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Differential & Integral Calculus Volume 1

by

Differential & Integral Calculus Volume 1 Cover

 

Synopses & Reviews

Publisher Comments:

This set features:

Foundations of Differential Geometry, Volume 1 by Shoshichi Kobayashi and Katsumi Nomizu (978-0-471-15733-5)

Foundations of Differential Geometry, Volume 2 by Shoshichi Kobayashi and Katsumi Nomizu (978-0-471-15732-8)

Differential and Integral Calculus, Volume 1 by Richard Courant (978-0-471-60842-4)

Differential and Integral Calculus, Volume 2 by Richard Courant (978-0-471-60840-0)

Linear Operators, Part 1: General Theory by Neilson Dunford and Jacob T. Schwartz (978-0-471-60848-6)

Linear Operators, Part 2: Spectral Theory, Self Adjoint Operators in Hilbert Space Theory by Neilson Dunford and Jacob T. Schwartz (978-0-471-60847-9)

Linear Operators, Part 3: Spectral Operators by Neilson Dunford and Jacob T. Schwartz (978-0-471-60846-2)

Applied and Computational Complex Analysis, Volume 1, Power Series Integration Conformal Mapping Location of Zero by Peter Henrici (978-0-471-60841-7)

Applied and Computational Complex Analysis, Volume 2, Special Functions-Integral Transforms- Asymptotics-Continued Fractions by Peter Henrici (978-0-471-54289-6)

Applied and Computational Complex Analysis, Volume 3, Discrete Fourier Analysis, Cauchy Integrals, Construction of Conformal Maps, Univalent Functions by Peter Henrici (978-0-471-58986-0)

Synopsis:

“This is the perfect solid-as-they-come, timeless book on the calculus, and most likely it will never be surpassed in this domain.” –Amazon Review

This book is intended for anyone who, having passed through an ordinary course of school mathematics, wishes to apply himself to the study of mathematics or its applications to science and engineering, no matter whether he is a student of a university or technical college, a teacher, or an engineer. Courant leads the way straight to useful knowledge, and aims at making the subject easier to grasp, not only by giving proofs step by step, but also by throwing light on the interconnections and purposes of the whole.

Table of Contents

Partial table of contents:

The Continuum of Numbers, The Concept of Function, The Concept of the Limit of a Sequence, The Concept of Continuity.

The Fundamental Ideas of the Integral and Differential Calculus: The Definite Integral, The Derivative, The Estimation of Integrals and the Mean Value Theorem of the Integral Calculus.

Differentiation and Integration of the Elementary Functions: Maxima and Minima, The Logarithm and the Exponential Function, The Hyperbolic Functions.

Further Development of the Integral Calculus: The Method of Substitution, Integration by Parts, Integration of Rational Functions, Improper Integrals.

Applications.

Taylor's Theorem and the Approximate Expression of Functions by Polynomials.

Numerical Methods.

Infinite Series and Other Limiting Processes.

Fourier Series.

A Sketch of the Theory of Functions of Several Variables.

The Differential Equations for the Simplest Types of Vibration.

Answers and Hints.

Index.

Product Details

ISBN:
9780471608424
Author:
Courant, Richard
Publisher:
John Wiley & Sons
Author:
Courant, R.
Subject:
Mathematics
Subject:
Calculus
Subject:
Mathematics-Calculus
Copyright:
Edition Description:
Volume 1
Series:
Wiley Classics Library Differential and Integral Calculus
Series Volume:
0001
Publication Date:
February 1988
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Pages:
640
Dimensions:
9.02x5.85x1.17 in. 1.81 lbs.

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Differential & Integral Calculus Volume 1 Used Trade Paper
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Product details 640 pages John Wiley & Sons, Incorporated - English 9780471608424 Reviews:
"Synopsis" by , “This is the perfect solid-as-they-come, timeless book on the calculus, and most likely it will never be surpassed in this domain.” –Amazon Review

This book is intended for anyone who, having passed through an ordinary course of school mathematics, wishes to apply himself to the study of mathematics or its applications to science and engineering, no matter whether he is a student of a university or technical college, a teacher, or an engineer. Courant leads the way straight to useful knowledge, and aims at making the subject easier to grasp, not only by giving proofs step by step, but also by throwing light on the interconnections and purposes of the whole.
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