Introduction to Linear Algebra and Differential Equations (Dover Books on Mathematics) by John W. Dettman (PDF)

Description

Excellent introductory text focuses on complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions, more. Includes 48 black-and-white illustrations. Exercises with solutions. Index.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Dover books are good hard reads. They’re like jumping into the deep end and feeling yourself go under a few times, but you learn to swim to the end. You’ll get some sort of satisfaction if you work through it. Perhaps read it, ponder it, read it again and go through the questions.

⭐The first half of this book is good. Although Dettman does occasionally skip nonobvious steps, he does a good job of introducing the reader to complex numbers, matrices, and linear algebra. The second half, though, concerning differential equations is awful. I originally got this book to teach myself these two subjects over the summer and shortly into Chapter 5 I had to give it up and switch material; the explanation is murky and the presentation confusing: it only really makes sense after you go somewhere else and learn differential equations, then come back and look at it again.If you want to learn linear algebra, you can’t go wrong with this book, although there are better choices out there. If you want to learn differential equations, this is not the book for you.

⭐Well written. 3 books in one (intro to complex variables (CV), linear algebra (LA), and diffEQ (DEQ)). What this light book covers in about 280 pages is equivalent to current large and heavy books on LA and DEQ. Good for review or preparation.

⭐No matrix exponential. No diagonalization. Should’ve called the book LA and DE’s but I forgot to show the subjects are related. Not entirely of course but I was disappointed.

⭐I am a physicist, and as a sophomore in college I was warned by the juniors: “Learn linear algebra!!!! They hardly teach any of it in the required math classes, and you’ll die in quantum without it!!!” So I studied this book. Even without doing many of the problems I got a clear grasp of what a vector space is, why it is more than mere formalism, what a linear transformation is, the significance of bases, diagonalization, and how to work with matrices and really understand them. All of this was indispensable in studying quantum mechanics.Of course, solving the problems will only help your understanding. I HIGHLY recommend this for any physics student who had a bad (or non-existent) linear algebra class.

⭐The dealer wants to dump old book. The book is very old as the color of the papers are in pale yellow color. The worst thing is the first and the last pages are having fungus. I am scared to read the book.

⭐Un buon libro ad un prezzo davvero irrisorio!Dà per scontati molti concetti sia di algebra lineare che di analisi, ma lo ritengo utile per avere una visione d insieme.

⭐

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