Mathematics
How playwrights from Alfred Jarry and Samuel Beckett to Tom Stoppard and Simon McBurney brought the power of abstract mathematics to the human stage
A meticulously researched history on the development of American mathematics in the three decades following World War I
An engrossing look at the history and importance of a centuries-old but still unanswered math problem
A lively and engaging look at logic puzzles and their role in mathematics, philosophy, and recreation
An entertaining mathematical exploration of the heat equation and its role in the triumphant development of the trans-Atlantic telegraph cable
Plato's Ghost is the first book to examine the development of mathematics from 1880 to 1920 as a modernist transformation similar to those in art, literature, and music. Jeremy Gray traces the growth of mathematical modernism from its...
An examination of the symbiotic and productive relationship between fully nonlinear partial differential equations and generalized potential theories
A definitive proof of global nonlinear stability of Minkowski space-time as a solution of the Einstein-Klein-Gordon equations
Real Analysis is the third volume in the Princeton 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...
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 Princeton 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...
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...
An authoritative, up-to-date graduate textbook on machine learning that highlights its historical context and societal impacts
An engaging introduction to data science that emphasizes critical thinking over statistical techniques
An introductory text on the analysis, control, and estimation of nonlinear systems, appropriate for advanced undergraduate and graduate students
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