Since its publication in 1908, it has been a classic work to which successive generations of budding mathematicians have turned at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of a missionary with the rigor of a purist in his exposition of the fundamental ideas of the differential and integral calculus, of the properties of infinite series and of other topics involving the notion of limit.

    Topics covered in the book include linear equations, ratios, quadratic equations, special factorizations, complex numbers, graphing linear and quadratic equations, linear and quadratic inequalities, functions, polynomials, exponents and logarithms, absolute value, sequences and series, and much more!The text is structured to inspire the reader to explore and develop new ideas. Each section starts with problems, giving the student a chance to solve them without help before proceeding. The text then includes solutions to these problems, through which algebraic techniques are taught. Important facts and powerful problem solving approaches are highlighted throughout the text. In addition to the instructional material, the book contains well over 1000 problems.This book can serve as a complete Algebra I course, and also includes many concepts covered in Algebra II. Middle school students preparing for MATHCOUNTS, high school students preparing for the AMC, and other students seeking to master the fundamentals of algebra will find this book an instrumental part of their mathematics libraries.656About the author: Richard Rusczyk is a co-author of Art of Problem Solving, Volumes 1 and 2, the author of Art of Problem Solving's Introduction to Geometry. He was a national MATHCOUNTS participant, a USA Math Olympiad winner, and is currently director of the USA Mathematical Talent Search.

    It places the basics of astronomy and the process of science within the grasp of introductory students. Package Universe, Eighth Edition with FREE Starry Night CD!use Package ISBN 0-7167-9564-7 SPLIT VOLUMESIn addition to the complete 28-chapter version of Universe, two shorter versions are also available:Universe: The Solar System, Third Edition(Chapters 1-16 and 28)0-7167-9563-9; w/FREE Starry Night CD, 0-7167-9562-0Universe: Stars and Galaxies, Third Edition(Chapters 1-8 which includes a two-chapter overview of the solar system) and Chapters 16-28)0-7167-9561-2; w/FREE Starry Night CD, 0-7167-9565-5

    With his own research as well as that of some of the most distinguished scientists of our time, Schäfer moves us from a reality of Darwinian competition to cooperation, a meaningless universe to a meaningful one, and a disconnected, isolated existence to an interconnected one. In so doing, he shows us that our potential is infinite and calls us to live in accordance with the order of the universe, creating a society based on the cosmic principle of connection, emphasizing cooperation and community.

    The author has a direct style. His book presents detailed and intensive explanations. Many diagrams and key examples are used to aid understanding, as well as the application of calculus to physics and engineering and economics. The text is well organized, and it covers single variable and multivariable calculus in depth. An instructor's manual and student guide are available online at http: //ocw.mit.edu/ans7870/resources/Strang/....

    The more we discover, the more puzzling the universe appears to be. How and why are the laws of nature what they are? A philosopher and a physicist, world-renowned for their radical ideas in their fields, argue for a revolution. To keep cosmology scientific, we must replace the old view in which the universe is governed by immutable laws by a new one in which laws evolve. Then we can hope to explain them. The revolution that Roberto Mangabeira Unger and Lee Smolin propose relies on three central ideas. There is only one universe at a time. Time is real: everything in the structure and regularities of nature changes sooner or later. Mathematics, which has trouble with time, is not the oracle of nature and the prophet of science; it is simply a tool with great power and immense limitations. The argument is readily accessible to non-scientists as well as to the physicists and cosmologists whom it challenges.

    Targeted at the novice market, this self-instruction guide to electronics and electricity has been fully updated to include the latest emerging technologies, including wireless communications, computers and the Internet.

