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Chow introduces the mathematical methods essential to understanding and applying general relativity--tensor calculus, some differential geometry, etc.--but leaves to more advanced references derivations that a beginning student would likely find overly long and tedious. I like the fact that the author employs standard tensor analysis--which requires only basic calculus for its understanding--and resists the temptation to adopt more powerful mathematical formalisms (like exterior calculus and differential forms) used by researchers in the field. In this way, the student can concentrate on learning physics--and not be distracted by the complexities of unfamiliar mathematical methods.
The book also offers comprehensive discussion of the physics of black holes. Here again the author has hit just the right level of presentation: sufficient mathematical detail to demonstrate or make plausible the physical attributes of black holes (...in contrast to "hand-waving" discussionsfound in popularisations of the subject), yet not so much mathematics as to lose track of the physics in an impenetrable forest of equations. An equally strong point is the author's discussion of the most exciting contemporary issues in astrophysics apart from black holes: recent measurements of the cosmic microwave background, the existence of the cosmological constant, dark matter, dark energy and the accelerated expansion of the universe. The final chapters on unification and inflation are also very well done and not generally found (as far as I can tell) in other introductory treatments of general relativity.
In sum, the book is highly informative and has a user-friendly style, which should make it an attractive choice for teachers and students.
The book also offers comprehensive discussion of the physics of black holes. Here again the author has hit just the right level of presentation: sufficient mathematical detail to demonstrate or make plausible the physical attributes of black holes (...in contrast to "hand-waving" discussionsfound in popularisations of the subject), yet not so much mathematics as to lose track of the physics in an impenetrable forest of equations. An equally strong point is the author's discussion of the most exciting contemporary issues in astrophysics apart from black holes: recent measurements of the cosmic microwave background, the existence of the cosmological constant, dark matter, dark energy and the accelerated expansion of the universe. The final chapters on unification and inflation are also very well done and not generally found (as far as I can tell) in other introductory treatments of general relativity.
In sum, the book is highly informative and has a user-friendly style, which should make it an attractive choice for teachers and students.
From the reviews:
"Chow ... has successfully filled the gap in the literature between introductory texts for lay readers interested in cosmology and advanced works. Chow's book is aimed at undergraduates but is accessible to all readers ... . Chapters can stand alone for quick reference, yet the book's progressive nature makes it a viable course resource for supporting all physics curricula. ... this work will be suitable for all science libraries and collections. Summing Up: Recommended. General readers; lower-division undergraduates through graduate students." (J. H. Murphy, CHOICE, Vol. 45 (8), 2008)
"This book has its roots in the lecture notes of Professor Chow, who taught an undergraduate course in relativity and cosmology ... . I was interested by the ideas and the historical aspects developed ... on the inflationary universe and the physics of the very early universe. ... The book may be useful for general information on cosmology and to a physicist already well prepared in general relativity and cosmology to prepare a course on these subjects." (Fernande Grandjean, Belgian Physical Society Magazine, Issue 2, June, 2009)
"Chow ... has successfully filled the gap in the literature between introductory texts for lay readers interested in cosmology and advanced works. Chow's book is aimed at undergraduates but is accessible to all readers ... . Chapters can stand alone for quick reference, yet the book's progressive nature makes it a viable course resource for supporting all physics curricula. ... this work will be suitable for all science libraries and collections. Summing Up: Recommended. General readers; lower-division undergraduates through graduate students." (J. H. Murphy, CHOICE, Vol. 45 (8), 2008)
"This book has its roots in the lecture notes of Professor Chow, who taught an undergraduate course in relativity and cosmology ... . I was interested by the ideas and the historical aspects developed ... on the inflationary universe and the physics of the very early universe. ... The book may be useful for general information on cosmology and to a physicist already well prepared in general relativity and cosmology to prepare a course on these subjects." (Fernande Grandjean, Belgian Physical Society Magazine, Issue 2, June, 2009)