Linear Equations; Vector Spaces; Linear Transformations; Polynomials; Determinants; Elementary canonical Forms; Rational and Jordan Forms; Inner Product Spaces; Operators on Inner Product Spaces; Bilinear Forms For all readers interested in linear algebra.

    Drawing from years of teaching modern physics to nonscientists, Wolfson explains in a lively, conversational style the simple principles underlying Einstein's theory.Relativity, Wolfson shows, gave us a new view of space and time, opening the door to questions about their flexible nature: Is the universe finite or infinite? Will it expand forever or eventually collapse in a "big crunch"? Is time travel possible? What goes on inside a black hole? How does gravity really work? These questions at the forefront of twenty-first-century physics are all rooted in the profound and sweeping vision of Albert Einstein's early twentieth-century theory. Wolfson leads his readers on an intellectual journey that culminates in a universe made almost unimaginably rich by the principles that Einstein first discovered.

    It provides a simple, thorough survey of elementary topics, starting with set theory and advancing to metric and topological spaces, connectedness, and compactness. 1975 edition.

    Here, complete with detailed illustrations and basic as well as advanced solving techniques, is the ultimate speedcuber’s guide. It not only gives the solution to the familiar 3x3x3 cube (which has 43,252,003,274,489,856,000—that’s 43 quintillion—possible positions), but also the 2x2x2, 4x4x4, and staggeringly difficult 5x5x5 puzzles. With millions of cubes out there and countless would-be champions looking for tips to improve their times, this is the definitive manual for this unique sport.

    In Burn Math Class, Jason Wilkes takes the traditional approach to how we learn math -- with its unwelcoming textbooks, unexplained rules, and authoritarian assertions-and sets it on fire. Focusing on how mathematics is created rather than on mathematical facts, Wilkes teaches the subject in a way that requires no memorization and no prior knowledge beyond addition and multiplication. From these simple foundations, Burn Math Class shows how mathematics can be (re)invented from scratch without preexisting textbooks and courses. We can discover math on our own through experimentation and failure, without appealing to any outside authority. When math is created free from arcane notations and pretentious jargon that hide the simplicity of mathematical concepts, it can be understood organically -- and it becomes fun! Following this unconventional approach, Burn Math Class leads the reader from the basics of elementary arithmetic to various "advanced" topics, such as time-dilation in special relativity, Taylor series, and calculus in infinite-dimensional spaces. Along the way, Wilkes argues that orthodox mathematics education has been teaching the subject backward: calculus belongs before many of its so-called prerequisites, and those prerequisites cannot be fully understood without calculus. Like the smartest, craziest teacher you've ever had, Wilkes guides you on an adventure in mathematical creation that will radically change the way you think about math. Revealing the beauty and simplicity of this timeless subject, Burn Math Class turns everything that seems difficult about mathematics upside down and sideways until you understand just how easy math can be.

    From Mary, Queen of Scots, trapped by her own code, to the Navajo Code Talkers who helped the Allies win World War II, to the incredible (and incredibly simple) logisitical breakthrough that made Internet commerce secure, The Code Book tells the story of the most powerful intellectual weapon ever known: secrecy.Throughout the text are clear technical and mathematical explanations, and portraits of the remarkable personalities who wrote and broke the world’s most difficult codes. Accessible, compelling, and remarkably far-reaching, this book will forever alter your view of history and what drives it. It will also make you wonder how private that e-mail you just sent really is.

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

    In those twelve months, Einstein shattered many cherished scientific beliefs with five extraordinary papers that would establish him as the world's leading physicist. This book brings those papers together in an accessible format. The best-known papers are the two that founded special relativity: On the Electrodynamics of Moving Bodies and Does the Inertia of a Body Depend on Its Energy Content? In the former, Einstein showed that absolute time had to be replaced by a new absolute: the speed of light. In the second, he asserted the equivalence of mass and energy, which would lead to the famous formula E = mc2.The book also includes On a Heuristic Point of View Concerning the Production and Transformation of Light, in which Einstein challenged the wave theory of light, suggesting that light could also be regarded as a collection of particles. This helped to open the door to a whole new world--that of quantum physics. For ideas in this paper, he won the Nobel Prize in 1921.The fourth paper also led to a Nobel Prize, although for another scientist, Jean Perrin. On the Movement of Small Particles Suspended in Stationary Liquids Required by the Molecular-Kinetic Theory of Heat concerns the Brownian motion of such particles. With profound insight, Einstein blended ideas from kinetic theory and classical hydrodynamics to derive an equation for the mean free path of such particles as a function of the time, which Perrin confirmed experimentally. The fifth paper, A New Determination of Molecular Dimensions, was Einstein's doctoral dissertation, and remains among his most cited articles. It shows how to calculate Avogadro's number and the size of molecules.These papers, presented in a modern English translation, are essential reading for any physicist, mathematician, or astrophysicist. Far more than just a collection of scientific articles, this book presents work that is among the high points of human achievement and marks a watershed in the history of science. Coinciding with the 100th anniversary of the miraculous year, this new paperback edition includes an introduction by John Stachel, which focuses on the personal aspects of Einstein's youth that facilitated and led up to the miraculous year.

