It provides a simple, thorough survey of elementary topics, starting with set theory and advancing to metric and topological spaces, connectedness, and compactness. 1975 edition.

    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

    This book picks you up at the very beginning and guides you through the foundations of algebra using lots of examples and no-nonsense explanations. Each chapter contains well-chosen exercises as well as all the solutions. No prior knowledge is required. Topics include: Exponents, Brackets, Linear Equations and Quadratic Equations. For a more detailed table of contents, use the "Look Inside" feature. From the author of "Great Formulas Explained" and "Physics! In Quantities and Examples".

    Companies that think winning their business is a simple matter of creating a Twitter account and applying outdated notions of "cool" to their advertising are due for a rude awakening. "Marketing to Millennials "is both an enlightening look at this generation of consumers and a practical plan for earning their trust and loyalty. Based on original market research, the book reveals the eight attitudes shared by most Millennials, as well as the new rules for engaging them successfully. Millennials: - Value social networking and aren't shy about sharing opinions - Refuse to remain passive consumers--they expect to participate in product development and marketing - Demand authenticity and transparency - Are highly influential--swaying parents "and" peers - Are not all alike--understanding key segments is invaluable Featuring expert interviews and profiles of brands doing Millennial marketing right, this eye-opening book is the key to persuading the customers who will determine the bottom line for decades to come.

    Politicians and marketers present shoddy evidence for dubious claims all the time. But smart people make mistakes too, and when it comes to statistics, plenty of otherwise great scientists--yes, even those published in peer-reviewed journals--are doing statistics wrong."Statistics Done Wrong" comes to the rescue with cautionary tales of all-too-common statistical fallacies. It'll help you see where and why researchers often go wrong and teach you the best practices for avoiding their mistakes.In this book, you'll learn: - Why "statistically significant" doesn't necessarily imply practical significance- Ideas behind hypothesis testing and regression analysis, and common misinterpretations of those ideas- How and how not to ask questions, design experiments, and work with data- Why many studies have too little data to detect what they're looking for-and, surprisingly, why this means published results are often overestimates- Why false positives are much more common than "significant at the 5% level" would suggestBy walking through colorful examples of statistics gone awry, the book offers approachable lessons on proper methodology, and each chapter ends with pro tips for practicing scientists and statisticians. No matter what your level of experience, "Statistics Done Wrong" will teach you how to be a better analyst, data scientist, or researcher.

    Drawing heavily on the author's own real-world experiences, the book stresses design and analysis. Coverage is divided into two parts, the first being a general guide to techniques for the design and analysis of computer algorithms. The second is a reference section, which includes a catalog of the 75 most important algorithmic problems. By browsing this catalog, readers can quickly identify what the problem they have encountered is called, what is known about it, and how they should proceed if they need to solve it. This book is ideal for the working professional who uses algorithms on a daily basis and has need for a handy reference. This work can also readily be used in an upper-division course or as a student reference guide. THE ALGORITHM DESIGN MANUAL comes with a CD-ROM that contains: * a complete hypertext version of the full printed book. * the source code and URLs for all cited implementations. * over 30 hours of audio lectures on the design and analysis of algorithms are provided, all keyed to on-line lecture notes.

    Parts cover: Windows 8.1 Stuff Everybody Thinks You Already Know - an introduction to the dual interfaces, basic mechanics, file storage, and instruction on how to get the free upgrade to Windows 8.1.Working with Programs, Apps and Files - the basics of finding and launching apps, getting help, and printingGetting Things Done on the Internet - instructions for connecting a Windows 8.1 device, using web and social apps, and maintaining privacyCustomizing and Upgrading Windows 8.1 - Windows 8.1 offers big changes to what a user can customize on the OS. This section shows how to manipulate app tiles, give Windows the look you in, set up boot-to-desktop capabilities, connect to a network, and create user accounts.Music, Photos and Movies - Windows 8.1 offers new apps and capabilities for working with onboard and online media, all covered in this chapterHelp! - includes guidance on how to fix common problems, interpret strange messages, move files to a new PC, and use the built-in help systemThe Part of Tens - quick tips for avoiding common annoyances and working with Windows 8.1 on a touch device

