But from the perspective of mathematics, groupings of ten are arbitrary, and can have serious shortcomings. Twelve would be better for divisibility, and eight is smaller and well suited to repeated halving. Grouping by two, as in binary code, has turned out to have its own remarkable advantages.Paul Lockhart reveals arithmetic not as the rote manipulation of numbers--a practical if mundane branch of knowledge best suited for balancing a checkbook or filling out tax forms--but as a set of ideas that exhibit the fascinating and sometimes surprising behaviors usually reserved for higher branches of mathematics. The essence of arithmetic is the skillful arrangement of numerical information for ease of communication and comparison, an elegant intellectual craft that arises from our desire to count, add to, take away from, divide up, and multiply quantities of important things. Over centuries, humans devised a variety of strategies for representing and using numerical information, from beads and tally marks to adding machines and computers. Lockhart explores the philosophical and aesthetic nature of counting and of different number systems, both Western and non-Western, weighing the pluses and minuses of each.A passionate, entertaining survey of foundational ideas and methods, Arithmetic invites readers to experience the profound and simple beauty of its subject through the eyes of a modern research mathematician.

    These themes include mathematical reasoning, combinatorial analysis, discrete structures, algorithmic thinking, and enhanced problem-solving skills through modeling. Its intent is to demonstrate the relevance and practicality of discrete mathematics to all students. The Fifth Edition includes a more thorough and linear presentation of logic, proof types and proof writing, and mathematical reasoning. This enhanced coverage will provide students with a solid understanding of the material as it relates to their immediate field of study and other relevant subjects. The inclusion of applications and examples to key topics has been significantly addressed to add clarity to every subject. True to the Fourth Edition, the text-specific web site supplements the subject matter in meaningful ways, offering additional material for students and instructors. Discrete math is an active subject with new discoveries made every year. The continual growth and updates to the web site reflect the active nature of the topics being discussed. The book is appropriate for a one- or two-term introductory discrete mathematics course to be taken by students in a wide variety of majors, including computer science, mathematics, and engineering. College Algebra is the only explicit prerequisite.

    

    In his latest book, he draws on what he learned from his own ten-year journey as well as from coaching thousands of others to walk you through the seven stages to discovering and doing meaningful work. Relevant to any job or industry, you’ll learn step-by-step how to:1. Get Clear on the work you were uniquely made to do and why.2. Get Qualified to do the work you were created for.3. Get Connected with the right people who can open the doors to your dream.4. Get Started by overcoming the emotions and mistakes that often hold people back.5. Get Promoted by developing winning habits and traits.6. Get Your Dream Job by doing work you love and accomplishing results that matter to you.7. Give Yourself Away by expanding the dream to leave a legacy.This is your moment. You are needed, and you were made to contribute. It’s time to exit the daily grind and use your talents to start living your dream once and for all.

    

    The same ones he used to build a Top SEO Agency in London. 7 Years & 500 clients later, he hands you the Playbook."SEO For 2020 Onwards"Is This You?Total SEO Virgin?Entrepreneur?Business or Blog Owner with Big Plans?Or Perhaps THIS is You...Mom & Pop store ownerHard worker in need of technical knowledgeFrustrated Google Ads spenderSEO professional looking for time-saving hacksAffiliate marketerSEO forum & blog reader in need of some structure...If So, This Book Was Written For You"Features FREE Video Series + SEO Blueprint"What Does This Book Deliver?Over 3 hours of invaluable 'walk through' video tutorials to SHOW you what to do, as well provide you with a step-by-step, week-by-week SEO Blueprint and Checklist.If you've got a solid work ethic, you're eager to learn, and your business model is sound, '3 Months to No.1' will give you all the tools and know-how required to get your website to the very top of Google where the profit is. Through a refreshingly no-nonsense plain English approach to SEO, successful London SEO Agency owner Will Coombe unveils how to...Discover SEO's greatest secret - that it isn't rocket science!Save thousands by doing SEO yourself, or with your in-house teamFilter profitable traffic to your siteLearn what on earth to do with your social mediaEffectively direct and monitor people doing SEO for youGain the industry knowledge to call out anyone full of 'BS'Who is Will Coombe?Before co-founding a successful Digital Marketing Agency in London over 7 years ago, Will Coombe flew passengers round the world for a living. Working for a major UK Airline he helped over 250,000 people reach their final destination. In the end though, his was Google. Now a professional speaker on the subject of making businesses profitable through SEO, Will reveals how and why he went from 'airline', to 'online'; and how you too can leverage his years of experience getting clients' websites to the very top of Google.He may have hung up his wings, but Will's years of experience making technical jargon easily accessible to anyone who entered his cockpit is put to good use in '3 Months to No.1'."Learn. Take Action. Get Results."A Carefully Curated SEO Guide for 2020 OnwardsThis book doesn't hold 'secrets' you can't find scattered throughout the Internet. Instead, it cuts through the noise and guides you to the ultimate return on time investment for SEO. It tells you what to focus on and when. '3 Months to No.1' finally gives you a step-by-step Playbook. One with the fresh and down to earth approach of someone who came from no background in SEO or digital marketing at all."How High Will Your Revenue Go in 12 Weeks?"You'll Discover...- Online marketing 101- Personal advice for your business- How to uncover money-making keywords- Configuring WordPress for SEO success- How to nail the technical elements- How to win links- A crash course in content marketing- Social media account use (finally!)- SEO if you're a local business- eCommerce SEO (inc. Shopify, Magento, & WooCommerce)- Google penalty diagnosis & avoidance- Why it's quicker to go 'white hat' and not try to cheat Google- + more..."Grab a Copy Now..."

