This is the currently used textbook for "Probabilistic Systems Analysis," an introductory probability course at the Massachusetts Institute of Technology, attended by a large number of undergraduate and graduate students. The book covers the fundamentals of probability theory (probabilistic models, discrete and continuous random variables, multiple random variables, and limit theorems), which are typically part of a first course on the subject. It also contains, a number of more advanced topics, from which an instructor can choose to match the goals of a particular course. These topics include transforms, sums of random variables, least squares estimation, the bivariate normal distribution, and a fairly detailed introduction to Bernoulli, Poisson, and Markov processes. The book strikes a balance between simplicity in exposition and sophistication in analytical reasoning. Some of the more mathematically rigorous analysis has been just intuitively explained in the text, but is developed in detail (at the level of advanced calculus) in the numerous solved theoretical problems. The book has been widely adopted for classroom use in introductory probability courses within the USA and abroad.

    It emphasizes forms suitable for students and researchers whose interest lies in solving equations rather than in general theory. Solutions to odd-numbered problems appear at the end. 1957 edition.

    Now he brings his considerable talents to the history of one of math's most enduring puzzles: the seemingly paradoxical nature of infinity.Is infinity a valid mathematical property or a meaningless abstraction? The nineteenth-century mathematical genius Georg Cantor's answer to this question not only surprised him but also shook the very foundations upon which math had been built. Cantor's counterintuitive discovery of a progression of larger and larger infinities created controversy in his time and may have hastened his mental breakdown, but it also helped lead to the development of set theory, analytic philosophy, and even computer technology.Smart, challenging, and thoroughly rewarding, Wallace's tour de force brings immediate and high-profile recognition to the bizarre and fascinating world of higher mathematics.

    This conception of the machine as an arrangement of technical, bodily, intellectual, and social components subverts the opposition between man and machine, organism and mechanism, individual and community.Drawing from an unusual range of films, literature, and performance—from the role of bicycles in Flann O'Brien's fiction to Vittorio de Sica's Neorealist film The Bicycle Thieves, and from Karl Marx's “Fragment on Machines” to the deus ex machina of Greek drama—Raunig arrives at an enhanced conception of the machine as a social movement, finding its most apt and concrete manifestation in the Euromayday movement, which since 2001 has become a transnational activist and discursive practice focused upon the precarious nature of labor and lives.

    Attitudes Toward History followed it two years later. These were revolutionary texts in the theory of communication, and, as classics, they retain their surcharge of energy. Permanence and Change treats human communication in terms of ideal cooperation, whereas Attitudes Towards History characterizes tactics and patterns of conflict typical of actual human associations. It is in Permanence and Change that Burke establishes in path-breaking fashion that form permeates society just as it does poetry and the arts. Hence, his master idea that forms of art are not exclusively aesthetic: the cycles of a storm, the gradations of a sunrise, the stages of an epidemic, the undoing of Prince Hamlet are all instances of progressive form. This new edition of Permanence and Change reprints Hugh Dalziel Duncan's long sociological introduction and includes a substantial new afterward in which Burke reexamines his early ideas in light of subsequent developments in his own thinking and in social theory.

    In our age of political polarization and environmental destruction, Stoicism's empowering message has taken on new relevance. In Being Better, Kai Whiting and Leonidas Konstantakos apply Stoic principles to contemporary issues such as social justice, climate breakdown, and the excesses of global capitalism. They show that Stoicism is not an ivory-tower philosophy or a collection of Silicon Valley life hacks but a vital way of life that helps us live simply, improve our communities, and find peace in a turbulent world.

    Just read this till the end You don’t have to buy this book. Just read this till end & you will learn something that will change the way you do math forever. Warning: I am revealing this secret only to the first set of readers who will buy this book & plan to put this secret back inside the book once I have enough sales. So read this until the very end while you still can.School taught you the wrong way to do mathThe way you were taught to do math, uses a lot of working memory. Working memory is the short term memory used to complete a mental task. You struggle because trying to do mental math the way you were taught in school, overloads your working memory. Let me show you what I mean with an example:Try to multiply the 73201 x 3. To do this you multiply the following:1 x 3 =0 x 3 =2 x 3 =3 x 3 =7 x 3 =This wasn’t hard, & it might have taken you just seconds to multiply the individual numbers. However, to get the final answer, you need to remember every single digit you calculated to put them back together. It takes effort to get the answer because you spend time trying to recall the numbers you already calculated. Math would be easier to do in your head if you didn’t have to remember so many numbers. Imagine when you tried to multiply 73201 x 3, if you could have come up with the answer, in the time it took you to multiply the individual numbers. Wouldn’t you have solved the problem faster than the time it would have taken you to punch in the numbers inside a calculator? Do the opposite of what you were taught in schoolThe secret of doing mental math is to calculate from left to right instead of from right to left. This is the opposite of what you were taught in school. This works so well because it frees your working memory almost completely. It is called the LR Method where LR stands for Left to Right.Lets try to do the earlier example where we multiplied 73201 x 3. This time multiply from left to right, so we get:7 x 3 = 213 x 3 = 93 x 2 = 60 x 3 = 03 x 1 = 3Notice that you started to call out the answer before you even finished the whole multiplication problem. You don’t have to remember a thing to recall & use later. So you end up doing math a lot faster. The Smart ChoiceYou could use what you learnt & apply it to solve math in the future. This might not be easy, because we just scratched the surface. I've already done the work for you. Why try to reinvent the wheel, when there is already a proven & tested system you can immediately apply. This book was first available in video format & has helped 10,000+ students from 132 countries. It is available at ofpad.com/mathcourse to enroll. This book was written to reach students who consume the information in text format. You can use the simple techniques in this book to do math faster than a calculator effortlessly in your head, even if you have no aptitude for math to begin with.Imagine waking up tomorrow being able to do lightning fast math in your head. Your family & friends will look at you like you are some kind of a genius. Since calculations are done in your head, you will acquire better mental habits in the process. So you will not just look like a genius. You will actually be one. Limited Time BonusWeekly training delivered through email for $97 is available for free as a bonus at the end of this book for the first set of readers. Once we have enough readers, this bonus will be charged $97. Why Price Is So LowThis book is priced at a ridiculous discount only to get our first set of readers. When we have enough readers the price will go up.

