Calculus

Book 
Description: Published in 1991 and still available in print; This text is offered online by MIT's Online CourseWare Initiative.
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Author(s): Strang, Gilbert
License: Commercial
Format: PDF
Price: free online
URL: http://ocw.mit.edu/ ans7870/ textbooks/ Strang/ strangtext.htm
Limitations: Chapters must be individually downloaded.
ReviewText: Chapters include:
 Introduction to Calculus
 Derivatives
 Applications of the Derivative
 The Chain Rule
 Integrals
 Exponentials and Logarithms
 Techniques of Integration
 Polar Coordinates and Complex Numbers
 Infinite Series
 Vectors and Matrices
 Partial Derivatives
 and more...
Keywords: complex numbers
, calculus
, mathematics
, integrals
, derivatives
, MIT
, Open CourseWare
, chain rule
, polar coordinates
, exponentials
, logarithms
Submitter: EE HomePage Editorial Staff
Affiliation: None
xml_ID: 1146630310 ( single entry page)

Calculus

Book 
Description: 133 page calculus text by Benjamin Crowell.
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Author(s): Crowell, Benjamin
License: Commercial
Format: PDF
Price: Free
URL: http://www.wowio.com/ users/ product.asp? BookId=209& amp;txtSearch=calculus& amp;cbBrowse=0
Limitations: This text can be downloaded from http://www.wowio.com, a new site which allows legal downloading of numerous texts. The price you have to pay is providing them proof that you reside in the U.S.A., your name, email and some demographic information. A credit card can be used to verify your locale, the number is not kept on their system, and only a token charge of 1 cent temporarily shows up on your bill. The service is currently available only in the U.S.A..
Based on the demographic information you provide, they insert advertisement pages in the book PDFs, which is how they pay for the service.
ReviewText: Topics include:
 Rates of Change
 Differentiation
 Integration,
 Techniques, including Newton's method and Taylor series
 Complex number techniques
Keywords: calculus
, probability
, mathematics
, derivatives
, polar coordinates
, Integration
, L'Hopital's rule
, product rule in calculus
, chain rule in calculus
, spherical coordinates
, cylindrical coordinates
, Newton's method
, Taylor series
Submitter: EE HomePage Editorial Staff
Affiliation: None
xml_ID: 1170560315 (single entry page)

A Radically Modern Approach to Introductory Physics

Book 
Description: This online textbook covers a broad range of topics in modern physics.
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Author(s): Raymond, David J.
License: Some Restrictions (includes GNU)
Format: Video
Price: Free
URL: http://kestrel.nmt.edu/ ~raymond/ classes/ ph13xbook/ index.html
ReviewText: Contents include:
 Waves in One Dimension
 Transverse and Longitudinal Waves
 Sine Waves
 Types of Waves
 Superposition Principle
 Beats
 Interferometers
 Thin Films
 Math Tutorial  Derivatives
 Group Velocity
 Waves in Two and Three Dimensions
 Math Tutorial  Vectors
 Plane Waves
 Superposition of Plane Waves
 Diffraction Through a Single Slit
 Two Slits
 Diffraction Gratings
 Geometrical Optics
 Reflection and Refraction
 Total Internal Reflection
 Anisotropic Media
 Thin Lens Formula and Optical Instruments
 Fermat's Principle
 Kinematics of Special Relativity
 Galilean Spacetime Thinking
 Spacetime Thinking in Special Relativity
 Postulates of Special Relativity
 Time Dilation
 Lorentz Contraction
 Twin Paradox
 Applications of Special Relativity
 Waves in Spacetime
 Math Tutorial  FourVectors
 Principle of Relativity Applied
 Characteristics of Relativistic Waves
 The Doppler Effect
 Addition of Velocities
 Acceleration and General Relativity
 Acceleration
 Circular Motion
 Acceleration in Special Relativity
 Acceleration, Force, and Mass
 Accelerated Reference Frames
 Gravitational Red Shift
 Event Horizons
 Matter Waves
 Bragg's Law
 XRay Diffraction Techniques
 Meaning of Quantum Wave Function
 Sense and Nonsense in Quantum Mechanics
 Mass, Momentum, and Energy
 Heisenberg Uncertainty Principle
 Geometrical Optics and Newton's Laws
 Fundamental Principles of Dynamics
 OneDimensional NonRelativistic Case
 Potential Energy

