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Unique, Penetrating, FascinatingReview Date: 2003-01-07
Walker shines in this superb narrative ...Review Date: 2003-07-13
In the pre-Gold Rush era, California was a mecca of commerce for traders from all over the world. Those who stepped foot on its shores, or made the overland journeys across the Oregon or Santa Fe trails, all sought a prosperous beginning. John Augustus Sutter was no exception, as he left his wife and children and their home in Switzerland, evading substantial debt and economic loss, to start over. Dale L. Walker enlightens the reader on the important role the "Empresario" Sutter played in the commercial and social development of northern California, and ultimately, if not ironically, how such a man in his business ventures suffered, rather than gained, from the discovery of gold at the site of his new saw mill.
Though the story of James Marshall's discovery of gold at Sutter's mill, under Sutter's employ, is likely the key highlight in the history of the Gold Rush, it is a perfect example of how the glamour of such an event can mask the reality of the craze, if not madness, that developed afterward. Walker offers great depth on how the news of the gold discovery reached the media and governments all over the world. How the news was received, who believed it and who didn't, and how those who did attempted to claim their share of the new fortune. Walker offers detailed accounts of the sea journeys around Cape Horn, or the partial sea journeys to the malaria laden jungles of Panama, then to San Francisco Bay - the prices they paid, the accommodations they received, and the fears and anxieties they faced. Rather by land or by sea, the trek alone was dreadful and life-staking. The disease cholera an invisible gauntlet, more so then the social and environmental challenges, to the success in reaching the land of gold.
Dale L. Walker has never failed to provide readers with a compelling, engaging narrative on any of his subjects, but ELDORADO could very well be his best work yet, and is sure to receive worldwide praise and recognition. The book belongs in every public and school library, and in the personal library of world leaders. It's a book for all times and all ages, a tremendous accomplishment, and Dale L. Walker more precious than gold to the writings of American history.

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Great comprehensive overviewReview Date: 2005-07-19
Excellent little book: From Colony to RepublicReview Date: 2004-12-12
"Quick access to important events, dates, and persons."
Included: The Treaty of Tordesillas, The Spanish Conquistadores, English and French Beginnings, Gilbert-Raleigh-and the First English Attempts, Virginia, New France, New Netherlands, The Pilgrims at Plymouth, The Massachusetts Bay Colony, Life in the Colonies, Bacon's Rebellion, The Salem Witch Trials, The French and Indian War, Grenville and the Stamp Act, The Townshend Acts, The Return of Relative Peace, The Tea Act, The Intolerable Acts, THE WAR FOR INDEPENDENCE, THE CREATION OF NEW GOVERNMENTS ... much more.
Highly recommended, especially for home-schoolers.
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Everlasting Fire: Cowokoci's Legacy in the Seminole Struggle Against Western ExpansionReview Date: 2006-07-26
Seminole HistoryReview Date: 2006-07-21
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Required ReadingReview Date: 2006-10-26
Downright inspiring, touching and heartfeltReview Date: 2004-10-26
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Fundamental analysisReview Date: 2001-10-23
AN EFFECTIVE WAY TO READ THE REAL PERSPECTIVEReview Date: 2004-03-25

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Eye-openingReview Date: 2005-04-01
Why does America keep going to war?Review Date: 2005-04-08
At the heart of U.S. foreign policy lays a desire for American supremacy over the world-this much is painfully clear today in light of the Iraq war. But Lens traces this thread back to the founding of America, taking a critical look at the territorial expansion of the U.S. on native lands, the occupation of Cuba and the Philippines, the "open door" economic policy in Asia and the war profiteering during both world wars.
Whether it's the Spanish-American war or the Cold War, readers can see many reflections of the past in the actions of governments today. "The Forging of the American Empire" is no mere historical narrative, it's a chronicle written so that we can understand what drives the present era of wars and globalization.
Lens' radical, materialist approach to the history of the United States is refreshing, cogent and comprehensive. It does an excellent job explaining foreign policy, but this leaves little room for domestic affairs and opposition to U.S. imperialism. I recommend checking out Howard Zinn's book alongside this one, for anyone who really wants to understand why America goes to war or bullies weaker nations.
(This is a reprint of the classic Vietnam War-era text that Lens wrote to help guide his fellow antiwar activists in a previous generation. Howard Zinn's introduction updates the book through 2003.)

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A thirty-year veteran of the personal growth movementReview Date: 2007-09-06
Loved this book so much!Review Date: 2007-08-15

One of the basicsReview Date: 2008-01-28
If unavailable, you may be able to read the text by googling it.
Knowing How Banks Work!Review Date: 2005-03-27


