Written by two of the best-known names in categorical logic, Conceptual Mathematics is the first book to apply categories to the most elementary mathematics. It thus serves two purposes: first, to provide a key to mathematics for the general reader or beginning student; and second, to furnish an easy introduction to categories for computer scientists, logicians, physicists, and linguists who want to gain some familiarity with the categorical method without initially committing themselves to extended study.

    This updated edition of Ross's classic bestseller provides an introduction to elementary probability theory and stochastic processes, and shows how probability theory can be applied to the study of phenomena in fields such as engineering, computer science, management science, the physical and social sciences, and operations research. With the addition of several new sections relating to actuaries, this text is highly recommended by the Society of Actuaries.This book now contains a new section on compound random variables that can be used to establish a recursive formula for computing probability mass functions for a variety of common compounding distributions; a new section on hiddden Markov chains, including the forward and backward approaches for computing the joint probability mass function of the signals, as well as the Viterbi algorithm for determining the most likely sequence of states; and a simplified approach for analyzing nonhomogeneous Poisson processes. There are also additional results on queues relating to the conditional distribution of the number found by an M/M/1 arrival who spends a time t in the system; inspection paradox for M/M/1 queues; and M/G/1 queue with server breakdown. Furthermore, the book includes new examples and exercises, along with compulsory material for new Exam 3 of the Society of Actuaries.This book is essential reading for professionals and students in actuarial science, engineering, operations research, and other fields in applied probability.

    It is a 2 day exam. Day 1 features 336 multiple-choice questions; day 2 features 144 multiple-choice questions and 9 Clinical Case Scenarios.

    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.

    Sousa discusses the cognitive mechanisms for learning mathematics and the environmental and developmental factors that contribute to mathematics difficulties. This award-winning text examines:Children's innate number sense and how the brain develops an understanding of number relationships Rationales for modifying lessons to meet the developmental learning stages of young children, preadolescents, and adolescents How to plan lessons in PreK-12 mathematics Implications of current research for planning mathematics lessons, including discoveries about memory systems and lesson timing Methods to help elementary and secondary school teachers detect mathematics difficulties Clear connections to the NCTM standards and curriculum focal points

    Intuition and computational abilities are stressed. Original material on DE and multiple integrals has been expanded.

    This concise introduction shows you how to perform statistical analysis computationally, rather than mathematically, with programs written in Python.You'll work with a case study throughout the book to help you learn the entire data analysis process—from collecting data and generating statistics to identifying patterns and testing hypotheses. Along the way, you'll become familiar with distributions, the rules of probability, visualization, and many other tools and concepts.Develop your understanding of probability and statistics by writing and testing codeRun experiments to test statistical behavior, such as generating samples from several distributionsUse simulations to understand concepts that are hard to grasp mathematicallyLearn topics not usually covered in an introductory course, such as Bayesian estimationImport data from almost any source using Python, rather than be limited to data that has been cleaned and formatted for statistics toolsUse statistical inference to answer questions about real-world data

    Always afraid he was about to die, he climbed into the cockpit anyway ... and lived to tell you about it. How would you feel if you were a new guy in the sky ... attacked by four Messerschmitts? Let me tell you, no matter how much you prepare, no matter how much you read, how much you train, no matter how much you think of yourself as a 'Hot Shot Pilot,' you are never ready for life and death combat! How did it feel to say a 'last goodbye' to your bride believing you would never see her again, as you left to fight WWII? Author's Facebook page at: facebook.com/P38Flyer/ As reviewed by A. L. Hanks, Lieutenant Colonel, USAF (Ret) who said it perfectly: In "Brave and Funny Memories of WWII" Lyndon Shubert, to our great benefit, tells us his story, an engaging tale of his WWII experience as a fighter pilot in WWII. A member of the "greatest generation" he recounts his days (and nights) flying P-38 fighters in the wartime skies of Europe. The tale is told in a relaxed, conversational style, honest and personal. The reader will appreciate the authenticity and the easy humor. He tells us a story that is at once delightfully humorous and deadly serious. He shares that unfettered sense of flying a powerful aircraft free in the vast expanse of the sky. The special sense that pilots have when they "can reach out and touch the face of God". Shubert relates the feelings of men in combat, that gripping apprehension in your gut when you know you're going to die, your senses at full maximum intensity, and then that striking after mission fear when you look back and realize that you cheated death once again. Shubert was indeed a special fellow. We are indebted to him for his service and his book. He captures a special piece of the American character and our history that is essential to pass on to our children and grandchildren. Lt Shubert was exceptional, a USAF officer and a fighter pilot who fought the war and earned the Distinguished Flying Cross. The author reminds us once again why fighter pilots are special. Why they are ubiquitously viewed as swaggering "raconteurs", with big egos and big watches who can sometimes be insufferable. But his tale also captures the reality of one-on-one aerial combat, loser goes home.... to God.

