Shows how any proof can be understood as a sequence of techniques. Covers the full range of techniques used in proofs, such as the contrapositive, induction, and proof by contradiction. Explains how to identify which techniques are used and how they are applied in the specific problem. Illustrates how to read written proofs with many step-by-step examples. Includes new, expanded appendices related to discrete mathematics, linear algebra, modern algebra and real analysis.

    It is impossible to understand the spread of an epidemic, a computer virus, large-scale blackouts, or massive extinctions without taking into account the network structure that underlies all these phenomena. In this Very Short Introduction, Guido Caldarelli and Michele Catanzaro discuss the nature and variety of networks, using everyday examples from society, technology, nature, and history to explain and understand the science of network theory. They show the ubiquitous role of networks; how networks self-organize; why the rich get richer; and how networks can spontaneously collapse. They conclude by highlighting how the findings of complex network theory have very wide and important applications in genetics, ecology, communications, economics, and sociology.

    Data Science For Dummies is the perfect starting point for IT professionals and students interested in making sense of their organization’s massive data sets and applying their findings to real-world business scenarios. From uncovering rich data sources to managing large amounts of data within hardware and software limitations, ensuring consistency in reporting, merging various data sources, and beyond, you’ll develop the know-how you need to effectively interpret data and tell a story that can be understood by anyone in your organization. Provides a background in data science fundamentals before moving on to working with relational databases and unstructured data and preparing your data for analysis Details different data visualization techniques that can be used to showcase and summarize your data Explains both supervised and unsupervised machine learning, including regression, model validation, and clustering techniques Includes coverage of big data processing tools like MapReduce, Hadoop, Dremel, Storm, and Spark It’s a big, big data world out there – let Data Science For Dummies help you harness its power and gain a competitive edge for your organization.

    It quickly covers the essentials, and then focuses on the how-to instead of theory. It covers:Fundamental concepts such as circuits, schematics, voltage, safety, and more Tools of the trade, including multimeters, oscilloscopes, logic probes, and more Common electronic components (e.g. resistors, capacitors, transistors) Making circuits using breadboards and printed circuit boards Microcontrollers (implementation and programming) Author Gordon McComb has more than a million copies of his books in print, including his bestselling Robot Builder's Bonanza and VCRs and Camcorders For Dummies. He really connects with readers! With lots of photos and step-by-step explanations, this book will have you connecting electronic components in no time! In fact, it includes fun ideas for great projects you can build in 30 minutes or less. You'll be amazed! Then you can tackle cool robot projects that will amaze your friends! (The book gives you lots to choose from.)Students will find this a great reference and supplement to the typical dry, dull textbook. So whether you just want to bone up on electronics or want to get things hooked up, souped up, or fixed up, ...whether you're interested in fixing old electronic equipment, understanding guitar fuzz amps, or tinkering with robots, Electronics For Dummies is your quick connection to the stuff you need to know.

    “Kelly” Johnson led the design of such crucial aircraft as the P-38 and Constellation, but he will be more remembered for the U-2 and SR-71 spy planes. His extraordinary leadership of the Lockheed “Skunk Works” cemented his reputation as a legendary figure in American aerospace management.

    Others who have no intention of ever studying the subject have this notion that calculus is impossibly difficult unless you happen to be a direct descendant of Einstein. Well, the good news is that you can master calculus. It's not nearly as tough as its mystique would lead you to think. Much of calculus is really just very advanced algebra, geometry, and trig. It builds upon and is a logical extension of those subjects. If you can do algebra, geometry, and trig, you can do calculus.Calculus For Dummies is intended for three groups of readers:Students taking their first calculus course - If you're enrolled in a calculus course and you find your textbook less than crystal clear, this is the book for you. It covers the most important topics in the first year of calculus: differentiation, integration, and infinite series.Students who need to brush up on their calculus to prepare for other studies - If you've had elementary calculus, but it's been a couple of years and you want to review the concepts to prepare for, say, some graduate program, Calculus For Dummies will give you a thorough, no-nonsense refresher course.Adults of all ages who'd like a good introduction to the subject - Non-student readers will find the book's exposition clear and accessible. Calculus For Dummies takes calculus out of the ivory tower and brings it down to earth. This is a user-friendly math book. Whenever possible, the author explains the calculus concepts by showing you connections between the calculus ideas and easier ideas from algebra and geometry. Then, you'll see how the calculus concepts work in concrete examples. All explanations are in plain English, not math-speak. Calculus For Dummies covers the following topics and more:Real-world examples of calculus The two big ideas of calculus: differentiation and integration Why calculus works Pre-algebra and algebra review Common functions and their graphs Limits and continuity Integration and approximating area Sequences and series Don't buy the misconception. Sure calculus is difficult - but it's manageable, doable. You made it through algebra, geometry, and trigonometry. Well, calculus just picks up where they leave off - it's simply the next step in a logical progression.

