It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.

    This book upends the conventional approach to math, inviting you to think creatively about shape and dimension, the infinite and infinitesimal, symmetries, proofs, and how these concepts all fit together. What awaits readers is a freewheeling tour of the inimitable joys and unsolved mysteries of this curiously powerful subject.Like the classic math allegory Flatland, first published over a century ago, or Douglas Hofstadter's Godel, Escher, Bach forty years ago, there has never been a math book quite like Math Without Numbers. So many popularizations of math have dwelt on numbers like pi or zero or infinity. This book goes well beyond to questions such as: How many shapes are there? Is anything bigger than infinity? And is math even true? Milo Beckman shows why math is mostly just pattern recognition and how it keeps on surprising us with unexpected, useful connections to the real world.The ambitions of this book take a special kind of author. An inventive, original thinker pursuing his calling with jubilant passion. A prodigy. Milo Beckman completed the graduate-level course sequence in mathematics at age sixteen, when he was a sophomore at Harvard; while writing this book, he was studying the philosophical foundations of physics at Columbia under Brian Greene, among others.

     99.99% of the world’s mysteries are yet to be discovered and/or solved. Why not… It’s time for you to rediscover science? One of the most compelling draws of the sciences for many people is the potential of discovering something that was not known before. Whether someone’s doing it for fame, for fortune, or just for the fun of it, discovering something new, leaving your own personal mark for the rest of humanity’s time in the universe, is a tempting prospect for many. How would you feel about naming a star, and for others to know that you named it? That star would be visible in the sky for the rest of your lifetime, and more than likely for your great-great-great-grandchildren’s lifetimes. Your discovery would be immortalized above for the life of the star. Inside this book you will discover: -String theory and how it came about -Black holes and quantum gravity -If Schrödinger’s Cat is really a cat? -Disagreements between Einstein and Bohr -The double slit experiment Attention! Quantum Physics is NOT for everyone! This book is not for people: -Who doesn’t want to impress their girl with science -Who are not curious about the universe -Who isn’t inspired to name their own science theory If you are ready to learn about quantum physics, Scroll Up And Click On The “BUY NOW” Button Now!

    

    Collected from the series of blog posts starting at: https://bartoszmilewski.com/2014/10/2...Hardcover available at: http://www.blurb.com/b/9008339-catego...

    Such systems--whether political parties, stock markets, or ant colonies--present some of the most intriguing theoretical and practical challenges confronting the social sciences. Engagingly written, and balancing technical detail with intuitive explanations, Complex Adaptive Systems focuses on the key tools and ideas that have emerged in the field since the mid-1990s, as well as the techniques needed to investigate such systems. It provides a detailed introduction to concepts such as emergence, self-organized criticality, automata, networks, diversity, adaptation, and feedback. It also demonstrates how complex adaptive systems can be explored using methods ranging from mathematics to computational models of adaptive agents. John Miller and Scott Page show how to combine ideas from economics, political science, biology, physics, and computer science to illuminate topics in organization, adaptation, decentralization, and robustness. They also demonstrate how the usual extremes used in modeling can be fruitfully transcended.

    For many, home values are still too low and unemployment is still too high. Others have prospered despite the ups and downs. In Clark Howard's Living Large for the Long Haul, the renowned broadcaster examines our new paradigm through the eyes of those whose financial portfolios have beaten the odds, and those whose economic situation has gone off course. Through these fascinating personal accounts, listeners will uncover amazing opportunities and smart decisions, finding advantages in bleak times for lasting payoffs in the long run.

    For others, it's a boring, stressful, and frustrating waste of time. If your child is in the second category, why keep tormenting them? Instead, why not help them find an educational environment where they feel genuinely motivated, excited, and empowered?In this eye-opening book, Blake Boles makes the case for leaving conventional school and taking one of the many alternative paths through K-12 that exist today. He addresses parents' major concerns about unconventional education—Can my kids still go to college? Will they still be employable? How will they learn to work hard?—while highlighting the hidden benefits of self-directed learning, such as improved parent-child relationships, a more balanced decision-making process regarding college, and a heightened sense of autonomy and connection.Drawing upon 15 years of work as a mentor and guide for adolescents in alternative and experiential learning environments—as well as his own unconventional life path—Boles weaves together narrative, theory, and research to build a powerful argument for granting children unusual levels of freedom and responsibility.

    Based on the popular blog, Smart Classroom Management, the book progresses step-by-step through 45 time-tested strategies, showing you how to manage your classroom in a way that inspires students to want to behave. Binding these strategies together is a little-known secret shared by the most exceptional teachers, those remembered and beloved for a lifetime. By the end of the book, you'll have the knowledge to free your classroom of misbehavior and disrespect, build easy rapport with your students, and teach with a spirit of joy and passion that you've always longed for.

