Patterns, transformations, and mathematical thinking
For readers who want to know why the relationship works. Follow mathematics into geometry, movement, fractals, and computation, with books and questions that connect a formal idea to an example you can inspect.
Patterns, transformations, and mathematical thinking
Dual-Quaternions and Computer Graphics is an indispensable resource for mathematicians, engineers, and computer scientists seeking a deeper understanding of this revolutionary mathematical tool.…
Open the bookDo The Maths / A question for today
For a mathematical relationship connected to the topic, identify the inputs, units, assumptions, and a simple case you can independently check.
Follow the question →Patterns, transformations, and mathematical thinking
A focused selection for Do The Maths.
Books
Dual-Quaternions and Computer Graphics is an indispensable resource for mathematicians, engineers, and computer scientists seeking a deeper…
Books
Inverse kinematics, the art of determining a structures configuration to accomplish a specific task, is an important and challenging topic. For…
Books
Fractals have fascinated mathematicians, scientists, and artists alike for centuries. These intricate, self-replicating structures appear in…
Books
In the ever-evolving world of web development, the desire for more engaging experiences is skyrocketing. As users crave content that's not just…
Books
One of the most challenging tasks in simulation systems is the generation and coordination of efficient and accurate kinematics and dynamic…
Physics Simulation
Contacts and Constraints dives deep into the mathematical and engineering principles behind stable, robust physics simulations. It explains how…
The Do The Maths view
Explore the mathematics behind graphics, motion, and computation.
Do The Maths / The reading view
If animation keeps catching your attention, “Inverse Kinematics Essentials” is a title to put on your radar. Its listed scope opens a worthwhile conversation about skeletal. Movement gives abstract relationships a visible consequence. Choose a small joint chain or trajectory and compare what you want to control with what you need to calculate. Bring a pencil, a small example, and the willingness to ask why a relationship works. Moving between symbols and visible behaviour can turn an abstract topic into something you want to investigate further. Worth exploring when you are ready for a fresh reading direction.Take a closer look
Do The Maths / The reading view
101 Fractal Projects: A Hands-On Journey Through 101 Fractal Programming Project Examples
Looking for a new direction in Pure Mathematics? “101 Fractal Projects: A Hands-On Journey Through 101 Fractal Programming Project Examples” makes a persuasive case for giving the subject your attention. Bring a specific question and turn the reading into a purposeful exploration. Fractals offer a compelling way to connect a compact rule with a complex image. Change one parameter, predict the visual effect, and let the result sharpen your questions about the underlying process. Bring a pencil, a small example, and the willingness to ask why a relationship works. Moving between symbols and visible behaviour can turn an abstract topic into something you want to investigate further. A promising addition to a reading list with a purpose.Take a closer look
Do The Maths / The reading view
Looking for a new direction in JavaScript? “WGSL Fundamentals: WebGPU Shader Language - Graphics and Compute Shaders for Interactive Graphics, Simulations, 2D/3D Meshes, Fractals, Procedural Generation and Animation Applications” makes a persuasive case for giving the subject your attention. Bring a specific question and turn the reading into a purposeful exploration. Fractals offer a compelling way to connect a compact rule with a complex image. Change one parameter, predict the visual effect, and let the result sharpen your questions about the underlying process. Bring a pencil, a small example, and the willingness to ask why a relationship works. Moving between symbols and visible behaviour can turn an abstract topic into something you want to investigate further. Pick a question. Open a book. See where it takes you.Take a closer look
Put the reading to work
Practical reading notes for patterns, transformations, and mathematical thinking.
Reading field note / 01
Move between symbols, examples, and meaning.
Read the guideReading field note / 02
A believable picture still needs a mathematical check.
Read the guideFrom the publications we follow
Fresh headlines selected around patterns, transformations, and mathematical thinking.
The Guardian · Science
The Guardian · Science
The Guardian · Science
The Guardian · Science
The mathematics shelf. Let a book choose your next direction.
Explore the mathematics behind graphics, motion, and computation.
Keep your next read →