    Explaining why the whole is sometimes smarter than the sum of its parts, Johnson presents surprising examples of feedback, self-organization, and adaptive learning. How does a lively neighborhood evolve out of a disconnected group of shopkeepers, bartenders, and real estate developers? How does a media event take on a life of its own? How will new software programs create an intelligent World Wide Web? In the coming years, the power of self-organization -- coupled with the connective technology of the Internet -- will usher in a revolution every bit as significant as the introduction of electricity. Provocative and engaging, Emergence puts you on the front lines of this exciting upheaval in science and thought.

     Determined to secure a quick, decisive victory on the World War II battlefields, Adolf Hitler adopted an attack plan that combined tools with technique- the formidable Panzer divisions. Self-contained armored units able to operate independently, the Panzers became the German army's fighting core as well as its moral focus, establishing an entirely new military doctrine. In Hitler's Panzers, renowned World War II scholar Dennis Showalter presents a comprehensive and unbiased study of Nazi Germany's armored forces. By delving deeply into a detailed history of the theory, strategy, myths, and realities of Germany's technologically innovative approach to warfare, Showalter provides a look at the military lessons of the past, and a speculation on how the Panzer ethos may be implemented in the future of international conflict.

    From the physics of energy to climate change, and from spy technology to quantum computers, this is the only textbook to focus on the modern physics affecting the decisions of political leaders and CEOs and, consequently, the lives of every citizen. How practical are alternative energy sources? Can satellites really read license plates from space? What is the quantum physics behind iPods and supermarket scanners? And how much should we fear a terrorist nuke? This lively book empowers students possessing any level of scientific background with the tools they need to make informed decisions and to argue their views persuasively with anyone--expert or otherwise.Based on Richard Muller's renowned course at Berkeley, the book explores critical physics topics: energy and power, atoms and heat, gravity and space, nuclei and radioactivity, chain reactions and atomic bombs, electricity and magnetism, waves, light, invisible light, climate change, quantum physics, and relativity. Muller engages readers through many intriguing examples, helpful facts to remember, a fun-to-read text, and an emphasis on real-world problems rather than mathematical computation. He includes chapter summaries, essay and discussion questions, Internet research topics, and handy tips for instructors to make the classroom experience more rewarding.Accessible and entertaining, "Physics and Technology for Future Presidents" gives students the scientific fluency they need to become well-rounded leaders in a world driven by science and technology.Professors: A supplementary Instructor's Manual is available for this book. It is restricted to teachers using the text in courses. For information on how to obtain a copy, refer to: http: //press.princeton.edu/class_use/solutio...

    Major retailers are predicting everything from when their customers are pregnant to when they want a new pair of Chuck Taylors. It's a brave new world where seemingly meaningless data can be transformed into valuable insight to drive smart business decisions.But how does one exactly do data science? Do you have to hire one of these priests of the dark arts, the "data scientist," to extract this gold from your data? Nope.Data science is little more than using straight-forward steps to process raw data into actionable insight. And in Data Smart, author and data scientist John Foreman will show you how that's done within the familiar environment of a spreadsheet. Why a spreadsheet? It's comfortable! You get to look at the data every step of the way, building confidence as you learn the tricks of the trade. Plus, spreadsheets are a vendor-neutral place to learn data science without the hype. But don't let the Excel sheets fool you. This is a book for those serious about learning the analytic techniques, the math and the magic, behind big data.Each chapter will cover a different technique in a spreadsheet so you can follow along: - Mathematical optimization, including non-linear programming and genetic algorithms- Clustering via k-means, spherical k-means, and graph modularity- Data mining in graphs, such as outlier detection- Supervised AI through logistic regression, ensemble models, and bag-of-words models- Forecasting, seasonal adjustments, and prediction intervals through monte carlo simulation- Moving from spreadsheets into the R programming languageYou get your hands dirty as you work alongside John through each technique. But never fear, the topics are readily applicable and the author laces humor throughout. You'll even learn what a dead squirrel has to do with optimization modeling, which you no doubt are dying to know.

