Advanced Mechanics: From Euler's Determinism to Arnold's Chaos

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9780199670864: Advanced Mechanics: From Euler's Determinism to Arnold's Chaos
Críticas:

The book appears to be well suited to serve the intended role of introducing physics students to mechanics and making clear to them the relevance of the subject for modern physics; but it will also be useful to mathematics students to understand that the subject is relevant and alive well beyond the classical realms of applications and/or abstract mathematical developments. ( Giuseppe Gaeta, Zentralblatt Math)

Sarada Rajeev has produced a masterpiece which is as steeped in tradition as it is modern in outlook. The book is a minimalist's dream, unleashing on the unsuspecting reader a treasure trove of novel results within its slender frame. The informal yet stimulating narrative, the excellent choice of topics, and the lucid explanations truly make the book a connoisseur's delight. ( V. V. Sreedhar, Chennai Mathematical Institute)

Rajeev approaches his choice of topics and organization from the point of view of one who is intimately familiar with modern physics. Although he starts from very elementary classical mechanics, he nevertheless does not shy away from sophisticated mathematical tools, such as elliptic functions, which he develops from scratch. This book should be of interest to many physics graduate students and researchers in physics, as well as to many mathematicians. ( Leonard Gross, Cornell University)

The book is elegant, concise, enjoyable and sprinkled with illuminating examples. ( Peter MacGregor, The Mathematical Gazette)

Críticas:

Sarada Rajeev has produced a masterpiece which is as steeped in tradition as it is modern in outlook. The book is a minimalist's dream, unleashing on the unsuspecting reader a treasure trove of novel results within its slender frame. The informal yet stimulating narrative, the excellent choice of topics, and the lucid explanations truly make the book a connoisseur's delight. V. V. Sreedhar, Chennai Mathematical Institute Rajeev approaches his choice of topics and organization from the point of view of one who is intimately familiar with modern physics. Although he starts from very elementary classical mechanics, he nevertheless does not shy away from sophisticated mathematical tools, such as elliptic functions, which he develops from scratch. This book should be of interest to many physics graduate students and researchers in physics, as well as to many mathematicians. Leonard Gross, Cornell University

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ISBN 10: 0199670862 ISBN 13: 9780199670864
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Descripción Oxford University Press, United Kingdom, 2013. Paperback. Estado de conservación: New. 242 x 170 mm. Language: English . Brand New Book. Classical Mechanics is the oldest and best understood part of physics. This does not mean that it is cast in marble yet, a museum piece to be admired from a distance. Instead, mechanics continues to be an active area of research by physicists and mathematicians. Every few years, we need to re-evaluate the purpose of learning mechanics and look at old material in the light of modern developments. Once you have learned basic mechanics (Newton s laws, the solution of the Kepler problem) and quantum mechanics (the Schrodinger equation, hydrogen atom) it is time to go back and relearn classical mechanics in greater depth. It is the intent of this book to take you through the ancient (the original meaning of classical ) parts of the subject quickly: the ideas started by Euler and ending roughly with Poincare. We then take up the developments of twentieth century physics that have largely to do with chaos and discrete time evolution (the basis of numerical solutions). Along the way you will learn about elliptic functions and their connection to the Arithmetico-Geometric-Mean; Einstein s calculation of the perihelion shift of Mercury; that spin is really a classical phenomenon; how Hamilton came very close to guessing wave mechanics when he developed a unified theory of optics and mechanics; how Riemannian reometry is useful to understand the impossibility of long range weather prediction; why the maximum of the potential is a stable point of equilibrium in certain situations; the similarity of the orbits of particles in atomic traps and of the Trojan asteroids; about Julia sets and the Mandelblot; what Feigenbaum constants are and how Newton s iterations help establish the Kolmogorov-Arnold-Moser theorem. By the end you should be ready to absorb modern research in mechanics. Nº de ref. de la librería AOP9780199670864

