The transition to upper-level math courses is often difficult because of the shift in emphasis from computation (in calculus) to abstraction and proof (in junior/senior courses). This book provides guidance with the reading and writing of short proofs, and incorporates a gradual increase in abstraction as the chapters progress. This helps students prepare to meet the challenges of future courses such as abstract algebra and elementary analysis. This book clearly explains principles and guides students through the effective transition to higher-level math. It includes a wide variety of applications, technology tips, and exercises, including new true/false exercises in every section. It provides an early introduction to eigenvalues/eigenvectors. It is accompanied by "Instructor's Manual and Student Solutions Manual" (ISBN: 0-12-058622-3).