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.
General
Imprint: |
Lap Lambert Academic Publishing
|
Country of origin: |
Germany |
Release date: |
March 2011 |
First published: |
March 2011 |
Authors: |
Ram Bilas Misra
|
Dimensions: |
229 x 152 x 7mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
108 |
ISBN-13: |
978-3-8443-1916-3 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
|
LSN: |
3-8443-1916-6 |
Barcode: |
9783844319163 |
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