Philosophic, Less Formalistic Approach To Perennially Important Field Of Analytical Mechanics Model Of Clear, Scholarly Exposition At Graduate Level With Coverage Of Basic Concepts, Calculus Of Variations, Principle Of Virtual Work, Equations Of Motion, Relativistic Mechanics, Much First Inexpensive Paperbound Edition Index Bibliography

6 thoughts on “The Variational Principles of Mechanics (Dover Books on Physics)”

Es un libro ligero de digerir si tienes un m nimo de conocimiento de matem ticas Tiene un toque de divulgaci n pero bastante riguroso Definitivamente recomendable Lanczos es un maestro.

Muy buen libro.Es riguroso.Muy did ctico Se nota que el autor es un experto en la ense anza.F cil de seguir, aunque por el tema, ya se intuye que hay que tener un nivel de f sica y matem ticas equivalentes a una licenciatura o ingenier a.JGM

As an engineer, I ve never been content with the formalized approaches to teaching mathematics and physics I find derivation upon derivation of of equation and mathematical contrivances to be dull without having a deeper intuitive grasp of what the equations seek to describe.This book, by Cornelius Lanczos to put it simply, is a physics book which approaches the subject by relaying the intuitive grasp first, and then supplementing the intuition with formula.I purchased this book with absolutely no background in Lagrangian Mechanics I have but the faintest conception of what a Hamiltonian is But even I find the book accessible enough to be wonderfully engaging.Let me share a quote to illustrate how the book tends to approach its explanations Since motion is by its very nature a directed phenomenon, it seems puzzling that two scalar quantities should be sufficient to determine the motionAnd yet it is a fact that these two fundamental scalars contain the complete dynamics of even the most complicated material system, provided they are used as the basis of a principle rather than of an equationIn my opinion, to really learn the meaning behind the equations, to learn rather the principles behind the equations themselves is really that deeper understanding that every scientist and engineer only comes to understand over the course of a lifetime I can scarcely believe that we have the benefit of a lifetime s worth of understanding of advanced physics so eloquently delineated here This is an absolute gem of a book and I cannot recommend it highly.

Lanczos Variational Principles of Mechanics is an erudite piece of work that basically reconstructs the science of analytical mechanics bottom up, from the principle of virtual work to Einstein s equivalence principle and the origin of the gravitational redshift of spectral lines The book contains very little material on the Newtonian, vector mechanics, being entirely devoted to the Lagrangian and Hamiltonian approaches to mechanics.The book provides a perfect introduction to the foundations of the all important principle of least action that pervades all of modern physics In this regard, a nice companion to Lanczos book is the treatise by W Yourgrau and S Mandelstam, Variational Principles in Dynamics and Quantum Theory One major functionality of Lanczos book is to bridge the gap between our modern way of thinking and that of the classics Anyone who has already tried to read the 1762 papers by Lagrange on Miscellanea Taurinensia or the 1834 1835 papers by Hamilton on the Phil Trans Royal Soc knows that the classical literature is difficult to follow, part because of old fashioned notation, part because we lack well, at least I lack the spirit of the times, making it difficult to understand some seemingly byzantine questions that the authors pose and ponder on in some of their sometimes rather lenghty writings The book by Lanczos helps a lot both in terms of notation and ideas.I totally disagree with those that try to compare Lanczos and Feynman s styles Lanczos is seriously concerned with the history of the ideas, their evolution, and interpretations There is nothing like that in Feynman s The strange theory of light and matter, or in his The character of physical law, and very little of it in his lectures on physics Actually, Feynman pays very little credit to the historical development of the subjects I am not saying that he personally does not recognize the credits, only that he does not communicate it He admittedly has a do it yourself or did it myself attitude towards physics, while Lanczos has a visible admiration for the greatness of his subject without being cheesy and is sensitive to its philosophical nuances and implications I feel the difference between the two is like the difference between getting trained and getting educated.In summary a must have in anyone s scientific library unless you are an undergrad student cramming for your finals.

Hamilton said of Lagrange s Analytical Mechanics that it was a scientific poem and considered Lagrange the Shakespeare of Mechanics I consider Lanczos s work a work of art This is not in detriment of its scientific and mathematical value on the contrary, it means that he was able in his Principles of Variational Mechanics as well as in his Discourse on Fourier Series to add beauty to scientific and mathematical rigor This happen so seldom that I cannot but to strongly recommend this extraordinary book.Lanczos teaches you not only the subject matter, but a way to think about the subject matter in a deeper way.Einstein thought highly of Cornelius Lanczos If you read his books you ll know why.