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S. G. Rajeev
Editorial: Oxford University Press, United Kingdom (2013)
ISBN 10: 0199670862 ISBN 13: 9780199670864
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Descripción Oxford University Press, United Kingdom, 2013. Paperback. Estado de conservación: New. 242 x 170 mm. Language: English . Brand New Book. Classical Mechanics is the oldest and best understood part of physics. This does not mean that it is cast in marble yet, a museum piece to be admired from a distance. Instead, mechanics continues to be an active area of research by physicists and mathematicians. Every few years, we need to re-evaluate the purpose of learning mechanics and look at old material in the light of modern developments. Once you have learned basic mechanics (Newton s laws, the solution of the Kepler problem) and quantum mechanics (the Schrodinger equation, hydrogen atom) it is time to go back and relearn classical mechanics in greater depth. It is the intent of this book to take you through the ancient (the original meaning of classical ) parts of the subject quickly: the ideas started by Euler and ending roughly with Poincare. We then take up the developments of twentieth century physics that have largely to do with chaos and discrete time evolution (the basis of numerical solutions). Along the way you will learn about elliptic functions and their connection to the Arithmetico-Geometric-Mean; Einstein s calculation of the perihelion shift of Mercury; that spin is really a classical phenomenon; how Hamilton came very close to guessing wave mechanics when he developed a unified theory of optics and mechanics; how Riemannian reometry is useful to understand the impossibility of long range weather prediction; why the maximum of the potential is a stable point of equilibrium in certain situations; the similarity of the orbits of particles in atomic traps and of the Trojan asteroids; about Julia sets and the Mandelblot; what Feigenbaum constants are and how Newton s iterations help establish the Kolmogorov-Arnold-Moser theorem. By the end you should be ready to absorb modern research in mechanics. Nº de ref. de la librería AOP9780199670864

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Descripción Oxford University Press, 2013. Paperback. Estado de conservación: New. book. Nº de ref. de la librería 0199670862

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Descripción Estado de conservación: New. Depending on your location, this item may ship from the US or UK. Nº de ref. de la librería 97801996708640000000

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Descripción Oxford University Press. Paperback. Estado de conservación: new. BRAND NEW, Advanced Mechanics: From Euler's Determinism to Arnold's Chaos, S. G. Rajeev, Classical Mechanics is the oldest and best understood part of physics. This does not mean that it is cast in marble yet, a museum piece to be admired from a distance. Instead, mechanics continues to be an active area of research by physicists and mathematicians. Every few years, we need to re-evaluate the purpose of learning mechanics and look at old material in the light of modern developments. Once you have learned basic mechanics (Newton's laws, the solution of the Kepler problem) and quantum mechanics (the Schrodinger equation, hydrogen atom) it is time to go back and relearn classical mechanics in greater depth. It is the intent of this book to take you through the ancient (the original meaning of ") parts of the subject quickly: the ideas started by Euler and ending roughly with Poincare. We then take up the developments of twentieth century physics that have largely to do with chaos and discrete time evolution (the basis of numerical solutions). Along the way you will learn about elliptic functions and their connection to the Arithmetico-Geometric-Mean; Einstein's calculation of the perihelion shift of Mercury; that spin is really a classical phenomenon; how Hamilton came very close to guessing wave mechanics when he developed a unified theory of optics and mechanics; how Riemannian reometry is useful to understand the impossibility of long range weather prediction; why the maximum of the potential is a stable point of equilibrium in certain situations; the similarity of the orbits of particles in atomic traps and of the Trojan asteroids; about Julia sets and the Mandelblot; what Feigenbaum constants are and how Newton's iterations help establish the Kolmogorov-Arnold-Moser theorem. By the end you should be ready to absorb modern research in mechanics. Nº de ref. de la librería B9780199670864

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Descripción Estado de conservación: New. New. US edition. Perfect condition. Ship by express service to USA, Canada, Australia, France, Italy, UK, Germany and Netherland. Customer satisfaction our priority. Nº de ref. de la librería ABE-BOOK-24820

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Descripción Estado de conservación: Brand New. Brand New Original US Edition, Perfect Condition. Printed in English. Excellent Quality, Service and customer satisfaction guaranteed!. Nº de ref. de la librería AIND-111327

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