This book leads the reader from simple graphs through planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. Includes exercises. 1976 edition.

    A team of contemporary fiction scholars from both sides of the Atlantic has been assembled to provide a thorough and readable analysis of each of the novels in question. The books in the series will all follow the same structure:a biography of the novelist, including other works, influences, and, in some cases, an interview; a full-length study of the novel, drawing out the most important themes and ideas; a summary of how the novel was received upon publication; a summary of how the novel has performed since publication, including film or TV adaptations, literary prizes, etc.; a wide range of suggestions for further reading, including websites and discussion forums; and a list of questions for reading groups to discuss.

    Sufficient information about General Phonetics has been included in the book, with a view to facilitating the reader's understanding of the Phonetics of English. Plenty of examples are given from English, Tamil, Hindi and Urdu/Arabic to illustrate the points made. There are a number of diagrams throughout the book,illustrating the articulation of the sounds of English. The book also includes some information about General Phonology and the Phonology of English. A few sentences, dialogues and a popular tale have been given at the end of the book, both in orthography and in simple phonemic transcription. The book covers the Phonetics/Phonology syllabus of most Indian universities and ELT institutes

    presents some of the most famous mathematical proofs in a charming book that will appeal to nonmathematicians and math experts alike. Grasp in an instant why Pythagoras's theorem must be correct. Follow the ancient Chinese proof of the volume formula for the frustrating frustum, and Archimedes' method for finding the volume of a sphere. Discover the secrets of pi and why, contrary to popular belief, squaring the circle really is possible. Study the subtle art of mathematical domino tumbling, and find out how slicing cones helped save a city and put a man on the moon.

    Ten dimensions? Most of us have barely gotten used to the idea that there are four.Using simple geometry and an easygoing writing style, author Rob Bryanton starts with the lower dimensions that we are all familiar with, then uses those concepts to build one layer upon another, ultimately arriving at a way of imagining the tenth dimension.Part scientific exploration, part philosophy, this unique book touches upon such diverse topics as dark matter, Feynman's "sum over paths", the quantum observer, and the soul. It is aimed at anyone interested in leading-edge theories about cosmology and the nature of reality, but it is not about mainstream physics. Rather, Imagining the Tenth Dimension is a mind-expanding exercise that could change the way you view this incredible universe in which we live.

    In A Mathematician Plays the Stock Market , best-selling author John Allen Paulos employs his trademark stories, vignettes, paradoxes, and puzzles to address every thinking reader's curiosity about the market -- Is it efficient? Is it random? Is there anything to technical analysis, fundamental analysis, and other supposedly time-tested methods of picking stocks? How can one quantify risk? What are the most common scams? Are there any approaches to investing that truly outperform the major indexes? But Paulos's tour through the irrational exuberance of market mathematics doesn't end there. An unrequited (and financially disastrous) love affair with WorldCom leads Paulos to question some cherished ideas of personal finance. He explains why "data mining" is a self-fulfilling belief, why "momentum investing" is nothing more than herd behavior with a lot of mathematical jargon added, why the ever-popular Elliot Wave Theory cannot be correct, and why you should take Warren Buffet's "fundamental analysis" with a grain of salt. Like Burton Malkiel's A Random Walk Down Wall Street , this clever and illuminating book is for anyone, investor or not, who follows the markets -- or knows someone who does.

    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.

    

    It was his feeling that a proper analysis of the use of language would clarify concepts and lead to the solution of (what seem to be) philosophical problems.Sometimes, Wittgenstein's expository method is pre-Socratic: a flow of disconnected statements, not unlike Heraclitean fragments, that range from clear aphorisms to cryptic oracles. Elsewhere, there are brief Socratic dialogues with imaginary persons, opponents of equally severe seriousness, representatives of the other half of Wittgenstein strove for total clarity of language as a means of solving philosophical problems, but some of his most meaningful statements here are expressed suggestively, subjectively, poetically.