Es un libro ligero de digerir si tienes un m nimo de conocimiento de matem ticas Tiene un toque de divulgaci n pero bastante riguroso Definitivamente recomendable Lanczos es un maestro.

Muy buen libro.Es riguroso.Muy did ctico Se nota que el autor es un experto en la ense anza.F cil de seguir, aunque por el tema, ya se intuye que hay que tener un nivel de f sica y matem ticas equivalentes a una licenciatura o ingenier a.JGM

Un libro muy bien explicado, muy claro, con varios ejemplos ilustrativos y un tratamiento bastante did ctico Contento con la compra.

As an engineer, I ve never been content with the formalized approaches to teaching mathematics and physics I find derivation upon derivation of of equation and mathematical contrivances to be dull without having a deeper intuitive grasp of what the equations seek to describe.This book, by Cornelius Lanczos to put it simply, is a physics book which approaches the subject by relaying the intuitive grasp first, and then supplementing the intuition with formula.I purchased this book with absolutely no background in Lagrangian Mechanics I have but the faintest conception of what a Hamiltonian is But even I find the book accessible enough to be wonderfully engaging.Let me share a quote to illustrate how the book tends to approach its explanations Since motion is by its very nature a directed phenomenon, it seems puzzling that two scalar quantities should be sufficient to determine the motionAnd yet it is a fact that these two fundamental scalars contain the complete dynamics of even the most complicated material system, provided they are used as the basis of a principle rather than of an equationIn my opinion, to really learn the meaning behind the equations, to learn rather the principles behind the equations themselves is really that deeper understanding that every scientist and engineer only comes to understand over the course of a lifetime I can scarcely believe that we have the benefit of a lifetime s worth of understanding of advanced physics so eloquently delineated here This is an absolute gem of a book and I cannot recommend it highly.

Lanczos Variational Principles of Mechanics is an erudite piece of work that basically reconstructs the science of analytical mechanics bottom up, from the principle of virtual work to Einstein s equivalence principle and the origin of the gravitational redshift of spectral lines The book contains very little material on the Newtonian, vector mechanics, being entirely devoted to the Lagrangian and Hamiltonian approaches to mechanics.The book provides a perfect introduction to the foundations of the all important principle of least action that pervades all of modern physics In this regard, a nice companion to Lanczos book is the treatise by W Yourgrau and S Mandelstam, Variational Principles in Dynamics and Quantum Theory One major functionality of Lanczos book is to bridge the gap between our modern way of thinking and that of the classics Anyone who has already tried to read the 1762 papers by Lagrange on Miscellanea Taurinensia or the 1834 1835 papers by Hamilton on the Phil Trans Royal Soc knows that the classical literature is difficult to follow, part because of old fashioned notation, part because we lack well, at least I lack the spirit of the times, making it difficult to understand some seemingly byzantine questions that the authors pose and ponder on in some of their sometimes rather lenghty writings The book by Lanczos helps a lot both in terms of notation and ideas.I totally disagree with those that try to compare Lanczos and Feynman s styles Lanczos is seriously concerned with the history of the ideas, their evolution, and interpretations There is nothing like that in Feynman s The strange theory of light and matter, or in his The character of physical law, and very little of it in his lectures on physics Actually, Feynman pays very little credit to the historical development of the subjects I am not saying that he personally does not recognize the credits, only that he does not communicate it He admittedly has a do it yourself or did it myself attitude towards physics, while Lanczos has a visible admiration for the greatness of his subject without being cheesy and is sensitive to its philosophical nuances and implications I feel the difference between the two is like the difference between getting trained and getting educated.In summary a must have in anyone s scientific library unless you are an undergrad student cramming for your finals.

Hamilton said of Lagrange s Analytical Mechanics that it was a scientific poem and considered Lagrange the Shakespeare of Mechanics I consider Lanczos s work a work of art This is not in detriment of its scientific and mathematical value on the contrary, it means that he was able in his Principles of Variational Mechanics as well as in his Discourse on Fourier Series to add beauty to scientific and mathematical rigor This happen so seldom that I cannot but to strongly recommend this extraordinary book.Lanczos teaches you not only the subject matter, but a way to think about the subject matter in a deeper way.Einstein thought highly of Cornelius Lanczos If you read his books you ll know why.