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Gathers poems that combine an examination of contemporary society with views of the natural world and human relationships.
Difference Equations, Second Edition, presents a practical introduction to this important field of solutions for engineering and the physical sciences. Topic coverage includes numerical analysis, numerical methods, differential equations, combinatorics and discrete modeling. A hallmark of this revision is the diverse application to many subfields of mathematics. Phase plane analysis for systems of two linear equations Use of equations of variation to approximate solutions Fundamental matrices and Floquet theory for periodic systems LaSalle invariance theorem Additional applications: secant line method, Bison problem, juvenile-adult population model, probability theory Appendix on the use of Mathematica for analyzing difference equaitons Exponential generating functions Many new examples and exercises
Excellent introductory material on the calculus of time scales and dynamic equations.; Numerous examples and exercises illustrate the diverse application of dynamic equations on time scales.; Unified and systematic exposition of the topics allows good transitions from chapter to chapter.; Contributors include Anderson, M. Bohner, Davis, Dosly, Eloe, Erbe, Guseinov, Henderson, Hilger, Hilscher, Kaymakcalan, Lakshmikantham, Mathsen, and A. Peterson, founders and leaders of this field of study.; Useful as a comprehensive resource of time scales and dynamic equations for pure and applied mathematicians.; Comprehensive bibliography and index complete this text.
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 P...
For over 300 years, differential equations have served as an essential tool for describing and analyzing problems in many scientific disciplines. This carefully-written textbook provides an introduction to many of the important topics associated with ordinary differential equations. Unlike most textbooks on the subject, this text includes nonstandard topics such as perturbation methods and differential equations and Mathematica. In addition to the nonstandard topics, this text also contains contemporary material in the area as well as its classical topics. This second edition is updated to be compatible with Mathematica, version 7.0. It also provides 81 additional exercises, a new section in...
The variety of contemporary American poetry leaves many readers overwhelmed. The critic, scholar, and poet Stephen Burt sets out to help. Beginning in the early 1980s, where critical consensus ends, he presents 60 poems, each with an original essay explaining how the poem works, why it matters, and how it speaks to other parts of art and culture.
Contemporary American poetry has plenty to offer new readers, and plenty more for those who already follow it. Yet its difficulty—and sheer variety—leaves many readers puzzled or overwhelmed. The critic, scholar, and poet Stephanie Burt sets out to help. Beginning in the early 1980s, where critical consensus ends, Burt canvasses American poetry of the past four decades, from the headline-making urgency of Claudia Rankine’s Citizen to the stark pathos of Louise Glück, the limitless energy of Juan Felipe Herrera, and the erotic provocations of D. A. Powell. The Poem Is You: Sixty Contemporary American Poems and How to Read Them is a guide to the diverse magnificences of American poetry ...
Jack Tobin, the main character of The Mayor of Lexington Avenue returns in this non-stop novel that combines enthralling plot twists with some of the best coutroom fiction being written today. Tobin, known as the lawyer's lawyer--the guy the best lawyer's say they'd want to represent them in a courtroom battle--undertakes the representation of a serial killer who he believes to be innocent. The Chief of Police is outraged, the citizens of Oakville where the murders occurred, erupt, and the State Attorney is out for blood as Jack challenges the criminal justice system once again. Sheehan masterfully weaves stories of love and friendship into one man's uncompromising search for truth within the four corners of a courtroom where it is often spoken about but seldom seen. Jack is in a fight for his life and the outcome is in doubt right up to the turn of the final page. A trial lawyer himself, James Sheehan is also a top-notch thriller writer. Once again he succeeds in translating the depth of his courtroom knowledge into an entertaining and truly fascinating read.
This book summarizes the qualitative theory of differential equations with or without delays, collecting recent oscillation studies important to applications and further developments in mathematics, physics, engineering, and biology. The authors address oscillatory and nonoscillatory properties of first-order delay and neutral delay differential eq
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