    In the four main sections of the book, Stein tells the stories of the mathematical thinkers who discerned some of the most fundamental aspects of our universe. From their successes and failures, delusions, and even duels, the trajectories of their innovations—and their impact on society—are traced in this fascinating narrative. Quantum mechanics, space-time, chaos theory and the workings of complex systems, and the impossibility of a "perfect" democracy are all here. Stein's book is both mind-bending and practical, as he explains the best way for a salesman to plan a trip, examines why any thought you could have is imbedded in the number π , and—perhaps most importantly—answers one of the modern world's toughest questions: why the garage can never get your car repaired on time.Friendly, entertaining, and fun, How Math Explains the World is the first book by one of California's most popular math teachers, a veteran of both "math for poets" and Princeton's Institute for Advanced Studies. And it's perfect for any reader wanting to know how math makes both science and the world tick.

    How do scientists look at chance, or randomness, and chaos in physical systems? In answering this question for a general audience, Ruelle writes in the best French tradition: he has produced an authoritative and elegant book--a model of clarity, succinctness, and a humor bordering at times on the sardonic.

    You can use these ideas and methods as-is, or better yet, tweak them and create your own enticing educational meals. The message the authors share is that, with imagination and preparation, every teacher can be a Classroom Chef.

    It is based on the idea that everyone acts competitively and in his own best interest. With the help of mathematical models, it is possible to anticipate the actions of others in nearly all life's enterprises. This book includes down-to-earth examples and solutions, as well as charts and illustrations designed to help teach the concept. In The Complete Idiot's Guide® to Game Theory, Dr. Edward C. Rosenthal makes it easy to understand game theory with insights into:? The history of the disciple made popular by John Nash, the mathematician dramatized in the film A Beautiful Mind? The role of social behavior and psychology in this amazing discipline? How important game theory has become in our society and why

    It has three parts: the Pledge, the Turn, and the Prestige. In Divine Magician, each part comes into play as he explores a radical view of interacting with the world in love.Rollins argues that the Christian event, reenacted in the Eucharist, is indeed a type of magic trick, one that is echoed in the great vanishing acts performed by magicians throughout the ages. In this trick, a divine object is presented to us (the Pledge), disappears (the Turn), and then returns (the Prestige). But just as the returned object in a classic vanishing act is not really the same object--but another that looks the same--so this book argues that the return of God is not simply the return of what was initially presented, but rather a radical way of interacting with the world. In an effort to unearth the power of Christianity, Rollins uses this framework to explain the mystery of faith that has been lost on the church. In the same vein as Rob Bell's bestseller Love Wins, this book pushes the boundaries of theology, presenting a stirring vision at the forefront of re-imagined modern Christianity.As a dynamic speaker as he is in writing, Rollins examines traditional religious notions from a revolutionary and refreshingly original perspective. At the heart of his message is a life lived through profound love. Just perhaps, says Rollins, the radical message found in Christianity might be one that the church can show allegiance to.

    In a world so full of different beliefs and viewpoints, how can we find peace in our shared humanity? Acclaimed thinker and philosopher Tariq Ramadan explores universal ideas such as love, respect, truth and tolerance, and examines questions such as how can men and women relate to each other? What is the true nature of equality? What does 'civilization' really mean? In doing so, he opens our minds to a new view of humanity. Whether we are Christian or Buddhist, Jewish or Muslim, secularist or believer, he reveals that all traditions of thought spring from the same place, and guides us to see past what divides us and discover the beauty of what we have in common. This book has resonance for all of us, showing why, eventually, all different spiritual paths lead to the human heart. 'A prophetic, passionate and insightful book'  Karen Armstrong, Financial Times Tariq Ramadan is Professor of Contemporary Islamic Studies at the Faculty of Oriental Studies and St Antony's College (University of Oxford). He is the Director of the Centre for Islamic Legislation and Ethics (Doha) He is the author of The Quest for Meaning and The Messenger, and has been described as one of the 'most important innovators for the twenty-first century' by Time magazine.

    Plethora of Solved examples help the students know the variety of problems & Procedure to solve them. Plenty of practice problems facilitate testing their understanding of the subject. Key Features: Covers the syllabus of all the four papers of Engineering Mathematics Detailed coverage of topics with lot of solved examples rendering clear understanding to the students. Engineering Applications of Integral Calculus, Ordinary Differential Equations of First and Higher Order, & Partial Differential Equations illustrate the use of these methods. Chapters on preliminary topics like Analytical Solid Geometry Matrices and Determinants Sequence and Series Complex Numbers Vector Algebra Differential and Integral Calculus Extensive coverage of Probability and Statistics (5 chapters). Covers the syllabus of all the four papers of Engineering Mathematics Engineering Applications of Integral Calculus, Ordinary Differential Equations of First and Higher Order, & Partial Differential Equations illustrate the use of these methods. Extensive coverage of ?Probability and Statistics (5 chapters) Table of Content: PART I PRELIMI NARIES Chapter 1 Vector Algebra , Theory of Equations ,Complex Numbers PART II DIFFERENTIAL AND INTEGRAL CALCULUS

    Mathematics, Applied & Natural Sciences