Reuben Hersh Book order (chronological)

Winner of the 1983 National Book Award, this work offers a delightful exploration of mathematics, showcasing what mathematicians do and who they are. With clear exposition infused with wit and humor, it reveals the essence of mathematics as a long-standing human endeavor. The authors argue that professional mathematicians can effectively communicate their work to non-professionals and emphasize the importance of teaching mathematics in a way that highlights its beauty and power. Feedback from readers of the first edition has led to this revised version, which includes exercises designed to enhance student understanding. This edition aims to engage a new generation of readers and students eager to grasp the essence of mathematics. It serves as an invaluable resource for general mathematics appreciation courses, blending aesthetic appreciation with practical applications. The text is particularly suitable for Liberal Arts students, prospective teachers in Capstone courses, and writing courses for mathematics educators. Additionally, customizable online course materials are available upon request, further enriching the learning experience.

Explores the foundations of mathematics, looking at the history and philosophy of the field, and includes biographical sketches of people who have made mathematics their life's work.

Most philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Hersh pulls the screen back to reveal mathematics as seen by professionals, debunking many mathematical myths, and demonstrating how the "humanist" idea of the nature of mathematics more closely resembles how mathematicians actually work. At the heart of his book is a fascinating historical account of the mainstream of philosophy--ranging from Pythagoras, Descartes, and Spinoza, to Bertrand Russell, David Hilbert, and Rudolph Carnap--followed by the mavericks who saw mathematics as a human artifact, including Aristotle, Locke, Hume, Mill, and Lakatos.What is Mathematics, Really? reflects an insider's view of mathematical life, and will be hotly debated by anyone with an interest in mathematics or the philosophy of science.

These provocative essays take a modern look at the seventeenth-century thinker's dream, examining the influences of mathematics on society, particularly in light of technological advances. They survey the conditions that elicit the application of mathematic principles; the applications' effectiveness; and how applied mathematics transform perceptions of reality. 1987 edition.

Discusses the impact that mathematics and computers have on our intellectual and emotional lives.