Bookcover of Advanced Integral Calculus
Booktitle:

Advanced Integral Calculus

Convergence of Integrals, Eulerian Integrals, Multiple Integrals, Volume and Areas of Surfaces

LAP LAMBERT Academic Publishing (2011-03-14 )

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ISBN-13:

978-3-8443-1916-3

ISBN-10:
3844319166
EAN:
9783844319163
Book language:
English
Blurb/Shorttext:
The book offers a second course on Integral Calculus (of functions of real variables) for Graduate and Engineering students. Convergence (including uniform convergence) of improper integrals and various tests of Abel, Dirichlet and Weierstrass for the same are discussed. Improper integrals of quotient functions of various forms are evaluated. Integrations of continuous functions of 2 variables are discussed in relation with differential and integral properties of parameters in the functions. Eulerian integrals: Beta and Gamma functions, their transformation properties, relations connecting them, reflection and duplication formulae for the Gamma function and Frullani's integral are given. Double and triple integrals giving volume and areas of surfaces are discussed in the last 3 chapters. Numerous examples are solved illustrating the methods of change of order of integration. Dirichlet's integrals of 2nd, 3rd and pth orders are evaluated. Transfor- mations of integrals into 2 and 3-dimensional polar coordinates including Dirichlet's and Liouville's integrals are given. A short bibliography of the subject and an alphabetical index are added at the end.
Publishing house:
LAP LAMBERT Academic Publishing
Website:
https://www.lap-publishing.com/
By (author) :
RAM BILAS MISRA
Number of pages:
108
Published at:
2011-03-14
Stock:
Available
Category:
Mathematics
Price:
49.00 €
Keywords:
Integral Calculus

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