Mathai, A. M. and R. K. Saxena: The H-function with Ap- plications in Statistics and Other Disciplines. John Wiley and Sons, New York - London - Sydney - Toronto 1978. IX + 192 pp. Preis: US. $25.00. ISBN 0-470-26380-6
✍ Scribed by Hans Joachim Haribald
- Publisher
- John Wiley and Sons
- Year
- 1985
- Tongue
- English
- Weight
- 374 KB
- Volume
- 306
- Category
- Article
- ISSN
- 0004-6337
No coin nor oath required. For personal study only.
✦ Synopsis
Buchbesprechungen &I. YOSHIMURA reviews the connection between the consideration of the early universe and grand unification theories. His emphasis lies on the generation of baryon excess and the monopole formation. B. L. Hu explains the effective vacuum viscosity by particlc production and anomalous-trace effects, and estimates its dissipating action on primordial anisotropies. E. W. KOLB, S. Y . PI, and S. RABY explicate the kinematics of the inflationary phase transition in SUSY models and estimate the different possibilities in the choice of the potentials and couplings. Z. C.Wu gives details of the models for bubble collisions which are important especially for orginal inflation scenarios. T. Lu considers the massive neutrino in cosmology, beginning with the review of the neutrino-mass measurements and concluding with the discussion of consations in a gravitationally coupled neutrino-baryon system. The latter is done in more detail in the paper by L. 2 . FANG, who reviews the' large-scale structure in the universe. He emphasizes the .aspects, which support the invisible matter picture, but he ends with an already two-component model of invisible matter. K. SATO again picks up the subject of the phase transition in the inflationary scenario. Here one observes some repetitions with respect to the first and the third chapter, but in general emphasis and explication is given to other points. K. SATO discusses also the less optimistic aspects and touches the newer development in the construction of inflationary models. A little bit separated from these seven chapters we find the article by R. W. JANTZEN about a unified treatment of homogenous but anisotropic cosmologies. R. W. JANTZEN explicates the classical models in a concise mathematical style, continuing the known monographs of RYAN and RYAN & SHEPLEY.
Taken together, one finds a useful book, which gives conclusions easy to follow, and new aspects in an already widely discussed field. Of course, the reader should know the elements of cosmology, and unified quantum field theory to use the review properly. The different chapters require different mathematical knowledge, as already mentioned. In general, the book will be used by postgraduates working or beginning in the field covered.