Book picks similar to
The Power of Mathematical Visualization by James Tanton


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Human Prehistory and the First Civilizations


Brian M. Fagan - 2002
    This is a world tour of prehistory with profound links to who we are and how we live today.2.5 Million Years of HistoryThis 36-lecture narrative covers human prehistory from our beginnings more than 2.5 million years ago up to and beyond the advent of the world's first preindustrial civilizations.Due to the large spans of time and geography covered in this series, these lectures are divided into six sections:Section I: BeginningsThis section surveys the archaic world of the first humans, you travel into the remote past, learning why the late Harvard biologist Stephen Jay Gould was probably right to observe that we all come from the same African twig on the bushy tree of human evolution.You examine prehistory from Australopithecus africanus through Homo habilis (the first tool-making hominid), and Homo erectus (whose remains were first found on Java but whose origins lie in Africa) through the hardy Neanderthals who lived and hunted successfully in Europe despite the bitter grip of the last Ice Age 100,000 and more years ago. You focus on the first human settlement of Africa as early as 800,000 years ago.Section II: Modern HumansThis section tells the story of the great diaspora of anatomically modern humans in the late Ice Age. Whether and how these modern humans spread from the African tropics into southwestern Asia and beyond remains one of the great controversies among scholars of prehistory.You follow Homo sapiens sapiens north into Europe some 45,000 years ago. You meet the Cro-Magnons, among the first known artists as well as hunter-gatherers, who exhibited degrees of spiritual awareness, social interaction, and fluid intelligence.You venture into the frigid open plains of the Ukraine and Eurasia, where big-game hunters flourished in spite of nine-month winters. Moving to the Americas, debate over the origins of the first human settlement continues.Section III: Farmers and HerdersThis section describes perhaps the most important development in all human prehistory: the beginnings of agriculture and animal domestication.This defining chapter began about 12,000 years ago, when hunter-gatherers in the Near East broke from the long human tradition of intensely mobile foraging and turned to more settled ways of life built around cultivating cereal grains or tending animals.Section IV: Eastern Mediterranean CivilizationsProfessor Fagan describes early civilizations in an increasingly complex eastern Mediterranean world, discussing many theories accounting for the appearance of urban civilization and overall attributes of preindustrial civilizations.You examine Sumerian civilization in Mesopotamia and the intricate patchwork of city-states between the Tigris and Euphrates Rivers. You explore ancient Egypt, the Minoan civilization of Crete, the Mycenaeans, and the Hittites.You learn about the Uluburun shipwreck of southern Turkey, a sealed capsule of international trade from 3,000 years ago.Section V: Africans and AsiansYou analyze the beginnings of South Asian civilization and the mysterious Harappan civilization of the Indus, which traded with Mesopotamia. Professor Fagan resumes the story of South Asian civilization after the collapse of the Harappan and shows how Mauryan rulers on the Ganges encouraged trading much farther afield.You see the impact of monsoons which revolutionized maritime trading among Africa, India, and Southeast Asia, and explore Meroe, Aksum, and the coastal civilization of East Africa.Several lectures cover the beginnings of civilization in China and Southeast Asia.Section VI: Ancient AmericansProfessor Fagan takes you into sophisticated chiefdoms and civilizations that developed in the Americas over the past 3,500 years, including Pueblo cultures of the North American Southwest and the Mississippian culture of the South and Southeast. You learn about Mesoamerican civilization, primordial Olmec culture of the lowlands, and the spectacular ancient Maya civilization.Moving to the highlands, you visit the city-states of Monte Albán in the Valley of Oaxaca and Teotihuacán near the Valley of Mexico. Professor Fagan also describes the rise of Aztec civilization, followed by a journey to the Andes. Finally, you explore the southern highlands, with the rise of Tiwanaku near Lake Titicaca, the Chimu civilization of the coast, and the huge Inka empire.The series closes by analyzing the closing centuries of prehistoric times during the European age of discovery and summarizing the main issues and themes of the course: * What was involved in the archaic world * The appearance and spread of modern humans * Food production * The development of states.

My Best Mathematical and Logic Puzzles


Martin Gardner - 1994
    He was especially careful to present new and unfamiliar puzzles that had not been included in such classic collections as those by Sam Loyd and Henry Dudeney. Later, these puzzles were published in book collections, incorporating reader feedback on alternate solutions or interesting generalizations.The present volume contains a rich selection of 70 of the best of these brain teasers, in some cases including references to new developments related to the puzzle. Now enthusiasts can challenge their solving skills and rattle their egos with such stimulating mind-benders as The Returning Explorer, The Mutilated Chessboard, Scrambled Box Tops, The Fork in the Road, Bronx vs. Brooklyn, Touching Cigarettes, and 64 other problems involving logic and basic math. Solutions are included.

