5 Classic Math Books worth reading

There are a lot of people who let me recommend some excellent math books to layman's friends, some of whom are not advanced courses in college, only those who are interested in learning maths, and some are more interested in historical figures than on mathematical achievements. Ironically, when you were a math student at the University of Waterloo, you had a chance to have a course on math history by the year four, explaining to you some of the attitudes and philosophies behind mathematics, not just theorems and proofs.

These 5 books are my recommendation to friends who want to learn about mathematical ideas and principles.

1. A History of Mathematics | A History of mathematics Carl B. Boyer

This is the textbook of the history of mathematics that I have taken about 10 years ago, and this book is still the best and most in-depth discussion of one of the last thousands of years of mathematical development. It begins with Egyptian and former classical mathematics, explaining how a simple task is complicated by the lack of mathematical tools, and the development of various tools over time allows us to understand quantum theory. This book is very thick, more than 700 pages of content (note: Chinese hardcover 1108 pages), but non-technical readers can also be completely accessible to read.

The book is well worth any library collection, it can be read separately, each chapter covers a different aspect of the history of mathematics.

2. Journeys Through Genius | The course of genius guidance: The Great theorem of mathematics, William Dunham

I chose this book in a secondhand shop many years ago, just because it caught my attention and the price was good. I thought it would be interesting to read, but I never thought I'd be surprised and excited about the content until I started reading it carefully. The book takes some of the most important and changing theorems in mathematics and interprets them in a concise and receptive way.

In a fun and enjoyable way, the historical artifacts of the evolution of the theorem are displayed, preserving the importance of discovery in the context. Moreover, it is more important that, beyond the interpretation of the theorem, these are brought into the text of the people behind the work of the known, and the lives and their various work. If you want to learn more about the greatest theorems in mathematics, this book is well read and deserves your own.

3. The Mathematical Experience | J.davis, Reuben Hersh, author of the Mathematics Experience

My professor of mathematics history lent me a copy of his book, which is perhaps the most eye-opening reading I have ever read. I spent the entire weekend reading the book, from beginning to end, then reading it again, devouring and absorbing all the ideas and ideas.

From the discussion of what it means to be a mathematician, and from the perspective of the experience shared by mathematicians all over the world, this is undoubtedly the best book in my library. From philosophy to the social and emotional experience of mathematicians, this book covers all areas of mathematics. This book is very good, concise and touches my heartstrings. In this book, I really feel that I am reading a person who already knows what it is to love maths and is excited by mathematics, without delving into the original derivation process. If there is a book in this whole list that I recommend to buy immediately, it must be this one. Go get it!

4. Proofs from the book | The proof of the mathematical heavenly book Martin Aigner, Günter M. Ziegler

Paul Erdös, a prolific mathematician of the 20th century, usually touches upon his beautiful proof, as he obtains from the Book of God Himself.

This book is a collection of proofs that many mathematicians deem necessary and important, but also elegant and beautiful.

If you want a book that is easy to read, but can be used to explore the theorem in a primitive and rigorous way, the book must suit you. It covers a very broad field, some of the best proofs.

5. Proofs and Refutations | Proof and rebuttal-the logic of mathematical discovery Imre Lakatos

This book may be the highest-end book introduced in this article. It was well-written in the form of discussions between professors and students. Lakatos The mathematical process together, including how mathematics is really done and how theorems are applied to a wide variety of easy-to-understand technologies.

If you, or anyone you know, really think about transferring to math, I would recommend him to read the book. This includes teachers in particular, as he explains how to use technical and philosophical ideas to help you fully understand and creatively apply your newly learned tools to make you move forward. This is really a wonderful book that can be read very quickly.

5 Classic Math Books worth reading