An edition of Modern Introductory Mechanics
(2013)
Modern Introductory Mechanics
by Walter Wilcox
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“Modern Introductory Mechanics, Part I” is a one semester undergraduate textbook covering topics in classical mechanics at an intermediate level. The coverage is rigorous but concise and accessible, with an emphasis on concepts and mathematical techniques which are basic to most fields of physics.
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Publish Date
2013
Publisher
Bookboon.com
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Book Details
Table of Contents
Obsah
Chapter 1: Mathematical Review
Trigonometry
Matrices
Orthogonal Transformations
Scalar and Vector Fields
Vector Algebra and Scalar Differentiation
Alternate Coordinate Systems
Angular Velocity
Differential Operators and Leibnitz Rule
Complex Variables
Problems
Chapter 2: Newtonian Mechanics
Review of Newton’s Laws
Simple Examples using Newton’s Laws
Single Particle Conservation Theorems
Potential Energy and Particle Motion
Equilibrium and Stability in One Dimension
Equilibrium and Stability in D Dimensions
Problems
Chapter 3: Linear Oscillations
General Restoring Forces in One and Two Dimensions
Damped Oscillations
Circuit/Oscillator Analogy
Driven Harmonic Oscillations
Fourier Series Methods
Green Function Methods
Problems
Chapter 4: Nonlinear Oscillations
The Anharmonic Oscillator
The Plane Pendulum
Phase Diagrams and Nonlinear Oscillations
The Logistic Difference Equation
Fractals
Chaos in Physical Systems
Dissipative Phase Space
Lyapunov Exponents
The Intermittent Transition to Chaos
Problems
Chapter 5: Gravitation
Newton’s Law of Gravitation
Gravitational Potential
Modifications for Extended Objects
Eötvös Experiment on Composition Dependence of...
Gravitational Forces
Problems
Chapter 6: Calculus of Variations
Euler-Lagrange Equation
“Second form” of Euler’s Equation
Brachistochrone Problem
The Case of More than One Dependent Variable
The Case of More than One Independent Variable
Constraints
Lagrange Multipliers
Isoperimetric Problems
Variation of the End Points of Integration
Problems
Chapter 7: Lagrangian and Hamiltonian Mechanics
The Action and Hamilton's Principle
Generalized Coordinates
Examples of the Formalism
Two Points about Lagrangian Methods
Types of Constraints
Endpoint Invariance: Multiparticle Conservation Laws
Consequences of Scale Invariance
When Does H=T+U?
Investigation into the Meaning of...
Hamilton’s Equations
Holonomic Constraints in Hamiltonian Formalism
Problem
ID Numbers
Links outside Open Library
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History
- Created September 2, 2015
- 4 revisions
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| August 22, 2020 | Edited by ISBNbot2 | normalize ISBN |
| September 2, 2015 | Edited by Alice Kirk | Edited without comment. |
| September 2, 2015 | Edited by Alice Kirk | Added new cover |
| September 2, 2015 | Created by Alice Kirk | Added new book. |