--- product_id: 8652150 title: "A Comprehensive Introduction to Differential Geometry, Vol. 1, 3rd Edition" price: "2801 kr" currency: NOK in_stock: true reviews_count: 12 url: https://www.desertcart.no/products/8652150-a-comprehensive-introduction-to-differential-geometry-vol-1-3rd-edition store_origin: NO region: Norway --- # 5-volume series foundation rigorous manifold theory updated 3rd edition corrections A Comprehensive Introduction to Differential Geometry, Vol. 1, 3rd Edition **Price:** 2801 kr **Availability:** βœ… In Stock ## Summary > πŸ“ Unlock the geometry that shapes your world β€” don’t just learn it, live it! ## Quick Answers - **What is this?** A Comprehensive Introduction to Differential Geometry, Vol. 1, 3rd Edition - **How much does it cost?** 2801 kr with free shipping - **Is it available?** Yes, in stock and ready to ship - **Where can I buy it?** [www.desertcart.no](https://www.desertcart.no/products/8652150-a-comprehensive-introduction-to-differential-geometry-vol-1-3rd-edition) ## Best For - Customers looking for quality international products ## Why This Product - Free international shipping included - Worldwide delivery with tracking - 15-day hassle-free returns ## Key Features - β€’ **Trusted by Scholars:** A go-to resource that shaped PhD journeys and advanced research worldwide. - β€’ **Comprehensive Coverage:** From vector fields to Euler characteristics, all essential topics in one volume. - β€’ **Bridging Classical & Modern:** Experience a seamless blend of historical insights and contemporary theory. - β€’ **Master the Language of Geometry:** Dive deep into differentiable manifolds with clarity and precision. - β€’ **Exercises That Challenge & Inspire:** Engage with thought-provoking problems that sharpen your mathematical intuition. ## Overview A Comprehensive Introduction to Differential Geometry, Vol. 1 (3rd Edition) by Michael Spivak is a meticulously updated cornerstone text offering an in-depth exploration of differentiable manifolds, vector fields, and integral curves. This volume balances classical foundations with modern approaches, featuring rigorous proofs, challenging exercises, and essential topics like Euler characteristics and cohomology. Ideal for mathematicians, physicists, and advanced students aiming to master the core of differential geometry. ## Description A Comprehensive Introduction to Differential Geometry, Volume One, Third Edition by Michael Spivak is an essential resource for anyone interested in the field of differential geometry. Published by Publish or Perish, Inc. in Houston, Texas, this volume is part of a five-volume series that has been meticulously crafted to bridge the gap between classical and modern differential geometry. This third edition includes significant updates and corrections, along with the inclusion of Gauss' paper in Volume 2. The book provides a thorough introduction to the theory of differentiable manifolds, emphasizing both historical context and modern language. It covers a wide range of topics, including immersion and functions, the tangent bundle, integral curves and vector fields, differential equations, integration of differential forms, inner product on vector spaces, critical points and conditions, exact sequence of complexes and cohomology vector spaces, and Euler characteristic and related theorems. Unique features of this book include detailed explanations and propositions related to integral curves, vector fields, and coordinate systems, comprehensive coverage of solving differential equations and integration of differential forms, in-depth discussion on inner product on vector spaces, including Euclidean and Riemannian metrics, exploration of critical points, variational approach, and geodesics, extensive treatment of exact sequences, cohomology vector spaces, and Euler characteristic, and application of PoincarΓ© duality theorem, Thom class, Euler class, vector fields, and indices. With its rigorous approach and clear presentation, A Comprehensive Introduction to Differential Geometry, Volume One, Third Edition is an invaluable addition to the library of mathematicians, physicists, and anyone with a keen interest in differential geometry. Review: a classic - This was one of the books that helped me decide to get a phd in math (even though I didn't officially study differential geometry). Spivak's books read like chalkboard lectures by a superb lecturer. The examples stretched my imagination. In particular the exercises from chapter 1 are really good. There is the tessellation of a cylinder that has arbitrarily high area, the tubey version of the infinite binary tree homeomorphic to R^2 minus the usual Cantor set. The previous edition had a bad cover material and I ended up needing a new copy because the binding broke. But you don't judge a book by its cover, rather its contents. The cover art is cool too. Review: Great text - Great textbook. ## Features - Used Book in Good Condition ## Technical Specifications | Specification | Value | |---------------|-------| | Best Sellers Rank | #1,183,467 in Books ( See Top 100 in Books ) #126 in Differential Geometry (Books) #644 in Calculus (Books) | | Customer Reviews | 4.2 out of 5 stars 54 Reviews | ## Images ![A Comprehensive Introduction to Differential Geometry, Vol. 1, 3rd Edition - Image 1](https://m.media-amazon.com/images/I/61PH3or6z1L.jpg) ## Customer Reviews ### ⭐⭐⭐⭐⭐ a classic *by E***Z on May 11, 2019* This was one of the books that helped me decide to get a phd in math (even though I didn't officially study differential geometry). Spivak's books read like chalkboard lectures by a superb lecturer. The examples stretched my imagination. In particular the exercises from chapter 1 are really good. There is the tessellation of a cylinder that has arbitrarily high area, the tubey version of the infinite binary tree homeomorphic to R^2 minus the usual Cantor set. The previous edition had a bad cover material and I ended up needing a new copy because the binding broke. But you don't judge a book by its cover, rather its contents. The cover art is cool too. ### ⭐⭐⭐⭐⭐ Great text *by G***S on July 11, 2026* Great textbook. ### ⭐⭐⭐⭐⭐ Great book for amatures *by C***T on February 22, 2006* If you want a book that is rich with examples then this is it. The proofs are, for the most part, clear and concise, thus a person who is learning the material without the aid of an instructor can follow the logic. However, the author could have spent some more time developing topological ideas (thought he does have an appendix section that does a fair job of it) within the flow of the first chapter. I personally find appendices to be too distracting and tend to slow down the flow of the material in a particular chapter. Other than that, this is a great book if you want to learn differential geometry and the theory of smooth manifolds. ## Frequently Bought Together - A Comprehensive Introduction to Differential Geometry, Vol. 1, 3rd Edition - A Comprehensive Introduction to Differential Geometry, Vol. 2, 3rd Edition - A Comprehensive Introduction to Differential Geometry, Vol. 3, 3rd Edition --- ## Why Shop on Desertcart? - πŸ›’ **Trusted by 1.3+ Million Shoppers** β€” Serving international shoppers since 2016 - 🌍 **Shop Globally** β€” Access 737+ million products across 21 categories - πŸ’° **No Hidden Fees** β€” All customs, duties, and taxes included in the price - πŸ”„ **15-Day Free Returns** β€” Hassle-free returns (30 days for PRO members) - πŸ”’ **Secure Payments** β€” Trusted payment options with buyer protection - ⭐ **TrustPilot Rated 4.5/5** β€” Based on 8,000+ happy customer reviews **Shop now:** [https://www.desertcart.no/products/8652150-a-comprehensive-introduction-to-differential-geometry-vol-1-3rd-edition](https://www.desertcart.no/products/8652150-a-comprehensive-introduction-to-differential-geometry-vol-1-3rd-edition) --- *Product available on Desertcart Norway* *Store origin: NO* *Last updated: 2026-09-18*