Imagining Numbers


Barry Mazur - 2002
    This book reveals how anyone can begin to visualize the enigmatic 'imaginary numbers' that first baffled mathematicians in the 16th century.

Linear Algebra


Stephen H. Friedberg - 1979
     This top-selling, theorem-proof text presents a careful treatment of the principal topics of linear algebra, and illustrates the power of the subject through a variety of applications. It emphasizes the symbiotic relationship between linear transformations and matrices, but states theorems in the more general infinite-dimensional case where appropriate.

Naked Statistics: Stripping the Dread from the Data


Charles Wheelan - 2012
    How can we catch schools that cheat on standardized tests? How does Netflix know which movies you’ll like? What is causing the rising incidence of autism? As best-selling author Charles Wheelan shows us in Naked Statistics, the right data and a few well-chosen statistical tools can help us answer these questions and more.For those who slept through Stats 101, this book is a lifesaver. Wheelan strips away the arcane and technical details and focuses on the underlying intuition that drives statistical analysis. He clarifies key concepts such as inference, correlation, and regression analysis, reveals how biased or careless parties can manipulate or misrepresent data, and shows us how brilliant and creative researchers are exploiting the valuable data from natural experiments to tackle thorny questions.And in Wheelan’s trademark style, there’s not a dull page in sight. You’ll encounter clever Schlitz Beer marketers leveraging basic probability, an International Sausage Festival illuminating the tenets of the central limit theorem, and a head-scratching choice from the famous game show Let’s Make a Deal—and you’ll come away with insights each time. With the wit, accessibility, and sheer fun that turned Naked Economics into a bestseller, Wheelan defies the odds yet again by bringing another essential, formerly unglamorous discipline to life.

Biology For Dummies


Rene Fester Kratz - 2010
    Wouldn't it be great to have a single source of quick answers to all our questions about how living things work? Now there is.From molecules to animals, cells to ecosystems, Biology For Dummies, 2nd Edition answers all your questions about how living things work.Written in plain English and packed with dozens of illustrations, quick-reference Cheat Sheets, and helpful tables and diagrams, it cuts right to the chase with fast-paced, easy-to-absorb explanations of the life processes common to all organisms. More than 20% new and updated content, including a substantial overhaul to the organization of topics to make it a friendly classroom supplement Coverage of the most recent developments and discoveries in evolutionary, reproductive, and ecological biology Includes practical, up-to-date examples Whether you're currently enrolled in a biology class or just want to know more about this fascinating and ever-evolving field of study, this engaging guide will give you a grip on complex biology concepts and unlock the mysteries of how life works in no time.

Primal Leadership: Realizing the Power of Emotional Intelligence


Daniel Goleman - 2002
    Looks at the role of emotional intelligence in leadership, discussing the characteristics of a good leader and leadership styles, and outlines the steps to becoming an effective leader.

Einstein's Heroes: Imagining the World Through the Language of Mathematics


Robyn Arianrhod - 2004
    Einstein's Heroes takes you on a journey of discovery about just such a miraculous language--the language of mathematics--one of humanity's mostamazing accomplishments. Blending science, history, and biography, this remarkable book reveals the mysteries of mathematics, focusing on the life and work of three of Albert Einstein's heroes: Isaac Newton, Michael Faraday, and especially James Clerk Maxwell, whose work directly inspired the theory of relativity. RobynArianrhod bridges the gap between science and literature, portraying mathematics as a language and arguing that a physical theory is a work of imagination involving the elegant and clever use of this language. The heart of the book illuminates how Maxwell, using the language of mathematics in a newand radical way, resolved the seemingly insoluble controversy between Faraday's idea of lines of force and Newton's theory of action-at-a-distance. In so doing, Maxwell not only produced the first complete mathematical description of electromagnetism, but actually predicted the existence of theradio wave, teasing it out of the mathematical language itself. Here then is a fascinating look at mathematics: its colorful characters, its historical intrigues, and above all its role as the uncannily accurate language of nature.

University Physics with Modern Physics


Hugh D. Young - 1949
    Offering time-tested problems, conceptual and visual pedagogy, and a state-of-the-art media package, this 11th edition looks to the future of university physics, in terms of both content and approach.

Book of Proof


Richard Hammack - 2009
    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.

