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"How to speak of the searing, unpindownable power that the past-ours, our family's, our culture's-wields in the present? Drawing on nine years of research, Axiomatic explores the ways we understand the traumas we inherit and the systems that sustain them. In five sections-each one built on an axiom about how the past affects the present-Tumarkin weaves together true and intimate stories of a community dealing with the extended aftermath of a suicide, a grandmother's quest to kidnap her grandson to keep him safe, one community lawyer's struggle inside and against the criminal justice system, a larger-than-life Holocaust survivor, and the history of the author's longest friendship. With verve, wit, and critical dexterity, Tumarkin asks questions about loss, grief, and how our particular histories inform the people we become in the world. Axiomatic introduces an unforgettable voice."--transitbooks.org
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"The global biodiversity crisis is one of humanity's most urgent problems, but even quantifying biological diversity is a difficult mathematical and conceptual challenge. This book brings new mathematical rigour to the ongoing debate. It was born of research in category theory, is given strength by information theory, and is fed by the ancient field of functional equations. It applies the power of the axiomatic method to a biological problem of pressing concern, but it also presents new theorems that stand up as mathematics in their own right, independently of any application. The question 'what is diversity?' has surprising mathematical depth, and this book covers a wide breadth of mathematics, from functional equations to geometric measure theory, from probability theory to number theory. Despite this range, the mathematical prerequisites are few: the main narrative thread of this book requires no more than an undergraduate course in analysis"--
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English
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English
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Summary
"Mathematical and computational modeling (MCM) can be used in a diverse set of applications making it a very appealing and potent modeling tool. This book uses a novel and powerful procedural approach to teaching MCM, the Axiomatic Approach, which permits incorporating in a single model, systems that occur in many different branches of science and engineering. This book focuses on the mathematical models, in which processes to be modeled are expressed as a system of partial differential equations. It introduces a systematic method for constructing such models, which can be applied to any macroscopic physical system. This latter feature of the Axiomatic Approach is very valuable when treating new systems, since it permits formulating the models of previously unknown systems. Using it, many of the systems of most common occurrence in engineering practice are introduced and discussed. The effectiveness of this approach is reflected in the broadness and importance of the subjects treated;
Electronic Access
Table of contents http://catdir.loc.gov/catdir/enhancements/fy1304/2011036329-t.html Contributor biographical information http://catdir.loc.gov/catdir/enhancements/fy1310/2011036329-b.html Publisher description http://catdir.loc.gov/catdir/enhancements/fy1304/2011036329-d.html
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