Books I had to read to develop a game engine

If you have decided to develop your game engine, you may be wondering where to start, what books to start reading, etc. If you are in this situation, I recommend getting a copy of the following books found ​​here​​. Out of all the books I've read, they are the best of the best, so I strongly recommend them.

Now, if you want a comprehensive list, the list below should help you.

Books to develop the Math Engine

1. 1. 
      
2. ​​Mathematics for 3D Game Programming and Computer Graphics​​
3. ​​Quaternions and Rotation Sequences: A Primer with Applications to Orbits, Aerospace and Virtual Reality​​
4. ​​Quaternions for Computer Graphics​​
5. ​​3D Math Primer For Graphics and Game Development​​
6. ​​Practical Linear Algebra: A Geometry Toolbox​​
7. ​​Visualizing Quaternions​​
8. ​​Curves and Surfaces for Computer Graphics​​
9. ​​Essential Mathematics for Games and Interactive Applications: A Programmer's Guide​​
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Books to develop the Rendering Engine

1. 1. 
      
2. ​​OpenGL 4.0 Shading Language Cookbook​​
3. ​​OpenGL Insights​​
4. ​​Real-Time Rendering, Third Edition​​
5. ​​OpenGL Shading Language​​
6. ​​Foundations of 3D Computer Graphics​​
7. ​​Texturing and Modeling, Second Edition: A Procedural Approach​​
8. ​​OpenGL Superbible: Comprehensive Tutorial and Reference​​
9. ​​Graphics Shaders: Theory and Practice, Second Edition​​
10. ​​Graphics Programming Methods​​
11. ​​Real-Time Shadows​​
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Books to develop the Physics Engine

1. 1. 
      
2. ​​Physics for Game Developers: Science, math, and code for realistic effects​​
3. ​​Numerical Methods for Scientists and Engineers​​
4. ​​A Student's Guide to Vectors and Tensors​​
5. ​​Real-Time Collision Detection​​
6. ​​Game Physics Engine Development: How to Build a Robust Commercial-Grade Physics Engine for your Game​​
7. ​​Computational Geometry: Algorithms and Applications​​
8. ​​Game Physics Pearls​​
9. ​​Geometry for Computer Graphics: Formulae, Examples and Proofs​​
10. ​​Geometric Tools for Computer Graphics​​
11. ​​Computational Geometry in C​​
12. ​​Collision Detection in Interactive 3D Environments​​
13. ​​Game Physics​​
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Learning 3D Modeling tools (Blender)

If you are wondering why you need to learn Blender, read the following ​​article​​.

1. 1. 
      
2. ​​Blender Master Class: A Hands-On Guide to Modeling, Sculpting, Materials, and Rendering​​
3. ​​Blender Foundations: The Essential Guide to Learning Blender 2.6​​
4. ​​Learning Blender: A Hands-On Guide to Creating 3D Animated Characters​​
5. ​​Python 3 Object Oriented Programming​​- Blender provides an API which allows you to extract 3D modeling information. To use the API, you need to know a bit of Python.
6. ​​Digital Modeling​​
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Game Engine Architecture

1. 1. 
      
2. ​​Head First Design Patterns​​
3. ​​Game Programming Gems​​
4. ​​Best of Game Programming Gems​​
5. ​​3D Game Engine Architecture​​
6. ​​3D Game Engine Design: A Practical Approach​​
7. ​​C++ Common Knowledge: Essential Intermediate Programming​​
8. ​​C++ Pointers and Dynamic Memory Management​​
9. ​​Effective C++: 55 Specific Ways to Improve Your Programs and Designs​​
10. ​​C++ Templates: The Complete Guide​​
11. ​​Design Patterns: Elements of Reusable Object-Oriented Software​​
12. ​​The C++ Standard Library: A Tutorial and Reference​​
13. ​​Thinking in C++, Vol. 1: Introduction to Standard C++, 2nd Edition​​
14. ​​Thinking in C++, Volume 2: Practical Programming​​
15. ​​Game Programming Algorithms and Techniques​​
16. ​​API Design for C++​​
17. ​​Game Programming Patterns​​
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Books to get started

You don't have to buy all these books at once. If you are starting out, then get the following books:

3D Math

1. ​​3D Math Primer For Graphics and Game Development​​

Rendering Engine

1. 1. 
      
2. ​​OpenGL Superbible: Comprehensive Tutorial and Reference​​
3. ​​Graphics Shaders: Theory and Practice, Second Edition​​
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Physics Engine

1. 1. 
      
2. ​​Physics for Game Developers: Science, math, and code for realistic effects​​
3. ​​Game Physics Engine Development: How to Build a Robust Commercial-Grade Physics Engine for your Game​​
4. ​​Real-Time Collision Detection​​
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Those books should get you started.

Hope it helps.