Classical Mechanics

An Introduction

Author: Dieter Strauch

Publisher: Springer Science & Business Media

ISBN: 3540736166

Category: Science

Page: 405

View: 9639

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This upper-level undergraduate and beginning graduate textbook primarily covers the theory and application of Newtonian and Lagrangian, but also of Hamiltonian mechanics. In addition, included are elements of continuum mechanics and the accompanying classical field theory, wherein four-vector notation is introduced without explicit reference to special relativity. The author's writing style attempts to ease students through the primary and secondary results, thus building a solid foundation for understanding applications. Numerous examples illustrate the material and often present alternative approaches to the final results.
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Chaotic Dynamics

An Introduction Based on Classical Mechanics

Author: Tamás Tél,Márton Gruiz

Publisher: Cambridge University Press

ISBN: 9780521547833

Category: Mathematics

Page: 393

View: 8168

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A clear introduction to chaotic phenomena for undergraduate students in science, engineering, and mathematics.
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An Introduction to Mechanics

Author: Daniel Kleppner,Robert Kolenkow

Publisher: Cambridge University Press

ISBN: 0521198119

Category: Science

Page: 566

View: 4268

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This second edition is ideal for classical mechanics courses for first- and second-year undergraduates with foundation skills in mathematics.
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Introduction to Classical Mechanics

With Problems and Solutions

Author: David Morin

Publisher: Cambridge University Press

ISBN: 1139468375

Category: Science

Page: N.A

View: 6688

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This textbook covers all the standard introductory topics in classical mechanics, including Newton's laws, oscillations, energy, momentum, angular momentum, planetary motion, and special relativity. It also explores more advanced topics, such as normal modes, the Lagrangian method, gyroscopic motion, fictitious forces, 4-vectors, and general relativity. It contains more than 250 problems with detailed solutions so students can easily check their understanding of the topic. There are also over 350 unworked exercises which are ideal for homework assignments. Password protected solutions are available to instructors at www.cambridge.org/9780521876223. The vast number of problems alone makes it an ideal supplementary text for all levels of undergraduate physics courses in classical mechanics. Remarks are scattered throughout the text, discussing issues that are often glossed over in other textbooks, and it is thoroughly illustrated with more than 600 figures to help demonstrate key concepts.
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Classical Mechanics

Author: Matthew J. Benacquista,Joseph D. Romano

Publisher: Springer

ISBN: 3319687808

Category: Science

Page: 546

View: 2356

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This textbook provides an introduction to classical mechanics at a level intermediate between the typical undergraduate and advanced graduate level. This text describes the background and tools for use in the fields of modern physics, such as quantum mechanics, astrophysics, particle physics, and relativity. Students who have had basic undergraduate classical mechanics or who have a good understanding of the mathematical methods of physics will benefit from this book.
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An Introduction to Lagrangian Mechanics

Author: Alain Jean Brizard

Publisher: World Scientific

ISBN: 9812818367

Category: Science

Page: 259

View: 9593

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An Introduction to Lagrangian Mechanics begins with a proper historical perspective on the Lagrangian method by presenting Fermat's Principle of Least Time (as an introduction to the Calculus of Variations) as well as the principles of Maupertuis, Jacobi, and d'Alembert that preceded Hamilton's formulation of the Principle of Least Action, from which the Euler?Lagrange equations of motion are derived. Other additional topics not traditionally presented in undergraduate textbooks include the treatment of constraint forces in Lagrangian Mechanics; Routh's procedure for Lagrangian systems with symmetries; the art of numerical analysis for physical systems; variational formulations for several continuous Lagrangian systems; an introduction to elliptic functions with applications in Classical Mechanics; and Noncanonical Hamiltonian Mechanics and perturbation theory.This textbook is suitable for undergraduate students who have acquired the mathematical skills needed to complete a course in Modern Physics.
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Classical Mechanics with Calculus of Variations and Optimal Control

An Intuitive Introduction

Author: Mark Levi

Publisher: American Mathematical Soc.

ISBN: 0821891383

Category: Mathematics

Page: 299

View: 3262

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This is an intuitively motivated presentation of many topics in classical mechanics and related areas of control theory and calculus of variations. All topics throughout the book are treated with zero tolerance for unrevealing definitions and for proofs which leave the reader in the dark. Some areas of particular interest are: an extremely short derivation of the ellipticity of planetary orbits; a statement and an explanation of the "tennis racket paradox"; a heuristic explanation (and a rigorous treatment) of the gyroscopic effect; a revealing equivalence between the dynamics of a particle and statics of a spring; a short geometrical explanation of Pontryagin's Maximum Principle, and more. In the last chapter, aimed at more advanced readers, the Hamiltonian and the momentum are compared to forces in a certain static problem. This gives a palpable physical meaning to some seemingly abstract concepts and theorems. With minimal prerequisites consisting of basic calculus and basic undergraduate physics, this book is suitable for courses from an undergraduate to a beginning graduate level, and for a mixed audience of mathematics, physics and engineering students. Much of the enjoyment of the subject lies in solving almost 200 problems in this book.
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Classical Mechanics

Author: John Robert Taylor

Publisher: University Science Books

ISBN: 9781891389221

Category: Science

Page: 786

View: 5573

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'Classical Mechanics' is intended for students who have studied some mechanics in an introductory physics course. A particular highlight is the chapter on chaos, which focuses on a few simple systems to give truly comprehensible coverage.
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Quantum Mechanics

An Introduction

Author: Thomas Banks

Publisher: CRC Press

ISBN: 0429796994

Category: Science

Page: 548

View: 8783

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"pedagogical and accessible" —Nathan Seiberg, Professor, Institute for Advanced Study, Princeton, New Jersey "an excellent book" —Andreas Karch, Professor, University of Washington "provides remarkable insights into technical aspects of the subject, but also into the most basic conceptual questions which trouble both new students and more mature researchers" —Michael Dine, Professor, University of California, Santa Cruz This authoritative, advanced introduction provides a complete, modern perspective on quantum mechanics. It clarifies many common misconceptions regarding wave/particle duality and the correct interpretation of measurements. The author develops the text from the ground up, starting from the fundamentals and presenting information at an elementary level, avoiding unnecessarily detailed and complex derivations in favor of simple, clear explanations. He begins in the simplest context of a two-state system and shows why quantum mechanics is inevitable, and what its relationship is to classical mechanics. He also outlines the decoherence approach to interpreting quantum mechanics. Distinguishing features: Provides a thorough grounding in the principles and practice of quantum mechanics, including a core understanding of the behavior of atoms, molecules, solids, and light. Utilizes easy-to-follow examples and analogies to illustrate important concepts. Helps develop an intuitive sense for the field, by guiding the reader to understand how the correct formulas reduce to the non-relativistic ones. Includes numerous worked examples and problems for each chapter. Thomas Banks is a theoretical physicist at University of California, Santa Cruz and a professor at Rutgers University. He earned his PhD in physics from the Massachusetts Institute of Technology, and has been a visiting scholar at the Institute for Advanced Study in Princeton, New Jersey. Professor Banks is the recipient of a Guggenheim Fellowship and is an elected member of the American Academy of Arts and Sciences.
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