Whether you are in school or simply want to understand geometry better, it is important that you know where you can get the information you want on geometry. A book is still the best way to get this knowledge. While there are many books out there on the subject, these are the top math books on geometry.
1. Geometry Revealed: A Jacob’s Ladder to Modern Higher Geometry
This book is designed for people who have a basic understanding of geometry but want to take it to the next level. This book will discuss both classical geometry as well as differential geometry. It will look at many of the modern problems that have been left unsolved and will help people to gain the knowledge they need to succeed in higher geometry courses.
2. Riemannian Geometry
This book is designed for graduate students studying math and physics. It takes a deep look at Riemannian geometry. The book is smooth and an easy read for someone with the right level of knowledge on the subject matter to begin with.
3. Geometry of Cuts and Metrics (Algorithms and Combinatorics)
With this book you will not only get a better understanding of geometry but you will also learn about other aspects of math that relate to this field including graph theory. This will help you to understand integer programming as well as combinatorial optimization.
4. Geometry, Topology and Physics, Second Edition
Just as the name suggests you will learn about geometry, physics and topology while reading this book. The thing to keep in mind here is that these studies are related in a number of ways and this book delves into the similarities and the ways these studies need each other.
5. Introduction to Differential Geometry for Engineers
If you are an engineer that needs to have a better understanding of geometry, then this is the book for you. It will help give you the tools you need for your diverse applications of engineering. This book will also give you a better understanding of the Lie Theory of Differential Equations.
6. An Introduction to Differential Geometry with Applications to Elasticity
The purpose of this book is to look at how elasticity theory relates to differential geometry. The nice thing about this book is that the author does not have an assumption of knowledge on the readers behalf. This means you do not need to have an understanding of differential geometry or elasticity theory to gain knowledge from this book.
7. Elementary Differential Geometry, Revised Second Edition
This book is designed to give people an introduction to the topic of differential geometry. The revised version is designed to give people an updated list of commands for symbolic computation. This will help you to not only understand how differential geometry works but also how to use it in various applications.
8. Foundations of Projective Geometry
When you read this book you will understand the way that projective geometry works. This book not only introduces the study but also goes into the different approaches used for projective geometry. The thing to keep in mind with this book is that while it can provide useful information for anyone needing to understand differential geometry, it is best understood by math majors, Those who study geometry for graphics purposes may have a hard time putting this book to practical use.
9. Information Geometry: Near Randomness and Near Independence
This books is perfect for anyone who studies geometry. However, those who study statistics will find this geometry book to be even more helpful. It will look at the application of information geometry for many applications including “amino acid sequence spacing in protein chains.” By looking at these different situations people will be able to see the use for this study in almost all industries and aspects of life.
10. Geometry: A Metric Approach with Models
This is the perfect book if you need to get a real understanding of the difference between Euclidean and Non Euclidean geometry. However, this book also focuses on other aspects of geometry including informational geometry. There are plenty of pictures to help give a better understanding of these theories and practices. There are also exercises where you can test out your knowledge to help you understand this even better.