Acclaimed authors Edwards and Penney combine core topics in elementary differential equations with those concepts and methods of elementary linear algebra needed for a contemporary combined introduction to differential equations and linear algebra. Known for its real-world applications and its blend of algebraic and geometric approaches, this book discusses mathematical modeling of real-world phenomena, with a fresh new computational and qualitative flavor evident throughout in figures, examples, problems, and applications.
First-Order Differential Equations; Mathematical Models and Numerical Methods; Linear Systems and Matrices; Vector Spaces; Higher-Order Linear Differential Equations; Eigenvalues and Eigenvectors; Linear Systems of Differential Equations; Matrix Exponential Methods; Nonlinear Systems and Phenomena; Laplace Transform Methods; Power Series Methods.
For future math majors, engineers, or scientists that have taken two or three semesters of Calculus.
This sucked. I crammed a bunch of this on the bathroom floor before my exam freshman year of college and it was also the first time I started experimenting with black eyeliner, so I was trying to figure out what the fuck dual space is, tearing up, came out of the bathroom with it smudged all over my face, "took" the exam, walked out and my buddy went "Oooh I like the goth look!" with 100% sincerity and I just said "Thanks." absentmindedly because my brain had just been melted down and recast inside of a Moron Mold (thanks for NOTHING Prof. Leslie!!!!) then I got home, looked in the mirror, and came face-to-face with Raccoon Sophia. Horrifying.
I don't want to sound like too much of a bitter hater but this was perhaps the worst math textbook I've ever read. Definitely a victim of mathematician-speak "the proof is trivial" type shit with little context given.
This book was simply one of the best math textbooks I've ever come across. It was quite straightforward and easy to understand both in terms of explanations and, refreshingly, in the homework problems it posed. It similarly used several worked-out example problems that allowed the student to really grasp the quite novel concepts it was putting across.