Allan Peterson

Poetry. "Allan Peterson, in PRECARIOUS, his fifth full-length collection of poems, refuses the easy path of a consoling clarity, opting instead for a difficulty that more accurately reveals the blurred perspective of one human being's singular fixity from his place in Nature. What there is to see or know shifts, hardens into focus, then flies away into the collapsing moment when the eye misperceives or the mind suddenly remembers or misremembers... or comes to rest on a centering image or idea. It is challenging poetry and yet there isn't a trace of cynicism in this work. Like a modern day Cezanne, Allan Peterson writes poems that slowly clarify via the subconscious, moving by increments into focus in the conscious mind. The attention to detail functions as a mosaic that coalesces into a whole by poem's end, and we are but a fragment of the world depicted, and yet, like Peterson, we are also actively engaged in this splintering into wholeness."—David Dodd Lee

Poems

Precarious

Gathers poems that combine an examination of contemporary society with views of the natural world and human relationships.

Fragile Acts

Martin Bohner

The study of dynamic equations on a measure chain (time scale) goes back to its founder S. Hilger (1988), and is a new area of still fairly theoretical exploration in mathematics. Motivating the subject is the notion that dynamic equations on measure chains can build bridges between continuous and discrete mathematics. Further, the study of measure chain theory has led to several important applications, e.g., in the study of insect population models, neural networks, heat transfer, and epidemic models. Key features of the book: * Introduction to measure chain theory; discussion of its usefulness in allowing for the simultaneous development of differential equations and difference equations without having to repeat analogous proofs * Many classical formulas or procedures for differential and difference equations cast in a new light * New analogues of many of the "special functions" studied * Examination of the properties of the "exponential function" on time scales, which can be defined and investigated using a particularly simple linear equation * Additional topics covered: self-adjoint equations, linear systems, higher order equations, dynamic inequalities, and symplectic dynamic systems * Clear, motivated exposition, beginning with preliminaries and progressing to more sophisticated text * Ample examples and exercises throughout the book * Solutions to selected problems Requiring only a first semester of calculus and linear algebra, Dynamic Equations on Time Scales may be considered as an interesting approach to differential equations via exposure to continuous and discrete analysis. This approach provides an early encounter with many applications in such areas as biology, physics, and engineering. Parts of the book may be used in a special topics seminar at the senior undergraduate or beginning graduate levels. Finally, the work may

Allan Peterson

Books

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