    The nature of football continually changes, which means its analysis must also keep pace. This book is for students, thinkers, and theorists of the game.'Ted Hopkins - Carlton premiership player, author, and co-founder of Champion Data. Australian Rules football has been described as the most data-rich sport on Earth. Every time and everywhere an AFL side takes to the field, it is shadowed by an army of statisticians and number crunchers. The information they gather has become the sport's new language and currency. ABC journalist James Coventry, author of the acclaimed Time and Space, has joined forces with a group of razor-sharp analysts to decipher the data, and to use it to question some of football's long-held truisms. Do umpires really favour the home side? Has goal kicking accuracy deteriorated? Is Geelong the true master of the draft? Are blonds unfairly favoured in Brownlow medal voting? And are Victorians the most passionate fans? Through a blend of entertaining storytelling and expert analysis, this book will answer more questions about footy than you ever thought to ask. Praise for Time and Space:'Brilliant, masterful' - The Guardian'Arguably one of the most important books yet written on Australian Rules football.' - Inside History'Should find its way into the hands of every coach.' - AFL Record

    This is done in a way that is not only easy to understand, but is actually fun! Professors and engineers, with high school and college students following closely, comprise the largest percentage of our readers. It is a must-have for anyone interested in music, mathematics, physics, engineering, or complex science. Dr. Yoichiro Nambu, 2008 Nobel Prize Winner in Physics, served as a senior adviser to the English version of Who is Fourier? A Mathematical Adventure.

    Numerous case studies, followed by the author's analysis of the cases, helps you structure your thinking and apply professional standards to complex cases. Coverage includes ethics, legal research, and the professional literature in major topics in ethics (such as consent, confidentiality, and multiple relationships) and in applied settings (such as community mental health, private practice, schools, and teaching/research).

    Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be reasoned out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.

    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.

    The R language is recognised as one of the most powerful and flexible statistical software packages, and it enables the user to apply many statistical techniques that would be impossible without such software to help implement such large data sets.

    Thanks to it, you will be able to UNLEASH the full power of your Amazon Echo, Echo Dot and Amazon Tap. AND you will find my email address at the end of the book, so feel free to ask me any questions you might have about Alexa. What is Amazon Echo Dot and Alexa Let me help you figure out what this this exciting technology is all about, so you can enjoy it too! Amazon Echo is a speaker connected to the internet that you can control with your voice. Alexa is the built-in vocal assistant of Amazon Echo. Alexa lets you play music, control your lights, ask for the weather and more. What you will learn: Step-by-step instructions on how to set up your device Get to know about all the things that Amazon Echo can do Get customized News, Traffic and Weather updates Connect your Google Calendar to your device Everything you need to know about Alexa in a single HIGH-QUALITY book Stream music from your favorite audio sources: iPhone, Android, Spotify, Amazon Music, Pandora, iHeartRadio, TuneIn Get ACTIONABLE ADVICE on how to build your smart home Control your lights, TV and room temperature with your voice Explore the complete list of Alexa-enabled devices organized per category Have fun by playing with 500 Easter Eggs Learn How IFTTT and Yonomi help you to better control your home Get to know the 20 most useful Alexa Skills Learn how Amazon Echo was created Written By An Alexa Lover For (future) Alexa Lovers How to troubleshoot your Echo Learn how Alexa works behind the scenes Explore the future of Alexa And much, much more! This is the only Amazon Echo book you will ever need Get your copy today! This book will save you hours figuring out how Echo works. I am sharing all my hacks so you can go from Beginner to Expert in an hour. I wish that upon reading this book, you will realise this exciting times that we live in. That you will see all the possibilities that the Amazon Echo has to offer. The time for innovation is now, and it is up to you to enjoy it now. Through the book, you will come to see Echo for what it is and what it can be. I am exploring in depth numerous topics such as Playing Music, Building your Smart Home, Using Alexa Skills and more. This book will help save you many hours trying to figure out what the Echo can do. Bonus Sign up to my free weekly newsletter to get the best new Alexa Skills in your inbox. Table of Contents 1. Preface 2. The Genesis of Amazon Echo 3. How Does Alexa Work? 4.

    Essentially, you make an initial guess, and then get more data to improve it. Bayes Theorem, or Bayes Rule, has a ton of real world applications, from estimating your risk of a heart attack to making recommendations on Netflix But It Isn't That Complicated This book is a short introduction to Bayes Theorem. It is only 15 pages long, and is intended to show you how Bayes Theorem works as quickly as possible. The examples are intentionally kept simple to focus solely on Bayes Theorem without requiring that the reader know complicated probability distributions. If you want to learn the basics of Bayes Theorem as quickly as possible, with some easy to duplicate examples, this is a good book for you.