Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics.Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics? Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts.Brought up to date with a new chapter by Ian Stewart, What is Mathematics? Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved.Formal mathematics is like spelling and grammar - a matter of the correct application of local rules. Meaningful mathematics is like journalism - it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature - it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature - it opens a window onto the world of mathematics for anyone interested to view.

    You'll find complete coverage of all exam objectives, including key topics such as project planning, execution, delivery, closure, and others. CompTIA's Project+ is the foundation-level professional exam in the complex world of project management; certified project managers often choose to go on and obtain their Project Management Professional (PMP) certifications as well Provides complete coverage of all exam objectives for CompTIA's first update to the Project+ exam in six years Covers project planning, execution, delivery, change, control, communication, and closure Demonstrates and reinforces exam preparation with practical examples and real-word scenarios Includes a CD with Sybex test engine, practice exams, electronic flashcards, and a PDF of the book Approach the new Project+ exam with confidence with this in-depth study guide! Reviews

    If you're a reasonably proficient programmer who can think logically, you have all the background you'll need. Stepanov and Rose introduce the relevant abstract algebra and number theory with exceptional clarity. They carefully explain the problems mathematicians first needed to solve, and then show how these mathematical solutions translate to generic programming and the creation of more effective and elegant code. To demonstrate the crucial role these mathematical principles play in many modern applications, the authors show how to use these results and generalized algorithms to implement a real-world public-key cryptosystem. As you read this book, you'll master the thought processes necessary for effective programming and learn how to generalize narrowly conceived algorithms to widen their usefulness without losing efficiency. You'll also gain deep insight into the value of mathematics to programming--insight that will prove invaluable no matter what programming languages and paradigms you use. You will learn aboutHow to generalize a four thousand-year-old algorithm, demonstrating indispensable lessons about clarity and efficiencyAncient paradoxes, beautiful theorems, and the productive tension between continuous and discreteA simple algorithm for finding greatest common divisor (GCD) and modern abstractions that build on itPowerful mathematical approaches to abstractionHow abstract algebra provides the idea at the heart of generic programmingAxioms, proofs, theories, and models: using mathematical techniques to organize knowledge about your algorithms and data structuresSurprising subtleties of simple programming tasks and what you can learn from themHow practical implementations can exploit theoretical knowledge

    It is through an understanding of service design that truly service-oriented solution logic can be created in support of achieving the strategic goals associated with SOA and service-oriented computing. Bestselling SOA author Thomas Erl guides you through a comprehensive, insightful, and visually rich exploration of the service-orientation design paradigm, revealing exactly how services should and should not be designed for real-world SOA. concise introduction to SOA and service-oriented computing concepts and benefits* A thorough exploration of the service-orientation design paradigm as represented by eight specific design principles* A comparison of service-oriented and object-oriented concepts and principles and a clear definition of what qualifies as service-oriented logic* Detailed coverage of four different forms of service-related design granularity* An exhaustive examination of service contracts, with an emphasis on standardization, abstraction, and the utilization of WS-Policy, XML Schema, and WSDL definitions* A comprehensive study of various forms of service-related coupling with an emphasis on the requirements to attaining a suitable level of loose coupling.* achieve truly agnostic and reusable service logic* Techniques for maximizing service reliability, scalability, and performance by instilling high levels of autonomy and emphasizing stateless design* Approaches for positioning services as highly discoverable and interpretable enterprise resources* Unprecedented coverage of how to design services for participation in complex compositions* The definition of concrete links between each design principle and the strategic goals and benefits of SOA and service-oriented computing* Numerous cross-references to key design patterns documented separately in SOA: Design Patterns www.soabooks.com supplements this book with a variety of resources, including content updates, corrections, and sample chapters from other books. www.soaspecs.com provides further support by establishing a descriptive portal to industry specifications referenced in all of the series titles. www.soaglossary.com establishes a master glossary for all SOA titles in this series. www.prenhallprofessional.comwww.soabo... Foreword Chapter 1: OverviewChapter 2: Case Study Background Pa

    It covers such areas as biotechnology and biomedical engineering.

