Analysis of nonlinear models and problems is crucial in the application of mathematics to real-world problems. This book approaches this important topic by focusing on collocation methods for solving nonlinear evolution equations and applying them to a variety of mathematical problems. These include wave motion models, hydrodynamic models of vehicular traffic flow, convection-diffusion models, reaction-diffusion models, and population dynamics models. The book may be used as a textbook for graduate courses on collocation methods, nonlinear modeling, and nonlinear differential equations. Examples and exercises are included in every chapter.
Join our pyjama clad hero as he leaves his bedroom to see the sights of New York at night time. Dodge the traffic, be dazzled by the lights on Broadway and take in the dizzying heights of the Big Apple's skyline.
Amidst the tension of a true historical military escalation between the USA and Libya in 1986, a Navy fighter pilot navigates his haunted past and uncertain future, discovering that true battles lie within, while a determined detective in Denver unravels a web of deceit, murder, and stolen diamonds that threatens to destroy them both. Eight years after I ran away from home in a daring bid for freedom, I soared over the Mediterranean Sea in an F18, engaged in combat against the Sudan, Yemen, and Soviet Union militaries. At fifteen, I confronted a daunting choice: endure the torment of my abusive stepfather or brave the uncertainties of the world alone. Opting for independence, I set out into the unforgiving terrain of the Rockies, ill-prepared for the challenges that awaited me. With winter looming and no opportunities in sight, I resorted to desperate measures to survive, turning to a life of crime. Welcome to the gritty reality of my true story—a tale where resilience clashes with harsh realities and survival becomes the sole imperative.
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1902 Excerpt: ...earth. r' = radius of moon, or other body. P = moon's horizontal parallax = earth's angular semidiameter as seen from the moon. f = moon's angular semidiameter. Now = P (in circular measure), r'-r = r (in circular measure);.'. r: r':: P: P', or (radius of earth): (radios of moon):: (moon's parallax): (moon's semidiameter). Examples. 1. Taking the moon's horizontal parallax as 57', and its angular diameter as 32', find its radius in miles, assuming the earth's radius to be 4000 miles. Here moon's semidiameter = 16';.-. 4000::: 57': 16';.-. r = 400 16 = 1123 miles. 2. The sun's horizontal parallax being 8"8, and his angular diameter 32V find his diameter in miles. ' Am. 872,727 miles. 3. The synodic period of Venus being 584 days, find the angle gained in each minute of time on the earth round the sun as centre. Am. l"-54 per minute. 4. Find the angular velocity with which Venus crosses the sun's disc, assuming the distances of Venus and the earth from the sun are as 7 to 10, as given by Bode's Law. Since (fig. 50) S V: VA:: 7: 3. But Srhas a relative angular velocity round the sun of l"-54 per minute (see Example 3); therefore, the relative angular velocity of A V round A is greater than this in the ratio of 7: 3, which gives an approximate result of 3"-6 per minute, the true rate being about 4" per minute. Annual ParaUax. 95. We have already seen that no displacement of the observer due to a change of position on the earth's surface could apparently affect the direction of a fixed star. However, as the earth in its annual motion describes an orbit of about 92 million miles radius round the sun, the different positions in space from which an observer views the fixed stars from time to time throughout the year must be separated ...
A mental trainer and veteran paratrooper outlines an accessible, military-inspired guide to enabling professional and personal success through lifestyle changes, recommending techniques that build on an effective single week spent emulating one's best self.
End of Life Stories: Tips and Tools for the Soul’s Journey Home is an extraordinary book designed to ease people’s suffering in the face of death. Here, anxious loved ones of individuals who are at the end of their lives will find comfort, wisdom and acceptance through the stories of someone who has borne repeated witness to this often agonizing scene. There aren’t many things more terrifying than having to stare down the inevitability of death. More than fear, though, is the tangle of other emotions that can crowd this painful phase: guilt, anger, excruciating despair. Author Cindy Bertrand Larson, who has long worked in palliative care, seeks to mitigate these complex feelings for those who are suffering them, to deliver a sense of peace and fulfillment, and to help these troubled souls find resolution with dangling questions and unresolved issues. Though different cultures have different approaches to dying and death, there are some universal truths around achieving a so-called “good death.” In these instances, these people’s transcendence to another place made them better. And those who traveled with them on their sacred journey are similarly blessed with the same sense of enlightenment and peace. Here is a truly special book that reminds us that we can choose to let death conquer and consume us, or we can choose to let death uplift us, to allow it to teach and transform us, to make us more compassionate souls.
What is the sound barrier? What is snot made of? Why do we yawn? Curious kids want to know, and they will get the answers to these questions and many more in this exceptional illustrated Q&A book. Questions from many branches of science, including chemistry, physics, biology, geology--are answered in a fun, kid-friendly way and accompanied by quirky cartoon illustrations that will entertain readers and help them remember important facts - 80 pages of educational, science-related questions and answers for kids ages 7 and up - Fun illustrations that engage readers while helping them learn - Educational content reviewed by a science expert What About: Science is a Q&A book that offers easy-to-understand answers to tough science questions! - Great family and classroom read-aloud book - Nonfiction books for kids - Educational books for elementary school students
Tom, a big six-year-old boy goes to school for the first day of his first grade armed with his crutches; a special day for that baby who was shook at the age of four months. How will Simon and the others react when they’ll see him? Is Tom going to make friends? This book is a prevention message about the Shaken Baby Syndrome and above all, a message of hope for all those who were wounded by the life.
In Race, Rock, and Elvis, Michael T. Bertrand contends that popular music, specifically Elvis Presley's brand of rock 'n' roll, helped revise racial attitudes after World War II. Observing that youthful fans of rhythm and blues, rock 'n' roll, and other black-inspired music seemed more inclined than their segregationist elders to ignore the color line, Bertrand links popular music with a more general relaxation, led by white youths, of the historical denigration of blacks in the South. The tradition of southern racism, successfully communicated to previous generations, failed for the first time when confronted with the demand for rock 'n' roll by a new, national, commercialized youth culture. In a narrative peppered with the colorful observations of ordinary southerners, Bertrand argues that appreciating black music made possible a new recognition of blacks as fellow human beings. Bertrand documents black enthusiasm for Elvis Presley and cites the racially mixed audiences that flocked to the new music at a time when adults expected separate performances for black audiences and white. He describes the critical role of radio and recordings in blurring the color line and notes that these media made black culture available to appreciative whites on an unprecedented scale. He also shows how music was used to define and express the values of a southern working-class youth culture in transition, as young whites, many of them trying to orient themselves in an unfamiliar urban setting, embraced black music and culture as a means of identifying themselves. By adding rock 'n' roll to the mix of factors that fed into civil rights advances in the South, Race, Rock, and Elvis shows how the music,with its rituals and vehicles, symbolized the vast potential for racial accord inherent in postwar society.
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