**The word Calculus derived from the Latin word meaning “small stone”.**

**Calculus, a branch of mathematics deals with the calculation of instantaneous rates of change (differential calculus) and the summation of infinitely many small factors to determine some whole (integral calculus).**

**Calculus** is the one approach which makes possible to solve problems as diverse like tracking the position of a space shuttle or calculating the pressure building up behind a dam as the water rises.

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# Gilbert Strang Calculus Book Pdf download

**Table of Content – “Gilbert Strang Calculus Book Pdf”**

1. ** Introduction to Calculus**

- Velocity and Distance
- Calculus Without Limits
- The Velocity at an Instant
- Circular Motion
- A Review of Trigonometry
- A Thousand Points of Light
- Computing in Calculus

2.** Derivatives **

- The Derivative of a Function
- Powers and Polynomials
- The Slope and the Tangent Line
- The derivative of the Sine and Cosine
- The Product and Quotient and Power Rules
- Limits
- Continuous Functions

3. **Applications of the Derivative **

- Linear Approximation
- Maximum and Minimum Problems
- Second Derivatives: Minimum vs. Maximum
- Graphs
- Ellipses, Parabolas, and Hyperbolas
- Iterations x,+ ,= F(x,)
- Newton’s Method and Chaos
- The Mean Value Theorem and l’H8pital’s

4. **The Chain Rule **

- Derivatives by the Chain Rule
- Implicit Differentiation and Related Rates
- Inverse Functions and Their Derivatives
- Inverses of Trigonometric Functions

5. **Integrals **

- The Idea of the Integral
- Anti-derivatives
- Summation vs. Integration
- Indefinite Integrals and Substitutions
- The Definite Integral
- Properties of the Integral and the Average Value
- The Fundamental Theorem and Its Consequences
- Numerical Integration

6.** Exponential and Logarithms **

- An Overview
- The Exponential ex
- Growth and Decay in Science and Economics
- Logarithms
- Separable Equations Including the Logistic Equation
- Powers Instead of Exponentials
- Hyperbolic Functions

7. **Techniques of Integration **

- Integration by Parts
- Trigonometric Integrals
- Trigonometric Substitutions
- Partial Fractions
- Improper Integrals

8. **Applications of the Integral **

- Areas and Volumes by Slices
- Length of a Plane Curve
- Area of a Surface of Revolution
- Probability and Calculus
- Masses and Moments
- Force, Work, and Energy

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