A Textbook Of Discrete Mathematics


Swapan Kumar Sarkar
    

Game-Changer: Game Theory and the Art of Transforming Strategic Situations


David McAdams - 2014
    He was referring to battlefield tactics, but the same can be said about any strategic situation. Even seemingly certain defeat can be turned into victory--whether in battle, business, or life--by those with the strategic vision to recognize how to "change the game" to their own advantage.The aim of David McAdams's Game-Changer is nothing less than to empower you with this wisdom--not just to win in every strategic situation (or "game") you face but to change those games and the ecosystems in which they reside to transform your life and our lives together for the better.Game-Changer develops six basic ways to change games--commitment, regulation, cartelization, retaliation, trust, and relationships--enlivened by countless colorful characters and unforgettable examples from the worlds of business, medicine, finance, military history, crime, sports, and more.The book then digs into several real-world strategic challenges, such as how to keep prices low on the Internet, how to restore the public's lost trust in for-charity telemarketers, and even how to save mankind from looming and seemingly unstoppable drug-resistant disease. In each case, McAdams uses the game-theory approach developed in the book to identify the strategic crux of the problem and then leverages that "game-awareness" to brainstorm ways to change the game to solve or at least mitigate the underlying problem.So get ready for a fascinating journey. You'll emerge a deeper strategic thinker, poised to change and win all the games you play. In doing so, you can also make the world a better place. "Just one Game-Changer [is] enough to seed and transform an entire organization into a more productive, happier, and altogether better place," McAdams writes. Just imagine what we can do together.

Quantum Mechanics


Claude Cohen-Tannoudji - 1977
    Nobel-Prize-winner Claude Cohen-Tannoudji and his colleagues have written this book to eliminate precisely these difficulties. Fourteen chapters provide a clarity of organization, careful attention to pedagogical details, and a wealth of topics and examples which make this work a textbook as well as a timeless reference, allowing to tailor courses to meet students' specific needs. Each chapter starts with a clear exposition of the problem which is then treated, and logically develops the physical and mathematical concept. These chapters emphasize the underlying principles of the material, undiluted by extensive references to applications and practical examples which are put into complementary sections. The book begins with a qualitative introduction to quantum mechanical ideas using simple optical analogies and continues with a systematic and thorough presentation of the mathematical tools and postulates of quantum mechanics as well as a discussion of their physical content. Applications follow, starting with the simplest ones like e.g. the harmonic oscillator, and becoming gradually more complicated (the hydrogen atom, approximation methods, etc.). The complementary sections each expand this basic knowledge, supplying a wide range of applications and related topics as well as detailed expositions of a large number of special problems and more advanced topics, integrated as an essential portion of the text.

Geek Logik: 50 Foolproof Equations for Everyday Life


Garth Sundem - 2006
    Call it the algebra oracle: By plugging in the right variables, GEEK LOGIK answers life’s most persistent questions. It covers Dating and Romance, Career and Finance, and everyday decisions like Should I get a tattoo? Can I still wear tight jeans? Is it time to see a therapist? How many beers should I have at the company picnic? How does it work? Take a simple issue that comes up once or twice a week: Should I call in sick? Fill in the variables honestly, such as D for doctor’s note (enter 1 for “no,†10 for “yes,†and 5 for “yes, but it’s a forgeryâ€), R for importance of job (1-10, with 10 being “personally responsible for Earth’s orbit around Sunâ€), Fj for how much fun you have at work (1-10, with 10 being “personal trainer for underwear modelsâ€), N for how much you need the money (1-10, with 10 being “I owe the mobâ€), then do the math, and voilà—if the product, Hooky, is greater than 1, enjoy your very own Ferris Bueller’s Day Off. Includes a pocket calculator so that prospective geeks can immediately solve the equation on the back cover: Should I buy this book?

Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension


Michio Kaku - 1994
    Indeed, many physicists today believe that there are other dimensions beyond the four of our space-time, and that a unified vision of the various forces of nature can be achieved, if we consider that everything we see around us, from the trees to the stars are nothing but vibrations in hyperspace. Hyperspace theory - and its more recent derivation, superstring theory - is the eye of this revolution. In this book, Michio Kaku shows us a fascinating panorama, which completely changes our view of the cosmos, and takes us on a dazzling journey through new dimensions: wormholes connecting parallel universes, time machines, "baby universes" and more. Similar wonders are emerging in some pages in which everything is explained with elegant simplicity and where the mathematical formulation is replaced by imaginative illustrations that allow the problems to be visualized. The result is a very entertaining and surprising book, which even leaves behind the greatest fantasies of the old science fiction authors.

