Monographs and Surveys in Pure and Applied Mathematics
Interfacial Phenomena and Convection
1st Edition
By Alexander A. Nepomnyashchy, Manuel G. Velarde, Pierre Colinet
September 19, 2019
Interfacial phenomena driven by heat or mass transfer are widespread in science and various branches of engineering. Research in this area has become quite active in recent years, attributable in part, at least, to the entry of physicists and their sophisticated experimental techniques into the ...
Difference Methods for Singular Perturbation Problems
1st Edition
By Grigory I. Shishkin, Lidia P. Shishkina
September 05, 2019
Difference Methods for Singular Perturbation Problems focuses on the development of robust difference schemes for wide classes of boundary value problems. It justifies the ε-uniform convergence of these schemes and surveys the latest approaches important for further progress in numerical methods. ...
Higher Order Derivatives
1st Edition
By Satya Mukhopadhyay
September 05, 2019
The concept of higher order derivatives is useful in many branches of mathematics and its applications. As they are useful in many places, nth order derivatives are often defined directly. Higher Order Derivatives discusses these derivatives, their uses, and the relations among them. It covers ...
Isometries on Banach Spaces: function spaces
1st Edition
By Richard J. Fleming, James E. Jamison
September 05, 2019
Fundamental to the study of any mathematical structure is an understanding of its symmetries. In the class of Banach spaces, this leads naturally to a study of isometries-the linear transformations that preserve distances. In his foundational treatise, Banach showed that every linear isometry on ...
Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications
1st Edition
By Janusz Mierczynski, Wenxian Shen
September 05, 2019
Providing a basic tool for studying nonlinear problems, Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications focuses on the principal spectral theory for general time-dependent and random parabolic equations and systems. The text contains many new results and considers ...
Stability of Infinite Dimensional Stochastic Differential Equations with Applications
1st Edition
By Kai Liu
September 05, 2019
Stochastic differential equations in infinite dimensional spaces are motivated by the theory and analysis of stochastic processes and by applications such as stochastic control, population biology, and turbulence, where the analysis and control of such systems involves investigating their stability...
Supersymmetry In Quantum and Classical Mechanics
1st Edition
By Bijan Kumar Bagchi
September 05, 2019
Following Witten's remarkable discovery of the quantum mechanical scheme in which all the salient features of supersymmetry are embedded, SCQM (supersymmetric classical and quantum mechanics) has become a separate area of research . In recent years, progress in this field has been dramatic and the ...
The Thermophysics of Porous Media
1st Edition
By T.J.T. Spanos
September 05, 2019
Models for the mechanical behavior of porous media introduced more than 50 years ago are still relied upon today, but more recent work shows that, in some cases, they may violate the laws of thermodynamics. In The Thermophysics of Porous Media, the author shows that physical consistency requires a ...
Asymptotics and Borel Summability
1st Edition
By Ovidiu Costin
December 04, 2008
Incorporating substantial developments from the last thirty years into one resource, Asymptotics and Borel Summability provides a self-contained introduction to asymptotic analysis with special emphasis on topics not covered in traditional asymptotics books. The author explains basic ideas, ...
Isometries in Banach Spaces: Vector-valued Function Spaces and Operator Spaces, Volume Two
1st Edition
By Richard J. Fleming, James E. Jamison
November 15, 2007
A continuation of the authors’ previous book, Isometries on Banach Spaces: Vector-valued Function Spaces and Operator Spaces, Volume Two covers much of the work that has been done on characterizing isometries on various Banach spaces. Picking up where the first volume left off, the book begins ...
Fractional Cauchy Transforms
1st Edition
By Rita A. Hibschweiler, Thomas H. MacGregor
November 01, 2005
Presenting new results along with research spanning five decades, Fractional Cauchy Transforms provides a full treatment of the topic, from its roots in classical complex analysis to its current state. Self-contained, it includes introductory material and classical results, such as those associated...
An Elementary Approach to Homological Algebra
1st Edition
By L.R. Vermani
May 28, 2003
Homological algebra was developed as an area of study almost 50 years ago, and many books on the subject exist. However, few, if any, of these books are written at a level appropriate for students approaching the subject for the first time.An Elementary Approach to Homological Algebra fills that ...