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.

    It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables, differential equations, Fourier analysis, numerical analysis, several variable calculus, and statistics. It is also recommended for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied. Many abstract ideas, such as metric spaces and ordered systems, are avoided. The least upper bound property is taken as an axiom and the order properties of the real line are exploited throughout. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics. Optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.

    Widely recognized as the most comprehensive, accessible and practical basis for scientific computing, this new edition incorporates more than 400 Numerical Recipes routines, many of them new or upgraded. The executable C++ code, now printed in color for easy reading, adopts an object-oriented style particularly suited to scientific applications. The whole book is presented in the informal, easy-to-read style that made earlier editions so popular. Please visit www.nr.com or www.cambridge.org/us/numericalrecipes for more details. More information concerning licenses is available at: www.nr.com/licenses New key features: 2 new chapters, 25 new sections, 25% longer than Second Edition Thorough upgrades throughout the text Over 100 completely new routines and upgrades of many more. New Classification and Inference chapter, including Gaussian mixture models, HMMs, hierarchical clustering, Support Vector MachinesNew Computational Geometry chapter covers KD trees, quad- and octrees, Delaunay triangulation, and algorithms for lines, polygons, triangles, and spheres New sections include interior point methods for linear programming, Monte Carlo Markov Chains, spectral and pseudospectral methods for PDEs, and many new statistical distributions An expanded treatment of ODEs with completely new routines Plus comprehensive coverage of linear algebra, interpolation, special functions, random numbers, nonlinear sets of equations, optimization, eigensystems, Fourier methods and wavelets, statistical tests, ODEs and PDEs, integral equations, and inverse theory

    "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems."

    Contains 640 problems including solutions; additional practice problems with answers; explanations of complex variable theory; coverage of applications of complex variables in engineering, physics, and elsewhere, with accompanying sample problems and solutions.

    But many people use data in ways they don't even understand, meaning they aren't getting the most from it. Bayesian Statistics the Fun Way will change that.This book will give you a complete understanding of Bayesian statistics through simple explanations and un-boring examples. Find out the probability of UFOs landing in your garden, how likely Han Solo is to survive a flight through an asteroid shower, how to win an argument about conspiracy theories, and whether a burglary really was a burglary, to name a few examples.By using these off-the-beaten-track examples, the author actually makes learning statistics fun. And you'll learn real skills, like how to:- How to measure your own level of uncertainty in a conclusion or belief- Calculate Bayes theorem and understand what it's useful for- Find the posterior, likelihood, and prior to check the accuracy of your conclusions- Calculate distributions to see the range of your data- Compare hypotheses and draw reliable conclusions from themNext time you find yourself with a sheaf of survey results and no idea what to do with them, turn to Bayesian Statistics the Fun Way to get the most value from your data.

    Clear, comprehensive coverage of utility theory, 2-person zero-sum games, 2-person non-zero-sum games, n-person games, individual and group decision-making, more. Bibliography.

    He sifts through over 30,000 survey submissions to uncover the world’s favourite number, and meets a mathematician who looks for universes in his garage. He attends the World Mathematical Congress in India, and visits the engineer who designed the first roller-coaster loop. Get hooked on math as Alex delves deep into humankind’s turbulent relationship with numbers, and reveals how they have shaped the world we live in.

    Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. Intended for undergraduate courses in abstract algebra, it is suitable for junior- and senior-level math majors and future math teachers. This second edition features additional exercises to improve student familiarity with applications. An introductory chapter traces concepts of abstract algebra from their historical roots. Succeeding chapters avoid the conventional format of definition-theorem-proof-corollary-example; instead, they take the form of a discussion with students, focusing on explanations and offering motivation. Each chapter rests upon a central theme, usually a specific application or use. The author provides elementary background as needed and discusses standard topics in their usual order. He introduces many advanced and peripheral subjects in the plentiful exercises, which are accompanied by ample instruction and commentary and offer a wide range of experiences to students at different levels of ability.

    

    Everything a busy traveler needs is easy to access: a neighborhood overview, city walks and tours, sights, handy food and accommodations charts, an appendix packed with information on trip planning and practicalities, and a fold-out city map.Rick Steves Pocket Barcelona includes the following walks and tours:• Ramblas Ramble• Barri Gotic and Cathedral Tour• Picasso Museum Tour• Eixample Walk• Sagrada Familia Tour

    Based on years of personal research and client feedback, best-selling author, naturopath and health coach Kylie Ansett answers the question;What is the secret to looking and feeling younger? You will learn: • How to have whiter teeth without using chemicals • How to firm and tone your face for free • How to wake early feeling refreshed and energized every day • How to have the energy of a 25 year old without taking a single supplement • Detox methods that will take years off your face and decades off your body • And much, much more! Do you ever hear yourself making the excuse: “I’m too old for that!”? Do you look in the mirror some days and not recognize who is looking back? (Other days you feel just as old as you look!) Every day more grey hairs. And wrinkles. You don’t have as much energy. You’re not as bendy as you used to be. Skin that used to be firm is, well, less firm. Is there a way? Can you recapture the energy, the vitality and the health of your younger days? Can you start looking younger instead of older every day? Is there a way to turn back time? Look at what others have said about 10 Years Younger: Way more than just about looking good. Straightforward and practical advice for anyone who wants to be more conscious about their health, looks and life choices. - Harmony Davis Interesting, heartfelt, practical and humorous. A great reminder of how easy, cheap and effective looking younger can be. An excellent resource to keep us healthy and younger looking. - Deborah Sutton There is something in here for every woman; all the tips are simple, inexpensive and easy to implement. Read this and your body will thank you. - Julie Extremely entertaining, informative and engaging. I felt like I’d just given myself an enjoyable self-pampering session. It is a workout, a spring clean & rejuvenation for the body and mind. - Melia Vlatko-Rulo Both practical and compelling - gives the most amazing ideas for how to look and feel 10 years younger. What I like the best is the 'try it on' approach. Try them all and see what fits - what a brilliant idea! - Jane E Infante A genuine and honest approach to looking younger; and good health is at the heart of it. - Coral For those who can't or don't want to try 'artificial' ways of staying young, this is a really good book. Many techniques are simple and quick, with proven effects on your body and mind. Well written and concise, with good summaries at the end of each chapter. - J This is an upbeat and original book, about aging well. I liked the format this material was presented in, providing passages followed by an action plan. If you don't envision/equate growing older as a steady, downward slide to multiple meds, limited mobility and sagging jowls, give this one a try! - Geraldine Helen Harman Every ingenious tip was made with either ingredients I could easily find in my cupboard, or no ingredients at all, so I could begin straight away. - Taya M A holistic viewpoint, rather than quick fixes, creams and lotions. Age is as much about attitude and the way we see life.

    The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google PageRank and Markov chain Monte Carlo MCMC. Additional application areas explored include genetics, medicine, computer science, and information theory. The print book version includes a code that provides free access to an eBook version. The authors present the material in an accessible style and motivate concepts using real-world examples. Throughout, they use stories to uncover connections between the fundamental distributions in statistics and conditioning to reduce complicated problems to manageable pieces. The book includes many intuitive explanations, diagrams, and practice problems. Each chapter ends with a section showing how to perform relevant simulations and calculations in R, a free statistical software environment.

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

    The approach taken here uses elementary versions of modern methods found in sophisticated mathematics. The formal prerequisites include only a term of linear algebra, a nodding acquaintance with the notation of set theory, and a respectable first-year calculus course (one which at least mentions the least upper bound (sup) and greatest lower bound (inf) of a set of real numbers). Beyond this a certain (perhaps latent) rapport with abstract mathematics will be found almost essential.