Mathematics

From two of °Õ±õ²Ñ·¡â€™s 100 Most Influential People in AI, what you need to know about AI—and how to defend yourself against bogus AI claims and products

An examination of some of the remarkable connections between group theory and arithmetic algebraic geometry over finite fields

A sweeping intellectual biography that restores the Enlightenment polymath to the intellectual, scientific, and courtly worlds that shaped his early life and thought

Nobel Prize–winning physicist Roger Penrose questions some of the most fashionable ideas in physics today, including string theory

The surprising history of education technology and its political, financial, and social impact on higher education and our world

An accessible guide to understanding statistics using simulations, with examples from a range of scientific disciplines

Real Analysis is the third volume in the 91ÌÒÉ« Lectures in Analysis, a series of four textbooks that aim to present, in an integrated manner, the core areas of analysis. Here the focus is on the development of measure and...

An authoritative, self-contained introduction to geometrical tensor calculus for scientists and engineers

With this second volume, we enter the intriguing world of complex analysis. From the first theorems on, the elegance and sweep of the results is evident. The starting point is the simple idea of extending a function initially given for...

This is the fourth and final volume in the 91ÌÒÉ« Lectures in Analysis, a series of textbooks that aim to present, in an integrated manner, the core areas of analysis. Beginning with the basic facts of functional analysis, this...

A treasure-trove of illuminating and entertaining quotations from beloved physicist Richard P. Feynman

This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple...

A hands-on lab guide in the R programming language that enables students in the life sciences to reason quantitatively about living systems across scales

A hands-on lab guide in the Python programming language that enables students in the life sciences to reason quantitatively about living systems across scales

An engaging introduction to data science that emphasizes critical thinking over statistical techniques

A hands-on lab guide in the MATLAB programming language that enables students in the life sciences to reason quantitatively about living systems across scales