Название: Geometry for Programmers (Final Release)
Автор: Oleksandr Kaleniuk
Издательство: Manning Publications
Год: 2023
Страниц: 449
Язык: английский
Формат: pdf (true)
Размер: 29.0 MB

Master the math behind CAD, game engines, GIS, and more! This hands-on book teaches you the geometry used to create simulations, 3D prints, and other models of the physical world.

In Geometry for Programmers you will learn how to:

Speak the language of applied geometry Compose geometric transformations economically Craft custom splines for efficient curves and surface generation Pick and implement the right geometric transformations Confidently use important algorithms that operate on triangle meshes, distance functions, and voxels

Geometry for Programmers guides you through the math behind graphics and modeling tools. It’s full of practical examples and clear explanations that make sense even if you don’t have a background in advanced math. You’ll learn how basic geometry can help you avoid code layering and repetition, and even how to drive down cloud hosting costs with more efficient runtimes. Cheerful language, charts, illustrations, equations, and Python code help make geometry instantly relevant to your daily work as a developer.

To make the book applicable, I gathered a list of practical examples from my own practice and from popular interview questions. Although I write mostly in C++ professionally, I present the source-code samples in Python solely for ease of trying them. To make the book approachable, I delegated all the tedious math work to SymPy, a Python library that does your algebra and calculus for you. I also introduced some algebra and calculus in the book, but briefly. You don’t have to spend months in training to become good at moving xs and ys around; SymPy, which you can learn in 15 minutes, will take care of that.

To make the book concise, or to let myself be brief with the explanations, I gathered a list of interactive tutorials online and placed references to them all over the book. Now if you find my version of the explanation for something too brief, you can usually find a more detailed version in a nearby reference. Don’t get me wrong: I believe in brief explanations, but I believe in interactive experiences more. So the book you’re looking at is the product of several major design decisions, some of which may appear to be controversial. A hardcore mathematician, for example, might object to using SymPy instead of pen and paper, because that would be “cheating.” A hardcore programmer, on the other hand, might object to using Python as a language of examples because mathematical code belongs to Fortran and C++. I recognize these objections as being well justified. The goal of this book, however, is not to be a flawless piece of art, but to help you to get good at geometry.

About the Technology:
Geometry is at the heart of game engines, robotics, computer-aided design, GIS, and image processing. This book draws back what is for some a mathematical curtain, giving them insight and control over this central tool. You’ll quickly see how a little geometry can help you design realistic simulations, translate the physical world into code, and even reduce your cloud services bill by improving the efficiency of graphics-intensive applications.

About the Book:
Geometry for Programmersis both practical and entertaining. Fun illustrations and engaging examples show you how to apply geometry to real programming problems, like changing a scan into a CAD model or developing 3D printing contours from a parametric function. And don’t worry if you aren’t a math expert. There’s no heavy theory, and you’ll learn how to offload most equations to the SymPy computer algebra system.

What’s Inside:
Speak the language of applied geometry Compose geometric transformations economically Craft custom splines for efficient curves and surface generation Confidently use geometry algorithms

About the Reader:
Examples are in Python, and all you need is high school–level math.