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Introduction to Calculus and Analysis II/1 : Introduction to Calculus and Analysis II/1 Chapters 1-4 v. 2/1 - Richard Courant

Introduction to Calculus and Analysis II/1

Introduction to Calculus and Analysis II/1 Chapters 1-4 v. 2/1

Paperback Published: 14th December 1999
ISBN: 9783540665694
Number Of Pages: 556

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From the reviews "These books (Introduction to Calculus and Analysis Vol. I/II) are very well written. The mathematics are rigorous but the many examples that are given and the applications that are treated make the books extremely readable and the arguments easy to understand. These books are ideally suited for an undergraduate calculus course. Each chapter is followed by a number of interesting exercises. More difficult parts are marked with an asterisk. There are many illuminating figures...Of interest to students, mathematicians, scientists and engineers. Even more than that."
Newsletter on Computational and Applied Mathematics, 1991
"...one of the best textbooks introducing several generations of mathematicians to higher mathematics. ... This excellent book is highly recommended both to instructors and students."
Acta Scientiarum Mathematicarum, 1991

Industry Reviews

From the reviews: "These books (Introduction to Calculus and Analysis Vol. I/II) are very well written. The mathematics are rigorous but the many examples that are given and the applications that are treated make the books extremely readable and the arguments easy to understand. These books are ideally suited for an undergraduate calculus course. Each chapter is followed by a number of interesting exercises. More difficult parts are marked with an asterisk. There are many illuminating figures...Of interest to students, mathematicians, scientists and engineers. Even more than that." Newsletter on Computational and Applied Mathematics, 1991 "...one of the best textbooks introducing several generations of mathematicians to higher mathematics. ... This excellent book is highly recommended both to instructors and students." Acta Scientiarum Mathematicarum, 1991

Functions of Several Variables and Their Derivatives: Points and Points Sets in the Plane and in Space
Functions of Several Independent Variables
Continuity
The Partial Derivatives of a Function
The Differential of a Function and Its Geometrical Meaning
Functions of Functions (Compound Functions) and the Introduction of New Independent Variables
The mean Value Theorem and Taylor's Theorem for Functions of Several Variables
Integrals of a Function Depending on a Parameter
Differentials and Line Integrals
The Fundamental Theorem on Integrability of Linear Differential Forms
Appendix.- Vectors, Matrices, Linear Transformations: Operatios with Vectors
Matrices and Linear Transformations
Determinants
Geometrical Interpretation of Determinants
Vector Notions in Analysis.- Developments and Applications of the Differential Calculus: Implicit Functions
Curves and Surfaces in Implicit Form
Systems of Functions, Transformations, and Mappings
Applications
Families of Curves, Families of Surfaces, and Their Envelopes
Alternating Differential Forms
Maxima and Minima
Appendix.- Multiple Integrals: Areas in the Plane
Double Integrals
Integrals over Regions in three and more Dimensions
Space Differentiation. Mass and Density
Reduction of the Multiple Integral to Repeated Single Integrals
Transformation of Multiple Integrals
Improper Multiple Integrals
Geometrical Applications
Physical Applications
Multiple Integrals in Curvilinear Coordinates
Volumes and Surface Areas in Any Number of Dimensions
Improper Single Integrals as Functions of a Parameter
The Fourier Integral
The Eulerian Integrals (Gamma Function)
Appendix
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783540665694
ISBN-10: 3540665692
Series: Classics in Mathematics : Book 2
Audience: General
Format: Paperback
Language: English
Number Of Pages: 556
Published: 14th December 1999
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.88 x 15.65  x 3.2
Weight (kg): 0.87

Earn 222 Qantas Points
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