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Author(s): Cain, George & Herold, James
License: Commercial
Format: PDF
Price: free online
URL: http://www.math.gatech.edu/ ~cain/ notes/ calculus.html
Limitations: Each chapter is packaged as an individual PDF file (there are 19 chapters).
ReviewText: Table of Contents includes:

• Euclidean Three Space
• Vector Functions
• Derivatives
• More Dimensions
• Linear Functions and Matrices
• The Taylor Polynomial
• Sequences, Series, and All That
• Taylor Series
• Integration
• and more...

Keywords: calculus , mathematics , Taylor , integrals , derivatives , matrices
Submitter: EE HomePage Editorial Staff
Affiliation: None
xml_ID: 1146629153 (single entry page)

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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)

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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)
  

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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 - Four-Vectors
  • 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
  • X-Ray 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
  • One-Dimensional Non-Relativistic 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
  • Aharonov-Bohm Effect
  • Forces from Potential Momentum
  • Lorentz Condition
  • Gauge Theories and Other Theories
  • Conservation of Four-Momentum Again
  • Virtual Particles
  • Virtual Particles and Gauge Theory
  • Negative Energies and Antiparticles
• Electromagnetic Forces
  • Electromagnetic Four-Potential
  • 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 Geiger-Marsden 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 , X-ray diffraction , Heisenberg Uncertainty Principle , Kepler's Laws , Aharonov-Bohm 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)