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Techniques of classical mechanics : from Lagrangian to Newtonian mechanics /

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 by Cornelius Lanczos. The book has been class-tes...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Zain, Samya (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2019]
Colección:IOP (Series). Release 6.
IOP expanding physics.
Temas:
Acceso en línea:Texto completo

MARC

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082 0 4 |a 531  |2 23 
100 1 |a Zain, Samya,  |e author. 
245 1 0 |a Techniques of classical mechanics :  |b from Lagrangian to Newtonian mechanics /  |c Samya Zain. 
264 1 |a Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) :  |b IOP Publishing,  |c [2019] 
300 |a 1 online resource (various pagings) :  |b illustrations (some color). 
336 |a text  |2 rdacontent 
337 |a electronic  |2 isbdmedia 
338 |a online resource  |2 rdacarrier 
490 1 |a [IOP release 6] 
490 1 |a IOP expanding physics,  |x 2053-2563 
500 |a "Version: 20190101"--Title page verso. 
504 |a Includes bibliographical references. 
505 0 |a 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 between various coordinate systems -- 1.9. Velocity and acceleration -- 1.10. Velocity and acceleration in various coordinates 
505 8 |a 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 
505 8 |a 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 
505 8 |a 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 in a nutshell 
505 8 |a 5. Hamiltonian mechanics -- 5.1. Hamiltonian mechanics -- 5.2. The Hamiltonian principle -- 5.3. Classical and quantum mechanics 
505 8 |a 6. Waves and oscillations -- 6.1. Mechanical waves -- 6.2. Physical properties of waves -- 6.3. Standing waves -- 6.4. Resonance 
505 8 |a 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 mechanics -- 7.6. Spherical pendulum 
505 8 |a 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 : gravitational potential -- 8.6. Kepler's law of planetary motion 
505 8 |a 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. The energy equation -- 9.6. Body with variable mass 
505 8 |a 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 -- 10.6. Motion of a projectile in a uniform gravitational field -- 10.7. Projectile motion : no air resistance 
505 8 |a 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 -- 11.8. Center of buoyancy 
505 8 |a 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 -- 12.6. Damped harmonic oscillator in 1D 
505 8 |a 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 
505 8 |a 14. Properties of solids -- 14.1. Solids -- 14.2. Stress -- 14.3. Strain -- 14.4. Waves in solids 
505 8 |a 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 
505 8 |a 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 
505 8 |a 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 
505 8 |a Appendices. A. Unit conversion -- B. Velocity and acceleration in various coordinates -- C. Noether's theorem -- D. Configuration space. 
520 3 |a 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 by Cornelius Lanczos. The book has been class-tested on Samya's own students on her Newtonian Mechanics course at Susquehanna University, and is accompanied by her own website, which features problems and exercises that will be regularly updated to match students' needs. This book serves as an excellent stepping stone from level 1 introductory physics to graduate level physics and provides a level field for the various techniques used to solve problems in classical mechanics, and to explain more simply the Lagrangian and Hamiltonian methods, and it is a must for junior and senior physics undergraduates. 
521 |a Junior and senior physics undergraduates. 
530 |a Also available in print. 
538 |a Mode of access: World Wide Web. 
538 |a System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader. 
545 |a 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 and was awarded the distinguished teaching award there in 2016. She has been a member of the BABAR scientific research collaboration at SLAC (Stanford Linear Accelerator Center), at Stanford University, California and the ATLAS collaboration at CERN. 
588 |a Title from PDF title page (viewed on February 4, 2019). 
650 0 |a Mechanics. 
650 7 |a Classical mechanics.  |2 bicssc 
650 7 |a SCIENCE / Mechanics / General.  |2 bisacsh 
710 2 |a Institute of Physics (Great Britain),  |e publisher. 
776 0 8 |i Print version:  |z 9780750320740 
830 0 |a IOP (Series).  |p Release 6. 
830 0 |a IOP expanding physics. 
856 4 0 |u https://iopscience.uam.elogim.com/book/978-0-7503-2076-4  |z Texto completo