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-Ruth Durrer, Department de Physique Theorique, Universite de Geneve
"This textbook provides a full exploration of the developments in cosmological studies over the past hundred years; from the invention of General Relativity (GR) and the somewhat academic earlier exercises of its applications to the Universe, to the present practices of "precision cosmology", as a result of an impressive sequence of extensive observations and discoveries. The text is very clear, well-written throughout, and its various topics are all treated with mathematical rigour.
The book has 14 chapters, which are conveniently organized into three main sections, and each chapter ends with a number of exercises and fully-developed solutions, which provide further tools for a deeper understanding of the subject matters discussed. More than 350 well-selected figures (in black and white) clarify the text's physical assumptions, findings, and formal mathematical treatment. In addition, five appendices illustrate the basic mathematical tools required for a fuller appreciation of the GR theory, which is the foundation at the heart of our present understanding of cosmology. And finally, the bibliography of more than 200 entries will enable the keen student to locate the original works quoted in the text. The contents of the first, and at least parts of the second, section can also be used as a tutorial for students approaching the studies of cosmology, while the remaining parts of the textbook are for more advanced students.
The author has combined his work in this research field with the experience he has acquired over many years of under and post-graduate teaching to create this most valuable textbook. Because of the comprehensive, lucid, and up-to-date coverage of the topics and techniques in this book, it can be recommended not only to students taking the corresponding courses in physics and astronomy curricula, but also as a reference book for astronomers, physicists, and advanced readers that would like to widen their knowledge of the engaging field of cosmology."
- Giancarlo Setti, Emeritus Professor of Astrophysics, Universty of Bologna, Italy
"Cosmology is experiencing a kind of second youth. Proof of this is the very recent Nobel Prize awarded to the father of Modern Physical Cosmology, Jim Peebles. This award comes after decades of continuous discoveries, twists and sensational confirmations of theoretical predictions. The book "Cosmology" by Nicola Vittorio represents this journey better than any other in the field: a journey marked by competing models, observational confirmations, evidence of increasing connections with high energy physics, statistical science, and relativistic gravitation. In these years, the number of texts providing an introduction to cosmology has grown, but almost none of these books provide a 360 degree view of cosmology...This book renders full justice to cosmology and does so with some strong elements of originality, such as the detailed discussion on the statistics of density peaks and peculiar motions in Chapter 6; in addition to the highly innovative choice to emphasize the properties of the cosmological model of Lemaître-Tolman-Bondi in Chapter 9; the detailed description in Chapter 14 of the tools used to define the new epoch of precision cosmology. The author, Nicola Vittorio, is a cosmologist in the international arena who helped to build the new era of Cosmology physics. It is precisely this unique narrative that accompanies the readers - be it university students or scientists eager to enter in the fascinating world of cosmology - which makes this book one of the most effective tools to acquire the basics of modern cosmology in a self-consistent way."
-Sabino Matarrese, Il Nuovo Saggiatore 2019