--- product_id: 253379838 title: "The Geometry of Physics: An Introduction" price: "£114.16" currency: GBP in_stock: true reviews_count: 5 url: https://www.desertcart.co.uk/products/253379838-the-geometry-of-physics-an-introduction store_origin: GB region: United Kingdom --- # The Geometry of Physics: An Introduction **Price:** £114.16 **Availability:** ✅ In Stock ## Quick Answers - **What is this?** The Geometry of Physics: An Introduction - **How much does it cost?** £114.16 with free shipping - **Is it available?** Yes, in stock and ready to ship - **Where can I buy it?** [www.desertcart.co.uk](https://www.desertcart.co.uk/products/253379838-the-geometry-of-physics-an-introduction) ## Best For - Customers looking for quality international products ## Why This Product - Free international shipping included - Worldwide delivery with tracking - 15-day hassle-free returns ## Description Buy The Geometry of Physics: An Introduction by Frankel, Theodore online on desertcart.ae at best prices. ✓ Fast and free shipping ✓ free returns ✓ cash on delivery available on eligible purchase. Review: Some texts are designed to increase understanding, others to aid in practical computation, making them as much references as pedagogic tools. The latter are especially suited for self study. In this new edition, Frankel does something amazing-- instead of completely reorganizing an already stellar text, he "ties it all together" with a new "example" introduction-- a 34 page (roman numeral numbered!) "preface" illustrating Cartan's exterior differential forms with a "metal torsion" example application to Cauchy's stress tensor. Don't mistakely think that this means Frankel limits this text to the differential geometry of engineering mechanics and materials-- he covers a vast field of physics all the way from classic to quantum, sans string but with numerous gauge applications, in 750 packed pages, most containing fully worked out calculations for the aforementioned reference value. It seems today that all publishers just parrot "for grad students or advanced undergrads with a year of calculus and some linear algebra." Is this to sell more books? Not sure, but I wouldn't tackle this for self study or even calculative reference without "advanced" calculus (in my definition, analysis) PLUS a good course in analytic geometry first. Although this is packed with AG, it does not start by teaching AG-- the geometry knowledge is assumed, and we're then treated to an astonishing adventure of detailed APPLICATIONS of geometry to nearly every aspect of physics, including numerous cutting edge and intractable problems. There also are NUMEROUS engineering applications examples, blending physics, engineering and geometry in a way no other text even attempts. I've long felt that some pundits who tease the Greeks for seeing everything as geometric would someday eat their words. Well.. wow. This volume clearly demonstrates how much what comes round goes round. OK, looking at physical spheres is not the same as spacetime curvature spheres, let alone "field" geometry that isn't even a physical geometry, but the geometry of a vector bundle! So, to be honest, if you see the word "introduction" in this text's title, and think you'll be guided through the UNDERSTANDING of Lie algebras, matrix calculus, Yang-Mills and other gauges via geometry-- be careful. "Introduction" as I read it after reading this text means intro to the APPLICATION and CALCULATION techniques available to someone already well grounded in analytic geometry. Don't get me wrong, the author is simply amazing, as were the very successful first two editions, in carefully explaining many neglected applications of AG to physics, but this book would be 3,000 pages if we actually expected it to "introduce" every notation. So, it does blast right off assuming a good base in analytic geometry, and a fair base in physics. One really cool dimension for self-study-- the author is obviously first a mathematician, and within that a geometer, so the pedagogic artifact from older days of showing NUMEROUS diagrams and illustrations made its way into this fine text. Even if I weigh the overall presentation as more computational that didactic, the illustrations themselves bely that evaluation-- each one gives one of those "aha" moments. The author also does take the time to explain the WHY of certain formula elements so you really "get" them. For example, if we're given an element where x^(exp polynomial) = b*(expression), the author WILL digress enough to remind us that b is acting as a proportionality constant. I find this really helpful as a way to generalize the lesson learned, otherwise we're just rote memorizing or referring back to a process we're not really getting! Highly recommended with the caveats mentioned about brushing up on your analytic/ differential geometry. Library Picks reviews only for the benefit of desertcart shoppers and has nothing to do with desertcart, the authors, manufacturers or publishers of the items we review. We always buy the items we review for the sake of objectivity, and although we search for gems, are not shy about trashing an item if it's a waste of time or money for desertcart shoppers. If the reviewer identifies herself, her job or her field, it is only as a point of reference to help you gauge the background and any biases. Review: Excellent ## Technical Specifications | Specification | Value | |---------------|-------| | Best Sellers Rank | #238,832 in Books ( See Top 100 in Books ) #106 in Mathematical Physics #164 in Geometry & Topology #92,876 in Textbooks & Study Guides | | Customer reviews | 4.6 4.6 out of 5 stars (55) | | Dimensions | 16.99 x 4.29 x 24.41 cm | | Edition | 3rd | | ISBN-10 | 1107602602 | | ISBN-13 | 978-1107602601 | | Item weight | 1.44 Kilograms | | Language | English | | Print length | 748 pages | | Publication date | 3 November 2011 | | Publisher | Cambridge University Press | ## Images ![The Geometry of Physics: An Introduction - Image 1](https://m.media-amazon.com/images/I/61vDd-1+soL.jpg) ## Customer Reviews ### ⭐⭐⭐⭐⭐ Review *by P***Z on 16 May 2013* Some texts are designed to increase