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.

    Just the right amount of science. Common sense and rational.” -- Wayne R. The greenhouse effect is always quoted—but that is a METAPHOR. What is the fundamental physical process that drives it? And how exactly does human activity play such a powerful role with it? How did we go from worrying about global warming to climate change…to carbon dioxide (CO2) emissions? "Great book - should me mandatory reading for anyone that uses the term 'Climate Change' " - Amazon purchaser Macsugar Are there gases more powerful and influential in the greenhouse effect than CO2? Yes, by a lot! As you will learn in this book… Why aren’t we spending more time, money, and attention focusing on those? Smart people want to get to the point of a problem and solve it as quickly, inexpensively, and effortlessly as possible. They know about the Pareto Principle, and you will too after you read this book. It is also called the 80/20 rule. What happens when we apply that principle to the global climate change “consensus”? “Thank You! I always thought the numbers were small, but I never took the time to do the math.” -- Mike S. There are many books that are long, technical, and—frankly, irrelevant—on the topic of climate change. Here are the most important questions that nobody has bothered to answer in straightforward, simple and short language, until now: * What are basic facts about our planet’s atmosphere? And what do they tell us about the fundamental physics of climate change? * What are the basic physics and assumptions behind the anthropogenic global warming (AGW) hypothesis or belief? Are they valid? * What element or compound is the single greatest factor in temperature control in our atmosphere? Hint—it isn’t carbon dioxide. How does carbon dioxide compare with this other chemical? "Takes less than an hour to read... A must-read for every official policy-maker at every level... This deserves 6 stars out of 5!" -- Terry Dunleavy (Amazon reviewer) “Brilliant, what a refreshing approach.” -- Christopher K. Before we spend more time, money, and emotional energy on the presumed EFFECTS and CONSEQUENCES of global warming and climate change (things like rising temperatures, rising sea levels, etc., etc.), shouldn’t we all have a BASIC UNDERSTANDING of the FUNDAMENTAL PROCESSES AND PHYSICS of our planet’s atmosphere? If you have any questions, or doubts about that, this book is for you. “Very good. I am a geophysicist.” -- Ben B. Even better, you’ll learn (or re-learn) a very simple and indisputable fact about our atmosphere that makes the entire controversy look ridiculous. Use this information as a test (or a bet) the next time you talk with someone on the “other side” of the climate change debate. “A very useful contribution to bringing sanity and reason back to the analysis of AGW.” – Tom P. The climate change threat is consuming more of our precious time, energy, and resources. So is the debate about what to do about it. Don’t allow yourself be a part of the problem—get this book so that you can be a part of the solution! If you are convinced that AGW is the biggest threat facing our planet, this book has facts and

    joins Ford Motor Co. in 1948, he has no idea the part he'll play in automotive history. Morsey's arrival comes as Henry Ford II and other titans in the industry are about to kill the vaunted V-8 engine. He sees it as his sole mission to talk them out of it. In The Man Who Saved the V-8, he shares the never-before-told story of how his crusade saved the engine that would go on to power iconic cars like the Ford Thunderbird and Mustang. "To this day, I have no idea how a young, newly hired manager like myself...had the nerve to challenge the most powerful men inside Ford Motor Company and tell them they were wrong," Morsey says. "But that is exactly what I did." The twenty-nine-year-old executive embarks on massive market research. He works with manufacturing experts to find ways to produce the V-8 engine more efficiently. After finding success, he goes on to continue playing a central role in some of the most pivotal decisions that would ensure Ford remains one of the powerhouses in the automotive industry. The Man Who Saved the V-8 tells the story of his successes and lessons learned.

    This introductory text is suitable for use in a course on the subject or for self-study, featuring broad coverage and a readable exposition, with many examples and exercises. The four main chapters present the basics: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The author emphasizes the geometric aspects of the subject, which helps students gain intuition. A unique feature is the inclusion of many optional topics not usually part of a first course due to time constraints: Bockstein and transfer homomorphisms, direct and inverse limits, H-spaces and Hopf algebras, the Brown representability theorem, the James reduced product, the Dold-Thom theorem, and Steenrod squares and powers.

    The author has a direct style. His book presents detailed and intensive explanations. Many diagrams and key examples are used to aid understanding, as well as the application of calculus to physics and engineering and economics. The text is well organized, and it covers single variable and multivariable calculus in depth. An instructor's manual and student guide are available online at http: //ocw.mit.edu/ans7870/resources/Strang/....

    These singularities are places where space-time begins or ends, and the presently known laws of physics break down. They will occur inside black holes, and in the past are what might be construed as the beginning of the universe. To show how these predictions arise, the authors discuss the General Theory of Relativity in the large. Starting with a precise formulation of the theory and an account of the necessary background of differential geometry, the significance of space-time curvature is discussed and the global properties of a number of exact solutions of Einstein's field equations are examined. The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions. A discussion of the Cauchy problem for General Relativity is also included in this 1973 book.