Euclid's Elements


Euclid
    Heath's translation of the thirteen books of Euclid's Elements. In keeping with Green Lion's design commitment, diagrams have been placed on every spread for convenient reference while working through the proofs; running heads on every page indicate both Euclid's book number and proposition numbers for that page; and adequate space for notes is allowed between propositions and around diagrams. The all-new index has built into it a glossary of Euclid's Greek terms.Heath's translation has stood the test of time, and, as one done by a renowned scholar of ancient mathematics, it can be relied upon not to have inadvertantly introduced modern concepts or nomenclature. We have excised the voluminous historical and scholarly commentary that swells the Dover edition to three volumes and impedes classroom use of the original text. The single volume is not only more convenient, but less expensive as well.

Do Dice Play God?: The Mathematics of Uncertainty


Ian Stewart - 2019
    We want to be able to figure out who will win an election, if the stock market will crash, or if a suspect definitely committed a crime. But the odds are not in our favor. Life is full of uncertainty --- indeed, scientific advances indicate that the universe might be fundamentally inexact --- and humans are terrible at guessing. When asked to predict the outcome of a chance event, we are almost always wrong.Thankfully, there is hope. As award-winning mathematician Ian Stewart reveals, over the course of history, mathematics has given us some of the tools we need to better manage the uncertainty that pervades our lives. From forecasting, to medical research, to figuring out how to win Let's Make a Deal, Do Dice Play God? is a surprising and satisfying tour of what we can know, and what we never will.

The Grasshopper King


Jordan Ellenberg - 2003
    Now that its basketball program has fallen apart, CSU’s only claim to fame is its Gravinics Department, dedicated to the study of an obscure European country—its mythology, its extraordinarily difficult language, and especially its bizarre star poet, Henderson.Having discovered Henderson’s poetry in a trash bin, Stanley Higgs becomes the foremost scholar of the poet’s work, accepts a position at Chandler State University, achieves international academic fame, marries the Dean’s daughter, and abruptly stops talking. With all of academia convinced that Higgs is formulating a great truth, the university employs Orwellian techniques to record Higgs’s every potential utterance and to save its reputation. A feckless Gravinics language student, Samuel Grapearbor, together with his long-suffering girlfriend Julia, is hired to monitor Higgs during the day. Over endless games of checkers and shared sandwiches, a uniquely silent friendship develops. As one man struggles to grow up and the other grows old, The Grasshopper King, in all of his glory, emerges.In this debut novel about treachery, death, academia, marriage, mythology, history, and truly horrible poetry, Jordan Ellenberg creates a world complete with its own geography, obscene folklore, and absurdly endearing -characters—a world where arcane subjects flourish and the smallest swerve from convention can result in -immortality.Jordan Ellenberg was born in Potomac, Maryland in 1971. His brilliance as a mathematical prodigy led to a feature in The National Enquirer, an interview with Charlie Rose on CBS’s Nightwatch, and gold medals at the Math Olympiad in Cuba and Germany. He is now an Assistant Professor of Math at Princeton University and his column, "Do the Math," appears regularly in the online journal Slate. This is his first novel.

Dialogues on Mathematics


Alfréd Rényi - 1967
    

12 Small Acts to Save Our World: Simple, Everyday Ways You Can Make a Difference


W.W.F. - 2018
    But small, easy actions, if taken by enough people, can move mountains – and save planets.Written in collaboration with leading environmental experts from WWF, this short book provides simple changes we can all make to our everyday lives, from morning to night.These aren’t the only things you can do. Nor are they things you have to do. But these 12 small acts are basic steps anybody can take, and if even one of them sticks, our children will inherit a better world.Acts like:– Turning off devices instead of leaving them on standby– Buying less cotton clothing (a T-shirt needs 2,400 litres of water to make!)– Using reusable straws when possible– Turning off the tap while you brush your teethwill take only moments, but if enough people commit to them, we can make a real difference to our planet._______________________________'Now really is the time to act. You don’t have to be a superhero – everyone can make a difference by following this book’ – Ben Fogle

How Ideas Spread


Jonah Berger - 2014
    And not only is it an ever-present challenge for businesses, governments, and organizations, but it has long been a source of inquiry for psychologists, economists, and sociologists as well.Now, in How Ideas Spread, discover what researchers studying the science of social transmission have learned. Taught by Jonah Berger - a best-selling author, expert in social dynamics, and faculty member at the Wharton School - this enlightening course draws on lessons from business, social psychology, economics, and popular culture to give you the cross-disciplinary tools necessary to identify and promote contagious ideas that last.Across 12 half-hour lectures filled with absorbing stories and intriguing information, you'll learn the psychological and sociological mechanisms that lead products, ideas, and behaviors to catch on, plus specific techniques that can be applied in your personal and professional life, whatever your field or interest. Listen to one powerful case study after another to find out how to leverage three main concepts—individual psychology, social influence, and social networks—to design infectious messages. Whether you're a professional seeking guidance on crafting products and messages that grab hold, or you just want insights into how viral trends work, this course will open your eyes to the power of contagious ideas.©2014 The Great Courses (P)2014 The Teaching Company, LLC