    Whether you were the king's court astrologer or a farmer marking the best time for planting, timekeeping and numbers really mattered. Mistake a numerical pattern of petals and you could be poisoned. Lose the rhythm of a sacred dance or the meter of a ritually told story and the intricately woven threads that hold life together were spoiled. Ignore the celestial clock of equinoxes and solstices, and you'd risk being caught short of food for the winter. Shesso's friendly tone and clear grasp of the information make the math "go down easy" in this marvelous book.BONUS: This book has over 100 illustrations! Click on the Google Preview link to get a glimpse.Excerpt from Math for Mystics: “It’s our collective malaise: Post-Traumatic Math Disorder.“Yet despite how we personally feel about mathematics, our distant ancestors willingly used numbers as pathways into the great patterns of Nature, avenues to understanding the Universe and their own place in it. Many ancient cultures had specific gods and goddesses they credited with inventing mathematical skills. With the aid of divine inspiration and assistance, humans nourished this numerical invention, continually pushing their skills and seeking greater clarity of expression. “Our starting point may seem like a Zero. But for now, before looking at numbers and math, let’s simply see it as a circle. No matter what our spiritual practice, we each live within the circle of creation, each within the circle—the cohesiveness—of our own form...” From John Michael Greer, Grand Archdruid, Ancient Order of Druids in America and author of The Druidry Handbook:“As thoughtful as it is readable, Renna Shesso’s Math for Mystics is the book I wish I had when I first started trying to make sense of the mathematics that underlie so much of modern magic and traditional occult lore. Not the least of its virtues is the way it makes magical number theory accessible even to those who think they don’t like or can’t handle math. It provides a first-rate introduction to a fairly neglected branch of magical lore.”

    This process of “self-organization” reveals itself in the inanimate worlds of crystals and seashells, but as Len Fisher shows, it is also evident in living organisms, from fish to ants to human beings. The coordinated movements of fish in shoals, for example, arise from the simple rule: “Follow the fish in front.” Traffic flow arises from simple rules: “Keep your distance” and “Keep to the right.”Now, in his new book, Fisher shows how we can manage our complex social lives in an ever more chaotic world. His investigation encompasses topics ranging from “swarm intelligence” to the science of parties and the best ways to start a fad. Finally, Fisher sheds light on the beauty and utility of complexity theory. An entertaining journey into the science of everyday life, The Perfect Swarm will delight anyone who wants to understand the complex situations in which we so often find ourselves.

    You will use it from high school to college and beyond. The full version is absolutely FREE. Features Conversion of over 1,000 units. Metric, English, and US customary systems. Length, Area, Volume, Speed, Force, Energy, Electricity, Viscosity, Temperature, and more. List of powers of 10 prefixes. Explanation of SI writing style. Approximate conversion of units. Clear and concise explanations. Difficult concepts are explained in simple terms. Navigate from Table of Contents or search for words or phrases. Add bookmarks and annotation. Access the guide anytime, anywhere - at home, on the train, in the subway. Use your down time to prepare for an exam. Always have the guide available for a quick reference. Indispensable resource for technical and life science students. The full version is absolutely FREE. FREE updates. Table of Contents Conversion of units: Length: Definition | Conversion Area: Definition | 2-D Formulae | 3-D Formulae | Conversion Volume: Definition | Formulae | Conversion Angle: Definition | Conversion Mass: Definition | Conversion Time: Definition | Conversion Speed: Definition | Conversion Acceleration: Definition | Conversion Force: Definition | Conversion Pressure or mechanical stress: Definition | Conversion Energy, work, or heat: Definition | Conversion Power: Definition | Conversion Angular momentum: Definition | Conversion Electricity: Current | Charge | Resistance | Voltage | Formulae | Conversion Viscosity: Definition | Conversion Information entropy: Definition | Conversion Temperature: Definition | Conversion Approximate conversion of units History: Systems of measurement | History of measurement Metric system (SI): Definition | SI writing style | Powers of 10 prefixes Other Systems: English system | Imperial unit | United States customary units | Comparison of the Imperial and U.S. customary systems

    He was never seen again. In A Brilliant Darkness, theoretical physicist João Magueijo tells the story of Majorana and his research group, “the Via Panisperna Boys,” who discovered atomic fission in 1934. As Majorana, the most brilliant of the group, began to realize the implications of what they had found, he became increasingly unstable. Did he commit suicide that night in Palermo? Was he kidnapped? Did he stage his own death?A Brilliant Darkness chronicles Majorana’s invaluable contributions to science—including his major discovery, the Majorana neutrino—while revealing the truth behind his fascinating and tragic life.

