In introducing his essays on the study and understanding of nature and e- lution, biologist Stephen J. Gould writes: W]e acquire a surprising source of rich and apparently limitless novelty from the primary documents of great thinkers throughout our history. But why should any nuggets, or even ?akes, be left for int- lectual miners in such terrain? Hasn't the Origin of Species been read untold millions of times? Hasn't every paragraph been subjected to overt scholarly scrutiny and exegesis? Letmeshareasecretrootedingeneralhumanfoibles. . . . Veryfew people, including authors willing to...
In introducing his essays on the study and understanding of nature and e- lution, biologist Stephen J. Gould writes: W]e acquire a surprising source ...
The authors' novel approach to some interesting mathematical concepts - not normally taught in other courses - places them in a historical and philosophical setting. Although primarily intended for mathematics undergraduates, the book will also appeal to students in the sciences, humanities and education with a strong interest in this subject. The first part proceeds from about 1800 BC to 1800 AD, discussing, for example, the Renaissance method for solving cubic and quartic equations and providing rigorous elementary proof that certain geometrical problems posed by the ancient Greeks cannot...
The authors' novel approach to some interesting mathematical concepts - not normally taught in other courses - places them in a historical and philoso...
The ideas of probability are all around us. Lotteries, casino gambling, the al- most non-stop polling which seems to mold public policy more and more- these are a few of the areas where principles of probability impinge in a direct way on the lives and fortunes of the general public. At a more re- moved level there is modern science which uses probability and its offshoots like statistics and the theory of random processes to build mathematical descriptions of the real world. In fact, twentieth-century physics, in embrac- ing quantum mechanics, has a world view that is at its core...
The ideas of probability are all around us. Lotteries, casino gambling, the al- most non-stop polling which seems to mold public policy more and more-...
In this textbook the authors present first-year geometry roughly in the order in which it was discovered. The first five chapters show how the ancient Greeks established geometry, together with its numerous practical applications, while more recent findings on Euclidian geometry are discussed as well. The following three chapters explain the revolution in geometry due to the progress made in the field of algebra by Descartes, Euler and Gauss. Spatial geometry, vector algebra and matrices are treated in chapters 9 and 10. The last chapter offers an introduction to projective geometry, which...
In this textbook the authors present first-year geometry roughly in the order in which it was discovered. The first five chapters show how the anci...