The Science of Self-Learning: How to Teach Yourself Anything, Learn More in Less Time, and Direct Your Own Education


Peter Hollins - 2018
    Work smarter and save yourself countless hours. Self-learning is not just about performing better in the classroom or the office. It’s about being able to aim your life in whatever direction you choose and conquering the obstacles in front of you. Replicable methods and insights to build expertise from ground zero. The Science of Self-Learning focuses not only on learning, but what it means to direct your own learning. Anyone can read a book, but what about more? You will learn to deconstruct a topic and then construct your own syllabus and plan. Gathering information, initial research, having a dialogue with new information - unlock these skills and you will unlock your life. Make complex topics painless and less intimidating to approach and break down. Peter Hollins has studied psychology and peak human performance for over a dozen years and is a bestselling author. He has worked with a multitude of individuals to unlock their potential and path towards success. His writing draws on his academic, coaching, and research experience. Develop habits and skills to fulfill your career or hobby goals. • Understand the learning success pyramid and how self-regulation and confidence impact learning. • How to stay motivated in tedious and tiring learning. • The SQ3R Method and conversing with information. Science-based methods to help your brain absorb and retain more. • Speed reading and comprehension. • How to plan and schedule like Benjamin Franklin. • How to extract information like juice from an orange. Most people have multiple careers in their lives. Self-learning is how you keep up and adapt. The only thing that is given in life is that it will change. Seasons change. Moods change. You will change. Whatever happens, you will need to adapt to your new circumstances. Survival of the fittest isn’t just something that exists in science textbooks - it’s what happens in every phase of your life. The ability to learn is what determines whether you sink or swim. Gain the competitive edge and upgrade yourself by learning how to learn: scroll up and click the BUY NOW button.

Mathematical Carnival


Martin Gardner - 1975
    s/t: From Penny Puzzles, Card Shuffles and Tricks of Lightning Calculators to Roller Coaster Rides into the Fourth Dimension

Building a Better Teacher: How Teaching Works (and How to Teach It to Everyone)


Elizabeth Green - 2014
    Yet we still don't know what, precisely, makes a teacher great. Is it a matter of natural-born charisma? Or does exceptional teaching require something more? Building a Better Teacher introduces a new generation of educators exploring the intricate science underlying their art. A former principal studies the country s star teachers and discovers a set of common techniques that help children pay attention. Two math teachers videotape a year of lessons and develop an approach that has nine-year-olds writing sophisticated mathematical proofs. A former high school teacher works with a top English instructor to pinpoint the key interactions a teacher must foster to initiate a rich classroom discussion. Through their stories, and the hilarious and heartbreaking theater that unfolds in the classroom every day, Elizabeth Green takes us on a journey into the heart of a profession that impacts every child in America.What happens in the classroom of a great teacher? Opening with a moment-by-moment portrait of an everyday math lesson a drama of urgent decisions and artful maneuvers Building a Better Teacher demonstrates the unexpected complexity of teaching. Green focuses on the questions that really matter: How do we prepare teachers and what should they know before they enter the classroom? How does one get young minds to reason, conjecture, prove, and understand? What are the keys to good discipline? Incorporating new research from cognitive psychologists and education specialists as well as intrepid classroom entrepreneurs, Green provides a new way for parents to judge what their children need in the classroom and considers how to scale good ideas. Ultimately, Green discovers that good teaching is a skill. A skill that can be taught.A provocative and hopeful book, Building a Better Teacher shows that legendary teachers are more than inspiring; they are perhaps the greatest craftspeople of all."

The Mathematics of Love: Patterns, Proofs, and the Search for the Ultimate Equation


Hannah Fry - 2015
    But that doesn’t mean that mathematics isn’t a crucial tool for understanding love. Love, like most things in life, is full of patterns. And mathematics is ultimately the study of patterns—from predicting the weather to the fluctuations of the stock market, the movement of planets or the growth of cities. These patterns twist and turn and warp and evolve just as the rituals of love do. In The Mathematics of Love, Dr. Hannah Fry takes the reader on a fascinating journey through the patterns that define our love lives, applying mathematical formulas to the most common yet complex questions pertaining to love: What’s the chance of finding love? What’s the probability that it will last? How do online dating algorithms work, exactly? Can game theory help us decide who to approach in a bar? At what point in your dating life should you settle down? From evaluating the best strategies for online dating to defining the nebulous concept of beauty, Dr. Fry proves—with great insight, wit, and fun—that math is a surprisingly useful tool to negotiate the complicated, often baffling, sometimes infuriating, always interesting, mysteries of love.