    It is the basis for a new approach to artificial intelligence that aims to program computers to use example data or past experience to solve a given problem. In this volume in the MIT Press Essential Knowledge series, Ethem Alpayd�n offers a concise and accessible overview of the new AI. This expanded edition offers new material on such challenges facing machine learning as privacy, security, accountability, and bias. Alpayd�n, author of a popular textbook on machine learning, explains that as Big Data has gotten bigger, the theory of machine learning--the foundation of efforts to process that data into knowledge--has also advanced. He describes the evolution of the field, explains important learning algorithms, and presents example applications. He discusses the use of machine learning algorithms for pattern recognition; artificial neural networks inspired by the human brain; algorithms that learn associations between instances; and reinforcement learning, when an autonomous agent learns to take actions to maximize reward. In a new chapter, he considers transparency, explainability, and fairness, and the ethical and legal implications of making decisions based on data.

    You've got the programming chops, you're up on the latest tech, you're sitting at your workstation... now what? New Programmer's Survival Manual gives your career the jolt it needs to get going: essential industry skills to help you apply your raw programming talent and make a name for yourself. It's a no-holds-barred look at what really goes on in the office--and how to not only survive, but thrive in your first job and beyond. Programming at industry level requires new skills - you'll build programs that dwarf anything you've done on your own. This book introduces you to practices for working on large-scale, long-lived programs at a professional level of quality. You'll find out how to work efficiently with your current tools, and discover essential new tools. But the tools are only part of the story; you've got to get street-smart too. Succeeding in the corporate working environment requires its own savvy. You'll learn how to navigate the office, work with your teammates, and how to deal with other people outside of your department. You'll understand where you fit into the big picture and how you contribute to the company's success. You'll also get a candid look at the tougher aspects of the job: stress, conflict, and office politics. Finally, programming is a job you can do for the long haul. This book helps you look ahead to the years to come, and your future opportunities--either as a programmer or in another role you grow into. There's nothing quite like the satisfaction of shipping a product and knowing, "I built that." Whether you work on embedded systems or web-based applications, in trendy technologies or legacy systems, this book helps you get from raw skill to an accomplished professional.

    This well-respected text offers an accessible introduction to functional programming concepts and techniques for students of mathematics and computer science. The treatment is as nontechnical as possible, and it assumes no prior knowledge of mathematics or functional programming. Cogent examples illuminate the central ideas, and numerous exercises appear throughout the text, offering reinforcement of key concepts. All problems feature complete solutions.

    Whether exploring electromagnetic fields, the origin of hot chocolate, or DNA fingerprinting, these essays all illustrate the surprisingly circular nature of change. In "Room with (Half) a View," for instance, Burke muses about the partly obscured railway bridge outside his home on the Thames, a musing which sets off a chain of thought that leads from the bridge's engineer to Samuel Morse, to firearms inventor Sam Colt, and finally to a trombonist named Gustav Holst, who once lived in the very house that blocks Burke's view. So it goes with Burke's entertaining and informative essays as each one highlights the interconnectedness of seemingly unrelated events and innovations. Romantic poetry leads to brandy distillation; tonic water connects through Leibniz to the first explorers to reach the North Pole. This unique collection is sure to stimulate and delight history buffs, technophiles, and anyone else with a healthy intellectual curiosity.

    In the coming years, we will make decisions regarding our human spaceflight program that will lead to one of two familiar futures: the open universe of "Star Trek, "where we allow ourselves the opportunity to spread our wings and attempt to flourish as an interplanetary species--or the closed, dystopian, and ultimately self-destructive world of "Soylent Green." If we ever hope to live in the future that is the former scenario, our first stepping stone must be a manned mission to Mars. In this four-part e-special, Dr. Robert Zubrin details the challenges of a manned Earth-to-Mars mission. Challenges which, according to Zubrin, we are technologically more prepared to overcome than the obstacles of the missions to the moon of the sixties and seventies. Dr. Zubrin's relatively simple plan, called Mars Direct, could feasibly have humans on the surface of Mars within a decade. Zubrin also discusses the current predicament of NASA, the promise of privatized space flight from companies like SpaceX, and the larger implication behind the absolute necessity to open the final frontier to humanity--the human race's future as a species that takes the necessary baby steps away from the cradle that is planet Earth or, ultimately, perishes here.