    In Making Numbers Count, Chip Heath argues that it's crucial for us all to be able to interpret and communicate numbers and stats more effectively so that data comes alive. By combining years of research into making ideas stick with a deep understanding of how the brain really works, Heath has discerned six critical principles that will give anyone the tools to communicate numbers with more transparency and meaning. These ideas - including simplicity, concreteness and familiarity - reveal what's compelling about a number and show how to transform it into its most understandable form. And if we can do this when we're using numbers, Heath tells us, then the idea of data won't drive people to panic. We're not hungry for numbers - there's an unfathomable amount of information being generated each year - but we are starved for meaning. The ability to communicate and understand numbers has never mattered more.

    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

    The discussion of problem solving strategies is extensive. It is written for trainers and participants of contests of all levels up to the highest level: IMO, Tournament of the Towns, and the noncalculus parts of the Putnam Competition. It will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", "problem of the month", and "research problem of the year" to their students, thus bringing a creative atmosphere into their classrooms with continuous discussions of mathematical problems. This volume is a must-have for instructors wishing to enrich their teaching with some interesting non-routine problems and for individuals who are just interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. Very few problems have no solutions. Readers interested in increasing the effectiveness of the book can do so by working on the examples in addition to the problems thereby increasing the number of problems to over 1300. In addition to being a valuable resource of mathematical problems and solution strategies, this volume is the most complete training book on the market.

    But in spirit, the title is apt, as the book does cover a much broader range of topics than a typical introductory book on mathematical statistics. This book is for people who want to learn probability and statistics quickly. It is suitable for graduate or advanced undergraduate students in computer science, mathematics, statistics, and related disciplines. The book includes modern topics like nonparametric curve estimation, bootstrapping, and clas- sification, topics that are usually relegated to follow-up courses. The reader is presumed to know calculus and a little linear algebra. No previous knowledge of probability and statistics is required. Statistics, data mining, and machine learning are all concerned with collecting and analyzing data. For some time, statistics research was con- ducted in statistics departments while data mining and machine learning re- search was conducted in computer science departments. Statisticians thought that computer scientists were reinventing the wheel. Computer scientists thought that statistical theory didn't apply to their problems. Things are changing. Statisticians now recognize that computer scientists are making novel contributions while computer scientists now recognize the generality of statistical theory and methodology. Clever data mining algo- rithms are more scalable than statisticians ever thought possible. Formal sta- tistical theory is more pervasive than computer scientists had realized.

    Verification that algorithms work is emphasized more than their complexity. An effective use of examples, and huge number of interesting exercises, demonstrate the topics of trees and distance, matchings and factors, connectivity and paths, graph coloring, edges and cycles, and planar graphs. For those who need to learn to make coherent arguments in the fields of mathematics and computer science.

    Theory and practice in the design of data graphics, 250 illustrations of the best (and a few of the worst) statistical graphics, with detailed analysis of how to display data for precise, effective, quick analysis. Design of the high-resolution displays, small multiples. Editing and improving graphics. The data-ink ratio. Time-series, relational graphics, data maps, multivariate designs. Detection of graphical deception: design variation vs. data variation. Sources of deception. Aesthetics and data graphical displays. This is the second edition of The Visual Display of Quantitative Information. Recently published, this new edition provides excellent color reproductions of the many graphics of William Playfair, adds color to other images, and includes all the changes and corrections accumulated during 17 printings of the first edition.

    Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt and debated in 20th-century mathematics.The present volume reprints the first English translation of Giidel's far-reaching work. Not only does it make the argument more intelligible, but the introduction contributed by Professor R. B. Braithwaite (Cambridge University}, an excellent work of scholarship in its own right, illuminates it by paraphrasing the major part of the argument.This Dover edition thus makes widely available a superb edition of a classic work of original thought, one that will be of profound interest to mathematicians, logicians and anyone interested in the history of attempts to establish axioms that would provide a rigorous basis for all mathematics. Translated by B. Meltzer, University of Edinburgh. Preface. Introduction by R. B. Braithwaite.

    To reach this unique audience, Whitlock and Schluter motivate learning with interesting biological and medical examples; they emphasize intuitive understanding; and they focus on real data. The book covers basic topics in introductory statistics, including graphs, confidence intervals, hypothesis testing, comparison of means, regression, and designing experiments. It also introduces the principles behind such modern topics as likelihood, linear models, meta-analysis and computer-intensive methods. Instructors and students consistently praise the book's clear and engaging writing, strong visualization techniques, and its variety of fascinating and relevant biological examples.

    The exposition is simple and leads to the most complete direct means of solving problems in mechanics. The final sections on adiabatic invariants have been revised and augmented. In addition a short biography of L D Landau has been inserted.