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Lie Algebras, Geometry, and Toda-Type Systems
The book describes integrable Toda type systems and their Lie algebra and differential geometry background.
Extremophiles: Applications in Nanotechnology
This book discusses the extremophiles explored for biosynthesis of nanoparticles. Nanotechnology is a widely emerging field involving interdisciplinary subjects such as biology, physics, chemistry and medicine. A wide variety of microorganisms, such as bacteria, fungi and algae are employed as biological agents for the synthesis of nanoparticles. Novel routes by which extremophiles can be employed to generate nanoparticles have yet to be discovered. The book is divided into 5 major chapters: (1) Major types of nanoparticles in nanotechnology (2) Diversity of microbes in the synthesis of nanoparticles (3) Extremophiles in nanoparticle biosynthesis (4) Applications of nanoparticles produced by extremophiles (5) Challenges and Future perspectives
Fundamental Questions of Practical Cosmology
This book guides readers (astronomers, physicists, and university students) through central questions of Practical Cosmology, a term used by the late Allan Sandage to denote the modern scientific endeavor to find the cosmological model best describing the universe of galaxies, its geometry, size, age, and matter composition. The authors draw on their personal experience in astrophysics and cosmology to explain key concepts of cosmology, both observational and theoretical, and to highlight several items which give cosmology its special character. These highlighted items are: Ideosyncratic features of the “cosmic laboratory”, Malmquist bias in the determination of cosmic distances, Theory of gravitation as a cornerstone of cosmological models, Crucial tests for checking the reality of space expansion, Methods of analyzing the structures of the universe as mapped by galaxies, Usefulness of fractals as a model to describe the large-scale structure and new cosmological physics inherent in the Friedmann world model.
Group Theory and Numerical Analysis
The Workshop on Group Theory and Numerical Analysis brought together scientists working in several different but related areas. The unifying theme was the application of group theory and geometrical methods to the solution of differential and difference equations. The emphasis was on the combination of analytical and numerical methods and also the use of symbolic computation. This meeting was organized under the auspices of the Centre de Recherches Mathematiques, Universite de Montreal (Canada). This volume has the character of a monograph and should represent a useful reference book for scientists working in this highly topical field.
General Principles of Quantum Field Theory
The majority of the "memorable" results of relativistic quantum theory were obtained within the framework of the local quantum field approach. The explanation of the basic principles of the local theory and its mathematical structure has left its mark on all modern activity in this area. Originally, the axiomatic approach arose from attempts to give a mathematical meaning to the quantum field theory of strong interactions (of Yukawa type). The fields in such a theory are realized by operators in Hilbert space with a positive Poincare-invariant scalar product. This "classical" part of the axiomatic approach attained its modern form as far back as the sixties. * It has retained its importance ...
