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The H-Function
TheH-function or popularly known in the literature as Fox’sH-function has recently found applications in a large variety of problems connected with reaction, diffusion, reaction–diffusion, engineering and communication, fractional differ- tial and integral equations, many areas of theoretical physics, statistical distribution theory, etc. One of the standard books and most cited book on the topic is the 1978 book of Mathai and Saxena. Since then, the subject has grown a lot, mainly in the elds of applications. Due to popular demand, the authors were requested to - grade and bring out a revised edition of the 1978 book. It was decided to bring out a new book, mostly dealing with recent ap...
Multivariate Statistical Analysis in the Real and Complex Domains
This book explores topics in multivariate statistical analysis, relevant in the real and complex domains. It utilizes simplified and unified notations to render the complex subject matter both accessible and enjoyable, drawing from clear exposition and numerous illustrative examples. The book features an in-depth treatment of theory with a fair balance of applied coverage, and a classroom lecture style so that the learning process feels organic. It also contains original results, with the goal of driving research conversations forward. This will be particularly useful for researchers working in machine learning, biomedical signal processing, and other fields that increasingly rely on complex random variables to model complex-valued data. It can also be used in advanced courses on multivariate analysis. Numerous exercises are included throughout.
Special Functions for Applied Scientists
This book, written by a highly distinguished author, provides the required mathematical tools for researchers active in the physical sciences. The book presents a full suit of elementary functions for scholars at PhD level. The opening chapter introduces elementary classical special functions. The final chapter is devoted to the discussion of functions of matrix argument in the real case. The text and exercises have been class-tested over five different years.
Probability and Statistics
This book offers an introduction to concepts of probability theory, probability distributions relevant in the applied sciences, as well as basics of sampling distributions, estimation and hypothesis testing. As a companion for classes for engineers and scientists, the book also covers applied topics such as model building and experiment design. Contents Random phenomena Probability Random variables Expected values Commonly used discrete distributions Commonly used density functions Joint distributions Some multivariate distributions Collection of random variables Sampling distributions Estimation Interval estimation Tests of statistical hypotheses Model building and regression Design of experiments and analysis of variance Questions and answers
Special Functions: Fractional Calculus and the Pathway for Entropy
This book is a printed edition of the Special Issue "Special Functions: Fractional Calculus and the Pathway for Entropy Dedicated to Professor Dr. A.M. Mathai on the occasion of his 80th Birthday" that was published in Axioms
The Future of Small Telescopes in the New Millennium
This three-volume set details the essential roles that small telescopes should play in 21st century science and how their future productivity can be maximized. Over 70 international experts have created a definitive reference on the present and future of "big science with small telescopes".
Dynamical Systems
Printed Edition of the Special Issue Published in Entropy
Linear Algebra
In order not to intimidate students by a too abstract approach, this textbook on linear algebra is written to be easy to digest by non-mathematicians. It introduces the concepts of vector spaces and mappings between them without dwelling on statements such as theorems and proofs too much. It is also designed to be self-contained, so no other material is required for an understanding of the topics covered. As the basis for courses on space and atmospheric science, remote sensing, geographic information systems, meteorology, climate and satellite communications at UN-affiliated regional centers, various applications of the formal theory are discussed as well. These include differential equations, statistics, optimization and some engineering-motivated problems in physics. Contents Vectors Matrices Determinants Eigenvalues and eigenvectors Some applications of matrices and determinants Matrix series and additional properties of matrices
Organizations and Strategies in Astronomy
Seated in a sun-lit corner of his 17th century Dutch house, his hand touching a celestial globe, Johannes Vermeer's "Astronomer" seems to pon der about the mysteries of the universe. We might make the trip to Paris and ask him, in the Louvre, what precisely is on his mind. Unfortunately, there will be no answer. But we do know what his mind was not on. It was not on the approaching deadlines for the proposals he would have to write for getting funds and telescope-time, not on the meeting of the observing programs committee, not on his refereeing duty for the journal Astronomy & Astrophysics, nor on his university's tightening budget for science. In the Kapteyn Institute at Groningen I stand face to face with the im pressive portrait of J.C. Kapteyn, painted in the year 1918. Seated at his desk he is doing his calculations with pen, pencil and tables, perhaps check ing the work of his skilled staff of human computers. Early in his career he had completed his magnum opus, the Cape Photographic Durchmusterung in collaboration with his close friend David Gill at Capetown, South Africa.
Developing Basic Space Science World-Wide
? J. Andersen Niels Bohr Institute for Astronomy Physics and Geophysics Astronomical Observatory Copenhagen ja@astro.ku.dk The development of astronomy worldwide begins at the roots: Already from childhood, humans of all nations and civilizations seem to share an innate fascination with the sky. Yet, people in different regions of the world have vastly different possibilities for pursuing this interest. In wealthy, industrialised societies the way is open to a school or higher education in science, possibly leading to a career in astronomy or basic or applied space science for the benefit of the country as well as the individual. In other regions, neither the financial nor the trained human resources are sufficient to offer that avenue to the future of the young generation, or those intellectual resources to the development of their country. This book addresses ways and means by which these obstacles can be, if not fully overcome, then at least significantly reduced.