    This groundbreaking and powerful theory now forms the basis of computer science. In Turing's Vision, Chris Bernhardt explains the theory, Turing's most important contribution, for the general reader. Bernhardt argues that the strength of Turing's theory is its simplicity, and that, explained in a straightforward manner, it is eminently understandable by the nonspecialist. As Marvin Minsky writes, -The sheer simplicity of the theory's foundation and extraordinary short path from this foundation to its logical and surprising conclusions give the theory a mathematical beauty that alone guarantees it a permanent place in computer theory.- Bernhardt begins with the foundation and systematically builds to the surprising conclusions. He also views Turing's theory in the context of mathematical history, other views of computation (including those of Alonzo Church), Turing's later work, and the birth of the modern computer.In the paper, -On Computable Numbers, with an Application to the Entscheidungsproblem, - Turing thinks carefully about how humans perform computation, breaking it down into a sequence of steps, and then constructs theoretical machines capable of performing each step. Turing wanted to show that there were problems that were beyond any computer's ability to solve; in particular, he wanted to find a decision problem that he could prove was undecidable. To explain Turing's ideas, Bernhardt examines three well-known decision problems to explore the concept of undecidability; investigates theoretical computing machines, including Turing machines; explains universal machines; and proves that certain problems are undecidable, including Turing's problem concerning computable numbers.

    As the years went by I craved answers, but my mother wouldn't give them to me. Now I'm done with depending on other people. I packed up everything and moved to the town I knew my father still lived in: Birmingham, Alabama.You see, my father's the President of the Sons of Gods MC.I was going to get my answers, and I'd do whatever I needed to. I just never expected to fall in love with one of the men in his club while I sought closure.ConnorMy life was centered around the club. As a prospect I had to prove it to everyone, and then one day when I proved myself enough I'd get patched in. Until then, I did what I was told, backed up the club when needed and life went on as usual.Proving myself to the club would happen in a variety of ways, even helping a friend's sister with some issues at her house. That's where I met her: Callista. She was more beautiful than any woman I saw before, and her eyes showed me she felt true pain.It made me curious and I soon came to discover the heart underneath the shell.I thought we were near perfect for each other. It didn't matter what happened, whether it was a threat to Callista or the club, we overcame it.Until I found out something that changed everything.***The Sons of Gods MC is a darker mythology-themed MC series by J.H. Wolfe and Elizabeth Knox. This series is not paranormal romance. These books are intended for mature audiences only (18+) and do go over triggering subjects. Please proceed with the utmost caution.

    In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.

    At the same time adjacent portions of philosophy and logic are discussed. To the existence of what objects may a given scientific theory be said to be committed? And what considerations may suitably guide us in accepting or revising such ontological commitments? These are among the questions dealt with in this book, particular attention being devoted to the role of abstract entities in mathematics. There is speculation on the mechanism whereby objects of one sort or another come to be posited a process in which the notion of identity plays an important part."This volume of essays has a unity and bears throughout the imprint of Quine's powerful and original mind. It is written with the felicity in the choice of words which makes everything that Quine writes a pleasure to read, and which ranks him among the best contemporary writers on abstract subjects." (Cambridge Review)"Professor Quine's challenging and original views are here for the first time presented as a unity. The chief merit of the book is the heart-searching from which it arose and to which it will give rise. In vigour, conciseness, and clarity, it is characteristic of its author." (Oxford Magazine)

    These include applications drawn from important new areas of technology such as optical fibers, radome design, satellite communication, and microstrip lines. There is also added coverage of several new topics, including Hall effect, radar equation and scattering cross section, transients in transmission lines, waveguides and circular cavity resonators, wave propagation in the ionosphere, and helical antennas. New exercises, new problems, and many worked-out examples make this complex material more accessible to students.

    He’s the most hated man in Manhattan. Their lives are destined to intertwine.Violet Markle built a marvelous life in the city with her husband. After his sudden death, she is left alone to try to pick up the pieces and move on.Oliver Adams is a notorious player. After his stint on the hit reality television show, Hot Hunks, he became widely known as the Heartless Hunk.Vi needs to make a trip to her small hometown in Maine, but she doesn’t want to face the looks of pity on the faces of her family and friends.Oliver needs a break away from the constant scrutiny and hate-filled gazes he receives in the city.Vi’s best friend, Soraya, devises a plan that can help both Vi and Oliver, but she doesn’t know the devastating secret that is bubbling just beneath the surface between them.What happens next will change their lives forever.Will Violet and Oliver be able to embrace love and help each other heal, or will the truth destroy them? Find out now in Heartless Hunk.