    Crease tells the stories behind ten of the greatest equations in human history. Was Nobel laureate Richard Feynman really joking when he called Maxwell's electromagnetic equations the most significant event of the nineteenth century? How did Newton's law of gravitation influence young revolutionaries? Why has Euler's formula been called "God's equation," and why did a mysterious ecoterrorist make it his calling card? What role do betrayal, insanity, and suicide play in the second law of thermodynamics?The Great Equations tells the stories of how these equations were discovered, revealing the personal struggles of their ingenious originators. From "1 + 1 = 2" to Heisenberg's uncertainty principle, Crease locates these equations in the panoramic sweep of Western history, showing how they are as integral to their time and place of creation as are great works of art.

    Such was his faith in the power of the mind that he was able to conclude that what you think, you become.The mind is a powerful thing to have. The thoughts that run through your mind shape and become your reality. You are one huge magnet. You attract into your life the energy that vibrates in the same frequency that your thoughts are vibrating into. If you think negative thoughts, then you will also attract the same level of negative energy. If you allow positive thoughts to flow through your mind, then positive things will also come your way.The life that you are living now is the product of your thoughts. Your mind is so powerful that it can create and destroy things at a blink of an eye. Everything begins and ends in your mind. You can give it the power to enslave you or you can empower yourself to control it.Be mindful of your own thoughts. Learn to select them the way that you would select the clothes that you would wear. You can’t control life from happening but you can control your mind and the thoughts that run through it and once you do, you will begin to gain control over your life. This book will help you understand why you have been losing focus. It was written in a light manner to help you better grasp the reasons for lack of focus in your life. There are no complex theories and concepts to comprehend. This book was written for you to help you find your way back to you. It was written to light your way towards your dreams and aspirations. It was written to give you the courage to regain control of your life.Give yourself the gift of focus by reading this book. Allow yourself to break free from your fears and apprehension. Learn how to take charge of your life.Most of all, this book will show you ten easy and simple ways to control your mind. As you begin to regain control of your life, this book will be your guide, your mentor and your friend. It will walk you through each step as if you were talking to a life coach yourself. It will help you overcome the challenges that will come your way. It will not just tell what to do to stay focused, it will also show you how.Dive into this book with an open mind. Allow it to help you gain control over your life. Let it reveal to you the things that are keeping you from achieving your true potential. Let it show you the way towards success, happiness and fulfillment. Allow this book to speak to you. Let it empower you. You are brought into this world for a reason. Do not let anything or anyone distract you from your true destiny. You are what you think you are. Don’ t ever doubt that. This book will help you see that.

    This edition contains NEW tables on Properties of Ionic Liquids, Solubilities of Hydrocarbons in Sea Water, Solubility of Organic Compounds in Superheated Water, and Nutritive Value of Foods. It also updates many tables including Critical Constants, Heats of Vaporization, Aqueous Solubility of Organic Compounds, Vapor Pressure of Mercury, Scientific Abbreviations and Symbols, and Bond Dissociation Energies. The 88th Edition also presents a new Foreword written by Dr. Harold Kroto, a 1996 Nobel Laureate in Chemistry.

    New co-authors--Irl Bivens and Stephen Davis--from Davidson College; both distinguished educators and writers.* More emphasis on graphing calculators in exercises and examples, including CAS capabilities of graphing calculators.* More problems using tabular data and more emphasis on mathematical modeling.

    Since David Horowitz wrote “The Shadow Party” in 2007, there has been a major breakthrough in the progression of Soros’ plan to racially change American institutions – he has succeeded in subverting and taking over the Democratic Party itself. Though Soros has carefully hidden his goals under the cloak of his philanthropy, Horowitz and John Perazzo expose Soros’ radical agenda in this booklet and show how his philanthropies actually work to advance his leftwing causes. Understanding the Soros agenda is critical for understanding and defeating the Obama agenda, because they have, in effect, become one in the same.

    

    Until, at the tender age of sixteen, he worked out how to use the credit card system to his advantage. Identifying the banks' security weaknesses, utilising his intelligence and charm, Elliot embarked on a massive spending spree. From London to New York, Ibiza to Beverly Hills, he lived the fantasy life, staying in famous hotels, flying first class, blowing a fortune on designer clothes. Time and time again, Elliot managed to wriggle free of the numerous authorities who were on his tail, while his life spiralled out of control. Meanwhile, from a police station at Heathrow, a detective was patiently tracking him down . . . With a likeable hero, filled with humour and as fast-paced as a thriller, Other People's Money is crime writing at its best.'A fascinating and illuminating story' Irvine Welsh'Exhilarating Brit variation on Catch Me if You Can, which never misses an opportunity to up the sweaty-palmed suspense.' "Arena"