This book discusses real sequences and series, continuity, functions of several variables, elementary and implicit functions, Riemann and Riemann-Stieltjes integrals, and Lebesgue integrals.

    Practical Algebra is an easy andfun-to-use workout program that quickly puts you in command of allthe basic concepts and tools of algebra. With the aid of practical, real-life examples and applications, you'll learn: * The basic approach and application of algebra to problemsolving * The number system (in a much broader way than you have known itfrom arithmetic) * Monomials and polynomials; factoring algebraic expressions; howto handle algebraic fractions; exponents, roots, and radicals;linear and fractional equations * Functions and graphs; quadratic equations; inequalities; ratio, proportion, and variation; how to solve word problems, andmore Authors Peter Selby and Steve Slavin emphasize practical algebrathroughout by providing you with techniques for solving problems ina wide range of disciplines--from engineering, biology, chemistry, and the physical sciences, to psychology and even sociology andbusiness administration. Step by step, Practical Algebra shows youhow to solve algebraic problems in each of these areas, then allowsyou to tackle similar problems on your own, at your own pace.Self-tests are provided at the end of each chapter so you canmeasure your mastery.

    Among the old chestnuts he cracks wide open are the following classics: Knights and knaves The monk and the mountain The dominoes and the chessboard The unexpected hanging The Tower of HanoiUsing real-world analogies, infectious humor, and a fresh approach, this deceptively simple volume will challenge, amuse, enlighten, and surprise even the most experienced puzzle solver.

    However, the techniques that you shall find in this book have been tested and used (not only by the author but by countless other people) in examinations time and again.Many techniques mentioned in other books are pretty impractical and sometimes completely unusable. This book is not a package of magic. It is rather a package of methods that if practiced and persevered with can churn up magical results! This book could be a great resource for various competitive examinations and students in middle and senior school. It could help the reader in myriad ways depending upon his or her needs and scope for practice. At the same time one could figure out as to which technique would work for one and which would not, again depending upon one’s set of circumstances and needs. By reading this book, the students will be able to:(a) learn quicker methods by observing some simple techniques;compare various techniques available on each topic;(b) know the limitations of each technique;(c) save some precious minutes in various competitive and school examinations by employing the quick calculation techniques;(d) develop their own tools in the field of quick calculations.

    The Clay Mathematics Institute is offering a prize of $1 million to anyone who can discover a general solution to the problem. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The key to the conjecture lies in elliptic curves, which are cubic equations in two variables. These equations may appear simple, yet they arise from some very deep--and often very mystifying--mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and in the process venture to the very frontiers of modern mathematics. Along the way, they give an informative and entertaining introduction to some of the most profound discoveries of the last three centuries in algebraic geometry, abstract algebra, and number theory. They demonstrate how mathematics grows more abstract to tackle ever more challenging problems, and how each new generation of mathematicians builds on the accomplishments of those who preceded them. Ash and Gross fully explain how the Birch and Swinnerton-Dyer Conjecture sheds light on the number theory of elliptic curves, and how it provides a beautiful and startling connection between two very different objects arising from an elliptic curve, one based on calculus, the other on algebra.

     Building Thinking Classrooms in Mathematics, Grades K-12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guideProvides the what, why, and how of each practice Includes firsthand accounts of how these practices foster thinking Offers a plethora of macro moves, micro moves, and rich tasks to get started

    When his rodeo buddy, Remington, enlists him to help out at his family’s cowboy camp for the summer, Lucas seizes the opportunity. The camp’s resident physical therapist, Georgia Nathan, might hold the key to Lucas’s future in the rodeo – unless she becomes the one thing that holds him back. Georgia is drop-dead gorgeous, and the more time he spends with Georgia, the more his life on the rodeo circuit seems to lose its appeal…But single mom Georgia has had it with handsome cowboys—and Lucas is certainly easy on the eyes. After leaving her abusive husband, she wants nothing to do with men, even this sexy cowboy. But it’s hard to avoid Lucas when he’s living right on top of her, and it’s even harder to avoid how her heart speeds up when he’s near. Though she tries to put up a chilly façade, it’s getting more and more difficult when he makes her so hot and bothered. And, oh my, his kisses…Georgia is still reeling from her break up, but what if Lucas could be the one who heals her broken heart?

    With only one failed relationship to his name, Dougie is now middle-aged, single, and close to giving up his quest to find love.Then, after the strangest of incidents at work, the unthinkable happens – Dougie is propositioned by a succession of attractive women. Miraculously, a man who hasn’t shared so much as a kiss in twenty-odd years is suddenly catnip to members of the opposite sex. After a lifetime of ridicule and rejection, pain and heartbreak, Dougie can scarcely believe his sudden change of fortune.Armed with his newfound superpower, Dougie’s only remaining challenge is to decide which of his many admirers is Miss Right. Then, he can settle down, get married and live happily ever after.As the most sought-after bachelor in town, what could possibly go wrong with Dougie’s plan?Quite a lot, as it transpires.

    No, hang on, let's make this interesting. Between zero and infinity. Even if you stick to the whole numbers, there are a lot to choose from - an infinite number in fact. Throw in decimal fractions and infinity suddenly gets an awful lot bigger (is that even possible?) And then there are the negative numbers, the imaginary numbers, the irrational numbers like pi which never end. It literally never ends.The world of numbers is indeed strange and beautiful. Among its inhabitants are some really notable characters - pi, e, the "imaginary" number i and the famous golden ratio to name just a few. Prime numbers occupy a special status. Zero is very odd indeed: is it a number, or isn't it?How Numbers Work takes a tour of this mind-blowing but beautiful realm of numbers and the mathematical rules that connect them. Not only that, but take a crash course on the biggest unsolved problems that keep mathematicians up at night, find out about the strange and unexpected ways mathematics influences our everyday lives, and discover the incredible connection between numbers and reality itself. ABOUT THE SERIESNew Scientist Instant Expert books are definitive and accessible entry points to the most important subjects in science; subjects that challenge, attract debate, invite controversy and engage the most enquiring minds. Designed for curious readers who want to know how things work and why, the Instant Expert series explores the topics that really matter and their impact on individuals, society, and the planet, translating the scientific complexities around us into language that's open to everyone, and putting new ideas and discoveries into perspective and context.

    Worked examples and exercises support the text. An ELBS/LPBB edition is available.

    The specialities of each individual number, from zero to nine, and the little mathematical tricks as shown by Shakuntala Devi, all combine to make the reader learn to befriend numbers and excel at maths.

    

    You can use these ideas and methods as-is, or better yet, tweak them and create your own enticing educational meals. The message the authors share is that, with imagination and preparation, every teacher can be a Classroom Chef.

    He and a small support crew have been cashing in on the video craze with phenomenal, hair-raising exploits for years.Their latest undertaking is way beyond anything they’ve ever done. It’s extremely dangerous and, worse, highly illegal. Never would Jackson have imagined those risks to be the least of his worries.After stumbling over the archaeological find of the century, Jackson and a local anthropologist suddenly find themselves transported to a different time and place. It’s a world of unbelievable sights, unimaginable marvels, and barbaric practices that violate all that is human. Despite treading lightly as they deal with this new reality, their intrusion results in unintended consequences for the world they left. Making it right is their top priority, along with surviving the ordeal. It may not be possible to do both.Can they clean up the mess they’ve made? Or will the attempt just make it worse?

    Covering number theory, algebra, analysis, Euclidean geometry, and analytic geometry, Solving Mathematical Problems includes numerous exercises and model solutions throughout. Assuming only a basic level of mathematics, the text is ideal for students of 14 years and above in pure mathematics.