--- product_id: 8724916 title: "Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics, Vol. 60)" price: "464.98 DT" currency: TND in_stock: true reviews_count: 13 url: https://www.desertcart.tn/products/8724916-mathematical-methods-of-classical-mechanics-graduate-texts-in-mathematics-vol store_origin: TN region: Tunisia --- # Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics, Vol. 60) **Price:** 464.98 DT **Availability:** ✅ In Stock ## Quick Answers - **What is this?** Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics, Vol. 60) - **How much does it cost?** 464.98 DT with free shipping - **Is it available?** Yes, in stock and ready to ship - **Where can I buy it?** [www.desertcart.tn](https://www.desertcart.tn/products/8724916-mathematical-methods-of-classical-mechanics-graduate-texts-in-mathematics-vol) ## 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 In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. This modern approch, based on the theory of the geometry of manifolds, distinguishes iteself from the traditional approach of standard textbooks. Geometrical considerations are emphasized throughout and include phase spaces and flows, vector fields, and Lie groups. The work includes a detailed discussion of qualitative methods of the theory of dynamical systems and of asymptotic methods like perturbation techniques, averaging, and adiabatic invariance. Review: The best place to learn about classical mechanics - Arguably, the applicability of a mathematical theory (or its links with other well established parts of this science) is what makes it important. This book serves to justify in this sense the study of ordinary differential equations, calculus of variations, Riemannian geometry, symplectic geometry, Lie groups and Lie algebras, manifold theory as well as other more specialized subjects such as integrable systems or catastrophe theory. There are many other books on classical mechanics, some of them stronger than this one in some respects but this is the book to read if you do not want or can't consult a whole library. Foundations of Mechanics by Abraham and Marsden is a colossal treatise that certainly seeks to be a reference work rather than a textbook, it can be useful as a place to look for details you cannot find in the appendices of Arnold's book; Introduction to Mechanics and Symmetry by Marsden and Ratiu is more accessible, the historical comments and abundance of examples are very interesting or/and enlightening, however the order and choice of material is somewhat puzzling, it is inevitable to compare it with Arnold's brilliant layout: one begins with Newtonian/Galileian approach and subsequently those methods are refined and generalized with the Lagrangian and Hamiltonian formalisms. Very worth mentioning are the appendices which constitute almost half of the current edition of Arnold's book: one can find there from an intuitive discussion of Riemannian geometry and the generalization to finite and infinite dimensional Lie groups, made by Arnold in the sixties, of Euler's equations for the rigid body, to discussions of the now so popular momentum maps, Poisson structures, Kähler manifolds, KdV equations and a bit of KAM theory. Do not expect this book to give you (as a previous reviewer wrote) all the epsilons and deltas and explicit formulae you might be used to find in a textbook, the arguments are very concise and sometimes the proofs are cryptic but very often the intuitive idea and the geometrical insight of a proposition is all that is required to produce a rigorous proof and that's exactly what this book gives you. Review: Wonderful - This book is an excellent introduction to the world of classical physics for NON-PHYSICISTS. While some physicists will no doubt find it accessible, there is considerable reduction of physical concepts in order to get to the heart of the ideas underlying the formalism. Also, the material goes beyond what most physicists (non-theoreticians) will find practical. He focuses largely on a geometric presentation, in the language of differential geometry, symplectic geometry, differential forms, Riemannian manifolds and includes a large amount of algebraic necessities. This is not a cookbook for learning how to solve classical mechanics, nor is it a math book per se, but it is a wonderful collection of introductions to a vast amount of useful mathematical formalism that permeates the physical literature. I would strongly recommend it to someone needing a thorough supplementary mechanics text, one that relies on very little physical insight and focuses on the geometric and algebraic structures underlying them. The chapters are very well self-contained for the most part so you can skip to topics you find more appealing without feeling lost. Also, his presentation style is very clever, in case you're a fan of quick thinking and novel presentations (who isn't?). The prerequisites are familiarity with somewhat advanced calculus and "mathematical maturity". Basic knowledge of group theory would also make it an easier read. ## Technical Specifications | Specification | Value | |---------------|-------| | Best Sellers Rank | #421,079 in Books ( See Top 100 in Books ) #80 in Physics of Mechanics #120 in Mathematical Physics (Books) #137 in Mathematical Analysis (Books) | | Customer Reviews | 4.4 out of 5 stars 114 Reviews | ## Images ![Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics, Vol. 60) - Image 1](https://m.media-amazon.com/images/I/614sXJpG68L.jpg) ## Customer Reviews ### ⭐⭐⭐⭐⭐ The best place to learn about classical