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Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, methods for unbounded intervals, spherical and cylindrical geometry, and much more. 7 Appendices. Glossary. Bibliography. Index. Over 160 text figures.
Transcendental equations arise in every branch of science and engineering. While most of these equations are easy to solve, some are not, and that is where this book serves as the mathematical equivalent of a skydiver's reserve parachute--not always needed, but indispensible when it is. The author's goal is to teach the art of finding the root of a single algebraic equation or a pair of such equations.
John Boyd is often known exclusively for the so-called ‘OODA’ loop model he developed. This model refers to a decision-making process and to the idea that military victory goes to the side that can complete the cycle from observation to action the fastest. This book aims to redress this state of affairs and re-examines John Boyd’s original contribution to strategic theory. By highlighting diverse sources that shaped Boyd’s thinking, and by offering a comprehensive overview of Boyd’s work, this volume demonstrates that the common interpretation of the meaning of Boyd’s OODA loop concept is incomplete. It also shows that Boyd’s work is much more comprehensive, richer and deeper t...
Boyd, more than any other person, saved fighter aviation from the predations of the Strategic Air Command. His manual of fighter tactics changed the way every air force in the world flies and fights. He discovered a physical theory that forever altered the way fighter planes were designed. Later in life, he developed a theory of military strategy that has been adopted throughout the world and even applied to business models for maximizing efficiency. And in one of the stories of modern military history, the Air Force fighter pilot taught the U.S. Marine Corps how to fight war on the ground. His ideas led to America's swift and decisive victory in the Gulf War and foretold the terrorist attacks of September 11, 2001.
Originally published in 1966, this well-written and still-cited text covers Fourier analysis, a foundation of science and engineering. Many modern textbooks are filled with specialized terms and equations that may be confusing, but this book uses a friendly, conversational tone to clarify the material and engage the reader. The author meticulously develops the topic and uses 161 problems integrated into the text to walk the student down the simplest path to a solution. Intended for students of engineering, physics, and mathematics at both advanced undergraduate and graduate levels.
The ideas of US Air Force Colonel John Boyd have transformed American military policy and practice. A first-rate fighter pilot and a self-taught scholar, he wrote the first manual on jet aerial combat; spearheaded the design of both of the Air Force's premier fighters, the F-15 and the F-16; and shaped the tactics that saved lives during the Vietnam War and the strategies that won the Gulf War. Many of America's best-known military and political leaders consulted Boyd on matters of technology, strategy, and theory. In The Mind of War, Grant T. Hammond offers the first complete portrait of John Boyd, his groundbreaking ideas, and his enduring legacy. Based on extensive interviews with Boyd and those who knew him as well as on a close analysis of Boyd's briefings, this intellectual biography brings the work of an extraordinary thinker to a broader public.
Convex optimization problems arise frequently in many different fields. This book provides a comprehensive introduction to the subject, and shows in detail how such problems can be solved numerically with great efficiency. The book begins with the basic elements of convex sets and functions, and then describes various classes of convex optimization problems. Duality and approximation techniques are then covered, as are statistical estimation techniques. Various geometrical problems are then presented, and there is detailed discussion of unconstrained and constrained minimization problems, and interior-point methods. The focus of the book is on recognizing convex optimization problems and then finding the most appropriate technique for solving them. It contains many worked examples and homework exercises and will appeal to students, researchers and practitioners in fields such as engineering, computer science, mathematics, statistics, finance and economics.
William Golding was born in 1911 and educated at his local grammar school and Brasenose College, Oxford. He published a volume of poems in 1934 and during the war served in the Royal Navy. Afterwards he returned to being a schoolmaster in Salisbury. Lord of the Flies, his first novel, was an immediate success, and was followed by a series of remarkable novels, including The Inheritors, Pincher Martin and The Spire. He won the Booker Prize for Rites of Passage in 1980, was awarded the Nobel Prize for Literature in 1983, and was knighted in 1988. He died in 1993.
"The book is both an excellent primer for those new to Boyd and a catalyst to those with business experience trying to internalize the relevance of Boyd ́s thinking." Chuck Leader, LtCol USMC (Ret.) and information technology company CEO; "A Winning Combination," Marine Corps Gazette, March 2005. Certain to Win [Sun Tzu ́s prognosis for generals who follow his advice] develops the strategy of the late US Air Force Colonel John R. Boyd for the world of business. The success of Robert Coram’s monumental biography, Boyd, the Fighter Pilot Who Changed the Art of War, rekindled interest in this obscure pilot and documented his influence on military matters ranging from his early work on fight...
This volume is the most comprehensive textbook on sustainable development. It has been developed with students and professionals from around the world specifically for those who need a thorough grounding in the subject. Coverage includes: background to sustainable development and global environmental issues; measurement and sustainability indicators; environmental assessment, management and policy; approaches and linkages to poverty reduction; impacts and infrastructure development; economics, consumption, production and market failures; governance; participation; disaster management; international financial institutions; international environmental agreements; and the role of civil society.