A series of snapshots of the history of mathematics from ancient times to the twentieth century.

"One of the themes of the book is how to have a fulfilling professional life. In order to achieve this goal, Krantz discusses keeping a vigorous scholarly program going and finding new challenges, as well as dealing with the everyday tasks of research, teaching, and administration." "In short, this is a survival manual for the professional mathematician - both in academics and in industry and government agencies. It is a sequel to the author's A Mathematician's Survival Guide."--BOOK JACKET.

This multidisciplinary collection of essays provides a critical and comprehensive understanding of how knowledge has been made, moved and used, by whom and for what purpose. To explain how new knowledge emerges, this volume offers a two-fold conceptual move: challenging both the premise of insurmountable differences between confined, autarkic cultures and the linear, nation-centered approach to the spread of immutable stocks of knowledge. Rather, the conceptual focus of the book is on the circulation, amalgamation and reconfiguration of locally shaped bodies of knowledge on a broader, global scale. The authors emphasize that the histories of interaction have been made less transparent through the study of cultural representations thus distorting the view of how knowledge is actually produced. Leading scholars from a range of fields, including history, philosophy, social anthropology and comparative culture research, have contributed chapters which cover the period from the early modern age to the present day and investigate settings in Africa, Asia, and Europe. Their particular focus is on areas that have largely been neglected until now. In this work, readers from many disciplines will find new approaches to writing the global history of knowledge-making, especially historians, scholars of the history and philosophy of science, and those in culture studies.

Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology. Based on Mlodinow's extensive historical research; his studies alongside colleagues such as Richard Feynman and Kip Thorne; and interviews with leading physicists and mathematicians such as Murray Gell-Mann, Edward Witten, and Brian Greene, Euclid's Window is an extraordinary blend of rigorous, authoritative investigation and accessible, good-humored storytelling that makes a stunningly original argument asserting the primacy of geometry. For those who have looked through Euclid's Window, no space, no thing, and no time will ever be quite the same.

“One of the best critiques of current mathematics education I have ever seen.”—Keith Devlin, math columnist on NPR’s Morning Edition A brilliant research mathematician who has devoted his career to teaching kids reveals math to be creative and beautiful and rejects standard anxiety-producing teaching methods. Witty and accessible, Paul Lockhart’s controversial approach will provoke spirited debate among educators and parents alike and it will alter the way we think about math forever. Paul Lockhart, has taught mathematics at Brown University and UC Santa Cruz. Since 2000, he has dedicated himself to K-12 level students at St. Ann’s School in Brooklyn, New York.

An entertaining look at the origins of mathematical symbols While all of us regularly use basic math symbols such as those for plus, minus, and equals, few of us know that many of these symbols weren't available before the sixteenth century. What did mathematicians rely on for their work before then? And how did mathematical notations evolve into what we know today? In Enlightening Symbols, popular math writer Joseph Mazur explains the fascinating history behind the development of our mathematical notation system. He shows how symbols were used initially, how one symbol replaced another over time, and how written math was conveyed before and after symbols became widely adopted. Traversing mathematical history and the foundations of numerals in different cultures, Mazur looks at how historians have disagreed over the origins of the numerical system for the past two centuries. He follows the transfigurations of algebra from a rhetorical style to a symbolic one, demonstrating that most algebra before the sixteenth century was written in prose or in verse employing the written names of numerals. Mazur also investigates the subconscious and psychological effects that mathematical symbols have had on mathematical thought, moods, meaning, communication, and comprehension. He considers how these symbols influence us (through similarity, association, identity, resemblance, and repeated imagery), how they lead to new ideas by subconscious associations, how they make connections between experience and the unknown, and how they contribute to the communication of basic mathematics. From words to abbreviations to symbols, this book shows how math evolved to the familiar forms we use today.

Consisting of separate cases organized by chapter and divided into independent sections, this is no ordinary history of science book. Between the Earth and the Heavens is an episodic history of modern physical sciences covering the chronological development of physics, chemistry and astronomy since about 1860. Integrating historical authenticity and modern scientific knowledge, the cases within deal with the often surprising connections between science done in the laboratory (physics, chemistry) and science based on observation (astronomy, cosmology).Between the Earth and the Heavens presupposes an interest in and a certain knowledge of the physical sciences, but it is written for non-specialists and includes only a limited number of equations which are all clearly explained in simple terms. For readers who wish to delve further, the book is fully documented and ends with a bibliography of cited quotations and other relevant sources.