Suitable for upper-level undergraduates and graduate students, this text presents an extensive analysis of Lorenz equations that comprises the most widely studied parameter ranges. A brief introduction and discussion of simple properties proceeds to examinations of homoclinic explosions; preturbulence, strange attractors, and geometric models; period doubling and stable orbits; symbolic descriptions of orbits; and equations involving large "r and small "b. The text concludes with a brief summary, a discussion of alternative approaches to Lorenz equations, and extensive appendixes.