Analytical Mechanics PDF Download
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Author: Carl S. Helrich
Publisher: Springer
ISBN: 3319444913
Category : Science
Languages : en
Pages : 359
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Book Description
This advanced undergraduate textbook begins with the Lagrangian formulation of Analytical Mechanics and then passes directly to the Hamiltonian formulation and the canonical equations, with constraints incorporated through Lagrange multipliers. Hamilton's Principle and the canonical equations remain the basis of the remainder of the text. Topics considered for applications include small oscillations, motion in electric and magnetic fields, and rigid body dynamics. The Hamilton-Jacobi approach is developed with special attention to the canonical transformation in order to provide a smooth and logical transition into the study of complex and chaotic systems. Finally the text has a careful treatment of relativistic mechanics and the requirement of Lorentz invariance. The text is enriched with an outline of the history of mechanics, which particularly outlines the importance of the work of Euler, Lagrange, Hamilton and Jacobi. Numerous exercises with solutions support the exceptionally clear and concise treatment of Analytical Mechanics.
Author: Carl S. Helrich
Publisher: Springer
ISBN: 3319444913
Category : Science
Languages : en
Pages : 359
Get Book Here
Book Description
This advanced undergraduate textbook begins with the Lagrangian formulation of Analytical Mechanics and then passes directly to the Hamiltonian formulation and the canonical equations, with constraints incorporated through Lagrange multipliers. Hamilton's Principle and the canonical equations remain the basis of the remainder of the text. Topics considered for applications include small oscillations, motion in electric and magnetic fields, and rigid body dynamics. The Hamilton-Jacobi approach is developed with special attention to the canonical transformation in order to provide a smooth and logical transition into the study of complex and chaotic systems. Finally the text has a careful treatment of relativistic mechanics and the requirement of Lorentz invariance. The text is enriched with an outline of the history of mechanics, which particularly outlines the importance of the work of Euler, Lagrange, Hamilton and Jacobi. Numerous exercises with solutions support the exceptionally clear and concise treatment of Analytical Mechanics.
Author: Grant R. Fowles
Publisher:
ISBN:
Category : Mechanics, Analytic
Languages : en
Pages : 584
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Book Description
With the direct, accessible, and pragmatic approach of Fowles and Cassiday's ANALYTICAL MECHANICS, Seventh Edition, thoroughly revised for clarity and concision, students will grasp challenging concepts in introductory mechanics. A complete exposition of the fundamentals of classical mechanics, this proven and enduring introductory text is a standard for the undergraduate Mechanics course. Numerical worked examples increased students' problem-solving skills, while textual discussions aid in student understanding of theoretical material through the use of specific cases.
Author: Feliks Ruvimovič Gantmaher
Publisher:
ISBN: 9780846405511
Category :
Languages : en
Pages : 264
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Book Description
Author: Jorge V. José
Publisher: Cambridge University Press
ISBN: 9780521636360
Category : Science
Languages : en
Pages : 702
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Book Description
A comprehensive graduate-level textbook on classical dynamics with many worked examples and over 200 homework exercises, first published in 1998.
Author: Leonard Susskind
Publisher: Basic Books
ISBN: 0465038921
Category : Education
Languages : en
Pages : 165
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Book Description
A master teacher presents the ultimate introduction to classical mechanics for people who are serious about learning physics "Beautifully clear explanations of famously 'difficult' things," -- Wall Street Journal If you ever regretted not taking physics in college -- or simply want to know how to think like a physicist -- this is the book for you. In this bestselling introduction to classical mechanics, physicist Leonard Susskind and hacker-scientist George Hrabovsky offer a first course in physics and associated math for the ardent amateur. Challenging, lucid, and concise, The Theoretical Minimum provides a tool kit for amateur scientists to learn physics at their own pace.
Author: Ilya L. Shapiro
Publisher: Springer Science & Business Media
ISBN: 1461478251
Category : Science
Languages : en
Pages : 255
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Book Description
One could make the claim that all branches of physics are basically generalizations of classical mechanics. It is also often the first course which is taught to physics students. The approach of this book is to construct an intermediate discipline between general courses of physics and analytical mechanics, using more sophisticated mathematical tools. The aim of this book is to prepare a self-consistent and compact text that is very useful for teachers as well as for independent study.
Author: Richard P. Feynman
Publisher: Addison-Wesley Longman
ISBN:
Category : Computers
Languages : en
Pages : 328
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Book Description
Covering the theory of computation, information and communications, the physical aspects of computation, and the physical limits of computers, this text is based on the notes taken by one of its editors, Tony Hey, on a lecture course on computation given b
Author: R. Shankar
Publisher: Yale University Press
ISBN: 0300249586
Category : Science
Languages : en
Pages : 523
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Book Description
A beloved introductory physics textbook, now including exercises and an answer key, explains the concepts essential for thorough scientific understanding In this concise book, R. Shankar, a well-known physicist and contagiously enthusiastic educator, explains the essential concepts of Newtonian mechanics, special relativity, waves, fluids, thermodynamics, and statistical mechanics. Now in an expanded edition—complete with problem sets and answers for course use or self-study—this work provides an ideal introduction for college-level students of physics, chemistry, and engineering; for AP Physics students; and for general readers interested in advances in the sciences. The book begins at the simplest level, develops the basics, and reinforces fundamentals, ensuring a solid foundation in the principles and methods of physics.
Author: G. L. Kotkin
Publisher: Oxford University Press
ISBN: 0198894694
Category : Science
Languages : en
Pages : 241
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Book Description
Written by professional physicists with over 140 years' of teaching experience combined, this book is aimed at students and lecturers in physics. The authors present analytical mechanics as the basis for the study of theoretical physics, its methods and ideas forming the foundation of all other branches including quantum mechanics, statistical physics, and field theory. The book begins by discussing the motion of particles in a central field and scattering of particles based on Newton's equations. It then introduces and explores Lagrange equations for various systems, linear and non-linear oscillations, Hamiltonian formalism, and the motion of a rigid body. Each topic is accompanied by problems that are suitable for seminars and testing. The book also includes five supplemental sections, which provide practical illustrations of the theoretical material. These sections can be used by teachers as the basis for conducting a specialized course, or by curious students who wish to explore different applications of analytical mechanics independently.
Author: A.I. Lurie
Publisher: Springer Science & Business Media
ISBN: 3540456775
Category : Technology & Engineering
Languages : en
Pages : 859
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Book Description
This is a translation of A.I. Lurie’s classical Russian textbook on analytical mechanics. It offers a consummate exposition of the subject of analytical mechanics through a deep analysis of its most fundamental concepts. The book has served as a desk text for at least two generations of researchers working in those fields where the Soviet Union accomplished the greatest technological breakthrough of the 20th century - a race into space. Those and other related fields continue to be intensively explored since then, and the book clearly demonstrates how the fundamental concepts of mechanics work in the context of up-to-date engineering problems.
