Key Features 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) Description 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. Readership Students in sophomore or junior level first courses in linear algebra. The prerequisite is differential calculus. Intended primarily for students majoring in mathematics who will shortly be taking more advanced classes. Quotes "...a wonderful book where classical material (theorems and their proofs) is nicely balanced with various modern computer-related tools" --Sergei Bezrukov, University of Wisconsin "I would definitely choose Andrilli/Hecker over Lay's book...The range of exercises is excellent..." --Vania Mascioni, Ball State University "...between the present versions of Andrilli/Hecker and Johnson/Reiss/Arnold, I would have little difficulty in deciding on Andrilli/Hecker." --John Lawlor, University of Vermont "...This text is more rigorous than Anton/Rorres. The presentation is much more clear than Nicolson. It is beneficial to the Instructor and the students..." --Ali Miri, University of Toronto Author Information By Stephen Andrilli , LaSalle University, Philadelphia, Pennsylvania, USA; and Professor David Hecker , Saint Joseph's University, Philadelphia, Pennsylvania, USA Table of Contents Preface 1. Vectors a
The biggest strength of this book is the huge number of problems and exercises. Pretty readable, but not great for developing geometric intuition. Some unconventional choices about the order in which the material is presented (dimension, surjection, injection, and isomorphism come very late, while eigenspaces appear early). All in all, maybe my favorite introductory linear algebra text.