Florian Cajori | Category: MathematicsBook DetailsISBN: 9789386677174

YOP: 2018

Pages: 556Order also on

In one concise volume, this unique book presents an interesting and reliable account of mathematics history for those who cannot devote themselves to an intensive study. The book is a must for personal and departmental libraries alike. Cajori has mastered the art of incorporating an enormous amount of specific detail into a smooth-flowing narrative. The Index – for example – contains not just the 300 to 400 names one would expect to find, but over 1,600. And, for example, one will not only find John Pell, but will learn who he was and some specifics of what he did (and that the Pell equation was named erroneously after him).In addition, one will come across Anna J. Pell and learn of her work on biorthogonal systems; one will find not only H. Lebesgue but the not unimportant (even if not major) V.A. Lebesgue. Of the Bernoullis one will find not three or four but all eight. One will find R. Sturm as well as C. Sturm; M. Ricci as well as G. Ricci; V. Riccati as well as J.F. Riccati; Wolfgang Bolyai as well as J. Bolyai; the mathematician Martin Ohm as well as the physicist G.S. Ohm; M. Riesz as well as F. Riesz; H.G. Grassmann as well as H. Grassmann; H.P. Babbage who continued the work of his father C. Babbage; R. Fuchs as well as the more famous L. Fuchs; A. Quetelet as well as L.A.J. Quetelet; P.M. Hahn and Hans Hahn; E. Blaschke and W. Blaschke; J. Picard as well as the more famous C.E. Picard; B. Pascal (of course) and also Ernesto Pascal and Etienne Pascal; and, the historically important V.J. Bouniakovski and W.A. Steklov, seldom mentioned at the time outside the Soviet literature.

INTRODUCTION

1. ANTIQUITY

2. The Babylonians

3. The Egyptians

4. The Greeks

5. Greek Geometry

6. The Ionic School

7. The School of Pythagoras

8. The Sophist School

9. The Platonic School

10. The First Alexandrian School

11. The Second Alexandrian School

12. Greek Arithmetic

13. The Romans

14. MIDDLE AGES

15. The Hindoos

16. The Arabs

17. Europe During the Middle Ages

18. Introduction of Roman Mathematics

19. Translation of Arabic Manuscripts

20. The First Awakening and its Sequel

21. MODERN EUROPE

22. The Renaissance

23. Vieta to Descartes

24. Descartes to Newton

25. Newton to Euler

26. Euler, Lagrange, and Laplace

27. The Origin of Modern Geometry

28. RECENT TIMES

29. Synthetic Geometry

30. Analytic Geometry

31. Algebra

32. Analysis

33. Theory of Functions

34. Theory of Numbers

35. Applied Mathematics

In one concise volume, this unique book presents an interesting and reliable account of mathematics history for those who cannot devote themselves to an intensive study. The book is a must for personal and departmental libraries alike. Cajori has mastered the art of incorporating an enormous amount of specific detail into a smooth-flowing narrative. The Index – for example – contains not just the 300 to 400 names one would expect to find, but over 1,600. And, for example, one will not only find John Pell, but will learn who he was and some specifics of what he did (and that the Pell equation was named erroneously after him).In addition, one will come across Anna J. Pell and learn of her work on biorthogonal systems; one will find not only H. Lebesgue but the not unimportant (even if not major) V.A. Lebesgue. Of the Bernoullis one will find not three or four but all eight. One will find R. Sturm as well as C. Sturm; M. Ricci as well as G. Ricci; V. Riccati as well as J.F. Riccati; Wolfgang Bolyai as well as J. Bolyai; the mathematician Martin Ohm as well as the physicist G.S. Ohm; M. Riesz as well as F. Riesz; H.G. Grassmann as well as H. Grassmann; H.P. Babbage who continued the work of his father C. Babbage; R. Fuchs as well as the more famous L. Fuchs; A. Quetelet as well as L.A.J. Quetelet; P.M. Hahn and Hans Hahn; E. Blaschke and W. Blaschke; J. Picard as well as the more famous C.E. Picard; B. Pascal (of course) and also Ernesto Pascal and Etienne Pascal; and, the historically important V.J. Bouniakovski and W.A. Steklov, seldom mentioned at the time outside the Soviet literature.

INTRODUCTION

1. ANTIQUITY

2. The Babylonians

3. The Egyptians

4. The Greeks

5. Greek Geometry

6. The Ionic School

7. The School of Pythagoras

8. The Sophist School

9. The Platonic School

10. The First Alexandrian School

11. The Second Alexandrian School

12. Greek Arithmetic

13. The Romans

14. MIDDLE AGES

15. The Hindoos

16. The Arabs

17. Europe During the Middle Ages

18. Introduction of Roman Mathematics

19. Translation of Arabic Manuscripts

20. The First Awakening and its Sequel

21. MODERN EUROPE

22. The Renaissance

23. Vieta to Descartes

24. Descartes to Newton

25. Newton to Euler

26. Euler, Lagrange, and Laplace

27. The Origin of Modern Geometry

28. RECENT TIMES

29. Synthetic Geometry

30. Analytic Geometry

31. Algebra

32. Analysis

33. Theory of Functions

34. Theory of Numbers

35. Applied Mathematics