    Always timely, topical, and distinctively “useful, with a pleasant degree of humor,” the Almanac is consulted daily by users from all walks of life, throughout the year.   The 2021 edition contains the fun facts, predictions, and feature items that have made it a cultural icon: traditionally 80 percent–accurate weather forecasts; notable astronomical events and time-honored astrological dates; horticultural, culinary, fashion, and other trends; historical hallmarks; best fishing days; time- and money-saving garden advice; recipes for refreshment; facts on folklore, farmers, home remedies, and husbandry; amusements and contests, plus too much more to mention—all in the inimitable way that the Almanac has done since 1792.   • Beloved by generations for being “useful, with a pleasant degree of humor,” The Old Farmer’s Almanac features everything under the Sun, including its much-in-demand long-range weather predictions, essential astronomical timetables, 2021 holidays, fascinating trends, best fishing days, valuable gardening information, tantalizing recipes, fun folklore, amusements, contests, and much more! • Exclusive: 32 reference pages, covering such popular topics as full Moon names, hurricane names, flowers that attract birds and butterflies, U.S./metric measurement conversions, and many more! • Easy-to-read edition, with crisp, white paper and larger type than the regular paperback version • Includes 112 full-color pages • Hard cover with dust jacket helps to protect the pages—a plus for those who collect the Almanac each year!

    

    Feynman gave his famous course on computation at the California Institute of Technology, he asked Tony Hey to adapt his lecture notes into a book. Although led by Feynman, the course also featured, as occasional guest speakers, some of the most brilliant men in science at that time, including Marvin Minsky, Charles Bennett, and John Hopfield. Although the lectures are now thirteen years old, most of the material is timeless and presents a “Feynmanesque” overview of many standard and some not-so-standard topics in computer science such as reversible logic gates and quantum computers.

    By presenting actual experiences and analyzing them as they are described, the author conveys the developmental thought processes employed and shows a style of thinking that leads to successful results is something that can be learned. Along with spectacular successes, the author also conveys how failures contributed to shaping the thought processes. Provides the reader with a style of thinking that will enhance a person's ability to function as a problem-solver of complex technical issues. Consists of a collection of stories about the author's participation in significant discoveries, relating how those discoveries came about and, most importantly, provides analysis about the thought processes and reasoning that took place as the author and his associates progressed through engineering problems.

    Wayne Jonas explains how 80 percent of healing occurs organically and how to activate the healing process.In How Healing Works, Dr. Wayne Jonas lays out a revolutionary new way to approach injury, illness, and wellness. Dr. Jonas explains the biology of healing and the science behind the discovery that 80 percent of healing can be attributed to the mind-body connection and other naturally occurring processes. Jonas details how the healing process works and what we can do to facilitate our own innate ability to heal. Dr. Jonas's advice will change how we consume health care, enabling us to be more in control of our recovery and lasting wellness. Simple line illustrations communicate statistics and take-aways in a memorable way. Stories from Dr. Jonas's practice and studies further illustrate his method for helping people get well and stay well after minor and major medical events.

    In this lively book of essays, Stephen Wolfram takes the reader along on some of his most surprising and engaging intellectual adventures in science, technology, artificial intelligence and language design.

    Chances are you’ve tried one of the popular diets out there. The Atkins Diet, The South Beach Diet, The Zone Diet, The Blood Type Diet, The Eat Clean Diet, The Alkaline Diet, The Ornish Diet, The Insert Name Here Diet.You probably lost some weight… for awhile. Did you keep it off? Chances are you didn’t. In fact, chances are you regained it all back and possibly then some. You aren’t alone. Six out of seven people who are overweight are able to successfully lose weight during their lifetime. But 85-95% of them will fail at keeping it off in the long term. If this sounds bad, consider that ⅓-⅔ of those people will add back on more weight than they lost in the first place! If this cycle is repeated it can turn into ‘yo-yo dieting’, quite possibly one of the worst things you can do for your mental and physical health.Ask anyone and they will tell you that you need to lose weight and keep it off and prevent yo-yo dieting, but no one gives you an idea of HOW to accomplish that. What makes our book different? We discuss WHY diets fail on a physiological, psychological, and sociological level so you can better understand why what you did previously did not work. Then we also detail the MOST IMPORTANT behaviors, methods, and traits for losing weight and KEEPING IT OFF.This book is for everyone who wants to lose weight and keep it off, especially for those frustrated and hopeless chronic dieters tired of trying all the popular diets only to repeatedly fail. There is still hope to be found in these pages. Please give us the chance to guide you.

    joyfully shows you how to make nature's numbers dance."--Bill Nye (the science guy)The Magic of Math is the math book you wish you had in school. Using a delightful assortment of examples-from ice-cream scoops and poker hands to measuring mountains and making magic squares-this book revels in key mathematical fields including arithmetic, algebra, geometry, and calculus, plus Fibonacci numbers, infinity, and, of course, mathematical magic tricks. Known throughout the world as the "mathemagician," Arthur Benjamin mixes mathematics and magic to make the subject fun, attractive, and easy to understand for math fan and math-phobic alike."A positively joyful exploration of mathematics."-Publishers Weekly, starred review"Each [trick] is more dazzling than the last."-Physics World