Gödel received public recognition of his work in 1951 when he was awarded the first Albert Einstein Award for achievement in the natural sciences--perhaps the highest award of its kind in the United States. The award committee described his work in mathematical logic as "one of the greatest contributions to the sciences in recent times."However, few mathematicians of the time were equipped to understand the young scholar's complex proof. Ernest Nagel and James Newman provide a readable and accessible explanation to both scholars and non-specialists of the main ideas and broad implications of Gödel's discovery. It offers every educated person with a taste for logic and philosophy the chance to understand a previously difficult and inaccessible subject.New York University Press is proud to publish this special edition of one of its bestselling books. With a new introduction by Douglas R. Hofstadter, this book will appeal students, scholars, and professionals in the fields of mathematics, computer science, logic and philosophy, and science.

    This proven and accessible text speaks to beginning engineering and math students through a wealth of pedagogical aids, including an abundance of examples, explanations, "Remarks" boxes, definitions, and group projects. Using a straightforward, readable, and helpful style, this book provides a thorough treatment of boundary-value problems and partial differential equations.

    Covering various the materials needed by students in engineering, science, and mathematics, this calculus text makes effective use of computing technology, graphics, and applications. It presents at least two technology projects in each chapter.

    Pure Mathematics 1 corresponds to unit P1. It covers quadratics, functions, coordinate geometry, circular measure, trigonometry, vectors, series, differentiation and integration.

    of Wisconsin-Madison) and Wichern (Texas A&M U.) present the newest edition of this college text on the statistical methods for describing and analyzing multivariate data, designed for students who have taken two or more statistics courses. The fifth edition includes the addition of seve

    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.

    The text converts all programming code into the C++ language.

    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.

    In it, Russell offers a nontechnical, undogmatic account of his philosophical criticism as it relates to arithmetic and logic. Rather than an exhaustive treatment, however, the influential philosopher and mathematician focuses on certain issues of mathematical logic that, to his mind, invalidated much traditional and contemporary philosophy.In dealing with such topics as number, order, relations, limits and continuity, propositional functions, descriptions, and classes, Russell writes in a clear, accessible manner, requiring neither a knowledge of mathematics nor an aptitude for mathematical symbolism. The result is a thought-provoking excursion into the fascinating realm where mathematics and philosophy meet — a philosophical classic that will be welcomed by any thinking person interested in this crucial area of modern thought.

    Don’t mess it up.”  As the winningest man in barbecue, a New York Times bestselling cookbook author, and a judge on the hit show BBQ Pitmasters on Discovery’s Destination America, Myron Mixon knows more about smoking meat than any man alive. And now he’s on a mission to prove to home cooks everywhere that they can make great barbecue any day of the week—in the comfort of their own backyard or kitchen, no matter their skill level. Across the country at competitions and in his Pride & Joy Bar-B-Que restaurants, Mixon has proven that no other pitmaster’s food can touch his when he’s behind a smoker. But he doesn’t need fancy equipment to do it: He can cook delicious barbecue with any grill, smoker, or oven, even on the busiest weeknight, and you’ll be able to, too, with the nearly 150 recipes in Everyday Barbecue. Armed with Mixon’s advice and tips, you’ll discover that barbecue isn’t just for the Fourth of July and Labor Day; it’s for any day you feel like cooking it. So fire up your grill and get ready to cook incredible barbecue favorites such as Ribs the Easy Way, Myron’s Dr Pepper Can Chicken, and The King Rib sandwich and adventurous backyard fare like Pork Belly Sliders and Barbecue-Fried Baby Backs, plus leftover inspirations, delectable deserts, and even some drunken recipes!In Everyday Barbecue, you will find some seriously finger-lickin’ good barbecue recipes, including:  • The Essentials: Turning any backyard grill into a smoker—Brisket the Easy Way, Ribs the Easy Way, The Only Barbecue Sauce You Need• Burgers and Sandwiches: Classic Hickory Smoked Barbecue Burger, The King Rib, Barbecue Pork Belly Sliders, Brisket Cheesesteaks, Barbecued Veggie Sandwiches• Smoked and Grilled: Perfect Grilled Rib Eyes, Whole Roasted Turkey with Bourbon Gravy, Myron’s Dr Pepper Can Chicken• Barbecue-Fried: Yes, first you smoke it, then you fry it—Baby Backs, Chicken Lollipops, Cap’n Crunch Chicken Tenders• Swimmers: Finger-Lickin’ Barbecue Shrimp-and-Cheese Grits, Smoky Catfish Tacos• Drunken Recipes: Bourbon Brown Sugar Chicken, Whiskey Grilled Shrimp• Barbecue Brunch: Pitmaster’s Smoked Eggs Benedict with Pulled Pork Cakes, Backyard Bacon• Plus, Salads and Sides, delectable Desserts, and Leftover inspirations! Baby Back Mac and Cheese, Tinga-Style Barbecue Tacos, Chocolate Cake on the Grill, and Grilled Skillet Apple Pie   Loaded with nearly 150 recipes and mouthwatering photographs throughout, Everyday Barbecue serves up barbecue’s greatest hits (and more) in a fast, efficient way that you’ve never seen before.Praise for Everyday Barbecue   “Mixon does an admirable job of showing grillers, smokers, and barbecuers how they can turn labor and time-intensive grilling and barbecue projects into weekday meals with a minimum of fuss in this to-the-point collection of 150 smoke-centered recipes. . . . It’s his ingenious use of leftovers that will make readers take notice as he offers suggestions for mountains of leftover brisket, pulled pork, or chicken. This approach—rather than a multitude of variations on ribs, pulled pork and a bevy of sauces—sets the book apart and make it a keeper.”—Publishers Weekly

