Hitching English to numbers involves a continually fascinating face-off between

mathematical rigor and the messy (*)semantics of everyday language.

It is important to note, though, that all the theory is developed from the perspective of application to real insurance data, so the level of

mathematical rigor is not capricious, but rather necessary for the rather tremendous advancements made in the book.

A central tenet was respect for

mathematical rigor in economic theory.

The emphasis is not on complete

mathematical rigor, but on how the Fourier transform and some heuristics can be used effectively to obtain significant insight into the solutions of the canonical models in partial differential equations.

provides coverage of both purposes, emphasizing clarity of explanation over

mathematical rigor.

Secondly, the text may not provide sufficient

mathematical rigor for some instructors of basic insurance courses.

The book presents a good deal of

mathematical rigor and the reader should at least be familiar with matrix algebra, calculus and partial differential equations to appreciate the derivations.

of Texas in Edinburg) emphasize analytical methods over the importance of more abstract formulation with full

mathematical rigor.

The transition courses tend to emphasize

mathematical rigor and to teach students how to develop and write mathematical proofs.

Several branches of mathematics he relies on heavily may be disturbingly unfamiliar to readers; he describes them with some care but pays only lip service to

mathematical rigor and vigor.

Topics requiring more

mathematical rigor and detail are included in technical appendices to chapters

Over the years and editions--the most recent in 2004 and 2007--rough spots have been smoothed out and alterations made to this textbook introducing statistics in a real-world context without sacrificing

mathematical rigor.