This text on advanced calculus discusses such topics as number systems, the extreme value problem, continuous functions, differentiation, integration and infinite series. The reader will find the focus of attention shifted from the learning and applying of computational techniques to careful reasoning from hypothesis to conclusion. The book is intended both for a terminal course and as preparation for more advanced studies in mathematics, science, engineering and computation.
A wonderful addition to the literature on the American Revolution, full of enlightening facts and figures." —Kirkus Reviews, starred review George C. Daughan’s magnificently detailed account of the battle of Lexington and Concord challenges the prevailing narrative of the American War of Independence. It was, Daughan argues, based as much on economic concerns as political ones. When Massachusetts militiamen turned out in overwhelming numbers to fight the British, they believed they were fighting for their farms and livelihoods, as well as for liberty. In the eyes of many American colonists, Britain’s repressive measures were not simply an effort to reestablish political control of the colonies, but also a means to reduce the prosperous colonists to the serfdom Benjamin Franklin witnessed on his tour of Ireland and Scotland. Authoritative and thoroughly researched, Lexington and Concord is a “worthy resource for history buffs seeking a closer look at what drove the start of the American Revolution” (Booklist).
Exploring the beginnings of the most influential communications medium of all time, this work covers the history of early mechanical and later electronic means of television. It takes a chronological approach to the subject, from its theoretical conception in the late 1800s, through important market experiments just prior to World War II. Coverage is global and multilingual, with material from French, German, Russian, and English sources. Each chapter begins with a historical essay that places the period in context. After 1927, each chapter focuses on a single year. The coverage weaves together the discoveries and developments in all countries, reporting on the work of solitary inventors, as well as research teams. The text ties together annotated citations that make up the bulk of each chapter, and excerpts from important documents or eyewitness accounts. Each chapter also contains a chronology of the advances and breakthroughs during the period covered. The entire work is carefully cross-referenced and an indexed to provide easy access. Chronology. Index.
This unique approach to the Iliad and the Odyssey explores the role and function of Hades as a poetic environment in which traditional exposition of heroic values may be subverted in favour of a more personally inflected approach to the epic past, giving rise to a different kind of poetics: the 'poetics of Hades'.
In the face of an uncertain and dangerous world, Americans yearn for a firm moral compass, a clear set of ethical guidelines. But as history shows, by reducing complex situations to simple cases of right or wrong we often go astray. In Morality's Muddy Waters, historian George Cotkin offers a clarion call on behalf of moral complexity. Revisiting several defining moments in the twentieth century—the American bombing of civilians during World War II, the My Lai massacre, racism in the South, capital punishment, the invasion of Iraq—Cotkin chronicles how historical figures have grappled with the problem of evil and moral responsibility—sometimes successfully, oftentimes not. In the process, he offers a wide-ranging tour of modern American history. Taken together, Cotkin maintains, these episodes reveal that the central concepts of morality—evil, empathy, and virtue—are both necessary and troubling. Without empathy, for example, we fail to inhabit the world of others; with it, we sometimes elevate individual suffering over political complexities. For Cotkin, close historical analysis may help reenergize these concepts for ethical thinking and acting. Morality's Muddy Waters argues for a moral turn in the way we study and think about history, maintaining that even when answers to ethical dilemmas prove elusive, the act of grappling with them is invaluable.
This book is a unique introduction to the theory of linear operators on Hilbert space. The authors' goal is to present the basic facts of functional analysis in a form suitable for engineers, scientists, and applied mathematicians. Although the Definition-Theorem-Proof format of mathematics is used, careful attention is given to motivation of the material covered and many illustrative examples are presented. First published in 1971, Linear Operator in Engineering and Sciences has since proved to be a popular and very useful textbook.
Geometric constructions have been a popular part of mathematics throughout history. The first chapter here is informal and starts from scratch, introducing all the geometric constructions from high school that have been forgotten or were never learned. The second chapter formalises Plato's game, and examines problems from antiquity such as the impossibility of trisecting an arbitrary angle. After that, variations on Plato's theme are explored: using only a ruler, a compass, toothpicks, a ruler and dividers, a marked rule, or a tomahawk, ending in a chapter on geometric constructions by paperfolding. The author writes in a charming style and nicely intersperses history and philosophy within the mathematics, teaching a little geometry and a little algebra along the way. This is as much an algebra book as it is a geometry book, yet since all the algebra and geometry needed is developed within the text, very little mathematical background is required. This text has been class tested for several semesters with a master's level class for secondary teachers.
This text discusses electromagnetics from the view of operator theory, in a manner more commonly seen in textbooks of quantum mechanics. It includes a self-contained introduction to operator theory, presenting definitions and theorems, plus proofs of the theorems when these are simple or enlightening.
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