History of Mathematics, A (Classic Version)
Häftad, Engelska, 2017
Av Victor Katz
2 879 kr
A History of Mathematics, 3rd Edition provides a solid background in the history of mathematics and focuses on the most important topics for today's elementary, high school and college curricula. Students will gain a deeper understanding of mathematical concepts in their historical context, and future teachers will find this book a valuable resource in developing lesson plans based on the history of each topic.
This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price.
Produktinformation
- Utgivningsdatum2017-05-12
- Mått203 x 231 x 38 mm
- Vikt1 440 g
- SpråkEngelska
- SeriePearson Modern Classics for Advanced Mathematics Series
- Antal sidor1 000
- Upplaga3
- FörlagPearson Education
- EAN9780134689524
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About our author Victor J. Katz received his PhD in mathematics from Brandeis University in 1968. He is now a Professor of Mathematics emeritus at the University of the District of Columbia, where he taught for 37 years. He has long been interested in the history of mathematics, and particularly in its use in teaching. He has edited or co-edited 3 books dealing with this subject: Learn from the Masters (1994), Using History to Teach Mathematics: An International Perspective (2000), and Recent Developments on Introducing a Historical Dimension in Mathematics Education (2011). He is also the editor of 3 sourcebooks in mathematics: The Mathematics of Egypt, Mesopotamia, China, India and Islam: A Sourcebook (2007), Sourcebook in the Mathematics of Medieval Europe and North Africa (2016), and Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean (2024).Dr. Katz also co-edited 2 volumes of historical articles taken from MAA journals of the past 100 years: Sherlock Holmes in Babylon and Other Tales of Mathematical History and Who Gave You the Epsilon? & Other Tales of Mathematical History. He co-directed the NSF-sponsored projects entitled the Institute in the History of Mathematics and Its Use in Teaching designed to help college teachers learn the history of mathematics and how to use it in teaching. This project also included secondary school teachers, who ultimately wrote materials using the history of mathematics in the teaching of numerous topics in the high-school curriculum. These materials (Historical Modules for the Teaching and Learning of Mathematics) have been published by the MAA. With the late Frank Swetz, he was the founding editor of Convergence, the MAA’s online magazine devoted to the history of mathematics and its use in teaching (a magazine now more than 20 years old). In 2023, Dr. Katz received the MAA’s Yueh-Gin Gung and Charles Y. Hu Award for Distinguished Service to Mathematics.Dr. Katz had been married for 55 years to Dr. Phyllis Katz, herself an accomplished researcher in science education outside of schools. Together they have 3 adult children and 8 grandchildren.
- Part I. Ancient Mathematics 1. Egypt and Mesopotamia1.1 Egypt1.2 Mesopotamia 2. The Beginnings of Mathematics in Greece2.1 The Earliest Greek Mathematics2.2 The Time of Plato2.3 Aristotle 3. Euclid3.1 Introduction to the Elements3.2 Book I and the Pythagorean Theorem3.3 Book II and Geometric Algebra3.4 Circles and the Pentagon3.5 Ratio and Proportion3.6 Number Theory3.7 Irrational Magnitudes3.8 Solid Geometry and the Method of Exhaustion3.9 Euclid’s Data 4. Archimedes and Apollonius4.1 Archimedes and Physics4.2 Archimedes and Numerical Calculations4.3 Archimedes and Geometry4.4 Conic Sections Before Apollonius4.5 The Conics of Apollonius 5. Mathematical Methods in Hellenistic Times5.1 Astronomy Before Ptolemy5.2 Ptolemy and The Almagest5.3 Practical Mathematics 6. The Final Chapter of Greek Mathematics6.1 Nichomachus and Elementary Number Theory6.2 Diophantus and Greek Algebra6.3 Pappus and Analysis Part II. Medieval Mathematics 7. Ancient and Medieval China7.1 Introduction to Mathematics in China7.2 Calculations7.3 Geometry7.4 Solving Equations7.5 Indeterminate Analysis7.6 Transmission to and from China 8. Ancient and Medieval India8.1 Introduction to Mathematics in India8.2 Calculations8.3 Geometry8.4 Equation Solving8.5 Indeterminate Analysis8.6 Combinatorics8.7 Trigonometry8.8 Transmission to and from India 9. The Mathematics of Islam9.1 Introduction to Mathematics in Islam9.2 Decimal Arithmetic9.3 Algebra9.4 Combinatorics9.5 Geometry9.6 Trigonometry9.7 Transmission of Islamic Mathematics 10. Medieval Europe10.1 Introduction to the Mathematics of Medieval Europe10.2 Geometry and Trigonometry10.3 Combinatorics10.4 Medieval Algebra10.5 The Mathematics of Kinematics 11. Mathematics Elsewhere11.1 Mathematics at the Turn of the Fourteenth Century11.2 Mathematics in America, Africa, and the Pacific Part III. Early Modern Mathematics 12. Algebra in the Renaissance12.1 The Italian Abacists12.2 Algebra in France, Germany, England, and Portugal12.3 The Solution of the Cubic Equation12.4 Viete, Algebraic Symbolism, and Analysis12.5 Simon Stevin and Decimal Analysis 13. Mathematical Methods in the Renaissance13.1 Perspective13.2 Navigation and Geography13.3 Astronomy and Trigonometry13.4 Logarithms13.5 Kinematics 14. Geometry, Algebra and Probability in the Seventeenth Century14.1 The Theory of Equations14.2 Analytic Geometry14.3 Elementary Probability14.4 Number Theory14.5 Projective Geometry 15. The Beginnings of Calculus15.1 Tangents and Extrema15.2 Areas and Volumes15.3 Rectification of Curves and the Fundamental Theorem 16. Newton and Leibniz16.1 Isaac Newton16.2 Gottfried Wilhelm Leibniz16.3 First Calculus Texts Part IV. Modern Mathematics 17. Analysis in the Eighteenth Century17.1 Differential Equations17.2 The Calculus of Several Variables17.3 Calculus Texts17.4 The Foundations of Calculus 18. Probability and Statistics in the Eighteenth Century18.1 Theoretical Probability18.2 Statistical Inference18.3 Applications of Probability 19. Algebra and Number Theory in the Eighteenth Century19.1 Algebra Texts19.2 Advances in the Theory of Equations19.3 Number Theory19.4 Mathematics in the Americas 20. Geometry in the Eighteenth Century20.1 Clairaut and the Elements of Geometry20.2 The Parallel Postulate20.3 Analytic and Differential Geometry20.4 The Beginnings of Topology20.5 The French Revolution and Mathematics Education 21. Algebra and Number Theory in the Nineteenth Century21.1 Number Theory21.2 Solving Algebraic Equations21.3 Symbolic Algebra21.4 Matrices and Systems of Linear Equations21.5 Groups and Fields — The Beginning of Structure 22. Analysis in the Nineteenth Century22.1 Rigor in Analysis22.2 The Arithmetization of Analysis22.3 Complex Analysis22.4 Vector Analysis 23. Probability and Statistics in the Nineteenth Century23.1 The Method of Least Squares and Probability Distributions23.2 Statistics and the Social Sciences23.3 Statistical Graphs 24. Geometry in the Nineteenth Century24.1 Differential Geometry24.2 Non-Euclidean Geometry24.3 Projective Geometry24.4 Graph Theory and the Four Color Problem24.5 Geometry in N Dimensions24.6 The Foundations of Geometry 25. Aspects of the Twentieth Century25.1 Set Theory: Problems and Paradoxes25.2 Topology25.3 New Ideas in Algebra25.4 The Statistical Revolution25.5 Computers and Applications25.6 Old Questions Answered