The History of Mathematics (ePub)
A Brief Course
(Sprache: Englisch)
Praise for the Second Edition
"An amazing assemblage of worldwide contributions in mathematics
and, in addition to use as a course book, a valuable resource . . .
essential."
--CHOICE
This Third Edition of The History of Mathematics
examines the...
"An amazing assemblage of worldwide contributions in mathematics
and, in addition to use as a course book, a valuable resource . . .
essential."
--CHOICE
This Third Edition of The History of Mathematics
examines the...
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Produktinformationen zu „The History of Mathematics (ePub)“
Praise for the Second Edition
"An amazing assemblage of worldwide contributions in mathematics
and, in addition to use as a course book, a valuable resource . . .
essential."
--CHOICE
This Third Edition of The History of Mathematics
examines the elementary arithmetic, geometry, and algebra of
numerous cultures, tracing their usage from Mesopotamia, Egypt,
Greece, India, China, and Japan all the way to Europe during the
Medieval and Renaissance periods where calculus was developed.
Aimed primarily at undergraduate students studying the history
of mathematics for science, engineering, and secondary education,
the book focuses on three main ideas: the facts of who, what, when,
and where major advances in mathematics took place; the type of
mathematics involved at the time; and the integration of this
information into a coherent picture of the development of
mathematics. In addition, the book features carefully designed
problems that guide readers to a fuller understanding of the
relevant mathematics and its social and historical context.
Chapter-end exercises, numerous photographs, and a listing of
related websites are also included for readers who wish to pursue a
specialized topic in more depth. Additional features of The
History of Mathematics, Third Edition include:
* Material arranged in a chronological and cultural context
* Specific parts of the history of mathematics presented as
individual lessons
* New and revised exercises ranging between technical, factual,
and integrative
* Individual PowerPoint presentations for each chapter and a bank
of homework and test questions (in addition to the exercises in the
book)
* An emphasis on geography, culture, and mathematics
In addition to being an ideal coursebook for undergraduate
students, the book also serves as a fascinating reference for
mathematically inclined individuals who are interested in learning
about the history of mathematics.
"An amazing assemblage of worldwide contributions in mathematics
and, in addition to use as a course book, a valuable resource . . .
essential."
--CHOICE
This Third Edition of The History of Mathematics
examines the elementary arithmetic, geometry, and algebra of
numerous cultures, tracing their usage from Mesopotamia, Egypt,
Greece, India, China, and Japan all the way to Europe during the
Medieval and Renaissance periods where calculus was developed.
Aimed primarily at undergraduate students studying the history
of mathematics for science, engineering, and secondary education,
the book focuses on three main ideas: the facts of who, what, when,
and where major advances in mathematics took place; the type of
mathematics involved at the time; and the integration of this
information into a coherent picture of the development of
mathematics. In addition, the book features carefully designed
problems that guide readers to a fuller understanding of the
relevant mathematics and its social and historical context.
Chapter-end exercises, numerous photographs, and a listing of
related websites are also included for readers who wish to pursue a
specialized topic in more depth. Additional features of The
History of Mathematics, Third Edition include:
* Material arranged in a chronological and cultural context
* Specific parts of the history of mathematics presented as
individual lessons
* New and revised exercises ranging between technical, factual,
and integrative
* Individual PowerPoint presentations for each chapter and a bank
of homework and test questions (in addition to the exercises in the
book)
* An emphasis on geography, culture, and mathematics
In addition to being an ideal coursebook for undergraduate
students, the book also serves as a fascinating reference for
mathematically inclined individuals who are interested in learning
about the history of mathematics.
Inhaltsverzeichnis zu „The History of Mathematics (ePub)“
Preface xxi Changes From the Second Edition xxii Elementary Texts on the History of Mathematics xxiii Part 1. What is Mathematics? 1 Chapter 1. Mathematics and its History 3 Chapter 2. Proto-mathematics 15 Part 2. The Middle East, 2000-1500 BCE 27 Chapter 3. Overview of Mesopotamian Mathematics 29 Chapter 4. Computations in Ancient Mesopotamia 39 Chapter 5. Geometry in Mesopotamia 47 Chapter 6. Egyptian Numerals and Arithmetic 57 Chapter 7. Algebra and Geometry in Ancient Egypt 67 Part 3. Greek Mathematics From 500 BCE to 500 CE 79 Chapter 8. An Overview of Ancient Greek Mathematics 81 Chapter 9. Greek Number Theory 93 Chapter 10. Fifth-Century Greek Geometry 105 Chapter 11. Athenian Mathematics I: The Classical Problems 117 Chapter 12. Athenian Mathametics II: Plato and Aristotle 131 Chapter 13. Euclid of Alexandria 143 Chapter 14. Archimedes of Syracuse 151 Chapter 15. Apollonius of Perga 163 Chapter 16. Hellenistic and Roman Geometry 173 Chapter 17. Ptolemy's Geography and Astronomy 181 Chapter 18. Pappus and the Later Commentators 195 Part 4. India, China, and Japan 500 BCE-1700 CE 205 Chapter 19. Overview of Mathematics in India 207 Chapter 20. From the Vedas to Aryabhata I 217 Chapter 21. Brahmagupta, the Kuttaka, and Bhaskara II 231 Chapter 22. Early Classics of Chinese Mathematics 243 Chapter 23. Later Chinese Algebra and Geometry 259 Chapter 24. Traditional Japanese Mathematics 271 Part 5. Islamic Mathematics, 800-1500 285 Chapter 25. Overview of Islamic Mathematics 287 Chapter 26. Islamic Number Theory and Algebra 297 Chapter 27. Islamic Geometry 307 Part 6. European Mathematics, 500-1900 317 Chapter 28. Medieval and Early Modern Europe 319 Chapter 29. European Mathematics: 1200-1500 331 Chapter 30. Sixteenth-Century Algebra 345 Chapter 31. Renaissance Art and Geometry 355 Chapter 32. The Calculus Before Newton and Leibniz 365 Chapter 33. Newton and Leibniz 379 Chapter 34. Consolidation of the Calculus 393 Part 7. Special Topics 407 Chapter 35. Women
... mehr
Mathematicians 411 Chapter 36. Probability 423 Chapter 37. Algebra from 1600 to 1850 439 Chapter 38. Projective and Algebraic Geometry and Topology 453 Chapter 39. Differential Geometry 469 Chapter 40. Non-Euclidean Geometry 485 Chapter 41. Complex Analysis 499 Chapter 42. Real Numbers, Series, and Integrals 515 Chapter 43. Foundations of Real Analysis 525 Chapter 44. Set Theory 537 Chapter 45. Logic 547 Literature 563 Subject Index 581 Name Index 609
... weniger
Autoren-Porträt von Roger L. Cooke
ROGER L. COOKE, PhD, is Williams Professor of Mathematics at the University of Vermont. His research interests include the history of mathematics and Fourier analysis, and he has taught a general introduction to the history and development of mathematics for many years.
Bibliographische Angaben
- Autor: Roger L. Cooke
- 2012, 3. Auflage, 648 Seiten, Englisch
- Verlag: John Wiley & Sons
- ISBN-10: 1118460294
- ISBN-13: 9781118460290
- Erscheinungsdatum: 08.11.2012
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- Größe: 4.51 MB
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Sprache:
Englisch
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