understanding, others to aid in practical computation, making them as much references as pedagogic tools. The latter are especially suited for self study. In this new edition, Frankel does something amazing-- instead of completely reorganizing an already stellar text, he "ties it all together" with a new "example" introduction-- a 34 page (roman numeral numbered!) "preface" illustrating Cartan's exterior differential forms with a "metal torsion" example application to Cauchy's stress tensor. Don't mistakely think that this means Frankel limits this text to the differential geometry of engineering mechanics and materials-- he covers a vast field of physics all the way from classic to quantum, sans string but with numerous gauge applications, in 750 packed pages, most containing fully worked out calculations for the aforementioned reference value. It seems today that all publishers just parrot "for grad students or advanced undergrads with a year of calculus and some linear algebra." Is this to sell more books? Not sure, but I wouldn't tackle this for self study or even calculative reference without "advanced" calculus (in my definition, analysis) PLUS a good course in analytic geometry first. Although this is packed with AG, it does not start by teaching AG-- the geometry knowledge is assumed, and we're then treated to an astonishing adventure of detailed APPLICATIONS of geometry to nearly every aspect of physics, including numerous cutting edge and intractable problems. There also are NUMEROUS engineering applications examples, blending physics, engineering and geometry in a way no other text even attempts. I've long felt that some pundits who tease the Greeks for seeing everything as geometric would someday eat their words. Well.. wow. This volume clearly demonstrates how much what comes round goes round. OK, looking at physical spheres is not the same as spacetime curvature spheres, let alone "field" geometry that isn't even a physical geometry, but the geometry of a vector bundle! So, to be honest, if you see the word "introduction" in this text's title, and think you'll be guided through the UNDERSTANDING of Lie algebras, matrix calculus, Yang-Mills and other gauges via geometry-- be careful. "Introduction" as I read it after reading this text means intro to the APPLICATION and CALCULATION techniques available to someone already well grounded in analytic geometry. Don't get me wrong, the author is simply amazing, as were the very successful first two editions, in carefully explaining many neglected applications of AG to physics, but this book would be 3,000 pages if we actually expected it to "introduce" every notation. So, it does blast right off assuming a good base in analytic geometry, and a fair base in physics. One really cool dimension for self-study-- the author is obviously first a mathematician, and within that a geometer, so the pedagogic artifact from older days of showing NUMEROUS diagrams and illustrations made its way into this fine text. Even if I weigh the overall presentation as more computational that didactic, the illustrations themselves bely that evaluation-- each one gives one of those "aha" moments. The author also does take the time to explain the WHY of certain formula elements so you really "get" them. For example, if we're given an element where x^(exp polynomial) = b*(expression), the author WILL digress enough to remind us that b is acting as a proportionality constant. I find this really helpful as a way to generalize the lesson learned, otherwise we're just rote memorizing or referring back to a process we're not really getting! Highly recommended with the caveats mentioned about brushing up on your analytic/ differential geometry. Library Picks reviews only for the benefit of Amazon shoppers and has nothing to do with Amazon, the authors, manufacturers or publishers of the items we review. We always buy the items we review for the sake of objectivity, and although we search for gems, are not shy about trashing an item if it's a waste of time or money for Amazon shoppers. If the reviewer identifies herself, her job or her field, it is only as a point of reference to help you gauge the background and any biases. ### ⭐⭐⭐⭐⭐ Review *by B***E on 6 June 2019* Excellent ### ⭐⭐⭐⭐⭐ Review *by J***R on 21 February 2022* I rated this book with five stars because it was just perfect FOR ME. I was looking for a modern treatment of mathematical physics from a geometric and topological point of view. I had previously strugled with Schutz's, Nakahara's and Nash and Sen's books on the same subject with only partial success. I finally bought this book and found there everything I wanted to learn on the subject thouroughly explained by a mathematician who sacrifices mathematical rigour for physical relevance. That was EXACTLY what I needed but, please, bear in mind that it might not be what YOU need. Moreover this book is not easy reading. You need to work very hard if you want to fully understand it. This book was MUCH, MUCH better FOR ME than those I mentioned before because I found it either MUCH, MUCH clearer (than Nakahara's and Nash and Sen's) or MUCH, MUCH more thorough (than Schutz's). ## Frequently Bought Together - The Geometry of Physics: An Introduction - Geometry, Topology and Physics (Graduate Student Series in Physics) - Topology and Geometry for Physicists (Dover Books on Mathematics) --- ## Why Shop on Desertcart? - 🛒 **Trusted by 1.3+ Million Shoppers** — Serving international shoppers since 2016 - 🌍 **Shop Globally** — Access 737+ million products across 21 categories - 💰 **No Hidden Fees** — All customs, duties, and taxes included in the price - 🔄 **15-Day Free Returns** — Hassle-free returns (30 days for PRO members) - 🔒 **Secure Payments** — Trusted payment options with buyer protection - ⭐ **TrustPilot Rated 4.5/5** — Based on 8,000+ happy customer reviews **Shop now:** [https://www.desertcart.co.uk/products/253379838-the-geometry-of-physics-an-introduction](https://www.desertcart.co.uk/products/253379838-the-geometry-of-physics-an-introduction) --- *Product available on Desertcart United Kingdom* *Store origin: GB* *Last updated: 2026-05-15*