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. * Clearly explains principles and guides students through the effective transition to higher-level math * Includes a wide variety of applications, technology tips, and exercises, including new true/false exercises in every section * Provides an early introduction to eigenvalues/eigenvectors* Accompanying Instructor's Manual and Student Solutions Manual (ISBN: 0-12-058622-3)