    All test questions are answered and explained. It also provides extensive subject review covering all test topics. Topics reviewed include research methods, the biological basis of behavior, sensation and perception, states of consciousness, learning, cognition, personality, abnormal psychology, and treatment of disorders. This manual also presents an overview of the test, extra multiple-choice practice questions, test-taking tips, and an analysis of the test’s essay question with a sample essay.

    Examples of analytical techniques are drawn from such areas as life sciences, clinical chemistry, air and water pollution, and industrial analyses. New to this edition: Excel spreadsheets on CD-ROM * New chapters on good laboratory practice, as well as genomics and proteomics * A more modern flavor.

    W. R. Dedekind. The first presents Dedekind's theory of the irrational number-the Dedekind cut idea-perhaps the most famous of several such theories created in the 19th century to give a precise meaning to irrational numbers, which had been used on an intuitive basis since Greek times. This paper provided a purely arithmetic and perfectly rigorous foundation for the irrational numbers and thereby a rigorous meaning of continuity in analysis.The second essay is an attempt to give a logical basis for transfinite numbers and properties of the natural numbers. It examines the notion of natural numbers, the distinction between finite and transfinite (infinite) whole numbers, and the logical validity of the type of proof called mathematical or complete induction.The contents of these essays belong to the foundations of mathematics and will be welcomed by those who are prepared to look into the somewhat subtle meanings of the elements of our number system. As a major work of an important mathematician, the book deserves a place in the personal library of every practicing mathematician and every teacher and historian of mathematics. Authorized translations by "Vooster " V. Beman.

    This long-awaited revision contains changes throughout the text. There are new implementations of most of the major programming systems in the book, including the interpreters and compilers, and the authors have incorporated many small changes that reflect their experience teaching the course at MIT since the first edition was published. A new theme has been introduced that emphasizes the central role played by different approaches to dealing with time in computational models: objects with state, concurrent programming, functional programming and lazy evaluation, and nondeterministic programming. There are new example sections on higher-order procedures in graphics and on applications of stream processing in numerical programming, and many new exercises. In addition, all the programs have been reworked to run in any Scheme implementation that adheres to the IEEE standard.

    A child prodigy, Pascal made essential additions to Descartes's work at age sixteen. By age nineteen, he had invented the world's first mechanical calculator. But despite his immense contributions to modern science and mathematical thinking, it is Pascal's wager with God that set him apart from his peers as a man fully engaged with both religious and scientific pursuits.One night in 1654, Pascal had a visit from God, a mystical experience that changed his life. Struggling to explain God's existence to others, Pascal dared to apply his mathematical work to religious faith, playing dice with divinity: he argued for the existence of God, basing his position not on rigorous logical principles as did Aquinas or Anselm of Canterbury, but on outcomes—his famous wager. By applying to the existence of God the same rules that governed the existence and position of the universe itself, Pascal sounded the death knell for medieval "certainties" and paved the way for modern thinking.

    This guidebook is not meant to replace a Lonely Planet/Frommers/Rough Guide, but rather to compliment them. In NZ Frenzy you'll find info about all the South's must-see spots, plus detailed info about the lesser-known and unheralded off-the-beaten-path wonder spots. This guidebook goes WAY beyond the vague outdoor info in the mainstream travel guidebooks. NZ Frenzy is about giving you the details you'll need to find the "real" NZ, the one without lines of tour buses, the one without brochures of pay-to-see commercialized natural "attractions". NZ Frenzy, unlike any of the other mainstream guidebooks, will deliver you to the New Zealand that you've been planning for and fantasizing about. I guarantee it. Please read the reviews of NZ Frenzy North Island to see what travelers think of my info. Are you going to NZ to be a tourist at touristy crowded places or do you want to find the "Real" New Zealand that you'll tell stories about?? When you have an NZ Frenzy in hand, you'll leave the other guidebooks in the glove box and you'll leave the tourists behind!! The South Island has natural wonders beyond compare, but the mainstream media only promotes the commercialized stuff. Don't waste your precious time while in NZ waiting in line at the tourist visitor centers...get NZ Frenzy and go experience the Real New Zealand, the Fabled New Zealand. You can have the trip of a lifetime, you will have the trip of a lifetime!!

    Rucker acquaints us with Godel's rotating universe, in which it is theoretically possible to travel into the past, and explains an interpretation of quantum mechanics in which billions of parallel worlds are produced every microsecond. It is in the realm of infinity, he maintains, that mathematics, science, and logic merge with the fantastic. By closely examining the paradoxes that arise from this merging, we can learn a great deal about the human mind, its powers, and its limitations.Using cartoons, puzzles, and quotations to enliven his text, Rucker guides us through such topics as the paradoxes of set theory, the possibilities of physical infinities, and the results of Godel's incompleteness theorems. His personal encounters with Godel the mathematician and philosopher provide a rare glimpse at genius and reveal what very few mathematicians have dared to admit: the transcendent implications of Platonic realism.