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This single-volume resource provides sound, up-to-date information and authoritative resources for research on the controversial topics of the use of marijuana for medical and recreational purposes and the effects of marijuana use on society. The use of marijuana has consistently been a highly controversial, polarizing, and emotional topic, so much so that social, cultural, and religious factors have largely influenced public opinion, legislation, and law enforcement's treatment of marijuana use. At the same time, much of the scientific information about the plant has largely been ignored in the policies and practices of the United States over the past 100 years. Marijuana: A Reference Handbook provides detailed coverage of the history and background of marijuana use in society, with special emphasis on the present day in the United States. It outlines the development of federal and state legislation with respect to marijuana use over the last century, focusing on changes that are taking place in the second decade of the 21st century, and examines the pros and cons of the use of marijuana for a variety of purposes. The book presents readers with unbiased, research-based information about the effects, benefits, and risks of marijuana use. Readers will also learn about the role of hemp across human history and about very recent legislative action on the use of marijuana for both recreational purposes and medical use.
What is algebra? For some, it is an abstract language of x's and y’s. For mathematics majors and professional mathematicians, it is a world of axiomatically defined constructs like groups, rings, and fields. Taming the Unknown considers how these two seemingly different types of algebra evolved and how they relate. Victor Katz and Karen Parshall explore the history of algebra, from its roots in the ancient civilizations of Egypt, Mesopotamia, Greece, China, and India, through its development in the medieval Islamic world and medieval and early modern Europe, to its modern form in the early twentieth century. Defining algebra originally as a collection of techniques for determining unknowns, the authors trace the development of these techniques from geometric beginnings in ancient Egypt and Mesopotamia and classical Greece. They show how similar problems were tackled in Alexandrian Greece, in China, and in India, then look at how medieval Islamic scholars shifted to an algorithmic stage, which was further developed by medieval and early modern European mathematicians. With the introduction of a flexible and operative symbolism in the sixteenth and seventeenth centuries, algebra entered into a dynamic period characterized by the analytic geometry that could evaluate curves represented by equations in two variables, thereby solving problems in the physics of motion. This new symbolism freed mathematicians to study equations of degrees higher than two and three, ultimately leading to the present abstract era. Taming the Unknown follows algebra’s remarkable growth through different epochs around the globe.
Maxwell's equations have led to many important mathematical discoveries. This text introduces mathematics students to some of their wonders.
The world's greatest mental mathematical magician takes us on a spellbinding journey through the wonders of numbers (and more) "Arthur Benjamin . . . 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
This volume contains the proceedings of the Conference on Analysis, Complex Geometry and Mathematical Physics: In Honor of Duong H. Phong, which was held from May 7-11, 2013, at Columbia University, New York. The conference featured thirty speakers who spoke on a range of topics reflecting the breadth and depth of the research interests of Duong H. Phong on the occasion of his sixtieth birthday. A common thread, familiar from Phong's own work, was the focus on the interplay between the deep tools of analysis and the rich structures of geometry and physics. Papers included in this volume cover topics such as the complex Monge-Ampère equation, pluripotential theory, geometric partial differential equations, theories of integral operators, integrable systems and perturbative superstring theory.
A year-long inspirational celebration of the beauty and wisdom of mathematics combines sage quotes by such thinkers as Pythagoras, Richard Feynman and Robert Heinlein with sumptuous images relating to the world of math.
God created a game - it's called The Game of Life. Planet Earth is the playing field, the 10 love commandments are the rules, and we humans are the players who can win or lose. The game is played by two teams, like the game of football. One team's head coach is Jesus and the other team's head coach is Satan. All of us on earth are playing for one of these two teams! Gabriel Ansley Erb wrote the book "2028 END" in order to fully elucidate God's game clock scenario for The Game of Life as contained in the game's handbook, the Holy Bible. The handbook says, "God declared the end from the beginning" (Isaiah 46:10) by using 7 days in the creation event. Each 24 hour creation day foretold of a future 1,000 year period for a total 7,000 year plan God had for The Game of Life to be played on planet earth. And amazingly, to confirm this is all true, God hid a secret prophesy in each creation day foretelling the greatest event He had planned to occur in that day's future millennium!Consequently, Creation day 1 foretold Adam & Eve's fall, which was fulfilled during earth's 1st millennium. Creation day 2 foretold Noah's global flood, which was fulfilled during earth's 2nd millennium. Creation day 3 foretold Moses' Red Sea parting, which was fulfilled during earth's 3rd millennium. Creation day 4 foretold of John the Baptist & Jesus Christ, and so they lived and died during earth's 4th millennium. And the prophecies continue with each Creation day!Gabriel proves all of the above, carefully revealing the prophetic Scriptures as well as the fulfillment Scriptures. Then he reveals a dozen Scriptures proving Christ died earth's 4,000 year and will return earth's 6,000 year. Finally, he proves Christ died Feast of Passover AD 28 and will return Feast of Trumpets 2028. For those who read this book, it is an open and shut case: The Game of Life will end 2,000 years from the year of Christ's death on the cross - AD 2028.