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Soft spoken and intuitive, these deeply reflective poems demonstrate the miraculous common currency of thinking, expressed like confidences shared with a reader: "the latent world wavers between us. . . ." Highly visual and verbally chromatic, eschewing punctuation and rigorously open-ended, these poems pursue intimate recognitions in compact forms energized by intuitive jumps.
On becoming familiar with difference equations and their close re- lation to differential equations, I was in hopes that the theory of difference equations could be brought completely abreast with that for ordinary differential equations. [HUGH L. TURRITTIN, My Mathematical Expectations, Springer Lecture Notes 312 (page 10), 1973] A major task of mathematics today is to harmonize the continuous and the discrete, to include them in one comprehensive mathematics, and to eliminate obscurity from both. [E. T. BELL, Men of Mathematics, Simon and Schuster, New York (page 13/14), 1937] The theory of time scales, which has recently received a lot of attention, was introduced by Stefan Hilger in his PhD thesis [159] in 1988 (supervised by Bernd Aulbach) in order to unify continuous and discrete analysis. This book is an intro- duction to the study of dynamic equations on time scales. Many results concerning differential equations carryover quite easily to corresponding results for difference equations, while other results seem to be completely different in nature from their continuous counterparts. The study of dynamic equations on time scales reveals such discrepancies, and helps avoid proving results twice, once for differential equa- tions and once for difference equations. The general idea is to prove a result for a dynamic equation where the domain of the unknown function is a so-called time scale, which is an arbitrary nonempty closed subset of the reals.
Oregon Book Awards Stafford/Hall Award for Poetry - FinalistPraise for Previous Work"e;Peterson is one of our most valuable poet-thinkers and thinker-poets, a writer who can show us how much is within our grasp and much is beyond it."e;-LA Review of Books"e;His observing eye, as astute as the most finely honed telephoto lens, is such that he's able to transform even the ordinary into something so exquisite it provokes wonder and awe."e;-Mary Jo Bang"e;Like 'Brazil's undiscovered caverns of amethyst,' Allan Peterson's Fragile Acts is a major find."e;-John Ashbery"e;He puts music to the tension between the desperate human experience and the cool removal of the cosmos. His poems are refreshingly discrete artifacts-perfected and edgy-raw at the same time."e;-Laura Kasischke"e;Allan Peterson's meditations on domestic tranquility and ecocatastrophe are so smart that they could actually make you smarter."e;-Boston Review"e;Soul-poppingly magnetic."e;-The RumpusFrom the vast complexities of a world in which synesthesia is our natural translator, Allan Peterson's poems convey the consistent message that the ordinary isn't. Selected from books and chapbooks covering almost thirty years of writing, Peterson's work draws heavily from landscapes like the Gulf Coast, the sciences, history, and the author's background in visual arts. Details of perception and observation demonstrate why these reflective works, often dense with images and intuitive jumps, have received national and international recognition.
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