Differential and Integral Calculus, Volume 2
Published on 20. April 1988
Book
Paperback/Softback
694 pages
978-0-471-60840-0 (ISBN)
Description
Volume 2 of the classic advanced calculus text
Richard Courant's Differential and Integral Calculus is considered an essential text for those working toward a career in physics or other applied math. Volume 2 covers the more advanced concepts of analytical geometry and vector analysis, including multivariable functions, multiple integrals, integration over regions, and much more, with extensive appendices featuring additional instruction and author annotations. The included supplement contains formula and theorem lists, examples, and answers to in-text problems for quick reference.
Richard Courant's Differential and Integral Calculus is considered an essential text for those working toward a career in physics or other applied math. Volume 2 covers the more advanced concepts of analytical geometry and vector analysis, including multivariable functions, multiple integrals, integration over regions, and much more, with extensive appendices featuring additional instruction and author annotations. The included supplement contains formula and theorem lists, examples, and answers to in-text problems for quick reference.
More details
Series
Edition
Wiley Classics Lib edition
Language
English
Place of publication
United States
Publishing group
John Wiley & Sons Inc
Target group
Professional and scholarly
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 37 mm
Weight
991 gr
ISBN-13
978-0-471-60840-0 (9780471608400)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
R. Courant
Differential and Integral Calculus, Volume 2
E-Book
08/2011
Wiley
€109.99
Available for download
R. Courant
Differential and Integral Calculus: v. 2
Book
01/1988
Wiley
€61.90
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Person
Richard Courant (1888 - 1972) obtained his doctorate at the University of Goettingen in 1910. Here, he became Hilbert's assistant. He returned to Goettingen to continue his research after World War I, and founded and headed the university's Mathematical Institute. In 1933, Courant left Germany for England, from whence he went on to the United States after a year. In 1936, he became a professor at the New York University. Here, he headed the Department of Mathematics and was Director of the Institute of Mathematical Sciences - which was subsequently renamed the Courant Institute of Mathematical Sciences. Among other things, Courant is well remembered for his achievement regarding the finite element method, which he set on a solid mathematical basis and which is nowadays the most important way to solve partial differential equations numerically.
Content
Partial table of contents:
Preliminary Remarks on Analytical Geometry and Vector Analysis:Rectangular Coordinates and Vectors, Affine Transformations and theMultiplication of Determinants.
Functions of Several Variables and Their Derivatives: Continuity,The Total Differential of a Function and Its GeometricalMeaning.
Developments and Applications of the Differential Calculus:Implicit Functions, Maxima and Minima.
Multiple Integrals: Transformation of Multiple Integrals, ImproperIntegrals.
Integration over Regions in Several Dimensions: Surface Integrals,Stokes's Theorem in Space.
Differential Equations: Examples on the Mechanics of a Particle,Linear Differential Equations.
Calculus of Variations: Euler's Differential Equation in theSimplest Case, Generalizations.
Functions of a Complex Variable: The Integration of AnalyticFunctions, Cauchy's Formula and Its Applications.
Appendixes.
Index.
Preliminary Remarks on Analytical Geometry and Vector Analysis:Rectangular Coordinates and Vectors, Affine Transformations and theMultiplication of Determinants.
Functions of Several Variables and Their Derivatives: Continuity,The Total Differential of a Function and Its GeometricalMeaning.
Developments and Applications of the Differential Calculus:Implicit Functions, Maxima and Minima.
Multiple Integrals: Transformation of Multiple Integrals, ImproperIntegrals.
Integration over Regions in Several Dimensions: Surface Integrals,Stokes's Theorem in Space.
Differential Equations: Examples on the Mechanics of a Particle,Linear Differential Equations.
Calculus of Variations: Euler's Differential Equation in theSimplest Case, Generalizations.
Functions of a Complex Variable: The Integration of AnalyticFunctions, Cauchy's Formula and Its Applications.
Appendixes.
Index.