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This book stresses the unifying power of the geometrical framework in bringing together concepts from the different areas of physics. Common underpinnings of .
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  1. Introduction to Geometry;
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Click on the cover image above to read some pages of this book! This work stresses the unifying power of the geometrical framework in bringing together concepts from the different areas of physics. Common underpinnings of optics, elasticity, gravitation, relativistic fields, particle mechanics and others subjects are underlined. It attempts to extricate the notion of space currently in the physical literature from the metric connotation.


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  • Area 1: Differential geometry, global analysis, and mathematical physics.
  • (1) Geometrical Optics: (2) Geometrische Optik..
  • It consists of a main text and a topical section. The main text introduces the mathematical ideas and serves as a guide to the topical section. Help Centre. My Wishlist Sign In Join. Be the first to write a review. Add to Wishlist. Ships in 7 to 10 business days. Link Either by signing into your account or linking your membership details before your order is placed. Description Table of Contents Product Details Click on the cover image above to read some pages of this book! Manifolds p. All Rights Reserved.

    More Books in Physics See All. Math Art Truth, Beauty, and Equations. In Stock. The Art of Electronics. This book is notable for making a serious attempt to provide an introduction to both SR and GR, using only basic algebra and calculus no tensors. It does treat some aspects of some exact solutions in GR but does not adequately cover the field equations and thus cannot be considered a suitable GR text. But it may be helpful to the timorous reader attempting to make the transition from SR to GR. This book is devoted to a rigorous mathematical treatment of the flat Minkowski spacetime of special relativity.

    It pays particular attention to the Lorentz group and the causal structure of the theory, but also treats the electromagnetic field tensor, spinors, and the topology of Minkowski spacetime.

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    This book won't teach you much physics, but is useful if you want to see special relativity put on a firm mathematical basis, or examine some of the more intricate technical implications of Lorentz transformations or SR causality. I would not recommend the Dover reprint by Aharoni outdated, poorly written, clumsy notation. I am not familiar with the Dover reprint by Shadowitz.

    Now we are starting to get to the really good stuff! A beautifully illustrated, clearly and concisely written introduction to GR the first few chapters, on SR, are too sketchy to be valuable except as a review. On balance, I think this is probably the best introduction for the average undergraduate student at present. It features a particularly well balanced selection of topics. This book covers fewer topics than d'Inverno but in greater depth, and at a comparable level. In places I find it a bit more turgid than some other texts, but Schutz's discussion of the geometric nature of tensors in general and the matter tensor in particular is outstanding.

    Probably a bit more demanding than d'Inverno , this is probably the best organized GR textbook yet to appear. Clearly written and well translated from the original German , featuring a well balanced selection of topics, and full of useful insight.

    Geometric Optics

    One of the most concise introductions available. Covers much less than Stephani or d'Inverno , but clear and well written. Advanced undergraduate to beginning gradate level. The textbook of choice for the discerning graduate student.

    An Introduction to Geometrical Physics by Jose Geraldo Pereira | | Booktopia

    Well written, with a good selection of topics, including careful discussions of tensor formalism, the basic singularity, stability, and uniqueness theorems, as well as black hole thermodynamics. But I think every serious student must own this at least as a supplementary text and dip into it on a regular basis.

    MTW was the first "modern" GR textbook, and has inspired two generations of students. While in many respects it is now rather out of date, and in a few places is pretty darn confusing, this beautifully illustrated book features fascinating insights found nowhere else on almost every one of its odd pages.

    All of these books have exercises; DINV is particular well suited for self study since it also has solutions in the back. And I'd recommend MTW to anyone, anywhere, any time.

    For the convenience of the rank beginner who wants to purchase one or more of these textbooks, here is a very rough guide to the coverage: all of these books introduce tensors, including the matter and Riemann and Ricci tensors. All discuss geodesics, connections and covariant derivatives. All discuss the Equivalence Principle, weak field theory, and at least one interpretation of the field equations. All discuss the classic predictions such as light bending, perihelion advance, gravitational redshift. Among the exact solutions, all discuss in some detail the "usual suspects" Schwarzschild vacuum and Friedmann dust.

    All discuss the linearized theory of gravitational waves and Cartan's method of curvature forms. Five of the six textbooks also discuss at length various of the following important topics: spinors, algebraic symmetries of tensors, the variational principle formulation of GR, the initial value formulation of GR, the Petrov classification of curvature types, EXACT gravitational wave solutions, the singularity theorems, Penrose diagrams conformal compactification , Hawking radiation, and thermodynamics of black holes.

    Among exact solutions beyond "the usual suspects", DINV features detailed discussions of the Kerr-Newman vacuum, Reissner-Nordstrom electrovac, Tolman fluid, de Sitter and anti-de Sitter cosmological solutions. HT also features a particularly clear and concise treatment of the Bianchi classification of homogeneous spacelike hyperslices. While I think the six books listed above are among the best currently available textbooks, there are several others worthy of special mention. Since the only way to learn a mathematical theory is by doing problems, the more the merrier, this book is an invaluable resource for serious students.

    Presents the bare essentials geodesics, curvature, the field equation, "the usual suspects" in a concise and accessible manner.

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    But it uses coordinate notation exclusively, and thus cannot be considered a "modern" introduction despite the date of publication , but it can be good place to learn the essential! Yes, that Dirac. In his inimitable, incredibly concise style, Dirac offers a sixty page sketch of GR, with all the math but not a single picture.

    First published in , this book doesn't cover any of the modern developments in the subject. If you are very impatient and have a very strong background in advanced calculus and some differential geometry, this just might be the right book for you.

    Introduction To Geometrical Physics, An

    Otherwise it will sail right over your head. No exercises. Most GR books follow more or less in Einstein's footsteps in motivating the field equation. These authors take a different approach which has become increasingly important in recent years; they motivate the linearized field equation by a careful formal analogy with Maxwell's theory of electromagnetism, and then argue their way to the full field equation.

    Strong on the important formal analogies with EM, but weak on geometry. It also has one of the best treatments to be found among introductory GR texts of the experimental and observational consequences of the theory, along with a nice discussion of newtonian gravity. I don't know this book but I've seen it somewhere; as I recall it looked somewhat forbidding. A concise and readable introduction, emphasizing modern coordinate free notation.

    Has some good exercises.