Calculus, Better Explained: A Guide To Developing Lasting Intuition


Kalid Azad - 2015
     Learn the essential concepts using concrete analogies and vivid diagrams, not mechanical definitions. Calculus isn't a set of rules, it's a specific, practical viewpoint we can apply to everyday thinking. Frustrated With Abstract, Mechanical Lessons? I was too. Despite years of classes, I didn't have a strong understanding of calculus concepts. Sure, I could follow mechanical steps, but I had no lasting intuition. The classes I've seen are too long, taught in the wrong order, and without solid visualizations. Here's how this course is different: 1) It gets to the point. A typical class plods along, saving concepts like Integrals until Week 8. I want to see what calculus can offer by Minute 8. Each compact, tightly-written lesson can be read in 15 minutes. 2) Concepts are taught in their natural order. Most classes begin with the theory of limits, a technical concept discovered 150 years after calculus was invented. That's like putting a new driver into a Formula-1 racecar on day 1. We can begin with the easy-to-grasp concepts discovered 2000 years ago. 3) It has vivid analogies and visualizations. Calculus is usually defined as the "study of change"... which sounds like history or geology. Instead of an abstract definition, we'll see calculus a step-by-step viewpoint to explore patterns. 4) It's written by a human, for humans. I'm not a haughty professor or strict schoolmarm. I'm a friend who saw a fun way to internalize some difficult ideas. This course is a chat over coffee, not a keep-your-butt-in-your-seat lecture. The goal is to help you grasp the Aha! moments behind calculus in hours, not a painful semester (or a decade, in my case). Join Thousands Of Happy Readers Here's a few samples of anonymous feedback as people went through the course. The material covers a variety of levels, whether you're looking for intuitive appreciation or the specifics of the rules. "I've done all of this stuff before, and I do understand calculus intuitively, but this was the most fun I've had going through this kind of thing. The informal writing and multitude of great analogies really helps this become an enjoyable read and the rest is simple after that - you make this seem easy, but at the same time, you aren't doing it for us…This is what math education is supposed to be like :)" "I have psychology and medicine background so I relate your ideas to my world. To me the most useful idea was what each circle production feels like. Rings are natural growth…Slices are automatable chunks and automation cheapens production… Boards in the shape on an Arch are psychologically most palatable for work (wind up, hard part, home stretch). Brilliant and kudos, from one INTP to another." "I like how you're introducing both derivatives and integrals at the same time - it's really helps with understanding the relationship between them. Also, I appreciate how you're coming from such a different angle than is traditionally taken - it's always interesting to see where you decide to go next." "That was breathtaking. Seriously, mail my air back please, I've grown used to it. Beautiful work, thank you. Lesson 15 was masterful. I am starting to feel calculus. "d/dx is good" (sorry, couldn't resist!)."

Ten Black Dots


Donald Crews - 1968
    From Donald Crews, the Caldecott Honor artist and award-winning creator of Truck, Freight Train, and many other classic picture books for young children, this picture book is a fun introduction to basic math concepts.What can you do with ten black dots?One dot can make a sun, two dots can make the eyes of a fox, and three dots can make a snowman's face.And that's just the beginning in this unique counting book! Children will develop visual learning skills, explore creativity, and practice counting numbers, all in one deceptively simple—and fun!—picture book.A proven favorite at home and in the preschool classroom.

Treasury of Egyptian Mythology: Classic Stories of Gods, Goddesses, Monsters & Mortals


Donna Jo Napoli - 2013
    The lyrical storytelling of award-winning author Donna Jo Napoli dramatizes the timeless tales of ancient Egypt in the year when Angelina Jolie will make Cleopatra a multimedia star. And just like the popular National Geographic Treasury of Greek Mythology, the stories in this book will be beautifully illustrated to bring ancient characters vividly to life. The stories are embellished with sidebars that provide historical, cultural, and geographic context and a mapping feature that adds to the fun and fascination. Resource notes and ample back matter direct readers to discover more about ancient Egypt. With its attractive design and beautiful narrative, this accessible treasury stands out from all other mythology titles in the marketplace.

Actual Size


Steve Jenkins - 2004
    Sometimes you need to see things for yourself—at their actual size.

Dolphins! (Step into Reading, Step 3)


Sharon Bokoske - 1992
    in full color. Chock-full of information about the most sensitive, intelligent, and friendly of large aquatic creatures, Dolphins! should fare swimmingly with kids who read about whales and sharks.

Botanicum


Katie Scott - 2016
    With artwork from Katie Scott of Animalium fame, Botanicum gives readers the experience of a fascinating exhibition from the pages of a beautiful book. From perennials to bulbs to tropical exotica, Botanicum is a wonderful feast of botanical knowledge complete with superb cross sections of how plants work.

Thank You, Mr. Falker


Patricia Polacco - 1998
    A perfect gift for teachers and for reading students of any age.Patricia Polacco is now one of America's most loved children's book creators, but once upon a time, she was a little girl named Trisha starting school. Trisha could paint and draw beautifully, but when she looked at words on a page, all she could see was jumble. It took a very special teacher to recognize little Trisha's dyslexia: Mr. Falker, who encouraged her to overcome her reading disability. Patricia Polacco will never forget him, and neither will we.This inspiring story is available in a deluxe slipcased edition, complete with a personal letter to readers from Patricia Polacco herself. Thank You, Mr. Falker will make a beautiful gift for the special child who needs encouragement or any special teacher who has made a difference in the child's life.

