These topics lie at the heart of many exciting areas of contemporary science and engineering - communication, signal processing, data mining, machine learning, pattern recognition, computational neuroscience, bioinformatics, and cryptography. This textbook introduces theory in tandem with applications. Information theory is taught alongside practical communication systems, such as arithmetic coding for data compression and sparse-graph codes for error-correction. A toolbox of inference techniques, including message-passing algorithms, Monte Carlo methods, and variational approximations, are developed alongside applications of these tools to clustering, convolutional codes, independent component analysis, and neural networks. The final part of the book describes the state of the art in error-correcting codes, including low-density parity-check codes, turbo codes, and digital fountain codes -- the twenty-first century standards for satellite communications, disk drives, and data broadcast. Richly illustrated, filled with worked examples and over 400 exercises, some with detailed solutions, David MacKay's groundbreaking book is ideal for self-learning and for undergraduate or graduate courses. Interludes on crosswords, evolution, and sex provide entertainment along the way. In sum, this is a textbook on information, communication, and coding for a new generation of students, and an unparalleled entry point into these subjects for professionals in areas as diverse as computational biology, financial engineering, and machine learning.

    These themes include mathematical reasoning, combinatorial analysis, discrete structures, algorithmic thinking, and enhanced problem-solving skills through modeling. Its intent is to demonstrate the relevance and practicality of discrete mathematics to all students. The Fifth Edition includes a more thorough and linear presentation of logic, proof types and proof writing, and mathematical reasoning. This enhanced coverage will provide students with a solid understanding of the material as it relates to their immediate field of study and other relevant subjects. The inclusion of applications and examples to key topics has been significantly addressed to add clarity to every subject. True to the Fourth Edition, the text-specific web site supplements the subject matter in meaningful ways, offering additional material for students and instructors. Discrete math is an active subject with new discoveries made every year. The continual growth and updates to the web site reflect the active nature of the topics being discussed. The book is appropriate for a one- or two-term introductory discrete mathematics course to be taken by students in a wide variety of majors, including computer science, mathematics, and engineering. College Algebra is the only explicit prerequisite.

    Counterfactuals is David Lewis' forceful presentation of and sustained argument for a particular view about propositions which express contrary to fact conditionals, including his famous defense of realism about possible worlds.

    The text begins with basic skills related to personal experience and then carefully progresses to the more sophisticated reasoning skills required for abstract, academic contexts. Thinking Critically introduces students to the cognitive process while teaching them to develop their higher-order thinking and language abilities. A number of distinctive characteristics make the text an effective tool for both instructors and students. Exercises, discussion topics, and writing assignments encourage active participation, stimulating students to critically examine their own and others' thinking.

    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.

    Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Hersh pulls the screen back to reveal mathematics as seen by professionals, debunking many mathematical myths, and demonstrating how the humanist idea of the nature of mathematics more closely resembles how mathematicians actually work. At the heart of his book is a fascinating historical account of the mainstream of philosophy--ranging from Pythagoras, Descartes, and Spinoza, to Bertrand Russell, David Hilbert, and Rudolph Carnap--followed by the mavericks who saw mathematics as a human artifact, including Aristotle, Locke, Hume, Mill, and Lakatos.What is Mathematics, Really? reflects an insider's view of mathematical life, and will be hotly debated by anyone with an interest in mathematics or the philosophy of science.

    Most books about life are written with kid gloves and give us old school clichés to handle adversity. Daniele has gone through some of the most difficult situations a father, husband, and all around warrior can go through. He gives us an honest look into the pain, heartache, and process of fighting back against things that would bring most to their knees. Everyone can relate to the feelings and thoughts Daniele displays. We can only hope to someday have his strength and conviction to come through and thrive!” —AJ Hawk, 2011 Superbowl Champion with the Green Bay Packers “A true warrior poet, Daniele bleeds on these pages with fearless vulnerability and uncensored humor." —Aubrey Marcus, writer and CEO of Onnit.com"Bolelli is a genius warrior philosopher. What he talks about here is the opposite of a victim's mentality. By sharing the emotionally apocalyptic experiences he has gone through, he gives a gift to anyone who is struggling with the dragon of fear and sadness. For me to hear this story and to think of everything that happened to him, and then to think about my own little doldrums that I fall into—suddenly I'm invigorated. Everyone please listen, open your ears and open your hearts to the incredible, the brilliant and the super sweet Daniele Bolelli." —Duncan Trussell, comedian and host of the podcast The Duncan Trussell Family Hour“An inspiring life story about overcoming fear. This is a necessary task, no matter what you do in life. Whether you are an amateur or professional athlete, you will be able to draw many similarities to your sport. At the same time, this book gives us a great reminder to enjoy the ride while it lasts. Well done Daniele, you did it again!” —Bostjan Nachbar, professional basketball playerThis book is a meditation on facing fear, heartbreak, and mortality. It is the story of a man who in rapid succession has his wife die in his arms, loses his house and his job, and is left to care for his 19-month old daughter. Oddly enough, the best tools for coping with all of this were those he learned in more than two decades of the martial arts practice. Not Afraid tackles this extremely heavy subject matter in a lighthearted style and with an attitude that acknowledges pain and suffering but denies them dominion over one’s life.In his own irreverent and inimitable style, Daniele Bolleli tells the story of his courtship and marriage, which would have been a sweet story had not all hell broken loose. Or as he puts it, “Hell was a ninja who entered my house without being seen. It all began in such an unremarkable way that it barely registered as anything meaningful. Little did I know that the experiences of the next five months would rip me apart and kill me. They would reforge me into a different man. On that day, I became an unwilling traveler on a journey through the heart of fear. Every step along the way has forced me to face my fears time and time again.”In autobiographical fashion, Not Afraid recounts how martial arts practice and personally relating to fear inducing experiences can affect and shape one’s personality. The result is a page turning book about beauty as well as tragedy, hope as well as despair.

    This collection of writing by world-class writers including Frank Deford, Peter Gammons and Tom Verducci brings together the stories of football's greatest heroes and villains, legendary quests and pennant races.

    Throughout, the emphasis is on how IT provides organizations with strategic advantage by facilitating problem solving, increasing productivity and quality, improving customer service, and enabling business process reengineering. It also covers the latest real-world developments, including the introduction of applied grid computing and utility computing.

    They made a list of 100 things to do before they died, and began the journey to uncover their buried lives.NOW IT'S YOUR TURN.Get inspired. Make your list. Live your dreams.

    The author has made this edition more accessible to better meet the needs of today's undergraduate mathematics and philosophy students. It is intended for the reader who has not studied logic previously, but who has some experience in mathematical reasoning. Material is presented on computer science issues such as computational complexity and database queries, with additional coverage of introductory material such as sets.

    Focused on helping students understand and construct proofs and expanding their mathematical maturity, this best-selling text is an accessible introduction to discrete mathematics. Johnsonbaugh's algorithmic approach emphasizes problem-solving techniques. The Seventh Edition reflects user and reviewer feedback on both content and organization.

    Republished in book form shortly thereafter, it has since gone through four hardcover and sixteen paperback printings. It is a revolutionary work, astounding in its foresight and contemporaneity. The University of Illinois Press is pleased and honored to issue this commemorative reprinting of a classic.

    Sipser's candid, crystal-clear style allows students at every level to understand and enjoy this field. His innovative "proof idea" sections explain profound concepts in plain English. The new edition incorporates many improvements students and professors have suggested over the years, and offers updated, classroom-tested problem sets at the end of each chapter.