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.

    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.

    Increasingly, the decisions that affect our lives--where we go to school, whether we can get a job or a loan, how much we pay for health insurance--are being made not by humans, but by machines. In theory, this should lead to greater fairness: Everyone is judged according to the same rules.But as mathematician and data scientist Cathy O'Neil reveals, the mathematical models being used today are unregulated and uncontestable, even when they're wrong. Most troubling, they reinforce discrimination--propping up the lucky, punishing the downtrodden, and undermining our democracy in the process.

    Worldreader addresses that problem using e-reader technology. Worldreader works with textbook publishers across the developing world to offer a range of digital textbooks to schools as part of their wider goal to promote literacy by bringing books to all.

    HERE’S HOW Are you struggling to find marketing ideas for your small business? Does your business plan consist of a few scribbles on the back of a napkin? Does the thought of learning “online marketing” scare you? Do you find traditional business books dull, or uninspiring? Have you read business biographies of the poster boys (Richard Branson, Bill Gates, Warren Buffett, Alan Sugar, Elon Musk, Steve Jobs etc), only to feel a sense of overwhelm, and a complete disconnect between what they achieved, and where you are right now? Do you want to grow your small business, without having to learn complex marketing strategies, and without being told to simply “work harder than everyone else”? If so, then “Big Ideas... for Small Businesses” could be the “lightbulb moment” you’ve been waiting for... Former civil servant John Lamerton has run more than 60 small businesses since 2000, making millions of pounds, and thousands of mistakes along the way. This book is a collection of the lessons and successes that he uses to coach and mentor hundreds of small business owners, teaching them to think bigger, work less, and design their business around the lifestyle they want. SOME OF THE “BIG IDEAS” THAT YOU WILL DISCOVER: - Why the “Dragons” hate lifestyle businesses, and why you should love them - How almost anyone could become a millionaire in their lifetime, given just £200 a month. - Why John blames Richard Branson for his early failures - How to get clarity on your business strategy, and bring that into your daily routine. - How to sell a dozen eggs for over £500 - The ONE thing that truly transformed John’s business - How to find, hire, (and fire!) your first employee. - Why every Luke Skywalker needs a Yoda. - EXACTLY how he made over £100k from ONE marketing campaign. - The five magic ingredients for success in almost any given field. JOHN LAMERTON is a lazy entrepreneur and investor. He balances running an ambitious lifestyle business with raising two young children. A former “hustler”, he now earns more money “working” 20 to 25 hours a week than he used to pulling all-nighters and “grinding” for 100+ hours per week. He now mentors fellow ambitious lifestyle business owners, teaching them how to design their business around their lifestyle.

    He mingles these with forays into ancient and modern mathematical thought, appallingly hilarious mathematical jokes, and enquiries into the great mathematical challenges of the present and past. Amongst a host of arcane and astonishing facts about every kind of number from irrational or imaginary to complex or cuneiform, we find out: how to organise chaos; how matter balances anti-matter; how to turn a sphere inside out (without creasing it...); why you can't comb a hairy ball; how to calculate pi by observing the stars. And we get some tantalising glimpses of the maths of life and the universe.Mind-stretching, enlightening and endlessly amusing, Professor Stewart's new entertainment will stimulate, delight, and enthral.

    An extremely clever account.--The New Yorker.

    How to make sense of them? The answer lies in mathematical modeling, a science with applications in a host of biological systems. Soccermatics brings the two together in a fascinating, mind-bending synthesis.What's the similarity between an ant colony and Total Football, Dutch style? How is the Barcelona midfield linked geometrically? And how can we relate the mechanics of a Mexican Wave to the singing of cicadas in an Australian valley? Welcome to the world of mathematical modeling, expressed brilliantly by David Sumpter through the prism of soccer. Soccer is indeed more than a game and this book is packed with game theory. After reading it, you will forever watch the game with new eyes.

    The story of information begins in a time profoundly unlike our own, when every thought and utterance vanishes as soon as it is born. From the invention of scripts and alphabets to the long-misunderstood talking drums of Africa, Gleick tells the story of information technologies that changed the very nature of human consciousness. He provides portraits of the key figures contributing to the inexorable development of our modern understanding of information: Charles Babbage, the idiosyncratic inventor of the first great mechanical computer; Ada Byron, the brilliant and doomed daughter of the poet, who became the first true programmer; pivotal figures like Samuel Morse and Alan Turing; and Claude Shannon, the creator of information theory itself. And then the information age arrives. Citizens of this world become experts willy-nilly: aficionados of bits and bytes. And we sometimes feel we are drowning, swept by a deluge of signs and signals, news and images, blogs and tweets. The Information is the story of how we got here and where we are heading.

