s p o n s o r e d   l i n k s


Calculus.pdf

October 8, 2009 · Filed Under Math  · Tags: , , , ,

Calculus, by Gilbert Strang, published in 1991 and still in print from Wesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. This book is available online free at MIT Open Courseware.

Contents:

  • 1: Introduction to Calculus
    • 1.1 Velocity and Distance
    • 1.2 Calculus Without Limits
    • 1.3 The Velocity at an Instant
    • 1.4 Circular Motion
    • 1.5 A Review of Trigonometry
    • 1.6 A Thousand Points of Light
    • 1.7 Computing in Calculus
  • 2: Derivatives
    • 2.1 The Derivative of a Function
    • 2.2 Powers and Polynomials
    • 2.3 The Slope and the Tangent Line
    • 2.4 Derivative of the Sine and Cosine
    • 2.5 The Product and Quotient and Power Rules
    • 2.6 Limits
    • 2.7 Continuous Functions
  • 3: Applications of the Derivative
    • 3.1 Linear Approximation
    • 3.2 Maximum and Minimum Problems
    • 3.3 Second Derivatives: Minimum vs. Maximum
    • 3.4 Graphs
    • 3.5 Ellipses, Parabolas, and Hyperbolas
    • 3.6 Iterations x[n+1] = F(x[n])
    • 3.7 Newton’s Method and Chaos
    • 3.8 The Mean Value Theorem and l’Hopital’s Rule
  • 4: The Chain Rule
    • 4.1 Derivatives by the Charin Rule
    • 4.2 Implicit Differentiation and Related Rates
    • 4.3 Inverse Functions and Their Derivatives,pp. 164-170
    • 4.4 Inverses of Trigonometric Functions
  • 5: Integrals
    • 5.1 The Idea of an Integral
    • 5.2 Antiderivatives
    • 5.3 Summation vs. Integration
    • 5.4 Indefinite Integrals and Substitutions
    • 5.5 The Definite Integral
    • 5.6 Properties of the Integral and the Average Value
    • 5.7 The Fundamental Theorem and Its Consequences
    • 5.8 Numerical Integration
  • 6: Exponentials and Logarithms
    • 6.1 An Overview
    • 6.2 The Exponential e^x
    • 6.3 Growth and Decay in Science and Economics
    • 6.4 Logarithms
    • 6.5 Separable Equations Including the Logistic Equation
    • 6.6 Powers Instead of Exponentials
    • 6.7 Hyperbolic Functions
  • 7: Techniques of Integration
    • 7.1 Integration by Parts
    • 7.2 Trigonometric Integrals
    • 7.3 Trigonometric Substitutions
    • 7.4 Partial Fractions
    • 7.5 Improper Integrals
  • 8: Applications of the Integral
    • 8.1 Areas and Volumes by Slices
    • 8.2 Length of a Plane Curve
    • 8.3 Area of a Surface of Revolution
    • 8.4 Probability and Calculus
    • 8.5 Masses and Moments
    • 8.6 Force, Work, and Energy
  • 9: Polar Coordinates and Complex Numbers
    • 9.1 Polar Coordinates
    • 9.2 Polar Equations and Graphs
    • 9.3 Slope, Length, and Area for Polar Curves
    • 9.4 Complex Numbers
  • 10: Infinite Series
    • 10.1 The Geometric Series
    • 10.2 Convergence Tests: Positive Series
    • 10.3 Convergence Tests: All Series
    • 10.4 The Taylor Series for e^x, sin x, and cos x
    • 10.5 Power Series
  • 11: Vectors and Matrices
    • 11.1 Vectors and Dot Products
    • 11.2 Planes and Projections
    • 11.3 Cross Products and Determinants
    • 11.4 Matrices and Linear Equations
    • 11.5 Linear Algebra in Three Dimensions
  • 12: Motion along a Curve
    • 12.1 The Position Vector
    • 12.2 Plane Motion: Projectiles and Cycloids
    • 12.3 Tangent Vector and Normal Vector
    • 12.4 Polar Coordinates and Planetary Motion
  • 13: Partial Derivatives
    • 13.1 Surface and Level Curves
    • 13.2 Partial Derivatives
    • 13.3 Tangent Planes and Linear Approximations
    • 13.4 Directional Derivatives and Gradients
    • 13.5 The Chain Rule
    • 13.6 Maxima, Minima, and Saddle Points
    • 13.7 Constraints and Lagrange Multipliers
  • 14: Multiple Integrals
    • 14.1 Double Integrals
    • 14.2 Changing to Better Coordinates
    • 14.3 Triple Integrals
    • 14.4 Cylindrical and Spherical Coordinates
  • 15: Vector Calculus
    • 15.1 Vector Fields
    • 15.2 Line Integrals
    • 15.3 Green’s Theorem
    • 15.4 Surface Integrals
    • 15.5 The Divergence Theorem
    • 15.6 Stokes’ Theorem and the Curl of F
  • 16: Mathematics after Calculus
    • 16.1 Linear Algebra
    • 16.2 Differential Equations
    • 16.3 Discrete Mathematics

This calculus text book is available FREE at Massachusetts Institute of Technology Open Courseware website, we merely collect the information, Online Free Ebooks neither affiliated with the author(s), the website, MIT and Wesley-Cambridge Press brand nor responsible for its content and change of content. (Read our disclaimer here or here before you download the document from the website written above by clicking the below link).

Download free Calculus.pdf (pages pdf file, 38.5 MB).

Related posts




You might also be interested in reading:
calculus pdf, calculus, calculus pdf download, calculus pdf free download, free calculus textbook, calculus download, integral calculus pdf, free calculus pdf, textbook pdf, online calculus book pdf
« Prev
Next »

Disclaimer

http://www.onlinefreeebooks.net - provides you collection of links to other websites containing ebooks/manuals/cheatsheets either for computer geeks, technicians, automotive enthusiasts or programmers. We merely take the power of Google Search to find those materials and link to it. NONE OF THOSE MATERIALS ARE HOSTED IN THIS SERVER NOR UPLOADED BY ME IN SOMEONE'S SERVERS.

We are neither affiliated with authors and brands nor responsible for its content and change of content.

Information contained herein is provided "as is" without warranty of any kind, either expressed or implied, including any warranty of merchantability or fitness for a particular purpose. In no event shall ANYONE be held liable for any loss of profit, special, incidental, consequential, or other similar claims.

Comments

One Response to “Calculus.pdf”

  1. bassamss on November 10th, 2009 1:18 pm

    Calculus, by Gilbert Strang, published in 1991 and still in print from Wesley-Cambridge Press, the book is a useful resource for educators and self-learners alike

Leave a Reply