Mathematics education is a mess. In primary education the development in arithmetic, geometry and other math topics is greatly hindered.

Mathematicians are trained for abstraction while education is an empirical issue. When mathematicians meet in class with real live pupils then they solve their cognitive dissonance by holding on to tradition. But tradition and its study materials have not been designed for empirical didactics. Pupils suffer the consequences.

The West reads from left to right...

Gerd Gigerenzer's Reckoning with Risk: Learning to Live with Uncertainty illustrates how we can learn to make sense of statistics and turn ignorance into insight. However much we want certainty in our lives, it feels as if we live in an uncertain and dangerous world. But are we guilty of wildly exaggerating the chances of some unwanted event happening to us? Are we misled by our ignorance of the reality of risk? Far too many of us, argues Gerd Gigerenzer, are hampered by our own innumeracy, w...

Offering the most geometric presentation available, Linear Algebra with Applications, Fifth Edition emphasizes linear transformations as a unifying theme. This elegant textbook combines a user-friendly presentation with straightforward, lucid language to clarify and organize the techniques and applications of linear algebra. Exercises and examples make up the heart of the text, with abstract exposition kept to a minimum.

Exercise sets are broad and varied and reflect the author's creativity a...

This third edition of a popular, well-received text offers undergraduates an opportunity to obtain an overview of the historical roots and the evolution of several areas of mathematics. The selection of topics conveys not only their role in this historical development of mathematics but also their value as bases for understanding the changing nature of mathematics.

Engineering Mathematics with Examples and Applications provides a compact and concise primer in the field, starting with the foundations, and then gradually developing to the advanced level of mathematics that is necessary for all engineering disciplines. Therefore, this book's aim is to help undergraduates rapidly develop the fundamental knowledge of engineering mathematics. The book can also be used by graduates to review and refresh their mathematical skills.

Step-by-step worked examples w...

Financial Risk Forecasting is a complete introduction to practical quantitative risk management, with a focus on market risk. Derived from the authors teaching notes and years spent training practitioners in risk management techniques, it brings together the three key disciplines of finance, statistics and modeling (programming), to provide a thorough grounding in risk management techniques. Written by renowned risk expert Jon Danielsson, the book begins with an introduction to financial mark...

The trusted resource you need to meet the challenges of teaching Calculus.

The trusted author team behind this textbook have understood the challenges instructors face in a Calculus course and have crafted a resource that gives you the tools to meet them. This text helps students learn calculus conceptually, while also emphasizing computational and problem-solving skills with a wide array of problems including engaging challenge problems and applied exercises that model the physical sciences,...

Proofs play a central role in advanced mathematics and theoretical computer science, yet many students struggle the first time they take a course in which proofs play a significant role. This bestselling text's third edition helps students transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. Featuring over 150 new exercises and a new chapter on number theory, this new edition introduces students to the world of advanced mathemat...