    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

    . . full of intellectual treats and tricks, of whimsy and deep scientific philosophy. It is highbrow entertainment at its best, a teasing challenge to all who aspire to think about the universe." — New York Herald TribuneOne of the world's foremost nuclear physicists (celebrated for his theory of radioactive decay, among other accomplishments), George Gamow possessed the unique ability of making the world of science accessible to the general reader.He brings that ability to bear in this delightful expedition through the problems, pleasures, and puzzles of modern science. Among the topics scrutinized with the author's celebrated good humor and pedagogical prowess are the macrocosm and the microcosm, theory of numbers, relativity of space and time, entropy, genes, atomic structure, nuclear fission, and the origin of the solar system.In the pages of this book readers grapple with such crucial matters as whether it is possible to bend space, why a rocket shrinks, the "end of the world problem," excursions into the fourth dimension, and a host of other tantalizing topics for the scientifically curious. Brimming with amusing anecdotes and provocative problems, One Two Three . . . Infinity also includes over 120 delightful pen-and-ink illustrations by the author, adding another dimension of good-natured charm to these wide-ranging explorations.Whatever your level of scientific expertise, chances are you'll derive a great deal of pleasure, stimulation, and information from this unusual and imaginative book. It belongs in the library of anyone curious about the wonders of the scientific universe. "In One Two Three . . . Infinity, as in his other books, George Gamow succeeds where others fail because of his remarkable ability to combine technical accuracy, choice of material, dignity of expression, and readability." — Saturday Review of Literature

    This book picks you up at the very beginning and guides you through the foundations of algebra using lots of examples and no-nonsense explanations. Each chapter contains well-chosen exercises as well as all the solutions. No prior knowledge is required. Topics include: Exponents, Brackets, Linear Equations and Quadratic Equations. For a more detailed table of contents, use the "Look Inside" feature. From the author of "Great Formulas Explained" and "Physics! In Quantities and Examples".

    This sharply intelligent, consistently provocative book takes the reader on an astonishing, thought-provoking voyage into the realm of delightful uncertainty--a world of paradox in which logical argument leads to contradiction and common sense is seemingly rendered irrelevant.

    The first and only authorized book about the band, The Phish Book is an extraordinary verbal and visual chronicle of a year in the life of Phish, featuring extensive interviews with the four band members--Trey Anastasio, Jon Fishman, Mike Gordon, and Page McConnell--conducted by writer Richard Gehr, who also serves as guide to the history, mythology, musical context, and unique audience-band relationship in which the Vermont quartet flourishes.        While it contains many of the trappings of other lavish rock monuments--including more than two hundred pieces of previously unpublished art and photography from the band's private archive--The Phish Book elevates the form by means of an innovative roundtable-style discussion format. Richard Gehr and Phish use the events of 1997 as a jumping-off point from which the band members free-associate about themselves, their music, and the dedicated and colorful community that springs up wherever they perform.        Beginning with the backstage scene at Boston's Fleet Center on New Year's Eve, 1996, The Phish Book explores the band's earliest days in Burlington, Vermont; their musical influences, which include James Brown, Frank Zappa, and the Grateful Dead; their legendary Halloween shows; the two European and two American tours the group undertook in 1997; the stories behind their 1996 studio album, Billy Breathes, and the following year's live Slip Stitch and Pass; life onstage and off; the sixty-thousand-fan Maine campout and art project known as the Great Went; and the experimental recording and performing techniques that informed the band's most recent studio album, The Story of the Ghost.        More than a retrospective journal of the group's evolution, The Phish Book is a glorious snapshot of a band much bigger than its parts and at the height of its collective power.

    Contains complete worked solutions to all regular exercises and computer exercises in the text; additional test questions and their solutions; an online laboratory manual for the computer algebra system GAP, with exercises tied to the book and an instructor answer key; and links on the author's website to true/false questions, flash cards, essays, software downloads, and other abstract algebra-related materials.