Hana's Suitcase: A True Story


Karen Levine - 2002
    In 2000, a suitcase arrived at a children's Holocaust education center in Tokyo, Japan, marked "Hana Brady, May 16, 1931." The center's curator searches for clues to young Hana and her family, whose happy life in a small Czech town was turned upside down by the invasion of the Nazis.

Animalium


Jenny Broom - 2014
    Open 365 days a year and unrestricted by the constraints of physical space, each title in this series is organized into galleries that display more than 200 full-color specimens accompanied by lively, informative text. Offering hours of learning, this first title within the series "Animalium" presents the animal kingdom in glorious detail with illustrations from Katie Scott, an unparalleled new talent.

Math Through the Ages: A Gentle History for Teachers and Others


William P. Berlinghoff - 2002
    Each sketch contains Questions and Projects to help you learn more about its topic and to see how its main ideas fit into the bigger picture of history. The 25 short stories are preceded by a 56-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. Reading suggestions after each sketch provide starting points for readers who want to pursue a topic further."

The Principia: Mathematical Principles of Natural Philosophy


Isaac Newton - 1687
    Even after more than three centuries and the revolutions of Einsteinian relativity and quantum mechanics, Newtonian physics continues to account for many of the phenomena of the observed world, and Newtonian celestial dynamics is used to determine the orbits of our space vehicles.This completely new translation, the first in 270 years, is based on the third (1726) edition, the final revised version approved by Newton; it includes extracts from the earlier editions, corrects errors found in earlier versions, and replaces archaic English with contemporary prose and up-to-date mathematical forms. Newton's principles describe acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. A great work in itself, the Principia also revolutionized the methods of scientific investigation. It set forth the fundamental three laws of motion and the law of universal gravity, the physical principles that account for the Copernican system of the world as emended by Kepler, thus effectively ending controversy concerning the Copernican planetary system.The illuminating Guide to the Principia by I. Bernard Cohen, along with his and Anne Whitman's translation, will make this preeminent work truly accessible for today's scientists, scholars, and students.

The Big Book of Brain Games: 1,000 PlayThinks of Art, Mathematics Science


Ivan Moscovich - 2006
    With jampacked pages and a full-color illustration for each entry, the book, opened anywhere, is a call to action. (And it’s guaranteed to make you smarter.) Twelve basic categories include Geometry, Patterns, Numbers, Logic and Probability, and Perception. An easy-to-read key at the top of each game ranks its difficulty on a scale of 1 to 10, while indices in the back cross-reference the puzzles. (You’ll find the answers back there, too.)

Game Changer: AlphaZero's Groundbreaking Chess Strategies and the Promise of AI


Matthew Sadler - 2019
    The artificial intelligence system, created by DeepMind, had been fed nothing but the rules of the Royal Game when it beat the world’s strongest chess engine in a prolonged match. The selection of ten games published in December 2017 created a worldwide sensation: how was it possible to play in such a brilliant and risky style and not lose a single game against an opponent of superhuman strength?For Game Changer, Matthew Sadler and Natasha Regan investigated more than two thousand previously unpublished games by AlphaZero. They also had unparalleled access to its team of developers and were offered a unique look ‘under the bonnet’ to grasp the depth and breadth of AlphaZero’s search. Sadler and Regan reveal its thinking process and tell the story of the human motivation and the techniques that created AlphaZero.Game Changer also presents a collection of lucidly explained chess games of astonishing quality. Both professionals and club players will improve their game by studying AlphaZero’s stunning discoveries in every field that matters: opening preparation, piece mobility, initiative, attacking techniques, long-term sacrifices and much more.The story of AlphaZero has a wider impact. Game Changer offers intriguing insights into the opportunities and horizons of Artificial Intelligence. Not just in solving games, but in providing solutions for a wide variety of challenges in society.With a foreword by former World Chess Champion Garry Kasparov and an introduction by DeepMind CEO Demis Hassabis.Matthew Sadler (1974) is a Grandmaster who twice won the British Championship and was awarded an individual Gold Medal at the 1996 Olympiad. He has authored several highly acclaimed books on chess and has been writing the famous ‘Sadler on Books’ column for New In Chess magazine for many years. Natasha Regan is a Women’s International Master from England who achieved a degree in mathematics from Cambridge University. Matthew Sadler and Natasha Regan won the English Chess Federation 2016 Book of the Award for their book Chess for Life.

Great Estimations


Bruce Goldstone - 2006
    Do you see more than five jelly beans? Less than a million? This unique book will show you how to train your eyes and your mind to make really great estimations—by making estimating into a game. Jelly beans are just the beginning! This title has Common Core connections.Great Estimations is a 2007 Bank Street - Best Children's Book of the Year.

Mathematics for the Million: How to Master the Magic of Numbers


Lancelot Hogben - 1937
    His illuminating explanation is addressed to the person who wants to understand the place of mathematics in modern civilization but who has been intimidated by its supposed difficulty. Mathematics is the language of size, shape, and order—a language Hogben shows one can both master and enjoy.