American Engineering Mathematics Textbook 20 15 The most popular textbook is Calculus by james stewart. This book is widely used and has a long history. By the fifth edition, the price had soared to 156 USD. At one time, students marched in Southern California to protest against the book's publication in the fifth edition, which promoted 27 yuan. Then, even Pre-Calculus was written by Stuart.

This book is very thick, thousands of pages, including all the contents of Tongji edition. From the initial limit, derivative, integral and infinite series, to multiple integrals and ordinary calculus. Especially for some partial branches, such as physical application and spherical coordinate application, it is difficult to find complex integrals. In addition, the theoretical definition of limit has been diluted, mainly focusing on application. But it is very detailed and there are examples. This calculus book is not difficult. The advantage of popularization is that if you want to download this book, you only need to search online, and there are many resources.

The other book is partly theoretical. California Institute of Technology and Massachusetts Institute of Technology proudly claim to use this book, Apostol's Calculus and Linear Algebra, which combines calculus and linear algebra. Although they have something in common, it is much more difficult to arrange them because linear algebra is abstract. The first chapter is to prove the real number space, then prove several axioms, then talk about integration and its application, then continuous equation and derivative, then complex space, differential equation, vector space and linear space. This shows that people are constantly being led to theory. The advantage is that there are not so many complicated application contents, and you don't have to remember a bunch of various formulas. This book is not used much, mainly some top science and engineering schools and some honorary courses. Speaking of this book, it is depressing that it is divided into two volumes, one is $ 125 and the other is $250. It's too expensive.

After studying calculus, you should study linear algebra. The most famous linear algebra is used by MIT: Introduction to Linear Algebra, the third edition is 80 yuan, which is cheap and enough. From the catalogue, typical linear algebra. This linear algebra is not divided into arts and sciences, and everyone's content is the same. Linear algebra at the undergraduate level can't be more difficult. However, I suggest you read the contents at the back of the textbook carefully. This book is easy to download, because it is very popular, so it is everywhere.

Another book is called Elementary Linear Algebra, written by Howard Anton and Chris Roriz, and the price is quite expensive, 1 16 dollars. In terms of popularity, it's actually a little unknown, but I like it because it's simple. Because it is simple, it is clear. This book is the standard textbook of American universities, but it has a bad reputation. Maybe it's because of the confusion in this course.