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Mats Winther






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I was proven wrong. I could see the interplay of man and God in shaping our history and now fully understand that indeed "He works all things after the counsel of his own will". I was taken with the literary style that I could not put it down desiring to find out what would happen next to Luther. It is awesome to know that Omniscience wields Omnipotence to achieve the counsel of the Omnipresent God.



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I had more fun reading this book than any other "how to" book I have seen this year. As a result, I feel this book deserves more than five stars. What captured my attention was the careful demonstration of how the assumptions of viewers cause them to be misled by the practiced illusionist. I learned more from seeing the details of how the hand is quicker than the eye in this book than I have from all the scientific books I have read about perception and how the brain works. The book's examples will spill over into making readers more usefully observant in all areas of life.
The Art of Modern Conjuring was originally published in 1886. The publisher has done a nice job of keeping the feel of the original (especially with the cover) while providing an easy-to-use volume. Although I have read many books about simple magic tricks and illusions, this one was more revealing and more interesting than any other. I strongly recommend it for those who want to learn how to do simple illusions and for those who want to understand what appealed to families and audiences in the late 19th century. The book is greatly enhanced by the many illustrations that carefully demonstrate how to make the illusions work.
The book was designed as a "guide for amateurs and young beginners."
The subjects covered include basic skills, various illusions, how to assemble an act, and how to handle an audience. Among illusions, you will find out about essential skills like palming and passes, and how to do tricks with cards, coins, wedding rings, handerchiefs, balls, hats, candles, animals, string, flying, and inexhaustible sources. You will also find out how spiritualist illusions, seances, and thought reading are conducted. Over 200 illusions are covered in detail. Some are described in as many as four ways to conduct them!
To me, the best parts included how to create the clothing and equipment that you need to make the illusions work. You will learn where special pockets and trays are needed, and how to change the perspective to cause viewers to assume the wrong thing.
Some of the basic principles were interesting too. "Never tell your audience beforehand what you are going to do." Whatever you say, understate what you are about to perform (a few simple tricks before you make the Eiffel Tower disappear!). "Never perform the same trick twice before the same audience." You must not look at your hands. You need a wand to offer "a plausible pretext for many necessary movements."
After you become more savvy about illusions from this book, think about where else illusions are constructed for your benefit that rely on your false assumptions. For example, used car lots often spray "new car smell" into the interiors of newer cars they are selling. Many people misdescribe themselves when looking for a job or a date. Some people pretend to be other people on the Internet. What is the reality of those situations? How should your reaction to them be changed?
Check all the angles to see what's really going on!

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For example, the first chapter of this book deals with Bergson's method of intuition. Interestingly enough, Deleuze applies this method to Bergson's own philosophy. In very basic terms, this method involves distinguishing "differences in kind" between elements (this is important, since Bergson believes that we usually go by false generalizations) and then bring together these elements once again but such that we understand them as they truly are and not as what Deleuze calls a "badly analyzed composite". In analyzing Bergson's philosophy, Deleuze distinguishes elan vital, duration, and memomory as the basic concepts. Furthermore, each of these concepts can only be understood in terms of intuition for various reasons; for example, that only intuition can grasp pure movement (duration). Throughout this book, Deleuze usually (although not always) gives an account of Bergson's concepts without assuming complete knowledge on the part of the reader, which is helpful. However, on the other hand, Deleuze doesn't always tell us what is "his" philosophy and what is Bergson's. Because of this, "Bergsonism" should not be utilized as a summary of Bergson's work. That is, even though Deleuze is clear enough for someone with little background in Bergson to understand much of this book, this does not mean that this person would then "know Bergson" but rather a Bergson-Deleuzian hybrid. This isn't a flaw to the book; rather, it merely suggests how it ought to be read. This short book is complex, but very well written by Deleuze, allowing for a maximum amount of information to be intelligibly conveyed in relatively few pages (although this isn't necessarily true of his later work); it moves at a brisk pace without losing the reader and is reccomended for both readers of Bergson and Deleuze.


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The reaction of the early copyright system in place at medieval universities to new realities, of the technical innovation necessary to make good type founts, and of early print censorship were particularly interesting. I also enjoyed the discussion of the documentary evidence about Gutenburg and his unhappy relations with his financial backers.

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1. Most of the algorithms on elliptic curves. The author reminds the reader that number-theoretical experiments resulted in the famous Swinnerton-Dyer Conjecture and the Birch Conjecture. (a) the reduction algorithm, which for a given point in the upper half plane, gives the unique point in the half plane equivalent to this point under the action of the special linear group along with the matrix that maps these two points to each other. (b) The computation of the coefficient g2 and g3 of the Weierstrass equation of an elliptic curve. (c) The computation of the Weierstrass function and its derivative. (d) Determination of the periods of an elliptic curve over the real numbers. (e) The determination of the elliptic logarithm. (f) The reduction of a general cubic (f) The Shanks-Mestre algorithm for computing the order of an elliptic curve over a finite field F(p), where p is prime and greater than 457. (g) The reduction of an elliptic curve modulo p for p > 3. (h) The reduction of an elliptic curve modulo 2 or 3. (i) Reduction of an elliptic curve over the rational numbers. (j) Determination of the rational torsion points of an elliptic curve. (k) Computation of the Hilbert class polynomials and thus a determination of the j-function of an elliptic curve.
2. A few of the algorithms on factoring. (a) The Pollard algorithm for finding non-trivial factors of composites. (The author does not give the improved algorithm due to P. Montgomery, but does give references) (b) Shanks Square Form Factorization algorithm for finding a non-trivial factor of an odd integer. (c) Lenstra's Elliptic Curve test for compositeness.
3. Primality tests (a) The Jacobi Sum Primality Test for a positive integer. (b) Goldwasser-Killian elliptic curve test for a positive integer not equal to 1 and coprime to 6.
The author gives an overview of the computer packages used for number theory, including Pari, which was written by him and his collaborators. I have not used this package, but instead use Lydia and Mathematica for most of the number theoretic computations I need to do.

Of course, CAS information from 1993, won't be that helpful (look in his newest, Advanced Topics in C.A.N.T.).
Excellent. Also try Knuth's "Semi-numerical Algorithms" for a more computer oriented approach.

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Daniel J. Maloney
Saint Paul, Minnesota
