As teen math prodigy Agnijo Banerjee and his teacher David Darling reveal, complex math surrounds us. If we think long enough about the universe, we're left not with material stuff, but a ghostly and beautiful set of equations. Packed with puzzles and paradoxes, mind-bending concepts, and surprising solutions, Weird Math leads us from a lyrical exploration of mathematics in our universe to profound questions about God, chance, and infinity. A magical introduction to the mysteries of math, it will entrance beginners and seasoned mathematicians alike.

    Pages: 48. Chapters: Altheda, Altheda's potion, Altheda's wand, Amata, Amata's lover, Antioch Peverell, Antioch Peverell's first wand, Antioch Peverell's killer, Asha, Babbitty, Babbitty Rabbitty and her Cackling Stump, Brigade of Witch-Hunters, Cadmus Peverell, Cadmus Peverell's girlfriend, Cadmus Peverell's wand, Captain of the Brigade of Witch-Hunters, Charlatan, Cloak of Invisibility, Crystal casket, Death, Elder Wand, Enchanted garden, Evil sorcerer, Fountain, Gold statue of Babbitty, Grumble the Grubby Goat, Hairy Heart, Ignotus Peverell, Ignotus Peverell's son, Ignotus Peverell's wand, King, Kinsfolk, Maiden, Never-Ending Hill, Old man's donkey, Old man's family, Old man, Peasant woman's granddaughter, Peasant woman, Poisonous toadstool, Poultice for warts, Resurrection Stone, Sabre, Silver chalice, Sir Luckless, The Fountain of Fair Fortune, The Hopping Pot, The Tale of the Three Brothers, The Warlock's Hairy Heart, The Warlock's friends, The Wizard and the Hopping Pot, Warlock, Wizard's father, Wizard, Young woman's child, Young woman. Excerpt: Altheda was one of the three female protagonists in The Fountain of Fair Fortune, written by Beedle the Bard. Altheda was a witch who came to the Fountain in the hope of finding relief from poverty and despair, as her home, money, and wand had all been stolen by a Dark Wizard. After completing three trials, Altheda arrived at the Fountain with her companions Asha, Amata, and Sir Luckless. Before the four could decide who would get to bathe in the Fountain, however, Asha collapsed from exhaustion. Altheda quickly gathered some of the herbs that grew around the Fountain and prepared a potion for Asha. The potion not only saved Asha's life, but also cured her of the malady she suffered, which she had believed only the Fountain could heal. In curing Asha's sickness, Altheda realized that she had the means to earn a living, and thus had no need to...

     The first three feasts in the 1st month point to the Messiah's First Coming; the last three feasts in the 7th month, to His Second Coming. The middle feast highlights the Church, in more ways than is generally recognized. This briefing reveals the rich background of these feasts with many surprises for the Biblical believer, and yet only scratches the surface. The first half of this briefing pack is taught by Chuck Missler with the later half taught by Dan Stolebarger.

    This thorough revision provides a survey by groups, emphasizing adaptive morphology and physiology, while covering anatomical ground plans and basic developmental patterns. New co-author Richard Fox brings to the revision his expertise as an ecologist, offering a good balance to Ruppert's background as a functional morphologist. Rich illustrations and extensive citations make the book extremely valuable as a teaching tool and reference source.

    A lecture class taught by Wittgenstein, however, hardly resembled a lecture. He sat on a chair in the middle of the room, with some of the class sitting in chairs, some on the floor. He never used notes. He paused frequently, sometimes for several minutes, while he puzzled out a problem. He often asked his listeners questions and reacted to their replies. Many meetings were largely conversation. These lectures were attended by, among others, D. A. T. Gasking, J. N. Findlay, Stephen Toulmin, Alan Turing, G. H. von Wright, R. G. Bosanquet, Norman Malcolm, Rush Rhees, and Yorick Smythies. Notes taken by these last four are the basis for the thirty-one lectures in this book. The lectures covered such topics as the nature of mathematics, the distinctions between mathematical and everyday languages, the truth of mathematical propositions, consistency and contradiction in formal systems, the logicism of Frege and Russell, Platonism, identity, negation, and necessary truth. The mathematical examples used are nearly always elementary.

    Language is informal, examples are vivid and lively, and the perspectivie is fresh. Based on lectures delivered to engineering students, this work will also be valued by scientists, engineers, technicians, businessmen, anyone facing energy challenges of the future.