Techniques of classical mechanics : from Lagrangian to Newtonian mechanics / Samya Zain.

By: Zain, Samya [author.]Contributor(s): Institute of Physics (Great Britain) [publisher.]Material type: TextTextSeries: IOP (Series)Release 6 | IOP expanding physicsPublisher: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2019]Description: 1 online resource (various pagings) : illustrations (some color)Content type: text Media type: electronic Carrier type: online resourceISBN: 9780750320764 ebookSubject(s): Mechanics | Classical mechanics | SCIENCE / Mechanics / GeneralAdditional physical formats: Print version:: No titleDDC classification: 531 LOC classification: QC125.2 .Z358 2019ebOnline resources: e-book Full-text access Also available in print.
Contents:
1. Foundations -- 1.1. The nature of science -- 1.2. Units -- 1.3. International system of units (SI) -- 1.4. Dimensional analysis -- 1.5. A quick review of vectors -- 1.6. Derivatives of vectors -- 1.7. Position vector -- 1.8. Transformation be
2. Conservation laws -- 2.1. Introduction -- 2.2. Conservation laws -- 2.3. Forces that depend on position : energy considerations -- 2.4. One-dimensional conservative system : complete solution
3. Newtonian mechanics -- 3.1. Introduction -- 3.2. Rectilinear motion under uniform acceleration -- 3.3. Linear momentum -- 3.4. Newton's laws of motion -- 3.5. Torque
4. Lagrangian mechanics -- 4.1. Lagrangian mechanics -- 4.2. From Newtonian to Lagrangian formalism -- 4.3. Choosing Lagrange's formalism--when and where? -- 4.4. Lagrangian formalism for non-conservative forces -- 4.5. The Lagrangian formalism
5. Hamiltonian mechanics -- 5.1. Hamiltonian mechanics -- 5.2. The Hamiltonian principle -- 5.3. Classical and quantum mechanics
6. Waves and oscillations -- 6.1. Mechanical waves -- 6.2. Physical properties of waves -- 6.3. Standing waves -- 6.4. Resonance
7. Simple harmonic oscillation -- 7.1. Harmonic oscillator -- 7.2. Energy consideration in harmonic oscillator -- 7.3. About various pendulums -- 7.4. Simple gravity pendulum -- 7.5. Elastic pendulum -- 7.5..1 Elastic pendulum--Lagrangian mechan
8. Gravitation and central forces -- 8.1. Introduction -- 8.2. Newton's law of universal gravitation -- 8.3. Gravity -- 8.4. Gravitational force between a uniform sphere and a particle -- 8.5. Potential energy in a gravitational field : gravitat
9. Two- and three-dimensional dynamics -- 9.1. Introduction : general principles -- 9.2. Some useful mathematical concepts -- 9.3. Conservative and non-conservative forces in 3D -- 9.4. Generalized conservation of energy principle in 3D -- 9.5.
10. Circular and projectile motion -- 10.1. Motion in higher dimensions -- 10.2. Uniform circular motion -- 10.3. Rotational motion -- 10.4. Rectilinear motion and rotation about a fixed axis -- 10.5. Harmonic oscillator in higher dimensions --
11. Fluid-statics -- 11.1. Types of materials -- 11.2. Fluid-statics -- 11.3. Pressure and density in fluid-statistics -- 11.4. Pressure in fluid-statistics -- 11.5. Archimedes' principle -- 11.6. Specific gravity -- 11.7. Pascal's principle --
12. Fluid resistance -- 12.1. Fluid resistance -- 12.2. Forces as a function of velocity : fluid resistance -- 12.3. A falling object under linear drag -- 12.4. Falling object : the quadratic case -- 12.5. Projectile motion : air resistance -- 1
13. Fluid dynamics -- 13.1. Fluid dynamics -- 13.2. Fluid flow -- 13.3. Viscosity -- 13.4. Bernoulli's principle -- 13.5. Velocity of the fall of a sphere through a viscous liquid -- 13.6. Turbulent motion and Reynolds number
14. Properties of solids -- 14.1. Solids -- 14.2. Stress -- 14.3. Strain -- 14.4. Waves in solids
15. Rotation--motion of rigid bodies -- 15.1. Rigid bodies -- 15.2. Moment of inertia -- 15.3. Mass on an incline -- 15.4. Laminar motion of a rigid body
16. System of particles -- 16.1. System of particles -- 16.2. Two-particle system -- 16.3. Many-particle systems -- 16.4. Conservation of momentum in a system of -- 16.5. Collisions -- 16.6. 1D collision in the center-of-momentum reference frame
17. Scattering theory -- 17.1. Cross-section -- 17.2. Types of scattering -- 17.3. Neutral cross-section -- 17.4. Capture cross-section -- 17.5. Repulsive cross-section -- 17.6. Scattering of alpha particles
Appendices. A. Unit conversion -- B. Velocity and acceleration in various coordinates -- C. Noether's theorem -- D. Configuration space.
Abstract: Samya Zain's work fulfils the niche that connects introductory physics level books, like Phyiscs by Halliday, Resnick and Krane, to graduate level books like Analytical Mechanics by Fowles and Cassiday and The Variational Principles of Mechanics
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E-Books MEF eKitap Kütüphanesi
IOP Science eBook - EBA QC125.2 .Z358 2019eb (Browse shelf (Opens below)) Available IOP_20210115

"Version: 20190101"--Title page verso.