The Probiotics Revolution: The Definitive Guide to Safe, Natural Health Solutions Using Probiotic and Prebiotic Foods and Supplements


Gary B. Huffnagle - 2007
    Now an internationally recognized scientist at a top U.S. medical school—one of the leading researchers in the field—sheds light on the extraordinary benefits of these natural health superstars. Thanks to an explosion of research in recent years, one thing is clear: probiotics, the healthy bacteria that inhabit the digestive tract, are the body’s silent partners for good health, optimizing the power of the immune system to fight disease and the “bad” germs we fear. But how do they work? And in the face of factors like stress and poor diet, which decrease their numbers, how do you keep your supply well stocked? Here is an up-to-the-minute, highly accessible guide to probiotics and the foods and supplements that contain and support them—many of which may be in your diet already. Discover:The key role of probiotics and prebiotics in restoring healthy balance to our bodies, improving immune system functioning, and curbing inflammationHow to use probiotic foods and supplements to prevent and relieve allergies, inflammatory bowel disease, irritable bowel syndrome, yeast infections, and the negative side effects of antibiotic useNew evidence that probiotics may help fight asthma, cardiovascular disease, breast and colon cancer, autoimmune diseases, chronic fatigue, fibromyalgia—and even obesityNatural sources of prebiotics, the nutrients that help make the digestive tract more hospitable for probiotic bacteriaThe Probiotics Revolution also includes a step-by-step plan for incorporating the many food sources of probiotics and prebiotics into your diet, a complete buyer’s guide to probiotic supplements, and how to introduce probiotics to your family and children.From the Hardcover edition.

Thinking Like an Economist: A Guide to Rational Decision Making


Randall Bartlett - 2010
    But that doesn't mean you need to passively accept whatever outcome those forces might press upon you. Instead, with these 12 fast-moving and crystal clear lectures, you can learn how to use a small handful of basic nuts-and-bolts principles to turn those same forces to your own advantage.Requiring no previous economics background, Professor Bartlett presents some of the fundamental principles and concepts that shape the lenses through which economists view the world. He then shows you how to use these simple analytical tools to understand what you see through those lenses. By learning to identify the many varied situations in which economics affects your life and how to wield the tools that can help you make the wisest choices in those situations, you'll enhance not only your understanding of daily life but your own success in living it.Packed with case studies, helpful strategies, economic insights, and more, this series will equip you with a reliable toolkit for thinking more like an everyday economist and approach the issues in your own life with a more educated, seasoned eye. And after these dozen lectures with Professor Bartlett, things really will look very different. You'll see how basic economic ideas like incentives, risks, rewards, and rationality are not just the province of professional economists, government policymakers, or your local bank's loan officer, but instead lie at the root of nearly every decision you must make in your daily life.

Complexity: A Guided Tour


Melanie Mitchell - 2009
    Based on her work at the Santa Fe Institute and drawing on its interdisciplinary strategies, Mitchell brings clarity to the workings of complexity across a broad range of biological, technological, and social phenomena, seeking out the general principles or laws that apply to all of them. Richly illustrated, Complexity: A Guided Tour--winner of the 2010 Phi Beta Kappa Book Award in Science--offers a wide-ranging overview of the ideas underlying complex systems science, the current research at the forefront of this field, and the prospects for its contribution to solving some of the most important scientific questions of our time.

The Anunnaki of Nibiru: Mankind's Forgotten Creators, Enslavers, Saviors, and Hidden Architects of the New World Order