Work and Power

Math Tutorial  Partial Derivatives

Motion in Two and Three Dimensions

Kinetic and Potential Momentum

Wave Mechanics

Math Tutorial  Complex Waves

Free Particle Wave Function

Effects of Varying Potential Energy

Confined Particles

Dynamics of Multiple Particles

Momentum and Newton's Second Law

Newton's Third Law

Conservation of Momentum

Collisions

Rockets and Conveyor Belts

Rotational Dynamics

Math Tutorial  Cross Product

Torque and Angular Momentum

The Uneven Dumbbell

Two Particles in General

Many Particles

Rigid Bodies

Statics

Harmonic Oscillator

Energy Analysis

Analysis Using Newton's Laws

Forced Oscillator

Quantum Mechanical Harmonic Oscillator

Newton's Law of Gravitation

The Law of Gravitation

Gravitational Field

Gravitational Flux

Flux from Multiple Masses

Effects of Relativity

Kepler's Laws

Use of Conservation Laws

Forces in Relativity

Potential Momentum

AharonovBohm Effect

Forces from Potential Momentum

Lorentz Condition

Gauge Theories and Other Theories

Conservation of FourMomentum Again

Virtual Particles

Virtual Particles and Gauge Theory

Negative Energies and Antiparticles

Electromagnetic Forces

Electromagnetic FourPotential

Electric and Magnetic Fields and Forces

A Note on Units

Charged Particle Motion

Forces on Currents in Conductors

Torque on a Magnetic Dipole and Electric Motors

Electric Generators and Faraday's Law

EMF and Scalar Potential

Generation of Electromagnetic Fields

Coulomb's Law and the Electric Field

Gauss's Law for Electricity

Gauss's Law for Magnetism

Coulomb's Law and Relativity

Moving Charge and Magnetic Fields

Electromagnetic Radiation

The Lorentz Condition

Capacitors, Inductors, and Resistors

The Capacitor and Ampere's Law

The Capacitor

Circulation of a Vector Field

Ampere's Law

Magnetic Induction and Inductors

Resistance and Resistors

Energy of Electric and Magnetic Fields

Kirchhoff's Laws

Measuring the Very Small

Continuous Matter or Atoms?

The Ring Around the Moon

The GeigerMarsden Experiment

Cosmic Rays and Accelerator Experiments

Commentary

Atoms

Fermions and Bosons

The Hydrogen Atom

The Periodic Table of the Elements

Atomic Spectra

The Standard Model

Quarks and Leptons

Quantum Chromodynamics

The Electroweak Theory

Grand Unification?

Atomic Nuclei

Molecules  an Analogy

Nuclear Binding Energies

Radioactivity

Nuclear Fusion and Fission

Heat, Temperature, and Friction

Temperature

Heat

Specific Heat

First Law of Thermodynamics

Heat Conduction

Thermal Radiation

Friction

Entropy

States of a Brick

Second Law of Thermodynamics

Two Bricks in Thermal Contact

Thermodynamic Temperature

Specific Heat

Entropy and Heat Conduction

The Ideal Gas and Heat Engines

Ideal Gas

Slow and Fast Expansions

Heat Engines

Perpetual Motion Machines

Constants

Constants of Nature

Properties of Stable Particles

Properties of Solar System Objects

Miscellaneous Conversions
Keywords: reflection
, Kirchhoff's Laws
, quantum mechanics
, derivatives
, Newton's Laws
, acceleration
, thermodynamics
, Doppler Effect
, fusion
, optics
, refraction
, diffraction
, relativity
, thermal radiation
, capacitors
, oscillator
, Faraday's Law
, thin films
, inductors
, resistors
, electric motors
, Superposition Principle
, interferometers
, group velocity
, plane waves
, Fermat's Principle
, Special Relativity
, time dilation
, Lorentz Contraction
, General Relativity
, red shift
, matter waves
, Bragg's Law
, Xray diffraction
, Heisenberg Uncertainty Principle
, Kepler's Laws
, AharonovBohm Effect
, Lorentz Condition
, magnetic dipole
, EMF
, Coulomb's Law
, Gauss's Laws
, electromagnetic radiation
, cosmic rays
, quarks
, leptons
, radioactivity
, fission
, entropy
, heat conduction
Submitter: EE HomePage Editorial Staff
Affiliation: None
xml_ID: 1175387352 ( single entry page)