mechanics *by D***Z on March 7, 2014* Arguably, the applicability of a mathematical theory (or its links with other well established parts of this science) is what makes it important. This book serves to justify in this sense the study of ordinary differential equations, calculus of variations, Riemannian geometry, symplectic geometry, Lie groups and Lie algebras, manifold theory as well as other more specialized subjects such as integrable systems or catastrophe theory. There are many other books on classical mechanics, some of them stronger than this one in some respects but this is the book to read if you do not want or can't consult a whole library. Foundations of Mechanics by Abraham and Marsden is a colossal treatise that certainly seeks to be a reference work rather than a textbook, it can be useful as a place to look for details you cannot find in the appendices of Arnold's book; Introduction to Mechanics and Symmetry by Marsden and Ratiu is more accessible, the historical comments and abundance of examples are very interesting or/and enlightening, however the order and choice of material is somewhat puzzling, it is inevitable to compare it with Arnold's brilliant layout: one begins with Newtonian/Galileian approach and subsequently those methods are refined and generalized with the Lagrangian and Hamiltonian formalisms. Very worth mentioning are the appendices which constitute almost half of the current edition of Arnold's book: one can find there from an intuitive discussion of Riemannian geometry and the generalization to finite and infinite dimensional Lie groups, made by Arnold in the sixties, of Euler's equations for the rigid body, to discussions of the now so popular momentum maps, Poisson structures, Kähler manifolds, KdV equations and a bit of KAM theory. Do not expect this book to give you (as a previous reviewer wrote) all the epsilons and deltas and explicit formulae you might be used to find in a textbook, the arguments are very concise and sometimes the proofs are cryptic but very often the intuitive idea and the geometrical insight of a proposition is all that is required to produce a rigorous proof and that's exactly what this book gives you. ### ⭐⭐⭐⭐⭐ Wonderful *by N***L on October 26, 2007* This book is an excellent introduction to the world of classical physics for NON-PHYSICISTS. While some physicists will no doubt find it accessible, there is considerable reduction of physical concepts in order to get to the heart of the ideas underlying the formalism. Also, the material goes beyond what most physicists (non-theoreticians) will find practical. He focuses largely on a geometric presentation, in the language of differential geometry, symplectic geometry, differential forms, Riemannian manifolds and includes a large amount of algebraic necessities. This is not a cookbook for learning how to solve classical mechanics, nor is it a math book per se, but it is a wonderful collection of introductions to a vast amount of useful mathematical formalism that permeates the physical literature. I would strongly recommend it to someone needing a thorough supplementary mechanics text, one that relies on very little physical insight and focuses on the geometric and algebraic structures underlying them. The chapters are very well self-contained for the most part so you can skip to topics you find more appealing without feeling lost. Also, his presentation style is very clever, in case you're a fan of quick thinking and novel presentations (who isn't?). The prerequisites are familiarity with somewhat advanced calculus and "mathematical maturity". Basic knowledge of group theory would also make it an easier read. ### ⭐⭐⭐⭐⭐ Encyclopedic *by P***Y on May 8, 2002* Extremely stimulating, uses Galileo to motivate Newton's laws instead of postulating them. Treatment of Bertrand's theorem is beautiful, but contains one error (took me 2 years before I realized where..). However, I know of only one physicist who successully worked out all the missing steps and taught from this book. I know mathematicians who have cursed it. I used/use it for inspiration. The treatment of Liouville's integrability theorem, I found too abstract, found the old version in Whittaker's Analytical Dynamics to be clearer (Arnol'd might laugh sarcastically at this claim!)--for an interesting variation, but more from the standpoint of continuous groups, see the treatment in ch. 16 of my Classical Mechanics (Cambridge, 1997). In my text I do not restrict the discussion of integrability/nonintegrability to Hamiltonian systems but include driven dissipative systems as well. Another strength of Arnol'd: his discussion of caustics, useful for the study of galaxy formation (as I later learned while doing work in cosmology). Also, I learned from Arnol'd that Poisson brackets are not restricted to canonical systems (see also my ch. 15). I guess that every researcher in nonlinear dynamics should study Arnol'd's books, he's the 'alte Hasse' in the field. ## Frequently Bought Together - Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics, Vol. 60) (Graduate Texts in Mathematics, 60) - Classical Mechanics - Mechanics: Volume 1 (Course of Theoretical Physics S) --- ## 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.tn/products/8724916-mathematical-methods-of-classical-mechanics-graduate-texts-in-mathematics-vol](https://www.desertcart.tn/products/8724916-mathematical-methods-of-classical-mechanics-graduate-texts-in-mathematics-vol) --- *Product available on Desertcart Tunisia* *Store origin: TN* *Last updated: 2026-06-03*