Our best scientific theories explain a wide range of empirical phenomena, make accurate predictions, and are widely believed. Since many of these theories make ample use of mathematics, it is natural to see them as confirming its truth. Perhaps the use of mathematics in science even gives us reason to believe in the existence of abstract mathematical objects such as numbers and sets. These issues lie at the heart of the Indispensability Argument, to which this Element is devoted. The Element's first half traces the evolution of the Indispensability Argument from its origins in Quine and Putnam's works, taking in naturalism, confirmational holism, Field's program, and the use of idealisations in science along the way. Its second half examines the explanatory version of the Indispensability Argument, and focuses on several more recent versions of easy-road and hard-road fictionalism respectively.

Nantucket Island in the summertime— a dream come true, right? Not for twelve year old Adelaide, whose father died a year earlier and now has one ambition in life: to be a great explorer and adventuress like her idol, Amelia Earhart. Adelaide loves fantasizing about the future exotic places she'll travel to, to help her escape what's really going on. To Adelaide, going to her grandparent's house on Nantucket for the whole summer, with her younger brother Louis in tow to take care of, sure doesn't fit the bill. She thinks. . . Adelaide couldn't be more wrong. When, at her grandparent's house, she decides to go out exploring when she comes across an extraordinary white rose in her grandmother's island garden. She clips it and boom! A chain of events is set in motion that pull her into another world of the Hidden Forest, a realm where she must battle the Merqueen to save her younger brother Louis, with the help of Max the Sankaty Lynx, McFadden the faerie fisherman and King Micah, a Native American islander. Through doing so, Adelaide ultimately is able to bring herself back to life. The Hidden Forest is a middle grade fantasy/adventure novel in the tradition of The Lion, the Witch and the Wardrobe and the Redwall series. Set on the magical island of Nantucket, it is a story of learning how to grieve and heal the past in order to live in and embrace the present. One could say the theme is the only way out of the forest is through the forest.

First published in 1975, this classic book gives a systematic account of transcendental number theory, that is, the theory of those numbers that cannot be expressed as the roots of algebraic equations having rational coefficients. Their study has developed into a fertile and extensive theory, which continues to see rapid progress today. Expositions are presented of theories relating to linear forms in the logarithms of algebraic numbers, of Schmidt's generalization of the Thue-Siegel-Roth theorem, of Shidlovsky's work on Siegel's E-functions and of Sprindzuk's solution to the Mahler conjecture. This edition includes an introduction written by David Masser describing Baker's achievement, surveying the content of each chapter and explaining the main argument of Baker's method in broad strokes. A new afterword lists recent developments related to Baker's work.

Build your child's reading confidence at home with books at the right level What is blood? How does it help us? How does it travel around the body? Find answers to all these questions, learn what the heart and lungs do and see what the difference is between veins, arteries and capillaries in this fun non-fiction information book. Useful diagrams and fun cartoons make these difficult concepts accessible and interesting. Lime/Band 11 books have longer sentence structures and a greater use of literary language. Text type: An information book. A diagram of what blood is and how it travels around the body on pages 30 and 31 help children to recap what they've read. Additional retrieval devices such as a glossary and index can be evaluated for their usefulness as children develop critical reading skills. Curriculum links: Science: Ourselves; Keeping healthy. This book has been quizzed for Accelerated Reader.

This is an account of the proceedings of a very successful symposium of Transcendental Number Theory held in Durham in 1986. Most of the leading international specialists were present and the lectures reflected the great advances that have taken place in this area. Indeed, the evolution of transcendence into a fertile theory with numerous and widespread applications has been one of the most exciting developments of modern mathematics. The papers cover all the main branches of the subject, and include not only definitive research but valuable survey articles. The work as a whole is an important contribution to mathematics and will be of considerable influence in the further direction of transcendence theory as well as an authoritative account of its current state.

An up-close introduction to the most admired warriors in history
They mounted their horses, grasped the lances made of fine Bordeaux Steel, closed the visors of their helmets, and made their way to their stations for the first course. Spurring their horses on, they advanced toward each other at full gallop, lowering their lances as they approached. The tip of Clifford's lance caught Boucmel high on his breastplate and was deflected off . . . directly into the young squire's mail hood, piercing his neck clean through.
This tragic account of an ambitious young Frenchman's senseless death during a friendly joust with an English knight underscores the ever-present danger that stalked the flower of European youth in the Middle Ages. In The Knight, you'll meet John Boucmel, Nicholas Clifford, and scores of other warriors who risked their lives to fill the medieval lists and battlefields in a relentless quest for fame, glory, and victory.
This vivid, fast-paced narrative whisks you from the blood-soaked fields of Normandy in the Hundred Years' War to the battered walls of Jerusalem in the first Crusade, from a sumptuous feast in an English castle to the pomp and pageantry of a spectacular thirty-day jousting tournament. You'll discover how knights were trained; how they paid for their expensive weapons, armor, and horses; and how the solemn vows they took influenced their behavior both on and off the battlefield. Discover the truth behind the countless legends of the Age of Chivalry in The Knight.

