TY  - BOOK
AU  - Swetz,Frank J.
TI  - The search for certainty: a journey through the history of mathematics, 1800-2000 / 
SN  - 0486474429 : PAP
AV  - QA26 .S43 2012
U1  - 510.9 
PY  - 2012///
CY  - Mineola, N.Y.
PB  - Dover Publications
KW  - Mathematics
KW  - History
KW  - 19th century
KW  - 20th century
N1  - Contains a new selection from the work, From five fingers to infinity : a journey through the history of mathematics, published by Open Court in 1994; Includes bibliographical references and index; The changing concept of change: the derivative from Fermat to Weierstrass -- Niels Henrik Abel -- Olivier and Abel on series convergence: an episode from early 19th century analysis -- The parallel postulate -- Saccheri, forerunner of non-euclidean geometry -- The evolution of group theory: a brief survey -- The men responsible for the development of vectors -- Matrix theory I: Arthur Cayley-founder of Matrix Theory -- Matrix Theory II: basic properties -- Matrix Theory III: the characteristic equation; minimal polynomials -- Sylvester and Scott -- The early beginnings of set theory -- Infinity: the twilight zone of mathematics -- Irrationals or incommensurables V: their admission to the realm of numbers -- The genesis of point set topology: from Newton to Hausdorff -- The origin of the four-color conjecture -- Meta-mathematics and the modern conception of mathematics -- Intuition and logic in mathematics -- The three crises in mathematics: logicism, intuitionism, and formalism -- Kurt Godel, mathematician and logician -- Thinking the unthinkable: the story of complex numbers (with a moral) -- The development of modern statistics -- ENIAC: the first computer -- Dynamical systems: Birkhoff and Smale -- Fermat's last theorem: 1637-1988
ER  -