Preface: (...) The book is addressed to students on various levels, to mathematicians, scientists, engineers. I

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English Pages 661 [683] Year 1999

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Introduction to Calculus and Analysis. Vol.1 [Softcover reprint of the original 1st ed. 1989]
1461389577, 978-1-4613-8957-6, 978-1-4613-8955-2, 1461389550

Author / Uploaded
Richard Courant
Fritz John

Table of contents :
Front Matter....Pages i-xxiii
Introduction....Pages 1-118
The Fundamental Ideas of the Integral and Differential Calculus....Pages 119-200
The Techniques of Calculus....Pages 201-323
Applications in Physics and Geometry....Pages 324-439
Taylor’s Expansion....Pages 440-480
Numerical Methods....Pages 481-509
Infinite Sums and Products....Pages 510-570
Trigonometric Series....Pages 571-632
Differential Equations for the Simplest Types of Vibration....Pages 633-649
Back Matter....Pages 650-661

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