Includes bibliographical references.

1. Foundations -- 1.1. The nature of science -- 1.2. Units -- 1.3. International system of units (SI) -- 1.4. Dimensional analysis -- 1.5. A quick review of vectors -- 1.6. Derivatives of vectors -- 1.7. Position vector -- 1.8. Transformation be

2. Conservation laws -- 2.1. Introduction -- 2.2. Conservation laws -- 2.3. Forces that depend on position : energy considerations -- 2.4. One-dimensional conservative system : complete solution

3. Newtonian mechanics -- 3.1. Introduction -- 3.2. Rectilinear motion under uniform acceleration -- 3.3. Linear momentum -- 3.4. Newton's laws of motion -- 3.5. Torque

4. Lagrangian mechanics -- 4.1. Lagrangian mechanics -- 4.2. From Newtonian to Lagrangian formalism -- 4.3. Choosing Lagrange's formalism--when and where? -- 4.4. Lagrangian formalism for non-conservative forces -- 4.5. The Lagrangian formalism

5. Hamiltonian mechanics -- 5.1. Hamiltonian mechanics -- 5.2. The Hamiltonian principle -- 5.3. Classical and quantum mechanics

6. Waves and oscillations -- 6.1. Mechanical waves -- 6.2. Physical properties of waves -- 6.3. Standing waves -- 6.4. Resonance

7. Simple harmonic oscillation -- 7.1. Harmonic oscillator -- 7.2. Energy consideration in harmonic oscillator -- 7.3. About various pendulums -- 7.4. Simple gravity pendulum -- 7.5. Elastic pendulum -- 7.5..1 Elastic pendulum--Lagrangian mechan

8. Gravitation and central forces -- 8.1. Introduction -- 8.2. Newton's law of universal gravitation -- 8.3. Gravity -- 8.4. Gravitational force between a uniform sphere and a particle -- 8.5. Potential energy in a gravitational field : gravitat

9. Two- and three-dimensional dynamics -- 9.1. Introduction : general principles -- 9.2. Some useful mathematical concepts -- 9.3. Conservative and non-conservative forces in 3D -- 9.4. Generalized conservation of energy principle in 3D -- 9.5.

10. Circular and projectile motion -- 10.1. Motion in higher dimensions -- 10.2. Uniform circular motion -- 10.3. Rotational motion -- 10.4. Rectilinear motion and rotation about a fixed axis -- 10.5. Harmonic oscillator in higher dimensions --

11. Fluid-statics -- 11.1. Types of materials -- 11.2. Fluid-statics -- 11.3. Pressure and density in fluid-statistics -- 11.4. Pressure in fluid-statistics -- 11.5. Archimedes' principle -- 11.6. Specific gravity -- 11.7. Pascal's principle --

12. Fluid resistance -- 12.1. Fluid resistance -- 12.2. Forces as a function of velocity : fluid resistance -- 12.3. A falling object under linear drag -- 12.4. Falling object : the quadratic case -- 12.5. Projectile motion : air resistance -- 1

13. Fluid dynamics -- 13.1. Fluid dynamics -- 13.2. Fluid flow -- 13.3. Viscosity -- 13.4. Bernoulli's principle -- 13.5. Velocity of the fall of a sphere through a viscous liquid -- 13.6. Turbulent motion and Reynolds number

14. Properties of solids -- 14.1. Solids -- 14.2. Stress -- 14.3. Strain -- 14.4. Waves in solids

15. Rotation--motion of rigid bodies -- 15.1. Rigid bodies -- 15.2. Moment of inertia -- 15.3. Mass on an incline -- 15.4. Laminar motion of a rigid body

16. System of particles -- 16.1. System of particles -- 16.2. Two-particle system -- 16.3. Many-particle systems -- 16.4. Conservation of momentum in a system of -- 16.5. Collisions -- 16.6. 1D collision in the center-of-momentum reference frame

17. Scattering theory -- 17.1. Cross-section -- 17.2. Types of scattering -- 17.3. Neutral cross-section -- 17.4. Capture cross-section -- 17.5. Repulsive cross-section -- 17.6. Scattering of alpha particles

Appendices. A. Unit conversion -- B. Velocity and acceleration in various coordinates -- C. Noether's theorem -- D. Configuration space.

Samya Zain's work fulfils the niche that connects introductory physics level books, like Phyiscs by Halliday, Resnick and Krane, to graduate level books like Analytical Mechanics by Fowles and Cassiday and The Variational Principles of Mechanics

Junior and senior physics undergraduates.

Also available in print.

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.

Samya Zain gained her PhD at The State University of New York at Albany and was awarded the Best Teaching Assistant Award for the year 2002. She is currently Associate Professor of Physics and Department Head of Physics at Susquehanna University

Title from PDF title page (viewed on February 4, 2019).