The standard view of the economics profession is that Keynes was a brilliant, intuitive, nonrigorous innovator. These essays show that Keynes backed up his intuitions with a rigorous mathematical and logical supporting analysis, which has been overlooked.

This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work.

William Stanley Jevons occupies a pivotal position in the history of economic thought, spanning the transition from classical to neo-classical economics and playing a key role in the Marginal Revolution. The breadth of Jevons's work is examined here which: * includes a detailed consideration of a wide range of his work-policy, theoretical, methodological, applied and empirical * relies on textual exegis * takes account of a wide range of secondary sources A new approach to the 'Jevonian revolution' is adopted, which emphasizes the link between poverty and economics and focuses on the nature and meaning of rationality in Jevonian economics.

Mathematics was only one area of interest for Gerolamo Cardano ― the sixteenth-century astrologer, philosopher, and physician was also a prolific author and inveterate gambler. Gambling led Cardano to the study of probability, and he was the first writer to recognize that random events are governed by mathematical laws. Published posthumously in 1663, Cardano's Liber de ludo aleae (Book on Games of Chance) is often considered the major starting point of the study of mathematical probability. The Italian scholar formulated some of the field's basic ideas more than a century before the better-known correspondence of Pascal and Fermat. Although his book had no direct influence on other early thinkers about probability, it remains an important antecedent to later expressions of the science's tenets.

This book examines the origins of the IS-LM model, one of the most significant innovations in the history of economic thought. It shows that the complete IS-LM model, including the equations and diagram, was produced by a group of economists who contributed their respective mathematical models of Keynes’s General Theory, including Champernowne, Reddaway, Harrod, and Meade, not to mention Hicks. Furthermore, the book discusses the implications of newly discovered archival material, including a previously overlooked document showing that John Maynard Keynes himself was the first to present the IS-LM model equations in a lecture he gave on December 4, 1933. It focuses on the implications of this material in terms of understanding the evolution of Keynes’s approach from 1933 to 1937, later interpreters of his General Theory, and the ongoing debate between Keynesians and Post-Keynesians on the nature of his system. Given the revelations it presents, this book will transform the profession’s understanding of the origins of the IS-LM model and modern macroeconomics.