Best Logic

Many students have trouble the first time they take a mathematics course in which proofs play a significant role. The author uses these concepts as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. He shows how complex proofs are built up from these smaller steps, using detailed "scratch work" sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets.

Here are cogent explanations of the straw man fallacy, the slippery slope argument, the ad hominem attack, and other common attempts at reasoning that actually fall short—plus a beautifully drawn menagerie of animals who (adorably) commit every logical faux pas . I can’t think of a better way to be taught or reintroduced to these fundamental notions of logical discourse. A delightful little book.” — Aaron Koblin , creative director, Google’s Data Arts team. A flawless compendium of flaws.” — Alice Roberts, PhD, anatomist, writer, and presenter of The Incredible Human Journey. “This little book takes a potentially ponderous subject (logical fallacies) and makes it wonderfully entertaining.” — Omaha World-Herald. Almossawi and his McSweeney’s-ready artist Giraldo accessibly tackle such classic subjects as circular reasoning, false dilemma, straw man, appeal to ignorance, and genetic fallacy . an attractive, substantive read.” — John Wenzel , Denver Post blog. “Now more than ever, you need this illustrated guide to bad arguments, faulty logic, and silly rhetoric.” — Dan Solomon , Fast Company magazine online. He currently lives with his wife and daughter in San Francisco, where he works as a data visualization designer for Mozilla, while continuing to collaborate with his colleagues at the MIT Media Lab.

Generations of readers have relished Polya's deft—indeed, brilliant—instructions on stripping away irrelevancies and going straight to the heart of the problem. The traditional mathematics professor who reads a paper before one of the Mathematical Societies might also learn something from the book: 'He writes a, he says b, he means c; but it should be d.' " --E. T. Bell, Mathematical Monthly "[This] elementary textbook on heuristic reasoning, shows anew how keen its author is on questions of method and the formulation of methodological principles. "Every mathematics student should experience and live this book" -- Mathematics Magazine. "In an age that all solutions should be provided with the least possible effort, this book brings a very important message: mathematics and problem solving in general needs a lot of practice and experience obtained by challenging creative thinking, and certainly not by copying predefined recipes provided by others. John H. Conway is professor emeritus of mathematics at Princeton University.

This expanded and updated second edition of a classic bestseller continues to take the 'mystery' out of designing and analyzing algorithms and their efficacy and efficiency. “The Algorithm Design Manual by Steven Skiena is aimed at two groups of people: students and professionals. … Each of the topics is treated in a readable informal style with lots of asides and accounts of personal experiences - ‘war stories’ in implementing algorithms. It will not only serve as a valuable undergraduate textbook, but it will also become an irreplaceable reference guide for most professionals in the area." … this book is suitable as a text for an undergraduate algorithms class, but also as an invaluable reference for the practicing programmer. "My absolute favorite for this kind of interview preparation is Steven Skiena’s The Algorithm Design Manual. More than any other book it helped me understand just how astonishingly commonplace … graph problems are -- they should be part of every working programmer’s toolkit. The book also covers basic data structures and sorting algorithms, which is a nice bonus. The list of implementations, an extensive bibliography … make the book an invaluable resource for everyone interested in the subject." The list of implementations [and] extensive bibliography make the book an invaluable resource for everyone interested in the subject." "It has all the right ingredients: rich contents, friendly, personal language, subtle humor, the right references, and a plethora of pointers to resources." This newly expanded and updated second edition of the best-selling classic continues to take the "mystery" out of designing algorithms, and analyzing their efficacy and efficiency. Expanding on the first edition, the book now serves as the primary textbook of choice for algorithm design courses while maintaining its status as the premier practical reference guide to algorithms for programmers, researchers, and students. The first part, Techniques , provides accessible instruction on methods for designing and analyzing computer algorithms. • Contains a unique catalog identifying the 75 algorithmic problems that arise most often in practice, leading the reader down the right path to solve them.

