Bøker av Jonathan M. Borwein

This book offers an exploration of tools and mathematics and issues in mathematics education related to tool use, from pre-history to future directions in the field. It includes coverage of curriculum, assessment, and policy design.

Rather than being a 'how to' manual for making computations, this book places primary importance on the mathematics. It covers number theory, calculus of one and several variables, linear algebra, and visualization and interactive geometric computation.

An essential read for mathematicians, this volume looks beyond the syntax and semantics of Mathematica and other programs. It focuses on why they are necessary tools for anyone who engages in mathematics, as well as showing how to create better proofs.

Like differentiability, convexity is a natural and powerful property of functions that plays a significant role in many areas of mathematics, both pure and applied. It ties together notions from topology, algebra, geometry and analysis, and is an important tool in optimization, mathematical programming and game theory. This book, which is the product of a collaboration of over 15 years, is unique in that it focuses on convex functions themselves, rather than on convex analysis. The authors explore the various classes and their characteristics and applications, treating convex functions in both Euclidean and Banach spaces. The book can either be read sequentially for a graduate course, or dipped into by researchers and practitioners. Each chapter contains a variety of specific examples, and over 600 exercises are included, ranging in difficulty from early graduate to research level.

The authors of this text undertake a journey into the new and fascinating area of experimental mathematics. Using examples that require little technical background, the authors establish approaches and techniques that lead to an understanding of the experimental method.