Based upon the renowned author's Cambridge lectures, the text simplifies the complexities of the basic elements of number theory and stimulates the reader to pursue further study.

Developed from the author's popular text, A Concise Introduction to the Theory of Numbers, this book provides a comprehensive initiation to all the major branches of number theory. Beginning with the rudiments of the subject, the author proceeds to more advanced topics, including elements of cryptography and primality testing, an account of number fields in the classical vein including properties of their units, ideals and ideal classes, aspects of analytic number theory including studies of the Riemann zeta-function, the prime-number theorem and primes in arithmetical progressions, a description of the Hardy-Littlewood and sieve methods from respectively additive and multiplicative number theory and an exposition of the arithmetic of elliptic curves. The book includes many worked examples, exercises and further reading. Its wider coverage and versatility make this book suitable for courses extending from the elementary to beginning graduate studies.

Collins Arabic Big Cat is a guided reading series for ages 3 to 11. The series is structured with reference to the learning progression of Arabic at nursery and primary schools researched especially for Collins. This carefully graded approach allows children to build up their reading knowledge of Arabic step by step. Level 13 books feature longer and more complex sentence structures. Sentences make use of a wide range of stylistic features which reflect progression in the teaching of Arabic grammar. Stories may also contain more literary, metaphorical language, including similes and other figurative language to help the reader create mental images, plus exaggeration for dramatic or humorous effect. Non-fiction titles contain longer, more formal sentences and a broader range of unfamiliar terms. What is blood? How does it help us? How does it travel around the body? Find answers to all these questions, learn what the heart and lungs do and see what the difference is between veins, arteries and capillaries in this fun non-fiction information book. Useful diagrams and fun cartoons make these difficult concepts accessible and interesting. A diagram of what blood is and how it travels around the body on pages 30 and 31 helps children to recap what they've read.

Developed from the author's popular text, A Concise Introduction to the Theory of Numbers, this book provides a comprehensive initiation to all the major branches of number theory. Beginning with the rudiments of the subject, the author proceeds to more advanced topics, including elements of cryptography and primality testing, an account of number fields in the classical vein including properties of their units, ideals and ideal classes, aspects of analytic number theory including studies of the Riemann zeta-function, the prime-number theorem and primes in arithmetical progressions, a description of the Hardy-Littlewood and sieve methods from respectively additive and multiplicative number theory and an exposition of the arithmetic of elliptic curves. The book includes many worked examples, exercises and further reading. Its wider coverage and versatility make this book suitable for courses extending from the elementary to beginning graduate studies.

As we grow up, our bodies grow and change with us. This information book by Teresa Heapy looks at the changes that happen - from our eyes and teeth to our height and strength. Blue/Band 4 books offer longer, repeated patterns with sequential events and integrated literary and natural language. Children can chart the changes our bodies go through from baby to six years old in the timeline on pages 14-15. Text type: An information book Curriculum links: Science: Moving and growing

Learn and master the fascinating game of Japanese Chess or "Shogi" with this expert guide and chess set. Japanese Chess: The Game of Shogi is the ultimate strategy guidebook for players of any skill level to improve their game and winning strategies. Played by millions around the world, Shogi is the uniquely Japanese variant of chess. It is the only version in which an opponent's captured piece can be dropped back onto the board as one's own. This makes for extremely exciting, dynamic gameplay in which momentum can quickly shift back and forth between players. Trevor Legett, expert player and longtime resident of Japan, gives you all the information you need to play the game, form its basic rules to winning tactics. Also included in this book are: Sample game and commentary Discussion of various opening strategies and game positions Explanation of how to read a Japanese score Fold-out Shogi board Sturdy paper playing pieces Japanese Chess features everything you need to get started playing this challenging and fun game!

A broad collection of Mr. Baker's poetic works, this book includes a little of everything; humor, thought-provoking stories or ideas, and inspirational works as well. If you like to laugh, are looking for some inspiration, enjoy stories that make you think, or just appreciate an impeccable sense of rhyme, then this is the book for you. Independently written and produced, it also contains some general commentary as to life in modern society, and the way to having a mind full of peace and happiness - or at the very least, rhyme.