A historical introduction presents a brief account of the growth of set theory, with special emphasis on problems that led to the development of the various systems of axiomatic set theory. Starting with a repetition of the familiar arguments of elementary set theory, the level of abstract thinking gradually rises for a progressive increase in complexity.A historical introduction presents a brief account of the growth of set theory, with special emphasis on problems that led to the development of the various systems of axiomatic set theory.

Generations of readers have relished Polya's deft—indeed, brilliant—instructions on stripping away irrelevancies and going straight to the heart of the problem. The traditional mathematics professor who reads a paper before one of the Mathematical Societies might also learn something from the book: 'He writes a, he says b, he means c; but it should be d.' " --E. T. Bell, Mathematical Monthly "[This] elementary textbook on heuristic reasoning, shows anew how keen its author is on questions of method and the formulation of methodological principles. "Every mathematics student should experience and live this book" -- Mathematics Magazine. "In an age that all solutions should be provided with the least possible effort, this book brings a very important message: mathematics and problem solving in general needs a lot of practice and experience obtained by challenging creative thinking, and certainly not by copying predefined recipes provided by others. John H. Conway is professor emeritus of mathematics at Princeton University.

Calculus For Dummies, 2nd Edition (9781119293491) was previously published as Calculus For Dummies, 2nd Edition (9781118791295). Calculus For Dummies , 2nd Edition makes calculus manageable—even if you're one of the many students who sweat at the thought of it. An easy-to-follow introduction to calculus Detailed explanations of differentiation and integration Real-life examples of when calculus comes in handy. What calculus is and why it works An algebra and trigonometry review The lowdown on limits How to use differentiation Integration techniques Infinite series Clever calculus shortcuts.

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Master the fundamentals first for a smoother ride through math Basic Math & Pre-Algebra Workbook For Dummies is your ticket to finally getting a handle on math! Basic Math & Pre-Algebra Workbook For Dummies is your ultimate math coach, with hundreds of guided practice practice problems to help you break through the math barrier. Demystify geometry and algebra Work with the powers of ten Handle factors and multiples Explore expressions and exponents Learn scientific notation and equations Test yourself with online quizzes.

What he tossed out to the assembled mathematicians that day has proven to be almost cruelly compelling to countless scholars in the ensuing years. In a series of extraordinary developments during the 1970s, it emerged that even the physics of the atomic nucleus is connected in ways not yet fully understood to this strange conundrum. Alternating passages of extraordinarily lucid mathematical exposition with chapters of elegantly composed biography and history, Prime Obsession is a fascinating and fluent account of an epic mathematical mystery that continues to challenge and excite the world. In Prime Obsession , John Derbyshire deals brilliantly with both Riemann's life and that problem: proof of the conjecture, "All non-trivial zeros of the zeta function have real part one-half." Though the statement itself passes as nonsense to anyone but a mathematician, Derbyshire walks readers through the decades of reasoning that led to the Riemann Hypothesis in such a way as to clear it up perfectly. Prime Obsession offers alternating chapters of step-by-step math and a history of 19th-century European intellectual life, letting readers take a breather between chunks of well-written information. Derbyshire treats the hypothesis historically, tracking increments of progress with sketches of well-known people, such as David Hilbert and Alan Turing, who have been stymied by it.

This edition is organized into nine well-defined chapters: Trigonometric Fourier Series, Orthogonal Systems, Convergence of Trigonometric Fourier Series, Trigonometric Series with Decreasing Coefficients, Operations on Fourier Series, Summation of Trigonometric Fourier Series, Double Fourier Series and the Fourier Integral, Bessel Functions and Fourier-Bessel Series, and the Eigenfunction Method and its Applications to Mathematical Physics.

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Discrete Mathematics and its Applications, Seventh Edition, is intended for one- or two-term introductory discrete mathematics courses taken by students from a wide variety of majors, including computer science, mathematics, and engineering. Ken Rosen (Middletown, NJ) is a distinguished member of the technical staff at AT & T Labs.