Elementary Mathematics from an Advanced Standpoint - Arithmetic - Algebra - Analysis

by Felix Klein

First published in 1932, "Elementary Mathematics from an Advanced Standpoint" explores some of the most complicated aspects of fundamental mathematics. One of the finest mathematical minds of his day, Professor Klein attempts to reduce "the gap between the school and the university" in this book, covering such subjects as complex numbers, real equations, special properties of integers, the first extension of the notion of number, and logarithmic and exponential functions. This volume constitutes essential reading for maths instructors and students planning to become maths instructors, and it would make for a worthy addition to collections of related literature. Contains three "Arithmetic", "Algebra", and "Analysis". Many vintage books such as this are becoming increasingly scarce and expensive. It is with this in mind that we are republishing this volume now in a modern, high-quality edition complete with the original text and artwork.

Genres: Mathematics, Algebra

292 pages, Hardcover

First published January 1, 1924

Reviews

[Erickson · Rating 5 out of 5]

Very good book, advanced explanations for many things either taken for granted or new perspectives to look at things. Interesting things like impossibility to inscribe heptagon using compass and straightedge, transcendence of e and pi, etc are included with proofs, highly accessible with the presentation style.

Though in my case some topics are not quite understood e.g. Riemann surfaces due to lack of training, nonetheless the book is highly insightful. Recommended for advanced readers or those interested in advanced mathematics.