A handbook of mathematical methods and problem-solving tools for introductory physics /

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This is a companion textbook for an introductory course in physics. The purpose is to thoroughly link the theories students learn in class with actual problem-solving techniques. In other words, it addresses the common complaint that 'I feel like I understand the concepts, but I can't do t...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Whitney, Joshua F. (Autor), Whitney, Heather M. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2021]
Edición:Second edition.
Colección:IOP (Series). Release 21.
IOP ebooks. 2021 collection.
Temas:
Mathematical physics.
Maths for scientists.
SCIENCE / Physics / Mathematical & Computational.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Introduction
  • 2. Kinematics
  • 2.1. Equations needed with symbols defined
  • 2.2. Understanding the equations
  • 2.3. Keeping the signs straight
  • 2.4. Motion in two dimensions : relating x and y
  • 2.5. Summary and important notes
  • 3. Newton's laws
  • 3.1. Applying the first law
  • 3.2. Applying the second law
  • 3.3. Applying the third law
  • 3.4. Examples
  • 3.5. Summary and important notes
  • 4. Energy and momentum
  • 4.1. Energy
  • 4.2. Example
  • 4.3. Momentum
  • 4.4. Types of collisions
  • 4.5. Summary and important notes
  • 5. Circular and rotational motion
  • 5.1. Centripetal force
  • 5.2. Torque
  • 5.3. Waves
  • 5.4. Oscillations
  • 5.5. Traveling waves
  • 5.6. Standing waves and boundary conditions
  • 6. Basic optics
  • 6.1. Diffraction and interference
  • 6.2. Thin lenses
  • 6.3. Summary and important notes
  • 7. The right-hand rule
  • 7.1. How to use it properly
  • 7.2. Special case of magnetic fields from currents
  • 7.3. Summary and important notes
  • 8. Electric fields and electric potential
  • 8.1. Finding fields and forces from point charges
  • 8.2. Electric potential from point charges
  • 8.3. Summary and important notes
  • 9. Magnetic fields
  • 9.1. Biot-Savart law
  • 9.2. Magnetic forces
  • 9.3. Trigonometry for electric and magnetic field integrals
  • 9.4. Induced currents : Faraday's and Lenz's law
  • 10. Circuits
  • 10.1. Ohm's law
  • 10.2. Kirchhoff's loop and junction laws
  • 10.3. Summary and important notes
  • 11. Modern physics
  • 11.1. Relativity
  • 11.2. Quantum mechanics
  • 11.3. Brief aside on energy equations
  • 11.4. Summary and important notes
  • 12. General problem-solving tips
  • 12.1. Break the problem down into as small pieces as possible
  • 12.2. Write down everything you have and what you are trying to find
  • 12.3. Check units
  • 12.4. Pull all the 10n factors out of your calculation before putting it in your calculator
  • 12.5. Practice algebra
  • 12.6. Keep everything symbolic as long as possible
  • 12.7. Electron volts.

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