This volume presents a complete collection of correspondence between John Randolph of Roanoke, Virginia, and his close friend Dr. John Brockenbrough, a Richmond physician. Randolph was an eloquent man, the most talented extemporaneous speaker of the House of Representatives in his day and often wrote biting social commentatary. Of special interest in this collection are his critical comments on Thomas Jefferson, James Madison, James Monroe, John Adams, John Quincy Adams, Henry Clay, John Marshall, and many other leading figures of the period. Randolph's correspondence with Brockenbrough touches upon the principal political controversies of his time, from the War of 1812 to South Carolina's Nullification Crisis of 1832. From the trial of Aaron Burr until his fantastic end in a Philadelphia hotel, John Randolph confided in John Brockenbrough. This book records the friendship of a gifted politician and a sober physician. It also reveals a great deal about an era of American history that ought to be studied more closely.
Basic Real and Abstract Analysis focuses on the processes, methodologies, and approaches involved in the process of abstraction of mathematical problems. The book first offers information on orientation and sets and spaces, including equivalent and infinite sets, metric spaces, cardinals, distance and relative properties, real numbers, and absolute value and inequalities. The text then takes a look at sequences and series and measure and integration. Topics include rings and additivity, Lebesgue integration, outer measures and measurability, extended real number system, sequences in metric spaces, and series of real numbers. The publication ponders on measure theory, continuity, derivatives, and Stieltjes integrals. Discussions focus on integrators of bounded variation, Lebesgue integral relations, exponents and logarithms, bounded variation, mean values, trigonometry, and Fourier series. The manuscript is a valuable reference for mathematicians and researchers interested in the process of abstraction of mathematical equations.
With few exceptions, this work identifies every family that can be traced to the Passaic Valley prior to 1800. It is a massive compilation, treating several generations in the direct line, and it is surprisingly good in the elucidation of family relationships. Several years in preparation, this work names no fewer than 25,000 persons. The principal families covered are: Allen, Alward, Anderson, Badgley, Bailey, Ball, Barle, Bauldwell, Beach, Bebout, Bedell, Bedford, Bonnel, Boyle, Brittin, Broadwell, Brown, Burrows, Byram, Clark, Conklin, Connet, Cooper, Elmer, Enyart, Findlay, Finn, Frazee, French, Griffin, Hall, Hallock, Halsey, Hand, Hart, Heath, Hedges, High, Hill, Hole, Hurin, Jennings, Johnson, Jones, Kilpatrick, Lacy, Lamb, Lambert, Line, Littell, Little, Long, Ludlow, Ludlum, Lum, Lyon, Marshall, Martin, Maxwell, Meeker, Miller, Moore, Morehouse, Mulford, Noe, Oakley, Osborn, Parker, Parrot, Parsons, Pettit, Potter, Price, Prior, Raddin, Randolph, Riggs, Robison, Roff, Roll, Ross, Ruckman, Runyon, Rutan, Samson, Sayre, Scudder, Shipman, Shotwell, Simpson, Smalley, Smith, Spencer, Squier, Stelle, Stevens, Stites, Swain, Terril, Thomas, Thompson, Tilyou, Titus, Todd, Tomkins, Totten, Townley, Tucker, Vail, Valentine, Walker, Ward, Whitaker, Wilcox, Williams, and Wood.
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