Example of synthesis in mathematics

1. What is math synthesis?
2. What is the application of synthesis?
3. What is a synthesis and analysis?
4. What is mathematics in the modern world?

What is math synthesis?

From Encyclopedia of Mathematics. An aggregate of problems centered on the problem of constructing a control system with a prescribed way of functioning. A control system is usually made up of elements which are themselves simple control systems.

What is the application of synthesis?

Synthesis entails the act of creating something that did not exist before by integrating information that has been learned. In other words, when we put together a whole series of skills, we say we are synthesizing those skills. Synthesis is very similar to analysis.

What is a synthesis and analysis?

While analytical writing is about breaking something apart and looking at the pieces individually, synthesis is about putting ideas and information together to see an overall pattern how things come together.

What is mathematics in the modern world?

Mathematics is the science and study of quality, structure, space, and change. Mathematicians seek out patterns, formulate new conjectures, and establish truth by rigorous deduction from appropriately chosen axioms and definitions.