Gerald R. Clark - 2013
    Access to texts such as the Lost Book of Enoch, the Nag Hamadi Gospels, and the Book of Jubilees, among others is now widely available and, when synthesized and correlated with existing documents like the Bible and Qu'ran, merits rethinking Western civilization's origins and intent.Prepare yourself for a profound belief-challenging journey through ancient Persia, Sumer, Greece, and Atlantis; from Rome to the United States, HQ of the New Atlantis. This book is not like any other in the field: expect the winged-warrior aerial perspective of an Army Attack helicopter pilot, the BS filter of an Electrical Engineer, a Western Medicine-challenging Structural Integrator, and Southern California didgeridoo player all at the same time. Energy and matter, sound entrainment, slave control design methods using the electromagnetic spectrum, eternal life, gravity, and DMT are addressed herein.U.S. public school history ignores the Sumerians, although they are credited with all aspects of modern civilization, influencing both Egypt and Greece alike. Television series produced by the History Channel, like the "Ancient Aliens" Series is assisting the masses in waking up to the fact that the Anunnaki were not a myth, having left physical documents and artifacts backing up their claims to have created mankind, described in highly sophisticated language, as recorded by Atrahasis.It was in South Africa, where the idea was spawned to create a primitive worker, namely mankind, to operate the gold mines, provide temple building manpower, and generally serve every whim the Ancient Astronauts from Nibiru conceived of. Many of the Niburians, referenced in the Biblical Genesis as the Elohim, known to the Sumerians as the Anunnaki, were enthroned as Gods in Mesopotamia.Perhaps it is fitting for Westerners to look into the religious and historical origins for the kings and demigods of Sumer, the first culture to provide evidence of the cuneiform script language, complete with no antecedent. Not only were mundane records, detailed as they were, kept on clay tablets, tens of thousands of which survive to this day, but the history and direct experience accounts of some of the famed inhabitants, like king Gilgamesh of Uruk, introduce us to "Those who from Heaven to Earth Came." The Anunnaki astronauts hailed from a planet, Nibiru, in our own solar system, whose apogee resides in a 3,600 retrograde elliptical orbit beyond Pluto. According to their records, likely using spectroscopy as scientists do today, they located gold on planet Earth. Due to a failing atmosphere on Nibiru, Anu their king, dispatched his preeminent scientist and first-born son, Enki, on a space mission to Earth to recover enough gold that could be ionized in a layer of their atmosphere, as a solar radiation shieldAnunnaki gold mines in Africa have been found and carbon dated. Mining operations were occurring at the exact time and location that the "Genetic Eve Study" indicates: Womankind's genetic origins are undeniably linked to Enki's gold mining operation. Egyptian Queen Sheba's mines ring a bell? Michael Tellinger followed the Sumerian account to Africa, locating many of the mines, homes and temples used by the primitive workers and gods, our true ancestors.Additional source material and limited genealogy tables are included in the Bibliography and Appendix for the reader to explore. More exhaustive ones are available by contacting the author. Now consider your place in the unfolding New World Order. Will you choose the Enlilites or Enkiites to affiliate with, or do you have a choice? Enjoy this intellectual read, it is mind-bending, pineal-gland stimulating, and worth it! Available as Hardback, Audio Book, and Kindle Now!

One, Two, Three...Infinity: Facts and Speculations of Science


George Gamow - 1947
    . . full of intellectual treats and tricks, of whimsy and deep scientific philosophy. It is highbrow entertainment at its best, a teasing challenge to all who aspire to think about the universe." — New York Herald TribuneOne of the world's foremost nuclear physicists (celebrated for his theory of radioactive decay, among other accomplishments), George Gamow possessed the unique ability of making the world of science accessible to the general reader.He brings that ability to bear in this delightful expedition through the problems, pleasures, and puzzles of modern science. Among the topics scrutinized with the author's celebrated good humor and pedagogical prowess are the macrocosm and the microcosm, theory of numbers, relativity of space and time, entropy, genes, atomic structure, nuclear fission, and the origin of the solar system.In the pages of this book readers grapple with such crucial matters as whether it is possible to bend space, why a rocket shrinks, the "end of the world problem," excursions into the fourth dimension, and a host of other tantalizing topics for the scientifically curious. Brimming with amusing anecdotes and provocative problems, One Two Three . . . Infinity also includes over 120 delightful pen-and-ink illustrations by the author, adding another dimension of good-natured charm to these wide-ranging explorations.Whatever your level of scientific expertise, chances are you'll derive a great deal of pleasure, stimulation, and information from this unusual and imaginative book. It belongs in the library of anyone curious about the wonders of the scientific universe. "In One Two Three . . . Infinity, as in his other books, George Gamow succeeds where others fail because of his remarkable ability to combine technical accuracy, choice of material, dignity of expression, and readability." — Saturday Review of Literature

Asimov on Science


Isaac Asimov - 1989
    To celebrate, this book covers his amazing writing career, spanning over four decades and more than 400

The Wild Life of the Fox


John Lewis-Stempel - 2020
    To love and loathe the fox is a British condition."The fox is our apex predator, our most beautiful and clever killer. We have witnessed its wild touch, watched it slink by bins at night and been chilled by its high-pitched scream. And yet we long to stroke the tumbling cubs outside their tunnel homes and watch the vixen stalk the cornfield.There is something about foxes. They captivate us like no other species.Exploring a long and sometimes complicated relationship, The Wild Life of the Fox captures our love – and sometimes loathing – of this magnificent creature in vivid detail and lyrical prose.