This book contains enrichment material for courses in first and second year calculus, differential equations, modeling, and introductory real analysis. It targets talented students who seek a deeper u
The quadratic formula for the solution of quadratic equations was discovered independently by scholars in many ancient cultures and is familiar to everyone. Less well known are formulas for solutions
With its hearty history and its many triumphs in the study of everything from the fundamentals of nature to DNA, differential geometry is not an ordinary branch of mathematics. Oprea (mathematics, Cle
Supplementary exercises and projects designed to facilitate students' understanding of the fundamental concepts in real analysis. They can be used to motivate a lecture; as a basis for in-class activi
For anyone confronting an introductory course in ordinary differential equations there is a need for a brief guide to the key concepts. This book is intended as that guide and the author has included
The Budapest semesters in mathematics aim to convey the tradition of Hungarian mathematics to English-speaking students. This book is an elaborate version of the course 'Conjecture and Proof'. Prerequ
This is a collection of intriguing mathematical problems and activities, linked by common themes that all involve objects from our everyday experience. The necessary mathematics is explained fully alo
This is a collection of pictures or diagrams that demonstrate why a particular mathematical statement may be true, and how one could begin to go about proving it. Teachers will find that many of the
Inverse problems are considerably more important, in mathematics and throughout science, than they might first appear. This book concentrates on inverse problems and how they can be usefully introduce
This book draws on geometric ideas from cultural activities from Subsaharan Africa, and demonstrates how they may be explored to develop mathematical reasoning from school level through to university
Learning By Discovery Contains 26 laboratory modules that can be used as lab components in your course, or assigned as independent projects. The labs are written without specific computer commands, so
Students see how calculus can explain the structure of a rainbow, guide a robot arm, or analyze the spread of AIDS. Each module starts with a concrete problem and moves on to provide a solution. The d
Rediscovering Mathematics is an eclectic collection of mathematical topics and puzzles aimed at talented youngsters and inquisitive adults who want to expand their view of mathematics. By focusing on
This book is for teachers who want to know how they can use the history of mathematics as a pedagogical tool to help their students construct their own knowledge of mathematics. It provides readers wi
This exciting series explores a range of everyday materials. Early readers will discover the properties and uses of each material through accessible text and eye-catching imagery that will bring this
This exciting series explores a range of everyday materials. Early readers will discover the properties and uses of each material through accessible text and eye-catching imagery that will bring this
"What happens when water gets cold? Read this book to learn all about water. Books in this series introduce children to the exciting world of materials. Each book uses simple, repetitive text to teach
