This 1996 book introduces students to optimization theory & its use in economics & allied disciplines. The first of its three parts examines the existence of solutions to optimization problems in Rn & how these solutions may be identified. The second part explores how solutions to optimization problems change with changes in the underlying parameters & the last part provides an extensive description of the fundamental principles of finite- & infinite-horizon dynamic programming. Each chapter contains a number of detailed examples explaining both the theory & its applications for first-year masters & graduate students. Cookbook procedures are accompanied by a discussion of when such methods are guaranteed to be successful & equally importantly when they could fail. Each result in the main body of the text is also accompanied by a complete proof. A preliminary chapter & three appendices are designed to keep the book mathematically self-contained. ...

First Crochet is the ultimate beginners guide to one of the most popular needlecrafts. With the help of clear instructions & step-by-step photographs this book explains the basics from holding the crochet hook to weaving intricate patterns & leads you through the individual techniques. Over 20 projects are featured including both stylish items for the home such as cushions & a throw & gifts such as scarves bags & items for a baby. The comprehensive instructions include fold-out flaps giving key techniques for quick reference. From the first loop to the last seam this book is ideal for the beginner making mastering this skill easy & fun. Other titles in this series include: First Card Making (9781843406143) First Beading (9781843406136) & First Knits (9781843406112). ...

Nine hundred years ago the Pope initiated one of the most controversial episodes in Christian history by stating that God wanted European knights to wage a fierce & bloody war against Islam & recapture Jerusalem. Thus was the First Crusade born. Its story is compelling capable of inspiring awe through tales of bold adventure & revulsion through excesses of violence & barbarity while at the same time providing us with significant insights into medieval society morality & mentality. Tom Asbridge re-creates this fascinating period of history in a stunning narrative. Compelling & enlightening in equal measure & drawing on new research which has radically remoulded our understanding of the movement THE FIRST CRUSADE is a major work by an outstanding young historian. ...

When Rikki agrees to look after Emmas younger brother Elliot she reluctantly takes him to the beach for his surfing practise. Rikki takes great care to stay on dry land whilst Elliot is in the water after all she wouldnt want to turn into a mermaid in front of a beach full of people! But when Elliot gets into trouble Rikki has no choice but to jump in the sea & save him. Being rescued by Rikki has a strange effect on Elliot & he starts to develop a crush on her which Rikki isnt exactly pleased about! Will Elliot be able to keep her secret? ...

This colourful storybook is based on the number one & award-winning preschool childrens TV show on Channel 5 & Nickelodeon
- Peppa
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All the new Schofield & Sims dictionaries stand alone as excellent sources of reference. Supporting the Primary Framework for literacy the dictionaries & word books widen childrens vocabulary & improve their reading & writing skills. They have been carefully graded so that each builds on the earlier one
- thus providing a natural progression. The Schofield & Sims First Dictionary: contains more than 5000 headwords (plus short forms/plurals/alternative verb forms/comparatives/superlatives) gives help with some pronunciation features a special introduction for children What is a dictionary? gives concise instructions on How to use this book reinforces knowledge of the alphabet by providing an alphabet strip on each page & is supported by the First Dictionary & Thesaurus Activities (available separately).
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Together in one volume here are the first two Discworld novels featuring Rincewind the wizard & his Luggage Twoflower & innocent tourist & Cohen the Barbarian the worlds oldest & greatest hero. & not to mention Death whos not so bad once you get to know him. ...

For those of you who can’t wait until your 17th Birthday to get behind a wheel of a car then we have the perfect solution. First Drive is an exciting & safe way to learn to drive a car on a specially designated area.
You take control of the car on a safe area by the circuit where you will receive tuition in starting stopping & changing gear. Depending on location you may also have a classroom session covering basic roadcraft & car controls & try out the simulated urban road layout.

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This is a fantastic new edition of this bright & lively encyclopedia introducing young readers to the wonders of the animal world. Filled with information on mammals birds reptiles creepy-crawlies & waterlife this book answers such questions as ' Which animal has a tongue as long as its body?'; ' How does a whale breath?'; ' How does a snake see in the dark?'; & ' Why do zebras have stripes?'. Simple text amazing photographs detailed illustrations & a selection of exciting recommended websites make the subject easy to underst&. ...

This is a fantastic new edition of this bright & lively encyclopedia introducing young readers to the wonders of the past. Filled with historical information from the first people farmers cities & civilisations all the way to the World Wars & the modern day this book answers such questions as ' What were the pyramids for?'; ' Who lived in the Forbidden City?'; & ' When was the World Wide Web invented?'. Simple text amazing photographs detailed illustrations & a selection of exciting recommended websites make the subject easy to underst&. ...