    It reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of history.

    The authors are well-known for their clear presentation that makes the material accessible to a a broad audience and requires no special previous mathematical experience. KEY TOPICS: In this new edition, the authors incorporate a somewhat more informal, friendly writing style to present both classical and contemporary theories of computation. Algorithms, complexity analysis, and algorithmic ideas are introduced informally in Chapter 1, and are pursued throughout the book. Each section is followed by problems.

    In studying number theory from such a perspective, mathematics majors are spared repetition and provided with new insights, while other students benefit from the consequent simplicity of the proofs for many theorems.Among the topics covered in this accessible, carefully designed introduction are multiplicativity-divisibility, including the fundamental theorem of arithmetic, combinatorial and computational number theory, congruences, arithmetic functions, primitive roots and prime numbers. Later chapters offer lucid treatments of quadratic congruences, additivity (including partition theory) and geometric number theory.Of particular importance in this text is the author's emphasis on the value of numerical examples in number theory and the role of computers in obtaining such examples. Exercises provide opportunities for constructing numerical tables with or without a computer. Students can then derive conjectures from such numerical tables, after which relevant theorems will seem natural and well-motivated..

    The information presented in this guide was taken from the book Real Havana: Explore Cuba Like A Local And Save Money. This book is available at most online book retailers. It offers a complete description of all the information presented below.In this mini-guide you will learn about:● Dozens of facts and tips on Cuban Culture and daily life.● Money saving tips on Cuban cuisine and dining.● Common restaurant scams in Havana.● Facts about buying alcohol, cigars and shopping in general.● Important tips on using taxis, public transportation and rental cars.● Info on biking in Havana● Booking a cheap apartment in Havana (casa particular)Plus, this updated 2016 edition includes a special Trinidad City Guide. Trinidad is one of the most beautiful towns in Cuba and one of the most popular excursion destinations for travelers. Learn how to explore this wonderful UNESCO World Heritage site for yourself, on your next trip to Cuba.BONUS: As a bonus, this mini-guide also includes the Top Ten Cuba Tip List! It’s packed with the most important information that any traveler must know about Cuba and Havana, in order to maximize their fun, save money and avoid any hassles.The Real Havana guide has all that information and much more. It has been described by industry professionals as being the #1 travel guide for information about Cuban culture. That’s why it is a bestseller and has been a trusted resource to over 200 000 travelers since 2010.About Full Compass GuidesFull Compass Guides are aimed at travelers who want to understand local customs and culture so that they can experience destinations like a local. Unlike regular tourist guides, Full Compass guides are not a list of attractions popular with tourists, and boring restaurant and hotel reviews that are obsolete the moment they are published. With our guides, you get succinct, useful information about the culture, people and geography of your destination so you have the tools and the confidence to explore on your own, experience everything that your destination has to offer, and save money.Our guides are written by experienced travelers who have intimate knowledge of both the location and the culture of the destination. They give you the exact information you need in order to make the most of your travel time. With a Full Compass guide, you will be a knowledgeable explorer, rather than just another flash-happy tourist.

    This text is highly regarded because of its engaging and understandable introduction to statistics. The author's commitment to providing student-friendly guidance through the material and giving students opportunities to apply their newly learned skills in a real-world context has made Elementary Statistics the #1 best-seller in the market.