This week, our Resource List of the Week focuses on Mathematics.
What is Mathematics?
According to the Live Science (2013), Mathematics is
“…the science that deals with the logic of shape, quantity and arrangement. ”
Here below, we have put together five titles to help you better understand the subject.
1. The History of Mathematics – Roger L Cooke
Firstly, this book examines the elementary arithmetic, geometry, and algebra of numerous cultures. Secondly, it concentrates on these disciplines usage in Mesopotamia, Egypt, Greece, India, China, and Japan during the Medieval and Renaissance periods. Thirdly, it focuses on the places where the major advances in mathematics took place. Finally, it examines the types of mathematics which people currently adopt.
2. An Introduction to the Philosophy of Mathematics – Mark Colyvan
The title is perfect for any undergraduate course which focuses on the philosophy of mathematics. Indeed, firstly this book covers the realism/anti-realism debate in maths and the limits of mathematics. Secondly, it concentrates on the significance of mathematical notation. Finally, it focuses ontopics such as inconsistent mathematics and the applications of maths.
3. How to Think Like a Mathematician – Kevin Houston
Firstly, this title provides explanations for a multitude of definitions, theorems, and mathematical problems. Secondly, it gives a clear direction on how to write maths effectively by offering supporting examples. Finally, it covers topics like divisors, Euclidean algorithms, modular arithmetic, equivalence relations, injectivity and surjectivity of functions.
4. Mathematical Techniques – Dominic Jordan and Peter Smith
This title provides a complete overview of techniques involved in maths, covering all the essential topics relating to physical sciences or engineering. It breaks down each subject into modular chapters and introduces concepts in a progressive, carefully-layered way – always with an emphasis on how to effectively utilise mathematics.
5. Mathematical Problem Solving – Alan H Schoenfeld
This book is most suited for people with research interests in mathematical thinking at any level. The focal point of this book is a framework for the analysis of complex problem-solving behaviours. This framework describes four qualitatively different aspects, complex intellectual activity, cognitive resources, heuristics, belief systems. The second part of this books presents a series of empirical studies that explore the analytical framework. These studies document the ways that competent problem solvers make the most of the knowledge at their disposal.
KeyLinks, Kortext and the DCS can all be used together to create an intuitive learning environment.
Finally, check out the related infographic.