The aim of a course in real analysis should be to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination.

    But this book will help you to do something that humans have only recently understood how to do: to count to regions that no animal has ever reached. By the end of this book you'll be able to count to infinity... and beyond. On our way to infinity we'll discover how the ancient Babylonians used their bodies to count to 60 (which gave us 60 minutes in the hour), how the number zero was only discovered in the 7th century by Indian mathematicians contemplating the void, why in China going into the red meant your numbers had gone negative and why numbers might be our best language for communicating with alien life.But for millennia, contemplating infinity has sent even the greatest minds into a spin. Then at the end of the nineteenth century mathematicians discovered a way to think about infinity that revealed that it is a number that we can count. Not only that. They found that there are an infinite number of infinities, some bigger than others. Just using the finite neurons in your brain and the finite pages in this book, you'll have your mind blown discovering the secret of how to count to infinity.Do something amazing and learn a new skill thanks to the Little Ways to Live a Big Life books!

    

    This supplement will cater to the requirements of students by covering all important topics of Laplace transformation, Matrices, Numerical Methods. Further enhanced is its usability by inclusion of chapter end questions in sync with student needs. Table of contents: 1. Basic Concepts 2. An Introduction to Modeling and Qualitative Methods 3. Classification of First-Order Differential Equations 4. Separable First-Order Differential Equations 5. Exact First-order Differential Equations 6. Linear First-Order Differential Equations 7. Applications of First-Order Differential Equations 8. Linear Differential Equations: Theory of Solutions 9. Second-Order Linear Homogeneous Differential Equations with Constant Coefficients 10. nth-Order Linear Homogeneous Differential Equations with Constant Coefficients 11. The Method of Undetermined Coefficients 12. Variation of Parameters 13. Initial-Value Problems for Linear Differential Equations 14. Applications of Second-Order Linear Differential Equations 15. Matrices 16. eAt 17. Reduction of Linear Differential Equations to a System of First-Order Equations 18. Existence and Uniqueness of Solutions 19. Graphical and Numerical Methods for Solving First-Order Differential Equations 20. Further Numerical Methods for Solving First-Order Differential Equations 21. Numerical Methods for Solving Second-Order Differential Equations Via Systems 22. The Laplace Transform 23. Inverse Laplace Transforms 24. Convolutions and the Unit Step Function 25. Solutions of Linear Differential Equations with Constant Coefficients by Laplace Transforms 26. Solutions of Linear?Systems by Laplace Transforms 27. Solutions of Linear Differential Equations with Constant Coefficients by Matrix Methods 28. Power Series Solutions of Linear Differential Equations with Variable Coefficients 29. Special Functions 30. Series Solutions N

    

    Alternating passages of extraordinarily lucid mathematical exposition with chapters of elegantly composed biography and history, Prime Obsession is a fascinating and fluent account of an epic mathematical mystery that continues to challenge and excite the world.

    The Art of Problem Solving, Volume 2, is the classic problem solving textbook used by many successful high school math teams and enrichment programs and have been an important building block for students who, like the authors, performed well enough on the American Mathematics Contest series to qualify for the Math Olympiad Summer Program which trains students for the United States International Math Olympiad team.Volume 2 is appropriate for students who have mastered the problem solving fundamentals presented in Volume 1 and are ready for a greater challenge. Although the Art of Problem Solving is widely used by students preparing for mathematics competitions, the book is not just a collection of tricks. The emphasis on learning and understanding methods rather than memorizing formulas enables students to solve large classes of problems beyond those presented in the book.Speaking of problems, the Art of Problem Solving, Volume 2, contains over 500 examples and exercises culled from such contests as the Mandelbrot Competition, the AMC tests, and ARML. Full solutions (not just answers!) are available for all the problems in the solution manual.

    With step-by-step instructions, illustrated crease patterns, and how-to photos, you'll learn to create these wonderful designs yourself. Eric's first book covers the fundamentals of origami tessellations, provides history, and describes simple beginning techniques with detailed illustrations and photographs. An extensive gallery showcases tessellations folded by the world's leading origami fine artists---inspiring you to experiment, innovate, and eventually create your own unique designs.

     "Such and entertaining read, Mark digs deep within himself and shows the true spirit of an ultra-runner. An inspiration to everyone showing it's all about mind over matter" Oh no I hear you sigh, another book promoting from fat to thin, from coach potato to elite athlete, from don't do this to you must do that, that running is awesome ! It’s not meant to be any of that – it’s simply meant to be an inspirational book, detailing a year in my life which happened to involve running. It covers why I took it up, what goals I set myself, what did I experience along the way, and what did I achieve at the end of it. It's not a complex read, it's meant to be short, motivational, inspiring, fun, easy going - just how I like to be seen myself. The end goal of the book isn't to encourage others to run; it's to share my experiences and to show that by setting goals, following the Churchill phrase "never, ever, give up", we can push limits and achieve things we might previously have thought impossible. I want this book to give thanks to all those who have helped me along the way, and to in turn motivate and inspire other people. If you enjoy it please look also try second book "If you want to run far, run together". If you didn't enjoy it please give me a second chance, like my running I keep improving. http://www.amazon.co.uk/want-together... All the best Mark