Introduction to Mathematical Philosophy


Bertrand Russell - 1918
    In it, Russell offers a nontechnical, undogmatic account of his philosophical criticism as it relates to arithmetic and logic. Rather than an exhaustive treatment, however, the influential philosopher and mathematician focuses on certain issues of mathematical logic that, to his mind, invalidated much traditional and contemporary philosophy.In dealing with such topics as number, order, relations, limits and continuity, propositional functions, descriptions, and classes, Russell writes in a clear, accessible manner, requiring neither a knowledge of mathematics nor an aptitude for mathematical symbolism. The result is a thought-provoking excursion into the fascinating realm where mathematics and philosophy meet — a philosophical classic that will be welcomed by any thinking person interested in this crucial area of modern thought.

Newton's Gift: How Sir Isaac Newton Unlocked the System of the World


David Berlinski - 2000
    Despite this, he has remained inaccessible to most modern readers, indisputably great but undeniably remote. In this witty, engaging, and often moving examination of Newton's life, David Berlinski recovers the man behind the mathematical breakthroughs. The story carries the reader from Newton's unremarkable childhood to his awkward undergraduate days at Cambridge through the astonishing year in which, working alone, he laid the foundation for his system of the world, his Principia Mathematica, and to the subsequent monumental feuds that poisoned his soul and wearied his supporters. An edifying appreciation of Newton's greatest accomplishment, Newton's Gift is also a touching celebration of a transcendent man.

Hold'em Wisdom for all Players: Simple and Easy Strategies to Win Money


Daniel Negreanu - 2007
    The book is designed for those players who want to learn 'right now' and enjoy instant success at the tables. Fifty quick sections focus on key winning concepts, making learning both easy and fast.

Advanced Differential Equations


M.D. Raisinghania - 1995
    

Number Theory


George E. Andrews - 1994
    In studying number theory from such a perspective, mathematics majors are spared repetition and provided with new insights, while other students benefit from the consequent simplicity of the proofs for many theorems.Among the topics covered in this accessible, carefully designed introduction are multiplicativity-divisibility, including the fundamental theorem of arithmetic, combinatorial and computational number theory, congruences, arithmetic functions, primitive roots and prime numbers. Later chapters offer lucid treatments of quadratic congruences, additivity (including partition theory) and geometric number theory.Of particular importance in this text is the author's emphasis on the value of numerical examples in number theory and the role of computers in obtaining such examples. Exercises provide opportunities for constructing numerical tables with or without a computer. Students can then derive conjectures from such numerical tables, after which relevant theorems will seem natural and well-motivated..

The Book of Numbers: The Secret of Numbers and How They Changed the World


Peter J. Bentley - 2008
    Indeed, numbers are part of every discipline in the sciences and the arts.With 350 illustrations, including diagrams, photographs and computer imagery, the book chronicles the centuries-long search for the meaning of numbers by famous and lesser-known mathematicians, and explains the puzzling aspects of the mathematical world. Topics include:The earliest ideas of numbers and counting Patterns, logic, calculating Natural, perfect, amicable and prime numbers Numerology, the power of numbers, superstition The computer, the Enigma Code Infinity, the speed of light, relativity Complex numbers The Big Bang and Chaos theories The Philosopher's Stone. The Book of Numbers shows enthusiastically that numbers are neither boring nor dull but rather involve intriguing connections, rivalries, secret documents and even mysterious deaths.

Woo's Wonderful World of Maths


Eddie Woo - 2018
    Maths is about patterns, and our universe is extraordinarily patterned. With enthusiasm and wonder, Eddie is here to help us discover these patterns.With engaging clarity and entertaining anecdotes, Eddie demonstrates the intricacy of maths in all the things we love - from music in our iPods to our credit cards. Filled with humour and heart, this book will fascinate, entertain and illuminate the maths that surrounds us.

Elements of Poker


Tommy Angelo - 2007
    You know tilt costs you money, but do you know how to make it go away? You know position is important, but do you really know how to profit from that knowledge? Elements of Poker is the distilled wisdom of a master. Published in 2007, this book is praised by poker pros worldwide as a timeless classic.

Mathematics With Applications in Management and Economics/Solutions Manual


Earl K. Bowen - 1987
    

Code Breaking: A History and Exploration


Rudolf Kippenhahn - 1999
    In Code Breaking , Rudolf Kippenhahn offers readers both an exciting chronicle of cryptography and a lively exploration of the cryptographer’s craft. Rich with vivid anecdotes from a history of coding and decoding and featuring three new chapters, this revised and expanded edition makes the often abstruse art of deciphering coded messages accessible to the general reader and reveals the relevance of codes to our everyday high-tech society. A stylishly written, meticulously researched adventure, Code Breaking explores the ways in which communication can be obscured and, like magic, made clear again.