This comprehensive, detailed reference to Mathematica provides the reader with both a working knowledge of Mathematica programming in general and a detailed knowledge of key aspects of Mathematica needed to create the fastest, shortest, and most elegant implementations possible to solve problems from the natural and physical sciences. The Guidebook gives the user a deeper understanding of Mathematica by instructive implementations, explanations, and examples from a range of disciplines at varying levels of complexity. "Programming" covers the structure of Mathematica expressions, after an overview of the syntax of Mathematica, its programming, graphic, numeric and symbolic capabilities in chapter 1. Chapter 2-6 cover hierarchical construction of all Mathematica objects out of symbolic expressions, the definition of functions, the recognition of patterns and their efficient application, program flows and program structuring, the manipulation of lists, and additional topics. An Appendix contains some general references on algorithms and applications of computer algebra, Mathematica itself and comparisons of various algebra systems. The multiplatform CD contains Mathematica 4.1 notebooks with detailed descriptions and explanations of the Mathematica commands needed in that chapter and used in applications, supplemented by a variety of mathematical, physical, and graphic examples and worked out solutions to all exercises. The Mathematica Guidebook is an indispensible resource for practitioners, researchers and professionals in mathematics, the sciences, and engineering. It will find a natural place on the bookshelf as an essential reference work.

A Rat's Tale is the charming story of two sisters who are forced to go on a journey where innocence is lost, but strange and wonderful friendships are made. With their tummies rumbling and the cupboard bare, elder sister Lisa declares she's going out into the alley to find something to eat. Younger sister Hannah is worried because she knows a cat is lurking just outside the front door. Lisa cannot bear the thought of her younger sister going hungry, so when Hannah falls asleep she creeps outside in search of food. She's only outside for a minute when the cat spots her. Lisa runs for her life and gets horribly lost. As she walks the city's dark and scary streets, she fears she'll never find her way home - or see Hannah again. Lisa meets a frightening-looking creature she's never seen before. When the creature helps her to find her way home, both Lisa and Hannah learn they should never judge a book by its cover, and that the most unlikely creatures can become life-long friends.

This comprehensive, detailed reference provides readers with both a working knowledge of Mathematica in general and a detailed knowledge of the key aspects needed to create the fastest, shortest, and most elegant implementations possible. It gives users a deeper understanding of Mathematica by instructive implementations, explanations, and examples from a range of disciplines at varying levels of complexity. The three volumes -- Programming, Graphics, and Mathematics, total 3,000 pages and contain more than 15,000 Mathematica inputs, over 1,500 graphics, 4,000+ references, and more than 500 exercises. This first volume begins with the structure of Mathematica expressions, the syntax of Mathematica, its programming, graphic, numeric and symbolic capabilities. It then covers the hierarchical construction of objects out of symbolic expressions, the definition of functions, the recognition of patterns and their efficient application, program flows and program structuring, and the manipulation of lists. An indispensible resource for students, researchers and professionals in mathematics, the sciences, and engineering.

Richard Sibthorp, youngest son of a celebrated Lincolnshire family, became through his forceful preaching and acknowledged piety, one of the leading Anglican Evangelicals of the 1820s. During the next decade, close study of the Old Testament turned him into a High Churchman who transformed his chapel on the Isle of Wight into a pioneering centre of ritualism. In 1841, at great personal cost, he converted to Rome. More astonishing was his announcement, in October 1843, that he was returning to the Establishment. Eighteen months as a priest had persuaded him that the Protestant Reformers were right: the Papacy was indeed the prophesied Antichrist, the 'great harlot'. That the elderly Sibthorp eventually returned to Rome and ended his days as a respected priest of Nottingham Cathedral appears only to confirm his reputation as an eccentric whose career may amuse but can offer little instruction. This new biography, however, by carefully analyzing Sibthorp's response to the powerful theolog