The nature of time has long fascinated physicists and the general public. As an irresistible flow into which all events are embedded, time cannot be slowed or accelerated, nor can it be undone or turned back. In The River of Time, Igor Novikov describes how the thinkers throughout history have defined time and how these discoveries demonstrate that humans may influence time's flow. He describes how time flows in specific regions of the Universe, how it stops in black holes and splashes over the brim in white holes, and how time may convert into space and vice versa. Exploring time's genesis...

This book is the first complete account of the scientific life and work of Edwin Hubble, whose discoveries form the basis of all theories of the evolution of the universe. One of the outstanding astronomers of the twentieth century, Hubble studied the velocities or redshifts of galaxies and discovered that the universe is expanding. He convincingly proved that our galaxy is only one of countless galaxies and thus paved the way for the exploration of an immense world beyond the limits of our knowledge. The exploding universe proposed by Hubble, now termed the Big Bang, is used to explain the...

Igor Novikov has been hailed as "Russia's answer to Stephen Hawking." In this popular account of the cosmic importance of black holes, he explores the properties and significance of these mysterious phenomena, which represent the most condensed state of matter in the Universe. Black holes are formed by the force of gravity, warping space and time, crushing stars and perhaps galaxies, too, until they fall in on themselves. Novikov's fascinating account illuminates this most enigmatic feature of our Universe with exemplary clarity, illustrated with a series of inspired cartoon drawings.

Spectacular observational breakthroughs, particularly by the WMAP satellite, have led to a new epoch of CMB science long after its original discovery. Taking a physical approach, the authors of this volume probe the problem of the 'darkness' of the Universe: the origin and evolution of dark energy and matter in the cosmos. Starting with the observational background of modern cosmology, they provide an accessible review of this fascinating yet complex subject. Topics discussed include the kinetics of the electromagnetic radiation in the Universe, the ionization history of cosmic plamas, the...

In 1909 Alfred Haar introduced into analysis a remarkable system which bears his name. The Haar system is a complete orthonormal system on 0,1] and the Fourier-Haar series for arbitrary continuous function converges uniformly to this function.
This volume is devoted to the investigation of the Haar system from the operator theory point of view. The main subjects treated are: classical results on unconditional convergence of the Haar series in modern presentation; Fourier-Haar coefficients; reproducibility; martingales; monotone bases in rearrangement invariant spaces; rearrangements...

It is not an exaggeration to say that one of the most exciting predictions of Einstein's theory of gravitation is that there may exist "black holes": putative objects whose gravitational fields are so strong that no physical bodies or signals can break free of their pull and escape. The proof that black holes do exist, and an analysis of their properties, would have a significance going far beyond astrophysics. Indeed, what is involved is not just the discovery of yet another even if extremely remarkable, astro physical object, but a test of the correctness of our understanding of the...

One of the most exciting predictions of Einstein's theory of gravitationisthat there may exist 'black holes': putative objects whose gravitational fields are so strong that no physical bodies and signals can break free of their pull and escape. Even though a completely reliable discovery of a black hole has not yet been made, several objects among those scrutinized by astrophysicists will very likely be conformed as black holes. The proof that they do exist, and an analysis of their properties, would have a significance going far beyond astrophysics. Indeed, what is involved is not just the...

Spectacular observational breakthroughs, particularly by the WMAP satellite, have led to a new epoch of CMB science long after its original discovery. Taking a physical approach, the authors of this volume, which was first published in 2006, probe the problem of the 'darkness' of the Universe: the origin and evolution of dark energy and matter in the cosmos. Starting with the observational background of modern cosmology, they provide an accessible review of this fascinating yet complex subject. Topics discussed include the kinetics of the electromagnetic radiation in the Universe, the...