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Real and Stochastic Analysis
Author: M. M. Rao
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
As in the case of the two previous volumes published in 1986 and 1997, the purpose of this monograph is to focus the interplay between real (functional) analysis and stochastic analysis show their mutual benefits and advance the subjects. The presentation of each article, given as a chapter, is in a research-expository style covering the respective topics in depth. In fact, most of the details are included so that each work is essentially self contained and thus will be of use both for advanced graduate students and other researchers interested in the areas considered. Moreover, numerous new problems for future research are suggested in each chapter. The presented articles contain a substantial number of new results as well as unified and simplified accounts of previously known ones. A large part of the material cov ered is on stochastic differential equations on various structures, together with some applications. Although Brownian motion plays a key role, (semi-) martingale theory is important for a considerable extent. Moreover, noncommutative analysis and probabil ity have a prominent role in some chapters, with new ideas and results. A more detailed outline of each of the articles appears in the introduction and outline to assist readers in selecting and starting their work. All chapters have been reviewed.
Space Debris
When the first sputnik was launched and the space era began, few gave thought to the possible negative impact of putting satellites into orbit. In fact, man's space activity has led to the formation of a new media named "space debris," i.e. man-made objects and their fragments launched into space, currently inactive and no longer serving any useful purpose. Space Debris: Hazard Evaluation and Mitigation will appeal to readers unfamiliar with the issues, as well as experts and designers. It introduces concepts behind the problems of space ecology. The volume features actual data on the space debris environment; new mathematical models for space debris evolution, production and self-production; description of the existing software and concepts for shield design. The author also reviews methods of collision risk assessment, including the attitudes and inclinations of orbits, collision hazard evaluation and suggestions for preventative measures.
Mathematical Methods
Author: Sadri Hassani
language: en
Publisher: Springer Science & Business Media
Release Date: 2008-10-27
Intended to follow the usual introductory physics courses, this book has the unique feature of addressing the mathematical needs of sophomores and juniors in physics, engineering and other related fields. Many original, lucid, and relevant examples from the physical sciences, problems at the ends of chapters, and boxes to emphasize important concepts help guide the student through the material. Beginning with reviews of vector algebra and differential and integral calculus, the book continues with infinite series, vector analysis, complex algebra and analysis, ordinary and partial differential equations. Discussions of numerical analysis, nonlinear dynamics and chaos, and the Dirac delta function provide an introduction to modern topics in mathematical physics. This new edition has been made more user-friendly through organization into convenient, shorter chapters. Also, it includes an entirely new section on Probability and plenty of new material on tensors and integral transforms.