Basic Mathematics for the Physical Sciences

BASIC ARITHMETIC AND ALGEBRA.

Introducing Arithmetic and Algebra.

Numbers, Units and Physical Quantities.

Functions and Graphs.

Solving Equations.

Trigonometric Functions.

Exponential and Logarithmic Functions.

Hyperbolic Functions.

BASIC GEOMETRY.

Introducing Geometry.

Coordinate Geometry.

Conic Sections.

BASIC VECTOR ALGEBRA.

Introducing Scalars and Vectors.

Working with Vectors.

BASIC DIFFERENTIATION.

Introducing Differentiation.

Differentiating Simple Functions.

Differentiating Composite Functions.

Stationary Points and Graph Sketching.

BASIC INTEGRATION.

Introducing Integration.

Integrating Simple Functions.

Integrating by Parts and by Substitution.

Appendix.

Answers and Comments.

Index.