    Your ultimate tablet experience is just one step away - selecting the applications, or apps, that provide exactly the entertainment, education, and functionality you desire. And that's where this guide will help you: finding the gems in Amazon's App Store. The App Store contains a breathtaking array of games, entertainment, utilities, and tools. Even though there are more than 700 apps described in this book, the bar was set very high--only a small percentage of the available apps are profiled here. Only those apps that deliver outstanding functionality - and whose developers have demonstrated a serious commitment to their customers - have made it into this reference guide. Nobody enjoys spending time weeding through apps that don't deliver the promised features (or contain hidden features you'd rather not have installed on your Kindle Fire). So what are you waiting for? Let's get started! Contents: INTRODUCTION ► BOOKS AND COMICS ► COMMUNICATION ► COOKING APPS ► EDUCATION ► ENTERTAINMENT ► FINANCE ► GAMES ► HEALTH AND FITNESS ► KIDS ► LIFESTYLE ► MUSIC ► NAVIGATION ► NEWS & MAGAZINES ► NOVELTY ► PHOTOGRAPHY ► PODCASTS ► PRODUCTIVITY ► REAL ESTATE ► REFERENCE ► SHOPPING ► SOCIAL NETWORKING ► SPORTS ► TRAVEL ► UTILITIES ► WEATHER ► WEB BROWSERS BOOK LOVERS, REJOICE! INDEX

    With God’s help she believes healing and wholeness is within her grasp when she is propelled into a world of secrets and lies that threaten to unravel the very thread of hope she’s clung to in her struggle for peace.Mason Jenson is a self-made man who has been able to create his own fortune and build a home life with his wife and child void of God’s help…so he thinks, but as the world he knows balances precariously on the edge of destruction, who will he turn to?Elder Brandon Tatum’s, new in town, has prided himself on not making a move until he’s heard God, but even as he accepts his new position in ministry, he is faced with decisions of the heart; a whole new territory for him.Victoria Branchett has ruthlessly survived the death of her only daughter by fierce determination, but is the strength she has relied on enough to see her through a failing marriage and an ailing grandchild?This novel merges colorful characters facing one untimely circumstance after another, and mixes in a serious spin on how one views God, both inside and outside of His will. Of course, this is just the beginning. More people emerge from behind the scenes; some to help and others, to hurt. With everything happening simultaneously, one would almost question if God is able to truly fix and heal everything, and the readers will see just how far each person's faith (or lack thereof) will carry them.As they sift through the debris of past dreams and hopes left by the wayside they are offered a lifeline and given an opportunity to receive God’s Beauty for their ashes.If you could exchange every failed attempt at happiness for God’s peace…would you?

    The point in human history when we begin to enhance our own intelligence with the intelligent technology we're creating. As humanity merges with its machines, will we forget what it means to be human? Meet Haalee, the artificial intelligence charged with taking humanity on the road to the singularity. But will the future turn out the way she expects? Dawn of the Singularity is the intelligent, action-packed science fiction thriller you've been waiting for. From award-winning and best-selling scifi author David Simpson, get ready for the mystery, the thrills, and the adventure of the future to come.

    Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. Intended for undergraduate courses in abstract algebra, it is suitable for junior- and senior-level math majors and future math teachers. This second edition features additional exercises to improve student familiarity with applications. An introductory chapter traces concepts of abstract algebra from their historical roots. Succeeding chapters avoid the conventional format of definition-theorem-proof-corollary-example; instead, they take the form of a discussion with students, focusing on explanations and offering motivation. Each chapter rests upon a central theme, usually a specific application or use. The author provides elementary background as needed and discusses standard topics in their usual order. He introduces many advanced and peripheral subjects in the plentiful exercises, which are accompanied by ample instruction and commentary and offer a wide range of experiences to students at different levels of ability.

    These noteworthy accounts of the lives of David Hilbert and Richard Courant are closely related: Courant's story is, in many ways, seen as the sequel to the story of Hilbert. Originally published to great acclaim, both books explore the dramatic scientific history expressed in the lives of these two great scientists and described in the lively, nontechnical writing style of Contance Reid.

    It can urge the reader to explore new methodologies to have maximum fun with numbers, and opt for a higher course in mathematics. The book was specifically designed to help the student community, and develop a strong affinity towards problem solving.the book offers many complicated, and interesting challenges for the user, keeping them engaged throughout. A large number of solved problems are also included in challenge and thrill of pre-college mathematics, to give readers an insight into the subject. The book can be an eye-opener for school students of class 7 and above. The materials given in the book are powerful enough to help them develop a strong interest for the subject. The concepts are explained in a simple and comprehensive manner, providing them with a good understanding of mathematical fundamentals.what makes the book distinct is its detailed sections on geometry, that can improve the reasoning skills of students. There are also detailed accounts on algebra and trigonometry, enhancing the competitive ability of the users. The topics such as combinatorics, number theory, and probability are also explained in detail, in the book. Each chapter was designed with the intention of motivating students to appreciate the excitement that mathematical problems can provide. Published in 2003 by new age international publishers, the book is available in paperback. Key features: the book includes a collection of more than 300 solved numerical problems, compiled from various national, as well as international mathematical olympiads.it is widely recommended by students and teachers, alike as an essential preparatory book for those writing competitive examinations.