Advanced Integral Calculus: Convergence of Integrals, Eulerian Integrals, Multiple Integrals, Volume and Areas of Surfaces - Couverture souple

MISRA, RAM BILAS

 
9783844319163: Advanced Integral Calculus: Convergence of Integrals, Eulerian Integrals, Multiple Integrals, Volume and Areas of Surfaces
Couverture souple
ISBN 10 : 3844319166 ISBN 13 : 9783844319163
Editeur : LAP LAMBERT Academic Publishing, 2011

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Biographie de l'auteur

Prof Dr RB Misra has been teaching Maths at UG/PG levels since 1962. Starting from the Uni of Allahabad (4th oldest Uni in the Indian sub-continent) he taught at various universities within India and abroad.He published over 150 Res. Articles in Maths in leading journals of international repute and has been a regular Reviewer in MR and Zbl.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2011
Langue
anglais
ISBN 10 
3844319166
ISBN 13 
9783844319163
Reliure
Broché
Nombre de pages
108
Coordonnées du fabricant
non disponible
Personne responsable
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