Optimal control theory is a technique being used increasingly by academic economists to study problems involving optimal decisions in a multi-period framework. This textbook is designed to make the difficult subject of optimal control theory easily accessible to economists while at the same time maintaining rigour. Economic intuitions are emphasized, and examples and problem sets covering a wide range of applications in economics are provided to assist in the learning process. Theorems are clearly stated and their proofs are carefully explained. The development of the text is gradual and fully integrated, beginning with simple formulations and progressing to advanced topics such as control parameters, jumps in state variables, and bounded state space. For greater economy and elegance, optimal control theory is introduced directly, without recourse to the calculus of variations. The connection with the latter and with dynamic programming is explained in a separate chapter. A second purpose of the book is to draw the parallel between optimal control theory and static optimization. Chapter 1 provides an extensive treatment of constrained and unconstrained maximization, with emphasis on economic insight and applications. Starting from basic concepts, it derives and explains important results, including the envelope theorem and the method of comparative statics. This chapter may be used for a course in static optimization. The book is largely self-contained. No previous knowledge of differential equations is required.

Optimal control theory is a technique being used increasingly by academic economists to study problems involving optimal decisions in a multi-period framework. This book is designed to make the difficult subject of optimal control theory easily accessible to economists while at the same time maintaining rigor. Economic intuition is emphasized, examples and problem sets covering a wide range of applications in economics are provided, theorems are clearly stated and their proofs are carefully explained. The development of the text is gradual and fully integrated, beginning with the simple formulations and progressing to advanced topics. Optimal control theory is introduced directly, without recourse to the calculus of variations, and the connection with the latter and with dynamic programming is explained in a separate chapter. Also, the book draws the parallel between optimal control theory and static optimization. No previous knowledge of differential equations is required.

The 18th century was a wealth of knowledge, exploration and rapidly growing technology and expanding record-keeping made possible by advances in the printing press. In its determination to preserve the century of revolution, Gale initiated a revolution of its own: digitization of epic proportions to preserve these invaluable works in the largest archive of its kind. Now for the first time these high-quality digital copies of original 18th century manuscripts are available in print, making them highly accessible to libraries, undergraduate students, and independent scholars.Delve into what it was like to live during the eighteenth century by reading the first-hand accounts of everyday people, including city dwellers and farmers, businessmen and bankers, artisans and merchants, artists and their patrons, politicians and their constituents. Original texts make the American, French, and Industrial revolutions vividly contemporary.++++The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to insure edition identification: ++++British LibraryW020724Attributed to Daniel Leonard in the Dictionary of American biography. Imprint suggested by Evans. Boston: Printed by Mills and Hicks, 1775] 118p.; 4

All Lana wanted was chance to restore her tattered reputation, but with a cheating boyfriend and so-called friends who endlessly shame her, she soon realizes her old life isn’t worth reviving. Yet the harder she tries to break free, the more the assaults against her grow. Lana needs to take drastic measures to stand up to her haters. Or does she? When her enemy-number-one is found dead, followed by the cheating ex-boyfriend, suddenly all evidence points to Lana as the prime suspect.With police closing in, Lana must face some serious truths about the girls she once thought were her friends and, Demit, the new boy she’s fallen for. Somebody is lying. Finding out who will be the only way to prove her innocence and finally break her free from a life she so desperately wants to leave behind.

"An original and insightful exploration of a major component of contemporary American culture." -H. Bruce Franklin, author ofWar Stars: The Superweapon and the American Imagination "Bernardi boldly goes where no scholar has gone before and discovers racial anxiety at the center of the Star Trek story. This careful reading of commercial culture's quintessential mega-text provides invaluable insight into how mass media productions help shape us into the people we are." -George Lipsitz, author of Time Passages "Bernardi's thoughtful and provocative analysis of race in Star Trek is wholly original; it challenges viewers to see the series in a new light, and challenges its creators to be more mindful of the implicit messages in their work." -Rene Echevarria, co-supervising producer, Star Trek: Deep Space Nine "Daniel Bernardi has dissected the history of a myth. If we are ever to track down and expose our semi-conscious racist evasions and dissemblings, we need more books like this one." -Mike Budd, Florida Atlantic University "I would have sworn that there was little new any scholar could say about Star Trek. I was wrong. Bernardi opens up a rich new set of issues for scholarly examination, centering around the contradictory expression of race within the series and the fan culture that surrounds us. His analysis is bold, provocative, and challenging, yet consistently fair-minded. He combines a fan's detailed knowledge of the program's universe with the theoretical sophistication necessary to make this book a cutting-edge contribution to the cultural studies of race." -Henry Jenkins, author of Textual Poachers: Television Fans and Participatory Culture Star Trek and History examines the representational and narrative functions of race in Star Trek and explores how the meaning of race in the science fiction series has been facilitated and constrained by creative and network decision-making, by genre, by intertextuality, and by the audience. The author interprets how the changing social and political movements of the times have influenced the production and meaning of Trek texts and the ways in which the ongoing series negotiated and reflected these turbulent histories. Most significantly, he tells us why is it important for readers to better understand the articulation of race in this enduring icon of American popular culture. Daniel Leonard Bernardi is a visiting assistant professor in the Department of Film and Television at the University of California-Los Angeles. He is the editor of The Birth of Whiteness: Race and the Emergence of United States Cinema.