The Oxford Handbook Of The History Of Mathematics

This Handbook explores the history of mathematics under a series of themes which raise new questions about what mathematics has been and what it has meant to practise it. It addresses questions of who creates mathematics, who uses it, and how. A broader understanding of mathematical practitioners naturally leads to a new appreciation of what counts as a historical source. Material and oral evidence is drawn upon as well as an unusual array of textual sources. Further, the ways in which people have chosen to express themselves are as historically meaningful as the contents of the mathematics they have produced. Mathematics is not a fixed and unchanging entity. New questions, contexts, and applications all influence what counts as productive ways of thinking. Because the history of mathematics should interact constructively with other ways of studying the past, the contributors to this book come from a diverse range of intellectual backgrounds in anthropology, archaeology, art history, philosophy, and literature, as well as history of mathematics more traditionally understood. The thirty-six self-contained, multifaceted chapters, each written by a specialist, are arranged under three main headings: 'Geographies and Cultures', 'Peoples and Practices', and 'Interactions and Interpretations'. Together they deal with the mathematics of 5000 years, but without privileging the past three centuries, and an impressive range of periods and places with many points of cross-reference between chapters. The key mathematical cultures of North America, Europe, the Middle East, India, and China are all represented here as well as areas which are not often treated in mainstream history of mathematics, such as Russia, the Balkans, Vietnam, and South America. A vital reference for graduates and researchers in mathematics, historians of science, and general historians.

This handbook explores the history of mathematics, addressing what mathematics has been and what it has meant to practise it. 36 self-contained chapters provide a fascinating overview of 5000 years of mathematics and its key cultures for academics in mathematics, historians of science, and general historians.

In three sections, the Oxford Handbook of the History of Medicine celebrates the richness and variety of medical history around the world. It explore medical developments and trends in writing history according to period, place, and theme.

Mathematics is a fundamental human activity that can be practised and understood in a multitude of ways; indeed, mathematical ideas themselves are far from being fixed, but are adapted and changed by their passage across periods and cultures. In this Very Short Introduction, Jacqueline Stedall explores the rich historical and cultural diversity of mathematical endeavour from the distant past to the present day. Arranged thematically, to exemplify the varied contexts in which people have learned, used, and handed on mathematics, she also includes illustrative case studies drawn from a range of times and places, including early imperial China, the medieval Islamic world, and nineteenth-century Britain. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

"The Oxford Handbook of the Historical Books of the Hebrew Bible offers 36 essays on the so-called "Historical Books": Joshua, Judges, 1-2 Samuel, 1-2 Kings, Ezra-Nehemiah, and 1-2 Chronicles. The essays are organized around four nodes: contexts, content, approaches, and reception. Each essay takes up two questions: (1) what does the topic/area/issue have to do with the Historical Books?" and (2) how does this topic/area/issue help readers better interpret the Historical Books?" The essays engage traditional theories and newer updates to the same, and also engage the textual traditions themselves which are what give rise to compositional analyses. Many essays model approaches that move in entirely different ways altogether, however, whether those are by attending to synchronic, literary, theoretical, or reception aspects of the texts at hand. The contributions range from text-critical issues to ancient historiography, state formation and development, ancient Near Eastern contexts, society and economy, political theory, violence studies, orality, feminism, postcolonialism, and trauma theory-among others. Taken together, these essays well represent the variety of options available when it comes to gathering, assessing, and interpreting these particular biblical books"--

Most historians rely principally on written sources. Yet there are other traces of the past available to historians: the material things that people have chosen, made, and used. This book examines how material culture can enhance historians' understanding of the past, both worldwide and across time. The successful use of material culture in history depends on treating material things of many kinds not as illustrations, but as primary evidence. Each kind of material thing-and there are many-requires the application of interpretive skills appropriate to it. These skills overlap with those acquired by scholars in disciplines that may abut history but are often relatively unfamiliar to historians, including anthropology, archaeology, and art history. Creative historians can adapt and apply the same skills they honed while studying more traditional text-based documents even as they borrow methods from these fields. They can think through familiar historical problems in new ways. They can also deploy material culture to discover the pasts of constituencies who have left few or no traces in written records. The authors of this volume contribute case studies arranged thematically in six sections that respectively address the relationship of history and material culture to cognition, technology, the symbolic, social distinction, and memory. They range across time and space, from Paleolithic to Punk.

Presents a history of physics, examining the theories and experimental practices of the science.

Generality is a key value in scientific discourses and practices. Throughout history, it has received a variety of meanings and of uses. This collection of original essays aims to inquire into this diversity. Through case studies taken from the history of mathematics, physics and the life sciences, the book provides evidence of different ways of understanding the general in various contexts. It aims at showing how collectives have valued generality and how they have worked with specific types of "general" entities, procedures, and arguments. The books connects history and philosophy of mathematics and the sciences at the intersection of two of the most fruitful contemporary lines of research: historical epistemology, in which values (e.g. "objectivity", "accuracy") are studied from a historical viewpoint; and the philosophy of scientific practice, in which conceptual developments are seen as embedded in networks of social, instrumental, and textual practices. Each chapter provides a self-contained case-study, with a clear exposition of the scientific content at stake. The collection covers a wide range of scientific domains - with an emphasis on mathematics - and historical periods. It thus allows a comparative perspective which suggests a non-linear pattern for a history of generality. The introductory chapter spells out the key issues and points to the connections between the chapters.

This new edition brings the fascinating and intriguing history of mathematics to life The Second Edition of this internationally acclaimed text has been thoroughly revised, updated, and reorganized to give readers a fresh perspective on the evolution of mathematics. Written by one of the world's leading experts on the history of mathematics, the book details the key historical developments in the field, providing an understanding and appreciation of how mathematics influences today's science, art, music, literature, and society. In the first edition, each chapter was devoted to a single culture. This Second Edition is organized by subject matter: a general survey of mathematics in many cultures, arithmetic, geometry, algebra, analysis, and mathematical inference. This new organization enables students to focus on one complete topic and, at the same time, compare how different cultures approached each topic. Many new photographs and diagrams have been added to this edition to enhance the presentation. The text is divided into seven parts: The World of Mathematics and the Mathematics of the World, including the origin and prehistory of mathematics, cultural surveys, and women mathematicians Numbers, including counting, calculation, ancient number theory, and numbers and number theory in modern mathematics Color Plates, illustrating the impact of mathematics on civilizations from Egypt to Japan to Mexico to modern Europe Space, including measurement, Euclidean geometry, post-Euclidean geometry, and modern geometrics Algebra, including problems leading to algebra, equations and methods, and modern algebra Analysis, including the calculus, real, and complex analysis Mathematical Inference, including probability and statistics, and logic and set theory As readers progress through the text, they learn about the evolution of each topic, how different cultures devised their own solutions, and how these solutions enabled the cultures to develop and progress. In addition, readers will meet some of the greatest mathematicians of the ages, who helped lay the groundwork for today's science and technology. The book's lively approach makes it appropriate for anyone interested in learning how the field of mathematics came to be what it is today. It can also serve as a textbook for undergraduate or graduate-level courses. An Instructor's Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley editorial department.

The mathematical tradition at Oxford is one of the oldest in Britain, and Oxford scholars have been at the forefront of mathematical research for the past eight centuries. This is the story of the intellectual and social life of this community, and of its interactions with the wider world.