    He reveals how they make it work – from how to downsize to how to support yourself. This is not your typical RVing book that rehashes common knowledge. Jerry Minchey lives full-time in his motorhome, and he breaks the mold about RV living with this highly original book. The appeal and the dream of the RV lifestyle have not changed much since the first RVs were introduced shortly after 1900. Henry Ford and Thomas Edison used to take their motorhomes and go on trips together back in 1910. They loved the adventure. Jerry Minchey's brutally honest descriptions of the RV lifestyles described in this book will answer your most pressing questions as well as answer questions you probably never even thought to ask.You may find that retiring and living the RV lifestyle is just what you want to do. After all, the RV lifestyle is the most enjoyable and least expensive way to retire. See actual logs of what RVers are really spending. I think you'll be pleasantly surprised at the numbers. You'll find that you can live the RV lifestyle even if your only income is your Social Security check. In this book you'll also learn: What's It Like Living Full Time in an RV? Can I Afford the RV Lifestyle? What Kind of Rig Should I get? Can I Drive an RV? How Much Will an RV Cost? Pitfalls to Avoid & Buyer Checklist Planning for the Leap into Full-time RVing How to Get Rid of Your Stuff Pets Make Great Travelers – If You Know a Few Tips and Secrets What About Being Away From Family and Friends? How to Find the Best Campgrounds Boondocking – The Art of Camping for Free Towing a Car – 4 Wheels Down or a Dolly? Getting Your Mail, Voting, Where is Your Legal Residence, and Other Logistics The Internet – How to Stay Connected While on the Road Healthcare on the Road – With up-to-date 2016 Information Ways to Make Money With or Without a Computer The Emotional Aspects of the Full-time RV Lifestyle And a Whole Lot More Freedom, adventure, fun, stress-free, and relaxing are words RV owners frequently use to describe why they enjoy the RV lifestyle, and after reading this book, you'll understand why they feel that way. To say this book is rare would be a grave understatement. This book provides a unique opportunity to peer into the most intimate details of living the exciting full-time RVing lifestyle. For a real behind-the-scenes look at one of the most enjoyable and least expensive ways to retire add Motorhome and RV Retirement Living to your must-read list.

    

    Pulled from the cartography archives of Starfleet Academy, these beautifully reproduced maps provide a rare opportunity to view the expanse of Federation space (and beyond) through the multiple lenses of the Galaxy's key players. The maps include an ancient Vulcan map, a Klingon Empire map from the pre-Organian Peace Treaty era (in the native Klingon), an official Romulan government map of the Empire, a native Cardassian Union map from the Bajor occupation, along with Federation maps from the modern era. Housed in a handsome clamshell case and paired with a fully-illustrated reference book providing detailed information on planets, systems, and topography, this exclusive collection showcases the Star Trek universe like never before.Product Features:A tri-fold clamshell case48-page 8” x 10” hardcover bookTen 24” x 36” removable maps

    Full of insights, arguments and philosophical perspectives, the book covers an amazing array of topics. Beginning in antiquity with Democritus, it progresses through logic and set theory, computability and complexity theory, quantum computing, cryptography, the information content of quantum states and the interpretation of quantum mechanics. There are also extended discussions about time travel, Newcomb's Paradox, the anthropic principle and the views of Roger Penrose. Aaronson's informal style makes this fascinating book accessible to readers with scientific backgrounds, as well as students and researchers working in physics, computer science, mathematics and philosophy.

    This comprehensive book will guide readers through CISSP exam topics, including: Access ControlApplication Development SecurityBusiness Continuity and Disaster Recovery PlanningCryptographyInformation Security Governance and Risk Management Legal, Regulations, Investigations and ComplianceOperations SecurityPhysical (Environmental) SecuritySecurity Architecture and DesignTelecommunications and Network SecurityThis study guide will be complete with 100% coverage of the exam objectives, real world scenarios, hands-on exercises, and challenging review questions, both in the book as well via the exclusive Sybex Test Engine.

    Since then I have had three best sellers in the short romance category and am now making over $1,000 a month. I went from making $10.64 for January (my first month) to making $1297.72 for March (my third month). I am projected, by looking at sales, to make $1800+ for April (my fourth month). This book is a tell-all of exactly what I did and how I did it. This is a short book. I guarantee there is no fluff here. I get straight to the point and tell you exactly what I did. I truly want to help you become a bestselling author and help you make money writing books. Please, I encourage you to follow the steps outlined in this book. Happy Writing! #1 bestselling short romance author Hope Ford writes short, steamy, sweet romances. There is always an alpha male (because who doesn’t love an alpha male) and a woman he makes his queen. Sit back, grab a glass of wine, and get lost in this happily ever after story – that’s also a little naughty.

    The complexity of nature's shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry, the geometry of fractal shapes.Now that the field has expanded greatly with many active researchers, Mandelbrot presents the definitive overview of the origins of his ideas and their new applications. The Fractal Geometry of Nature is based on his highly acclaimed earlier work, but has much broader and deeper coverage and more extensive illustrations.

    In this new, innovative overview textbook, the authors put special emphasis on the deep ideas of mathematics, and present the subject through lively and entertaining examples, anecdotes, challenges and illustrations, all of which are designed to excite the student's interest. The underlying ideas include topics from number theory, infinity, geometry, topology, probability and chaos theory. Throughout the text, the authors stress that mathematics is an analytical way of thinking, one that can be brought to bear on problem solving and effective thinking in any field of study.

    Learn how to make entire meals from starters to desserts, all served on sticks! All projects come from Instructables.com, are written by carnival food experts, and contain pictures for each step so you can easily do it yourself.It’s better on a stick!

    Offers a review of the examination that includes test-taking strategies, discussion of relevant concepts, practice questions, and detailed answers.