    Reactions begins with the chemical formula almost everyone knows--the formula for water, H2O--a molecule with an "almost laughably simple chemical composition." But Peter Atkins shows that water is also rather miraculous--it is the only substance whose solid form is less dense than its liquid (hence ice floats in water)--and incredibly central to many chemical reactions, as it is an excellent solvent, being able to dissolve gases and many solids. Moreover, Atkins tells us that water is actually chemically aggressive, and can react with and destroy the compounds dissolved in it, and he also shows us what happens at the molecular level when water turns to ice--and when it melts. Moving beyond water, Atkins slowly builds up a toolkit of basic chemical processes, including precipitation (perhaps the simplest of all chemical reactions), combustion, reduction, corrosion, electrolysis, and catalysis. He then shows how these fundamental tools can be brought together in more complex processes such as photosynthesis, radical polymerization, vision, enzyme control, and synthesis. Peter Atkins is a world-renowned chemist who has taught at Oxford for decades and has an established track record as a popular science writer. In this crystal-clear, attractively illustrated, and insightful volume, Atkins treats the reader to a fantastic introductory tour--in just a few hundred colorful and lively pages.

    Quantum paradoxes and the eventful life of Schroedinger's Cat are explained, along with the Many Universe explanation of quantum measurement in this newly revised edition. Updated throughout, the book also looks ahead to the nanotechnology revolution and describes quantum cryptography, computing and teleportation. Including an account of quantum mechanics and science fiction, this accessible book is geared to the general reader. Anthony Hey teaches at the University of Southampton, UK, and is the co-author of several books, including two with Patrick Walters, The Quantum Universe (Cambridge, 1987), and Einstein's Mirror (Cambridge, 1997). Patrick Walters is a Lecturer in Continuing Education at the University of Wales at Swansea. He co-ordinates the Physical Science Programme in DACE which includes the Astronomy Programme. His research interests include science education, and he also writes non-technical books on science for the general reader and beginning undergraduates. First Edition Pb (1987): 0-521-31845-9

    And everything that is alive traces back to things that, puzzlingly, weren't. For centuries, the scientific question of life's origins has confounded us. But in Every Life is on Fire, physicist Jeremy England argues that the answer has been under our noses the whole time, deep within the laws of thermodynamics. England explains how, counterintuitively, the very same forces that tend to tear things apart assembled the first living systems.But how life began isn't just a scientific question. We ask it because we want to know what it really means to be alive. So England, an ordained rabbi, uses his theory to examine how, if at all, science helps us find purpose in a vast and mysterious universe.In the tradition of Viktor Frankl's Man's Search for Meaning, Every Life is on Fire is a profound testament to how something can come from nothing.

    But, Alex Bellos says, "math can be inspiring and brilliantly creative. Mathematical thought is one of the great achievements of the human race, and arguably the foundation of all human progress. The world of mathematics is a remarkable place."Bellos has traveled all around the globe and has plunged into history to uncover fascinating stories of mathematical achievement, from the breakthroughs of Euclid, the greatest mathematician of all time, to the creations of the Zen master of origami, one of the hottest areas of mathematical work today. Taking us into the wilds of the Amazon, he tells the story of a tribe there who can count only to five and reports on the latest findings about the math instinct--including the revelation that ants can actually count how many steps they've taken. Journeying to the Bay of Bengal, he interviews a Hindu sage about the brilliant mathematical insights of the Buddha, while in Japan he visits the godfather of Sudoku and introduces the brainteasing delights of mathematical games.Exploring the mysteries of randomness, he explains why it is impossible for our iPods to truly randomly select songs. In probing the many intrigues of that most beloved of numbers, pi, he visits with two brothers so obsessed with the elusive number that they built a supercomputer in their Manhattan apartment to study it. Throughout, the journey is enhanced with a wealth of intriguing illustrations, such as of the clever puzzles known as tangrams and the crochet creation of an American math professor who suddenly realized one day that she could knit a representation of higher dimensional space that no one had been able to visualize. Whether writing about how algebra solved Swedish traffic problems, visiting the Mental Calculation World Cup to disclose the secrets of lightning calculation, or exploring the links between pineapples and beautiful teeth, Bellos is a wonderfully engaging guide who never fails to delight even as he edifies. "Here's Looking at Euclid "is a rare gem that brings the beauty of math to life.