Want to know not just what makes rockets go up but how to do it optimally? Optimal control theory has become such an important field in aerospace engineering that no graduate student or practicing engineer can afford to be without a working knowledge of it. This is the first book that begins from scratch to teach the reader the basic principles of the calculus of variations, develop the necessary conditions step-by-step, and introduce the elementary computational techniques of optimal control. This book, with problems and an online solution manual, provides the graduate-level reader with enough introductory knowledge so that he or she can not only read the literature and study the next level textbook but can also apply the theory to find optimal solutions in practice. No more is needed than the usual background of an undergraduate engineering, science, or mathematics program: namely calculus, differential equations, and numerical integration. Although finding optimal solutions for these problems is a complex process involving the calculus of variations, the authors carefully lay out step-by-step the most important theorems and concepts. Numerous examples are worked to demonstrate how to apply the theories to everything from classical problems (e.g., crossing a river in minimum time) to engineering problems (e.g., minimum-fuel launch of a satellite). Throughout the book use is made of the time-optimal launch of a satellite into orbit as an important case study with detailed analysis of two examples: launch from the Moon and launch from Earth. For launching into the field of optimal solutions, look no further!
Written by John Ferling, one of America's leading historians of the Revolutionary era, The First of Men offers an illuminating portrait of George Washington's life, with emphasis on his military and political career. Here is a riveting account that captures Washington in all his complexity, recounting not only Washington's familiar sterling qualities--courage, industry, ability to make difficult decisions, ceaseless striving for self-improvement, love of his family and loyalty to friends--but also his less well known character flaws. Indeed, as Ferling shows, Washington had to overcome many negative traits as he matured into a leader. The young Washington was accused of ingratitude and certain of his letters from this period read as if they were written by "a pompous martinet and a whining, petulant brat." As commander-in-chief of the Continental Army, he lost his temper more than once and indulged flatterers. Aaron Burr found him "a boring, colorless person." As president, he often believed the worst about individual officials. Ferling concludes that Washington's personality and temperament were those of "a self-centered and self-absorbed man, one who since youth had exhibited a fragile self-esteem." And yet he managed to realize virtually every grand design he ever conceived. Ferling's Washington is driven, fired by ambition, envy, and dreams of fame and fortune. Yet his leadership and character galvanized the American Revolution--probably no one else could have kept the war going until the master stroke at Yorktown--and helped the fledgling nation take, and survive, its first unsteady steps. This superb paperback makes available once again an unflinchingly honest and compelling biography of the father of our country.
Setting the World Ablaze tells the story of the American Revolution and of three Founders who played crucial roles in winning the War of Independence and creating a new nation: George Washington, John Adams, and Thomas Jefferson. A leading historian of the Revolutionary era, Ferling draws upon an unsurpassed command of the primary sources and a talent for swiftly moving narrative to give us intimate views of each of these men. He provides both an overarching historical picture of the era and a gripping sense of how these conservative men--successful members of the colonial elite--were transformed into radical revolutionaries.
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