Calculus Gems: Brief Lives and Memorable MathematicsMAA, 2007. gada 2. aug. - 355 lappuses The first half of Calculus Gems, entitled Brief Lives, is a biological history of mathematics from the earliest times to the late nineteenth century. The author shows that science-and mathematics in particular-is something that people do, and not merely a mass of observed data and abstract theory. He demonstrates the profound connections that join mathematics to the history of philosophy and also to the broader intellectual and social history of Western Civilization. The second half of the book contains nuggets that Simmons has collected from number theory, geometry, science, etc., which he has used in his mathematics classes. G.H. Hardy once said, "A mathematician, like a painter or poet, is a maker of patters. If his patterns are more permanent than theirs, it is because they are made with ideas." This part of the book contains a wide variety of these patterns, arranged in an order roughly corresponding to the order of the ideas in most calculus courses. Some of the sections even have a few problems. Professor Simmons tells us in the preface of Calculus Gems: "I hold the naive but logically impeccable view that there are only two kinds of students in our colleges and universities; those who are attracted to mathematics, and those who are not yet attracted, but might be. My intended audience embraces both types." The overall aim of the book is to answer the question, "What is mathematics for?" With its inevitable answer, "To delight the mind and help us understand the world." |
Saturs
A | 4 |
B | 5 |
B | 11 |
B | 17 |
B | 23 |
Pappus fourth century A D | 57 |
Hypatia A D 370?415 | 62 |
Kepler 15711630 | 69 |
Huygens 16291695 | 125 |
Newton 16421727 | 131 |
Leibniz 16461716 | 141 |
The Bernoulli Brothers James 16541705 John 16671748 | 158 |
Gauss 17771855 | 175 |
Cauchy 17891857 | 185 |
Dirichlet 18051859 | 191 |
Chebyshev 18211894 | 197 |
Descartes 15961650 | 84 |
Mersenne 15881648 | 93 |
Cavalieri 15981647 | 106 |
Torricelli 16081647 | 113 |
Pascal 16231662 | 119 |
Weierstrass 18151897 | 207 |
Part B Memorable Mathematics | 215 |
Answers to Problems | 345 |
Citi izdevumi - Skatīt visu
Calculus Gems: Brief Lives and Memorable Mathematics George F. Simmons Priekšskatījums nav pieejams - 2007 |
Bieži izmantoti vārdi un frāzes
Abel algebra analysis angle Apollonius Archimedes astronomy Bernoulli calculus Cavalieri Cavalieri's Principle century circle complete complex numbers cone conic corresponding curve cycloid Democritus Descartes differential discovered discoveries E. T. Bell ellipse equal equation Euclid Euclidean Euler Euler path fact famous Fermat FIGURE formula functions Galileo Gauss genius geometry given greatest Greek Huygens ideas infinite integers intellectual interest invented John Bernoulli Kepler known later Leibniz manuscript mathematician mathematics Mersenne method mind modern Newton number theory orbit parabola Paris Pascal philosophy physics planets Plato positive integers prime number prime number theorem problem proof proved published Pythagoras Pythagorean radius real numbers regular polygons remarkable Riemann scientific Section solid sphere square surface T. L. Heath tangent Thales theorem thought treatise triangle University Press volume Weierstrass write wrote
Atsauces uz šo grāmatu
Mathematical Expeditions: Chronicles by the Explorers Reinhard Laubenbacher,David Pengelley Ierobežota priekšskatīšana - 2000 |
Mathematical Masterpieces: Further Chronicles by the Explorers Art Knoebel,Reinhard Laubenbacher,Jerry Lodder,David Pengelley Ierobežota priekšskatīšana - 2007 |