By Roger Thompson

Best mathematics books

Strange Curves, Counting Rabbits, & Other Mathematical Explorations

How does arithmetic allow us to ship images from house again to Earth? the place does the bell-shaped curve come from? Why do you want in simple terms 23 humans in a room for a 50/50 likelihood of 2 of them sharing an identical birthday? In unusual Curves, Counting Rabbits, and different Mathematical Explorations, Keith Ball highlights how principles, quite often from natural math, can solution those questions and lots of extra.

Spectral Theory of Linear Differential Operators and Comparison Algebras

The most objective of this booklet is to introduce the reader to the idea that of comparability algebra, outlined as one of those C*-algebra of singular quintessential operators. the 1st a part of the ebook develops the mandatory parts of the spectral idea of differential operators in addition to the elemental homes of elliptic moment order differential operators.

Additional info for A Comprehensive Dictionary of Mathematics

Example text

165_ ; cal distribution function. : Similarly; the probability dis~ tribution of a random vari; able is completely - distribution function, : characterised by its probabil~ ity distribution function. empirical the empirical (cumulative) ; Sometimes the word "distridistribution function of a set . : bution" is used as a synonym of numencal data IS, for. eachf'I tior the empirIc .. al distn'butIon . h b bT re al vaI ue 0 f x, t he firactIon 0 . f ' observations that are less ~ d~nc~blOn. or fit e pro a I tty ; Istn utIon unctIon.

Dot a description of a point in which the point has a definite size • d ouble I"me graph s graphs in which two sets of data are graphed at the same time, connecting each set with line segments. • double-blind, doubleblind experiment in a double-blind experiment, neither the subjects nor the people evaluating the subjects knows who is in the treatment group and who is in the control group. This mitigates the placeho effect and guards against conscious and unconscious prejudice for or against the treatment on the part of the evaluators.

I : - edgel I an extension of the notion of ~ landmark to include partial in: formation about a curve ~ through the landmark. An ; edgel specifies rotation of a di: rection through a landmark, ~ extension along a direction ; through a landmark, or both. : The formula for thin-plate ~ splines on landmarks can be -dual I extended to encompass data (of a tessellation), the new ~es­ : about edgels as well. They are , . mon ; ordinates in multivariate moredge in another tessellanon. : phometric analysis.