By experimenting with new concepts of time, integrating Eastern philosophies into Western music, and exploring multiphonics and other new sounds on his saxophone, he opened avenues of expression that influenced musicians and composers from jazz to rock to avant-garde.Bill Cole focuses on two aspects of John Coltrane in this provocative study: Coltrane the musician and Coltrane the religious person. Deeply interrelated, both aspects are bound up with Coltrane's identification as an African- American. Coltrane accepted the traditional African belief in the magical powers of sound and connected his music to its African roots via a devout religiosity. Cole shows how Coltrane's influences extended from tribal tone languages to speeches by Martin Luther King, Jr. -- he even adapted King's rhythmic inflections into a saxophone solo.Bill Cole offers a lengthy musical analysis of Coltrane's career; it also includes a detailed discography with recording data and personnel and over two dozen photographs. Cole draws on quotes from Coltrane himself, transcriptions of his improvisations, analyses of his music, research into West African religion, and his own personal reminiscences of the man, to offer a stimulating perspective on Coltrane's music, life, and thought.

    The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra: understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space (or an odd-dimensional real vector space) has an eigenvalue. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition includes a new section on orthogonal projections and minimization problems. The sections on self-adjoint operators, normal operators, and the spectral theorem have been rewritten. New examples and new exercises have been added, several proofs have been simplified, and hundreds of minor improvements have been made throughout the text.

    She claimed the police had inserted a stick inside her… Swaranpreet realised that she had been cruelly violated; He spoke a single sentence but repeated it twice in chaste Punjabi: ‘Please give me a turban? I want nothing else…’ These are voices begging for deliverance in the aftermath of Indira Gandhi’s assassination in October-November 1984 in which 2,733 Sikhs were killed, burnt and exterminated by lumpens in the country. Nilanjan Mukhopadhyay walks us through one of the most shameful episodes of sectarian violence in post Independent India and highlights the apathy of subsequent governments towards Sikhs who paid a price for what was clearly a state-sponsored riot. Poignant, raw and most importantly, macabre, the personal histories in the book reveal how even after three decades, a community continues to battle for its identity in its own country.

    

    It aims to elevate the lives of people by fostering inner confidence and strengthening their faith. In a turbulent and chaotic world, people are in dire need of words of motivation and inspiration. Vitamin H provides the much needed therapy which will successfully cure the diseases such as negativity, pessimism, cynicism and envy. It will awaken the dreamer within you and help you achieve the seemingly impossible.

    With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern reader.

    Our senses are not equipped to see the universe as it is, and routinely let us down in that quest—the world appears flat, the stars seem fixed in the heavens. That is why we invented math and science—the ultimate toolkit to explain how the world really works.In this book, mathematician Hannah Fry and geneticist Adam Rutherford investigate everyday mysteries (does your dog love you?) alongside the burning questions of time, space, and the origin of the universe. What will the end of the world look like, and when will it happen? What is time, and where does it come from? Approaching these questions and more with science and math rigorous and playful, Rutherford and Fry celebrate the weirdness of the cosmos, and reveal its secrets along the way.

    This is the amazing story of a woman who survived a near fatal explosion. Incredibly, that was only the beginning of her story. During the event, she experienced a NDE (Near Death Experience). She retained vivid memories of going to the spirit side and from that unique out-of-body perspective; she helped celestial beings put her body back together so she could return to life. She wanted to share what the experience was like as viewed from the spirit side. A true tale of survival and courage, sure to empower others who read it.

    His aim is to present calculus as the first real encounter with mathematics: it is the place to learn how logical reasoning combined with fundamental concepts can be developed into a rigorous mathematical theory rather than a bunch of tools and techniques learned by rote. Since analysis is a subject students traditionally find difficult to grasp, Spivak provides leisurely explanations, a profusion of examples, a wide range of exercises and plenty of illustrations in an easy-going approach that enlightens difficult concepts and rewards effort. Calculus will continue to be regarded as a modern classic, ideal for honours students and mathematics majors, who seek an alternative to doorstop textbooks on calculus, and the more formidable introductions to real analysis.

    Mandelbrot, one of the century's most influential mathematicians, is world-famous for making mathematical sense of a fact everybody knows but that geometers from Euclid on down had never assimilated: Clouds are not round, mountains are not cones, coastlines are not smooth. To these classic lines we can now add another example: Markets are not the safe bet your broker may claim. In his first book for a general audience, Mandelbrot, with co-author Richard L. Hudson, shows how the dominant way of thinking about the behavior of markets-a set of mathematical assumptions a century old and still learned by every MBA and financier in the world-simply does not work. As he did for the physical world in his classic The Fractal Geometry of Nature, Mandelbrot here uses fractal geometry to propose a new, more accurate way of describing market behavior. The complex gyrations of IBM's stock price and the dollar-euro exchange rate can now be reduced to straightforward formulae that yield a far better model of how risky they are. With his fractal tools, Mandelbrot has gotten to the bottom of how financial markets really work, and in doing so, he describes the volatile, dangerous (and strangely beautiful) properties that financial experts have never before accounted for. The result is no less than the foundation for a new science of finance.

    

    This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own thought processes.Yanofsky describes simple tasks that would take computers trillions of centuries to complete and other problems that computers can never solve; perfectly formed English sentences that make no sense; different levels of infinity; the bizarre world of the quantum; the relevance of relativity theory; the causes of chaos theory; math problems that cannot be solved by normal means; and statements that are true but cannot be proven. He explains the limitations of our intuitions about the world -- our ideas about space, time, and motion, and the complex relationship between the knower and the known.Moving from the concrete to the abstract, from problems of everyday language to straightforward philosophical questions to the formalities of physics and mathematics, Yanofsky demonstrates a myriad of unsolvable problems and paradoxes. Exploring the various limitations of our knowledge, he shows that many of these limitations have a similar pattern and that by investigating these patterns, we can better understand the structure and limitations of reason itself. Yanofsky even attempts to look beyond the borders of reason to see what, if anything, is out there.

    However, the techniques that you shall find in this book have been tested and used (not only by the author but by countless other people) in examinations time and again.Many techniques mentioned in other books are pretty impractical and sometimes completely unusable. This book is not a package of magic. It is rather a package of methods that if practiced and persevered with can churn up magical results! This book could be a great resource for various competitive examinations and students in middle and senior school. It could help the reader in myriad ways depending upon his or her needs and scope for practice. At the same time one could figure out as to which technique would work for one and which would not, again depending upon one’s set of circumstances and needs. By reading this book, the students will be able to:(a) learn quicker methods by observing some simple techniques;compare various techniques available on each topic;(b) know the limitations of each technique;(c) save some precious minutes in various competitive and school examinations by employing the quick calculation techniques;(d) develop their own tools in the field of quick calculations.

    In this funny, fast-paced, razor-sharp, well-reasoned, and supremely savvy critique of the state of our union under the disastrous reign of Barack Obama, bestselling author, Fox News contributor, syndicated columnist, and popular radio host Monica Crowley asks (and answers) the pressing question: What the @$%& has happened to America? “The Happy Warrior’s Guide to the Great American Comeback,” What the (Bleep) Just Happened? doesn’t simply bemoan the trashing of the American economy and the intentional firebombing of America’s international prestige, it offers inspiration and a positive message to conservatives and concerned Americans everywhere that the way to fight back and win is with principle, conviction…and a wicked sense of humor.