05185nam 2200625Ia 450 991013933900332120200520144314.01-282-25340-997866138140501-118-03309-41-118-03024-9(CKB)2560000000060929(EBL)661624(OCoLC)705538690(SSID)ssj0000484971(PQKBManifestationID)11929819(PQKBTitleCode)TC0000484971(PQKBWorkID)10602916(PQKB)10124613(MiAaPQ)EBC661624(PPN)198592876(EXLCZ)99256000000006092920040930d2005 uy 0engur|n|---|||||txtccrThe history of mathematics a brief course /Roger Cooke2nd ed.Hoboken, N.J. Wiley-Intersciencec20051 online resource (630 p.)Description based upon print version of record.0-471-44459-6 Includes bibliographical references and indexes.The History of Mathematics: A Brief Course; Contents; Preface; Part 1. The World of Mathematics and the Mathematics of the World; Chapter 1. The Origin and Prehistory of Mathematics; 1. Numbers; 1.1. Animals' use of numbers; 1.2. Young children's use of numbers; 1.3. Archaeological evidence of counting; 2. Continuous magnitudes; 2.1. Perception of shape by animals; 2.2. Children's concepts of space; 2.3. Geometry in arts and crafts; 3. Symbols; 4. Mathematical inference; 4.1. Visual reasoning; 4.2. Chance and probability; Questions and problems; Chapter 2. Mathematical Cultures I1. The motives for creating mathematics1.1. Pure versus applied mathematics; 2. India; 2.1. The Sulva Sutras; 2.2. Buddhist and Jaina mathematics; 2.3. The Bakshali Manuscript; 2.4. The siddhantas; 2.5. Aryabhata I; 2.6. Brahmagupta; 2.7. Bhaskara II; 2.8. Muslim India; 2.9. Indian mathematics in the colonial period and after; 3. China; 3.1. Works and authors; 3.2. China's encounter with Western mathematics; 4. Ancient Egypt; 5. Mesopotamia; 6. The Maya; 6.1. The Dresden Codex; Questions and problems; Chapter 3. Mathematical Cultures II; 1. Greek and Roman mathematics; 1.1. Sources1.2. General features of Greek mathematics1.3. Works and authors; 2. Japan; 2.1. Chinese influence and calculating devices; 2.2. Japanese mathematicians and their works; 3. The Muslims; 3.1. Islamic science in general; 3.2. Some Muslim mathematicians and their works; 4. Europe; 4.1. Monasteries, schools, and universities; 4.2. The high Middle Ages; 4.3. Authors and works; 5. North America; 5.1. The United States and Canada before 1867; 5.2. The Canadian Federation and post Civil War United States; 5.3. Mexico; 6. Australia and New Zealand; 6.1. Colonial mathematics; 7. The modern era7.1. Educational institutions7.2. Mathematical societies; 7.3. Journals; Questions and problems; Chapter 4. Women Mathematicians; 1. Individual achievements and obstacles to achievement; 1.1. Obstacles to mathematical careers for women; 2. Ancient women mathematicians; 3. Modern European women; 3.1. Continental mathematicians; 3.2. Nineteenth-century British women; 3.3. Four modern pioneers; 4. American women; 5. The situation today; Questions and problems; Part 2. Numbers; Chapter 5. Counting; 1. Number words; 2. Bases for counting; 2.1. Decimal systems; 2.2. Nondecimal systems3. Counting around the world3.1. Egypt; 3.2. Mesopotamia; 3.3. India; 3.4. China; 3.5. Greece and Rome; 3.6. The Maya; 4. What was counted?; 4.1. Calendars; 4.2. Weeks; Questions and problems; Chapter 6. Calculation; 1. Egypt; 1.1. Multiplication and division; 1.2. ""Parts""; 1.3. Practical problems; 2. China; 2.1. Fractions and roots; 2.2. The Jiu Zhang Suanshu; 3. India; 4. Mesopotamia; 5. The ancient Greeks; 6. The Islamic world; 7. Europe; 8. The value of calculation; 9. Mechanical methods of computation; 9.1. Software: prosthaphaeresis and logarithms9.2. Hardware: slide rules and calculating machinesThis 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 siMathematicsHistoryMathematicsMathematicsHistory.Mathematics.510/.9Cooke Roger1942-731611MiAaPQMiAaPQMiAaPQBOOK9910139339003321The history of mathematics2126774UNINA