Hamiltonian and Lagrangian Dynamics

James Curry

Published by CreateSpace Independent Publishing Platform, 2011
ISBN 10: 1466244364 / ISBN 13: 9781466244368
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Synopsis: This is a text on Hamiltonian and Lagrangian Mechanics designed for use by students who have just finished the Calculus sequence. However, there is enough advanced material that it could also serve for a first year graduate course in Classical Mechanics. It might be used as a principal text or as a reference, or as a lifeboat, in either case. The book distinguishes itself by providing an unusually geometric approach. Here, we introduce Hamiltonian Dynamics first, as it is more intuitive, since the Hamitonian is the “energy” of the system. Then we develop Lagrangian Dynamics. I have devoted early chapters modern mathematics, meaning Group Theory, Linear Algebra, Functional Analysis, and some Differential Geometry. We then exploit this material to present Dynamical Systems more clearly. This book may also be useful to mathematics students who might want a gentle and painless introduction to modern mathematics, and a chance to see what it can do.

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Title: Hamiltonian and Lagrangian Dynamics
Publisher: CreateSpace Independent Publishing Platform
Publication Date: 2011
Binding: Paperback
Book Condition: Used: Good

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Book Description Createspace Independent Publishing Platform, United States, 2017. Paperback. Book Condition: New. Language: English . Brand New Book ***** Print on Demand *****. Hamiltonian and Lagrangian Dynamics (HLD) are two interrelated regimes and sets of techniques that can be used to solve Classical Mechanics problems, like Newtonian Physics does, but HLD is much more powerful and flexible, making manageable the otherwise intractable. In addition, HLD provides intuitive insight and guides approximation techniques. Most importantly, HLD is a foundation for Quantum Mechanics, Quantum Field Theory, Elementary Particle Physics, and Solid State Physics. This book emphasizes geometric reasoning in both the text and exercises. Volume 1 is devoted to the necessary mathematics: Linear Algebra, Functional Analysis, Manifolds, and Lie Groups. Volume 2 is devoted to physics: Dynamical Systems, Newtonian Physics, Hamiltonian and Lagrangian Dynamics, and many applications. Volume 1 contains unusually concise, yet deep, treatments of Linear Algebra, Lie Groups and of Conic Sections, so that some may wish to use the book to pursue those goals alone. The book is intended to be useful for physics undergraduates in a first course in Analytical Mechanics, and for Graduate students in physics. Mathematics students will find here simple treatments of advanced mathematical topics, and see their practical application. Engineers will also find succor herein for solving difficult problems. Bookseller Inventory # APC9781540524072

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James Curry
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Book Description Createspace Independent Publishing Platform, United States, 2017. Paperback. Book Condition: New. Language: English . Brand New Book ***** Print on Demand *****. Hamiltonian and Lagrangian Dynamics (HLD) are two interrelated regimes and sets of techniques that can be used to solve Classical Mechanics problems, like Newtonian Physics does, but HLD is much more powerful and flexible, making manageable the otherwise intractable. In addition, HLD provides intuitive insight and guides approximation techniques. Most importantly, HLD is a foundation for Quantum Mechanics, Quantum Field Theory, Elementary Particle Physics, and Solid State Physics. This book emphasizes geometric reasoning in both the text and exercises. Volume 1 is devoted to the necessary mathematics: Linear Algebra, Functional Analysis, Manifolds, and Lie Groups. Volume 2 is devoted to physics: Dynamical Systems, Newtonian Physics, Hamiltonian and Lagrangian Dynamics, and many applications. Volume 1 contains unusually concise, yet deep, treatments of Linear Algebra, Lie Groups and of Conic Sections, so that some may wish to use the book to pursue those goals alone. The book is intended to be useful for physics undergraduates in a first course in Analytical Mechanics, and for Graduate students in physics. Mathematics students will find here simple treatments of advanced mathematical topics, and see their practical application. Engineers will also find succor herein for solving difficult problems. Bookseller Inventory # APC9781540523983

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James Curry
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Book Description Createspace Independent Publishing Platform, United States, 2017. Paperback. Book Condition: New. Language: English . Brand New Book ***** Print on Demand *****.Hamiltonian and Lagrangian Dynamics (HLD) are two interrelated regimes and sets of techniques that can be used to solve Classical Mechanics problems, like Newtonian Physics does, but HLD is much more powerful and flexible, making manageable the otherwise intractable. In addition, HLD provides intuitive insight and guides approximation techniques. Most importantly, HLD is a foundation for Quantum Mechanics, Quantum Field Theory, Elementary Particle Physics, and Solid State Physics. This book emphasizes geometric reasoning in both the text and exercises. Volume 1 is devoted to the necessary mathematics: Linear Algebra, Functional Analysis, Manifolds, and Lie Groups. Volume 2 is devoted to physics: Dynamical Systems, Newtonian Physics, Hamiltonian and Lagrangian Dynamics, and many applications. Volume 1 contains unusually concise, yet deep, treatments of Linear Algebra, Lie Groups and of Conic Sections, so that some may wish to use the book to pursue those goals alone. The book is intended to be useful for physics undergraduates in a first course in Analytical Mechanics, and for Graduate students in physics. Mathematics students will find here simple treatments of advanced mathematical topics, and see their practical application. Engineers will also find succor herein for solving difficult problems. Bookseller Inventory # APC9781540524072

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James Curry
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Book Description Createspace Independent Publishing Platform, United States, 2017. Paperback. Book Condition: New. Language: English . Brand New Book ***** Print on Demand *****.Hamiltonian and Lagrangian Dynamics (HLD) are two interrelated regimes and sets of techniques that can be used to solve Classical Mechanics problems, like Newtonian Physics does, but HLD is much more powerful and flexible, making manageable the otherwise intractable. In addition, HLD provides intuitive insight and guides approximation techniques. Most importantly, HLD is a foundation for Quantum Mechanics, Quantum Field Theory, Elementary Particle Physics, and Solid State Physics. This book emphasizes geometric reasoning in both the text and exercises. Volume 1 is devoted to the necessary mathematics: Linear Algebra, Functional Analysis, Manifolds, and Lie Groups. Volume 2 is devoted to physics: Dynamical Systems, Newtonian Physics, Hamiltonian and Lagrangian Dynamics, and many applications. Volume 1 contains unusually concise, yet deep, treatments of Linear Algebra, Lie Groups and of Conic Sections, so that some may wish to use the book to pursue those goals alone. The book is intended to be useful for physics undergraduates in a first course in Analytical Mechanics, and for Graduate students in physics. Mathematics students will find here simple treatments of advanced mathematical topics, and see their practical application. Engineers will also find succor herein for solving difficult problems. Bookseller Inventory # APC9781540523983

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