History of Mathematics - Brossura

Smith, D. E.

Brossura

ISBN 10: 0486204308 ISBN 13: 9780486204307

Casa editrice: Dover Pubns, 1958

Riassunto

Within this two-volume edition, Professor Smith covers the entire history of mathematics in the Near and Far East and the West, from primitive number concepts to the calculus. His account is distinguished by impeccable scholarship combined with unusual clarity and readability. Footnotes add many technical points outside the book's actual line of development and direct the reader to disputed matters and source readings. Hundreds of illustrations from Egyptian papyri, Hindu, Chinese, and Japanese manuscripts, Greek and Roman texts, Medieval treatises, maps, portraits, etc. are used along with modern graphs and diagrams.
Every major figure from Euclid to Descartes, Gauss, and Riemann and hundreds of lesser-known figures &; Theon of Smyrna, Rabbi ben Ezra, Radulph of Laon, Mersenns, Benedetti, and more &; are considered both with respect to specific problems and with an awareness of their overall influence on mathematics.

Volume II: Special Topics, considering mathematics in terms of arithmetic geometry, algebra, trig, calculus, calculating machines, and other specific fields and problems. 192 Topics for Discussion. 195 illustrations. Index.

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Contenuti

CHAPTER I. DEVELOPMENT OF THE ARITHMETICA 1. GENERAL SURVEY 2. THE SEVEN LIBERAL ARTS 3. EARLY WRITERS ON NUMBER THEORY 4. NAMES FOR ARITHMETIC 5. ELEMENTARY CLASSIFICATIONS OF NUMBER 6. UNITY 7. LATER DEVELOPMENTS TOPICS FOR DISCUSSION II. LOGISTIC OF NATURAL NUMBERS 1. FUNDAMENTAL OPERATIONS 2. READING AND WRITING NUMBERS 3. ADDITION 4. SUBTRACTION 5. MULTIPLICATION 6. DIVISION 7. ROOTS 8. CHECKS ON OPERATIONS TOPICS FOR DISCUSSION III. MECHANICAL AIDS TO CALCULATION 1. THE ABACUS 2. FINGER RECKONING 3. MODERN CALCULATING MACHINES TOPICS FOR DISCUSSION IV. ARTIFICIAL NUMBERS 1. COMMON FRACTIONS 2. SEXAGESIMAL FRACTIONS 3. DECIMAL FRACTIONS 4. SURD NUMBERS 5. NEGATIVE NUMBERS 6. COMPLEX NUMBERS 7. TRANSCENDENTAL NUMBERS TOPICS FOR DISCUSSION V. GEOMETRY 1. GENERAL PROGRESS OF ELEMENTARY GEOMETRY 2. NAME FOR GEOMETRY 3. TECHNICAL TERMS OF EUCLIDEAN GEOMETRY 4. AXIOMS AND POSTULATES 5. TYPICAL PROPOSITIONS OF PLANE GEOMETRY 6. TYPICAL PROPOSITIONS OF SOLID GEOMETRY 7. THE THREE FAMOUS PROBLEMS 8. ANALYTIC GEOMETRY 9. MODERN GEOMETRY 10. PERSPECTIVE AND OPTICS 11. INSTRUMENTS IN GEOMETRY 12. THE PROBLEM OF EARTH MEASURE TOPICS FOR DISCUSSION VI. ALGEBRA 1. GENERAL PROGRESS OF ALGEBRA 2. NAME FOR ALGEBRA 3. TECHNICAL TERMS 4. SYMBOLS OF ALGEBRA 5. FUNDAMENTAL OPERATIONS 6. CONTINUED FRACTIONS 7. THE WRITING OF EQUATIONS 8. THE SOLUTION OF EQUATIONS 9. DETERMINANTS 10. "RATIO, PROPORTION, AND THE RULE OF THREE" 11. SERIES 12. LOGARITHMS 13. "PERMUTATIONS, COMBINATIONS, PROBABILITY" TOPICS FOR DISCUSSION VII. ELEMENTARY PROBLEMS 1. MATHEMATICAL RECREATIONS 2. TYPICAL PROBLEMS 3. COMMERCIAL PROBLEMS 4. APPLICATIONS OF ALGEBRA 5. MAGIC SQUARES TOPICS FOR DISCUSSION VIII. TRIGONOMETRY 1. GENERAL DEVELOPMENT OF TRIGONOMETRY 2. TRIGONOMETRIC FUNCTIONS 3. TRIGONOMETRIC TABLES 4. TYPICAL THEOREMS TOPICS FOR DISCUSSION IX. MEASURES 1. WEIGHT 2. LENGTH 3. AREAS 4. CAPACITY 5. VALUE 6. METRIC SYSTEM 7. TIME TOPICS FOR DISCUSSION X. THE CALCULUS 1. GREEK IDEAS OF A CALCULUS 2. MEDIEVAL IDEAS OF THE CALCULUS 3. MODERN FORERUNNERS OF THE CALCULUS 4. NEWTON AND LEIBNIZ TOPICS FOR DISCUSSION INDEX

Product Description

Volume II of an unusually clear and readable two-volume history - from Egyptian papyri and medieval maps to modern graphs and diagrams. Evolution of arithmetic, geometry, trigonometry, calculating devices, algebra, calculus, more. Includes problems, recreations, and applications.

Dettagli dell'edizione

• Editore: Dover Pubns
• Data di pubblicazione: 1958
• Lingua: Inglese
• ISBN 10: 0486204308
• ISBN 13: 9780486204307
• Rilegatura: Copertina flessibile
• Numero di pagine: 736
• Contatto del produttore: non disponibile
• Persona responsabile: Soc. Agr. La Raia Ss; http://www.la-raia.it; ; Strada Monterotondo, 79; Novi Ligure; 15067; Italia