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Later, I took a graduate math course in special functions (Green's Functions, Fourier Transforms, Legendre Polynomials, and Bessel Functions). Although this course was extremely challenging, I found that the examples given in Bowman's text were perfect for the segment of the course that was devoted to Bessel Functions, and it helped me raise my grade on homeworks.
In the end, the book is strictly about Bessel Functions. There is hardly any background (page 1 begins right away with Bessel Functions of zero order). The book progresses linearly with the most basic Bessel Functions, a few examples, and eventually ends with Bessel Functions of any real order and a few applications.
the bessel function of order zero as a power series, Don't ask why, just accept the facts. Then he gradually presents more facts about Bessel functions without rigorous proof. That is good!! Before mastering the subject, just accept the facts and in the future, if you want to know more about Bessel functions, you have already have a certain background knowledge about that.
If you read Watson's timeless classic " teatise on "bessel function", not only you will get stucked and you may lose interest to that as well. So I think this is the best book for those mathematicians or engineers who would encounter bessel function. I really have a lot of fun in reading this book !
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On page 57, however, the editors have made an understandable error. They attribute the founding of Manhattan College (1853), De La Salle University (1863) and St. Mary's (Moraga, California, (1863) to the Irish Christian Brothers. As a 1965 graduate of Manhattan College, I can tell you that these three colleges were founded by the French Christian Brothers, also know as the De La Salle Brothers. This teaching order was founded in Paris by St. John Baptist de la Salle, and predates the Irish Christian Brothers by almost two hundred years. To my knowledge, the only college founded by the Irish Christian Brothers in the U.S. is Iona College (1940) in New York. Personally, I enjoyed the book, found new facts about the Irish in America, and would recommend it to any Irish or Irish-American person.
Coffey and Golway use numerous anecdotes, excerpts, and other quotations from famous and not so famous Irish Americans. Included in this book are Denis Leary, Frank McCourt, and a forward by Patrick Kennedy. Reflections of these Irish-American personalities on their grandparents' or parents' lives and hard work, as well as memories of Catholic school, and other aspects of Irish-American life. Glossy photographs accent each passage beautifully and add to the overall attraction of the book. Contributions by all the authors provides a celebration of Irish ethnicity and heritage in the United States that is portrayed as humorous, melancholy, but overall proud. This book accents the PBS Documentary by the same name very nicely. After reading this book, I wished in a sense, that I had some Irish heritage.
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Garcetti takes you close to the massive lattice of ironwork that underlies the curvaceous and apparently delicate hall. "Lattice" , "Skeleton", "frame", none of these words capture in their sense of mere adumbration the massiveness of the iron underneath. Can I say it simply? There's really a lot. Just what you're looking for in a book entitled "Iron."
Garcetti does a great job of capturing the workers, too, with many closeup shots of them as people that really bring out their essential happiness. There's a sign of their union hall, and the wonderful holiday shot of the christmas tree being lifted up to the top on a huge steel beam.
Also shown are some huge ironworking tools.
If you're fascinated with the state of the art in iron-based construction today, I'd say this book is for you.
Something else to remember -- once a building is built, you'll never be able to take photographs of it under construction again. It may sound trivial to say it that way, but after reading this book you probably won't think so.
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