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Text Book Of Analysis Ii


Author : A.K. Sharma
language : en
Publisher: Discovery Publishing House
Release Date : 2004-01-01


Download Text Book Of Analysis Ii written by A.K. Sharma and has been published by Discovery Publishing House this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-01 with categories.


Contents: Riemann Integral, Functions of a Single Variable, Functions of A Complex Variable, Improper Integrals, Uniform Convergence, Metric Spaces, Beta and Gamma Functions, Differentiation Under Integral Sign, Integration on R2

Publications


Author : Roger Balian
language : en
Publisher:
Release Date : 1975


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Author : 郭铁鹰
language : zh-CN
Publisher:
Release Date : 1991


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英文题名∶Geology of Ngari Tibet(Xizang)

Digest


Author : IEEE Antennas and Propagation Society
language : en
Publisher:
Release Date : 1999


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Mathematical Modeling In Optical Science


Author : Gang Bao
language : en
Publisher: SIAM
Release Date : 2001


Download Mathematical Modeling In Optical Science written by Gang Bao and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Optics categories.


This volume addresses recent developments in mathematical modeling in three areas of optical science: diffractive optics, photonic band gap structures, and waveguides. Particular emphasis is on the formulation of mathematical models and the design and analysis of new computational approaches. The book contains cutting-edge discourses on emerging technology in optics that provides significant challenges and opportunities for applied mathematicians, researchers, and engineers.

Sterreichische Artificial Intelligence Tagung


Author : Harald Trost
language : en
Publisher: Springer-Verlag
Release Date : 2013-03-13


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Morse Theoretic Aspects Of P Laplacian Type Operators


Author : Kanishka Perera
language : en
Publisher: American Mathematical Soc.
Release Date : 2010


Download Morse Theoretic Aspects Of P Laplacian Type Operators written by Kanishka Perera and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.


The purpose of this book is to present a Morse theoretic study of a very general class of homogeneous operators that includes the $p$-Laplacian as a special case. The $p$-Laplacian operator is a quasilinear differential operator that arises in many applications such as non-Newtonian fluid flows and turbulent filtration in porous media. Infinite dimensional Morse theory has been used extensively to study semilinear problems, but only rarely to study the $p$-Laplacian. The standard tools of Morse theory for computing critical groups, such as the Morse lemma, the shifting theorem, and various linking and local linking theorems based on eigenspaces, do not apply to quasilinear problems where the Euler functional is not defined on a Hilbert space or is not $C^2$ or where there are no eigenspaces to work with. Moreover, a complete description of the spectrum of a quasilinear operator is generally not available, and the standard sequence of eigenvalues based on the genus is not useful for obtaining nontrivial critical groups or for constructing linking sets and local linkings. However, one of the main points of this book is that the lack of a complete list of eigenvalues is not an insurmountable obstacle to applying critical point theory. Working with a new sequence of eigenvalues that uses the cohomological index, the authors systematically develop alternative tools such as nonlinear linking and local splitting theories in order to effectively apply Morse theory to quasilinear problems. They obtain nontrivial critical groups in nonlinear eigenvalue problems and use the stability and piercing properties of the cohomological index to construct new linking sets and local splittings that are readily applicable here.