Analytical Mechanics

Analytical Mechanics

Author: Carl S. Helrich

Publisher: Springer

Published: 2016-10-01

Total Pages: 359

ISBN-13: 3319444913

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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.


Analytical Mechanics

Analytical Mechanics

Author: Grant R. Fowles

Publisher:

Published: 2005

Total Pages: 584

ISBN-13:

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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.


The Theoretical Minimum

The Theoretical Minimum

Author: Leonard Susskind

Publisher: Basic Books

Published: 2014-04-22

Total Pages: 165

ISBN-13: 0465038921

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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.


Lecture Notes on Newtonian Mechanics

Lecture Notes on Newtonian Mechanics

Author: Ilya L. Shapiro

Publisher: Springer Science & Business Media

Published: 2013-08-15

Total Pages: 255

ISBN-13: 1461478251

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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.


Lectures On Computation

Lectures On Computation

Author: Richard P. Feynman

Publisher: Addison-Wesley Longman

Published: 1996-09-08

Total Pages: 328

ISBN-13:

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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


Classical Dynamics

Classical Dynamics

Author: Jorge V. José

Publisher: Cambridge University Press

Published: 1998-08-13

Total Pages: 702

ISBN-13: 9780521636360

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A comprehensive graduate-level textbook on classical dynamics with many worked examples and over 200 homework exercises, first published in 1998.


Analytical Mechanics

Analytical Mechanics

Author: A.I. Lurie

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 859

ISBN-13: 3540456775

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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.


Fundamentals of Physics I

Fundamentals of Physics I

Author: R. Shankar

Publisher: Yale University Press

Published: 2019-08-20

Total Pages: 523

ISBN-13: 0300249586

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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.


Lectures on Engineering Mechanics

Lectures on Engineering Mechanics

Author: Stefan Lindström

Publisher: Lindström, Stefan

Published: 2019-06-29

Total Pages: 156

ISBN-13: 9198128744

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Lectures on Engineering Mechanics: Statics and Dynamics is suitable for Bachelor's level education at schools of engineering with an academic profile. It gives a concise and formal account of the theoretical framework of elementary Engineering Mechanics. A distinguishing feature of this textbook is that its content is consistently structured into postulates, definitions and theorems, with rigorous derivations. The reader finds support in a wealth of illustrations and a cross-reference for each deduction. This textbook underscores the importance of properly drawn free-body diagrams to enhance the problem-solving skills of students. Table of contents I. STATICS . . . 1. Introduction . . . 2. Force-couple systems . . . 3. Static equilibrium . . . 4. Center of mass . . . 5. Distributed and internal forces . . . 6. Friction II. PARTICLE DYNAMICS . . . 7. Planar kinematics of particles . . . 8. Kinetics of particles . . . 9. Work-energy method for particles . . . 10. Momentum and angular momentum of particles . . . 11. Harmonic oscillators III. RIGID BODY DYNAMICS . . . 12. Planar kinematics of rigid bodies . . . 13. Planar kinetics of rigid bodies . . . 14. Work-energy method for rigid bodies . . . 15. Impulse relations for rigid bodies . . . 16. Three-dimensional kinematics of rigid bodies . . . 17. Three-dimensional kinetics of rigid bodies APPENDIX . . . A. Selected mathematics . . . B. Quantity, unit and dimension . . . C. Tables