    In this simple pattern beginning with two ones, each succeeding number is the sum of the two numbers immediately preceding it (1, 1, 2, 3, 5, 8, 13, 21, ad infinitum). Far from being just a curiosity, this sequence recurs in structures found throughout nature - from the arrangement of whorls on a pinecone to the branches of certain plant stems. All of which is astounding evidence for the deep mathematical basis of the natural world. With admirable clarity, two veteran math educators take us on a fascinating tour of the many ramifications of the Fibonacci numbers. They begin with a brief history of a distinguished Italian discoverer, who, among other accomplishments, was responsible for popularizing the use of Arabic numerals in the West. Turning to botany, the authors demonstrate, through illustrative diagrams, the unbelievable connections between Fibonacci numbers and natural forms (pineapples, sunflowers, and daisies are just a few examples). In art, architecture, the stock market, and other areas of society and culture, they point out numerous examples of the Fibonacci sequence as well as its derivative, the "golden ratio." And of course in mathematics, as the authors amply demonstrate, there are almost boundless applications in probability, number theory, geometry, algebra, and Pascal's triangle, to name a few.Accessible and appealing to even the most math-phobic individual, this fun and enlightening book allows the reader to appreciate the elegance of mathematics and its amazing applications in both natural and cultural settings.

    

    This is a book about LEARNING!Technology is not a magic solution for education. It is an opportunity! An opportunity to shake things up, to connect and grow, and to create dynamic learning experiences for our students! In this three-part book, you will explore WHY it's time to Shake Up Learning, WHAT changes we can make in our classrooms to support dynamic learning experiences, and HOW to plan meaningful lessons for your classroom.Rapidly evolving technology and the demands of the digital age are transforming not only the way we live but also the way we learn. The tools students are using are newer, sleeker, and faster than ever before. In some cases, the medium is even changing the message. One thing is certain: Educators cannot continue the status quo if they expect to equip young people for the world to come. Here's the good news: With digital tools that are available 24/7, learning doesn't have to stop when the bell rings. Learning can take on a life of its own! Even better, technology can help you connect with students and empower them to grow and develop a lifelong love for learning--and it doesn't have to be scary or complicated. Shake Up Learning is a powerful guide and planning tool to help educators at all grade levels make the most of technology. Educator and blogger Kasey Bell guides you through the process of using technology and proven techniques to make learning dynamic. You'll discover . . . Practical strategies to help move from static teaching to dynamic learningStraightforward and easy-to-use templates for crafting engaging learning opportunitiesTips and tricks for fearless implementation of powerful lesson plansAdvice for moving from one-and-done activities to learning that evolves and inspires throughout the school year--and beyond!This is MORE than just a book! This is a full LEARNING EXPERIENCE!This book is jammed packed with ideas, lessons, and resources, but you can bring it all to life with the companion website, ShakeUpLearningBook.com, and the companion online course, The Dynamic Learning Workshop!Be dynamic! Shake up learning in your classroom this year.

    Starting as early as eight years old, children are exposed to information, thought, and emotion that they are developmentally unprepared to process. As a result, saving the typical “teen parenting” strategies for thirteen-year-olds is now years too late.Urgent advice for parents of teens. Dr. John Duffy’s parenting book is a new and necessary guide that addresses this hidden phenomenon of the changing teenage brain. Dr. Duffy, a nationally recognized expert in parenting for nearly twenty-five years, offers this book as a guide for parents raising children who are growing up quickly and dealing with unresolved adolescent issues that can lead to anxiety and depression.Unprecedented psychological suffering among our young and why it is occurring. A shift has taken place in how and when children develop. Because of the exposure they face, kids are emotionally overwhelmed at a young age, often continuing to search for a sense of self well into their twenties. Paradoxically, Dr. Duffy recognizes the good that comes with these challenges, such as the sense of justice instilled in teenagers starting at a young age.Readers of this book will: Sort through the overwhelming circumstances of today’s teens and better understand the changing landscape of adolescence Come away with a revised, conscious parenting plan more suited to addressing the current needs of the New Teen Discover the joy in parenting again by reclaiming the role of your teen’s ally, guide, and consultant If you enjoyed parenting books such as The Yes Brain, How to Raise an Adult, The Deepest Well, and The Conscious Parent; then Parenting the New Teen in the Age of Anxiety should be next on your list!

    Here is the paperback edition of Elaine St. James's best-selling guide to making life with children easier, simpler, and happier.Everyone with children has experienced the frustrations of trying to juggle softball practice, PTA meetings, meals, laundry, and comforting a crying child with marriage, a hectic career, and what used to be a social life. It's a familiar challenge in many of today's harried households. In fact, in nearly three-quarters of American homes with children under eighteen both parents are employed full-time. Life can quickly get complicated.Simplicity expert Elaine St. James now has solutions for beleaguered parents everywhere. Simplify Your Life with Kids offers practical, down-to-earth advice for the vital, time-demanding, perplexing issues that all parents face; it promises to be an easy read for busy parents whose lives are so hectic they don't have the time or energy to wade through a heavy tome.Like St. James's previous simplicity books, Simplify Your Life with Kids will become the classic gift choice for anyone with kids, for anyone who's expecting kids, for older boomer parents, for parents of the currently developing baby boomlet, and for everyone who knows anyone with kids.

      You’ve had a successful career and you’re no couch potato—but how do you make the transition to a new phase of your life? From one of the original creators of the popular Franklin Day Planner, the former Chairman and CEO of Franklin Covey Co., and the recognized “Father of Time Management,” this guide shows you how you can move from your previous work, simplify life, and enter a new world of purposeful retirement and good living.   Create a retirement that is meaningful and inspiring Make intelligent and anxiety-free retirement planning choices Learn from the lives and experiences of people who have found their pathway to happy retirement Discover secrets to aging well   This distinguished author, speaker, and businessman combines wit and enthusiasm with compelling principles that inspire lasting personal change. Draw from a lifetime of wisdom to discover your true passion, re-imagine your life, and try new possibilities.