How to Think Like Leonardo da Vinci: Seven Steps to Genius Every Day


Michael J. Gelb - 1998
    And human beings are gifted with an almost unlimited potential for learning and creativity. Now you can uncover your own hidden abilities, sharpen your senses, and liberate your unique intelligence—by following the example of the greatest genius of all time, Leonardo da Vinci.Acclaimed author Michael J. Gelb, who has helped thousands of people expand their minds to accomplish more than they ever thought possible, shows you how. Drawing on Da Vinci's notebooks, inventions, and legendary works of art, Gelb introduces Seven Da Vincian Principles—the essential elements of genius—from curiosità, the insatiably curious approach to life to connessione, the appreciation for the interconnectedness of all things. With Da Vinci as your inspiration, you will discover an exhilarating new way of thinking. And step-by-step, through exercises and provocative lessons, you will harness the power—and awesome wonder—of your own genius, mastering such life-changing abilities as: •Problem solving •Creative thinking •Self-expression •Enjoying the world around you •Goal setting and life balance •Harmonizing body and mindDrawing on Da Vinci's notebooks, inventions, and legendary works of art, acclaimed author Michael J. Gelb, introduces seven Da Vincian principles, the essential elements of genius, from curiosita, the insatiably curious approach to life, to connessione, the appreciation for the interconnectedness of all things. With Da Vinci as their inspiration, readers will discover an exhilarating new way of thinking. Step-by-step, through exercises and provocative lessons, anyone can harness the power and awesome wonder of their own genius, mastering such life-changing skills as problem solving, creative thinking, self-expression, goal setting and life balance, and harmonizing body and mind.

The Well-Trained Mind: A Guide to Classical Education at Home


Susan Wise Bauer - 1999
    Two veteran home educators outline the classical pattern of education—the trivium—which organizes learning around the maturing capacity of the child's mind: the elementary school "grammar stage," the middle school "logic stage," and the high school "rhetoric stage." Using the trivium as your model, you'll be able to instruct your child in all levels of reading, writing, history, geography, mathematics, science, foreign languages, rhetoric, logic, art, and music, regardless of your own aptitude in those subjects.Newly revised and updated, The Well-Trained Mind includes detailed book lists with complete ordering information; up-to-date listings of resources, publications, and Internet links; and useful contacts.An excellent resource for any family with a desire to incorporate a classical education in their home, whether as a curriculum or as a reference. (Educational Freedom Press)

The One World Schoolhouse: Education Reimagined


Salman Khan - 2012
    Today millions of students, parents, and teachers use the Khan Academy's free videos and software, which have expanded to encompass nearly every conceivable subject; and Academy techniques are being employed with exciting results in a growing number of classrooms around the globe.Like many innovators, Khan rethinks existing assumptions and imagines what education could be if freed from them. And his core idea-liberating teachers from lecturing and state-mandated calendars and opening up class time for truly human interaction-has become his life's passion. Schools seek his advice about connecting to students in a digital age, and people of all ages and backgrounds flock to the site to utilize this fresh approach to learning.In THE ONE WORLD SCHOOLHOUSE, Khan presents his radical vision for the future of education, as well as his own remarkable story, for the first time. In these pages, you will discover, among other things:* How both students and teachers are being bound by a broken top-down model invented in Prussia two centuries ago* Why technology will make classrooms more human and teachers more important* How and why we can afford to pay educators the same as other professionals* How we can bring creativity and true human interactivity back to learning* Why we should be very optimistic about the future of learning.Parents and politicians routinely bemoan the state of our education system. Statistics suggest we've fallen behind the rest of the world in literacy, math, and sciences. With a shrewd reading of history, Khan explains how this crisis presented itself, and why a return to "mastery learning," abandoned in the twentieth century and ingeniously revived by tools like the Khan Academy, could offer the best opportunity to level the playing field, and to give all of our children a world-class education now.More than just a solution, THE ONE WORLD SCHOOLHOUSE serves as a call for free, universal, global education, and an explanation of how Khan's simple yet revolutionary thinking can help achieve this inspiring goal.