Good bio of a frontiersman Review Date: 2005-06-15
The author has turned out a well-written and researched scholarly biography of Boone. I was impressed with his ability to make Boone and his family come alive and to string together a coherent narrative from many sources. The book is an significant contribution to the history of the American frontier, especially for its insights about White relations with Indian tribes such as the Osage, Potawatomi, Sauk, Wichita, and Cherokee. Boone was a competent, unspectacular exemplar of the American frontiersman on the Middle Border.
Those with an interest in the frontier history of Missouri and nearby states, especially the uneasy relationships between Whites and Indians will find this book worth reading.
Smallchief
The Original Son of the PioneerReview Date: 2003-12-20
The central feature of Nathan Boone's life, and the core of this biography, was his military service. During the War of 1812 he led a company of rangers on campaigns in the Old Northwest. In 1832, at the age of 51, he organized his own company of Missouri Rangers for the Black Hawk War. This time, at the end of the conflict Nathan Boone transferred to the regular army's dragoons at Fort Leavenworth. He remained on active duty from 1833 until forced to take a final leave of absence in 1848. He maintained his commission, even if not on active duty, until 1853 when health finally prompted his resignation. Serving under Stephen Watts Kearny on the Iowa, Kansas, Arkansas, and Oklahoma frontier suited Boone just fine. He also acquitted himself well as a captain in the dragoons and was called upon to lead several expeditions during his active service to patrol the region. He did not, however, accompany Kearny's Army of the West in its invasion of New Mexico and California in 1846, remaining behind on garrison duty in Oklahoma.
This is a straightforward and competent biography. Capably researched and written, it rescues from nearly complete obscurity a figure of moderate significance in the American West in the mid-nineteenth century. Proceeding chronologically, it also excels at describing the role of the army on the frontier in those periods when war was not taking place. As such it is a welcome addition to the historical literature. It is also a worthwhile addition to the "Missouri Biography Series" in which it appears.

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A reference book in the domainReview Date: 2008-09-12
ExcellentReview Date: 2002-04-10
As preparation for the study of SDEs, the authors detail some preliminary background on probability, statistics, and stochastic processes in Part 1 of the book. Particularly well-written is the discussion on random number generators and efficient methods for generating random numbers, such as the Box-Muller and Polar Marsaglia methods. Both discrete and continuous Markov processes are discussed, and the authors review the connection between Weiner processes (Brownian motion for the physicist reader) and white noise. The measure-theory foundations of the subject are outlined briefly for the interested reader.
Part 2 begins naturally with an overview of stochastic calculus, with the Ito calculus chosen to show how to generalize ordinary calculus to the stochastic realm. The authors motivate the subject as one in which the functional form of stochastic processes was emphasized, with Ito attempting to find out just when local properties such as the drift and diffusion coefficients can characterize the stochastic process. The Ito formula is shown to be a generalization of the chain rule of ordinary calculus to the case where stochasticity is present. The authors are also careful to distinguish between "random" differential equations and "stochastic" differential equations. The former can be solved by integrating over differentiable sample paths, but in the latter one has to face the nondifferentiability of the sample paths, and hence solutions are more difficult to obtain. The authors give many examples of SDEs that can be solved explicitly, and prove existence and uniqueness theorems for strong solutions of the SDEs. And since ordinary differential equations are usually tackled by Taylor series expansions, it is perhaps not surprising that this technique would be generalized to SDEs, which the authors do in detail in this part. They also outline the differences between the Ito and Stratonovich interpretations of stochastic integrals and SDEs.
Part 3 is definitely of great interest to those who must develop mathematical models using SDEs. The authors carefully outline the reasons where Ito versus the Stratonovich formulations are used, this being largely dependent on the degree of autocorrelation in the processes at hand. The Stratonovich SDE is recommended for cases when the white noise is used as an idealization of a (smooth) real noise process. The authors also show how to approximate Markov chain problems with diffusion processes, which are the solutions of Ito SDEs. Several very interesting examples are given of the applications of stochastic differential equations; the particular ones of direct interest to me were the ones on population dynamics, protein kinetics, and genetics; option pricing, and blood clotting dynamics/cellular energetics.
After a review of discrete time approzimations in ordinary deterministic differential equations, in part 4 the authors show to solve SDEs using this approximation. The familiar Euler approximation is considered, with a simple example having an explicit solution compared with its Euler approximate solution. They also show how to use simulations when an explicit solution is lacking. The importance notions of strong and weak convergence of the approximate solutions are discussed in detail. Strong convergence is basically a convergence in norm (absolute value), while weak convergence is taken with respect to a collection of test functions. Both of these types of convergence reduce to the ordinary deterministic sense of convergence when the random elements are removed.
The discussion of convergence in part 4 leads to a very extensive discussion of strongly convergent approximations in part 5, and weakly convergent approximations in part 6. Stochastic Taylor expansions done with respect to the strong convergence criterion are discussed, beginning with the Euler approximation. More complicated strongly convergent stochastic approximation schemes are also considered, such as the Milstein scheme, which reduces to the Euler scheme when the diffusion coefficients only depend on time. The strong Taylor schemes of all orders are treated in detail. Since Taylor approximations make evaluations of the derivatives necessary, which is computational intensive, the authors discuss strong approximation schemes that do not require this, much like the Runge-Kutta methods in the deterministic case , but the authors are careful to point out that the Runge-Kutta analogy is problematic in the stochastic case. Several of these "derivative-free" schemes are considered by the authors. The authors also consider implicit strong approximation schemes for stiff SDEs, wherein numerical instabilities are problematic. Interesting applications are given for strong approximations for SDEs, such as the Duffing-Van der Pol oscillator, which is very important system in engineering mechanics and phyics, and has been subjected to an incredible amount of research.
More detailed consideration of weak Taylor approximations is given in part 6. The Euler scheme is examined first in the weak approximation, with the higher-order schemes following. Since weak convergence is more stringent than strong convergence, it should come as no surprise that fewer terms are required to obtain convergence, as compared with strong convergence at the same order. This intuition is indeed verified in the discussion, and the authors treat both explicit and implicit weak approximations, along with extrapolation and predictor-corrector methods. And most importantly, the authors give an introduction to the Girsanov methods for variance reduction of weak approximations to Ito diffusions, along with other techniques for doing the same. Those readers involved in constructive quantum field theory will value the treatment on using weak approximations to calculate functional integrals. The approximation of Lyapunov exponents for stochastic dynamical systems is also treated, along with the approximation of invariant measures.
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