Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics.Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics? Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts.Brought up to date with a new chapter by Ian Stewart, What is Mathematics? Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved.Formal mathematics is like spelling and grammar - a matter of the correct application of local rules. Meaningful mathematics is like journalism - it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature - it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature - it opens a window onto the world of mathematics for anyone interested to view.

    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.

    Cox and Forshaw's contention? There is no need for quantum mechanics to be viewed this way. There is a lot of mileage in the 'weirdness' of the quantum world, and it often leads to confusion and, frankly, bad science. The Quantum Universe cuts through the Wu Li and asks what observations of the natural world made it necessary, how it was constructed, and why we are confident that, for all its apparent strangeness, it is a good theory.The quantum mechanics of The Quantum Universe provide a concrete model of nature that is comparable in its essence to Newton’s laws of motion, Maxwell’s theory of electricity and magnetism, and Einstein’s theory of relativity.

     Building Thinking Classrooms in Mathematics, Grades K-12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guideProvides the what, why, and how of each practice Includes firsthand accounts of how these practices foster thinking Offers a plethora of macro moves, micro moves, and rich tasks to get started

    Cheiro the world famous seer tells you all, in this book, about thr secret power numbers, these Numbers can make you predict your own future accurately. Learn, how by adopting a minor change in your name you can turn your bad luck into profitable gains. Numbers of Names - Dates - Health - Diseases - Herbs - Colours - Cities - Racing & Mystery.

    Discovered by an 18th century mathematician and preacher, Bayes' rule is a cornerstone of modern probability theory. In this richly illustrated book, intuitive visual representations of real-world examples are used to show how Bayes' rule is actually a form of commonsense reasoning. The tutorial style of writing, combined with a comprehensive glossary, makes this an ideal primer for novices who wish to gain an intuitive understanding of Bayesian analysis. As an aid to understanding, online computer code (in MatLab, Python and R) reproduces key numerical results and diagrams.Stone's book is renowned for its visually engaging style of presentation, which stems from teaching Bayes' rule to psychology students for over 10 years as a university lecturer.

    No complex terminology. ★FREE eBook Download inside★ Your dad taught you how to play Chess, but he didn’t teach you much. You already know how to checkmate and move the pieces, but let’s face it, your friends and family still beat you more than you’d like. You don't just want to play. You want to win and possibly CONQUER ALL YOUR FRIENDS! You sly dog! I know the feeling and I’m here to help. My name is Maxen R. Tarafa and I’m a Skill Artist. In a few short months, I went from a struggling post-beginner to an adept intermediate player and doubled my Chess ability by teaching myself. In this book, I show you how you can double, even triple, your Chess ability like I did, but faster. But I’m going to tell you right now. My method is rather controversial. You see, most chess “experts” bombard you with complex Chess notation (QxB6?) and expect you to read complex Chess terminology. I don’t do that. I’ll give you a cheat sheet of what you NEED to remember, and you’ll be off to the Chess boards and killing Queens like it’s nobody’s business. In this book, you learn: -How to play your first 10 moves so YOU control the game (Chess Openings) -How to use 3 techniques (or Chess tactics) like bringing light sabers to a knife fight -How to identify one weakness, if you simply recognize it, you can win in one move -How to cut your training time in ½. Know what to study and apply brainhacking techniques. -How to avoid common beginner mistakes with time-tested Chess strategy -Where to find FREE Chess websites, apps, videos, and technology to double your skills -How to use the one principle I taught to Eduardo that took him from losing miserably to unbeatable -How to “bend” the Chess rules with little-known special moves (it’s not cheating!) -And more I taught a 9-year-old these principles and a week later he was beating 17-year-olds. Anyone, even you, can learn how to double your Chess ability by learning a few easy principles. You’ll even learn how to speed your decision-making and play speed chess. If you’re looking for quick and easy Chess instruction to double your skills, but don’t want to learn complex terminology and notation, this book is for you! Don’t let your friend, brother, dad, or roommate beat you again! Join the Casual Chess revolution! Plain-English Chess Instruction for Casual Players, Post-Beginners, and People who Want to Learn Fast! ★Now Available in Paperback! To buy paperback, scroll up and click the Paperback link (by the cover image)★

    It will keep you entertained for hours. It's the very unusual story of Paul Henry - from his eventful childhood to his adventurous career in journalism to his recent outrageous comments on television which divided the country.A natural-born story teller, Paul spins many great yarns in this book. It's fascinating insight into his complex character. He's surprising -- he doesn't adhere to any prescribed set of beliefs. He's bold -- he set himself up as an international news correspondent working out of his Masterton lounge. And he's versatile -- turning his hand to running a cafe, running for Parliament and running from terrorists.

    In the early days of AA, sponsors would come to the alcoholic's home and talk him through Steps 1 and 2, and when they were thoroughly convinced he was ready, they would start him on the program. Step 12 is the foundation of sponsorships: "Having had a spiritual awakening as the result of these steps, we tried to carry this message to alcoholics, to practice these principles in all our affairs." Carry This Message addresses McQ's concern that sponsors have lost some skills in working with alcoholics. AA sponsors need to refocus on the Big Book, on the Twelve Steps, and on their message, urges McQ, to recognize the value of the program and to return to its roots and essence. Directed to sponsors, this is a companion book to The Steps We Took, offering tools for helping others find recovery and new life through the Twelve Step program.

    No matter if you use your RV just a few weekends and holidays a year or make it your full time home, you will find tips that will make your RV travels easier, safer and more enjoyable. You'll find tips that will save you time and money. You will find tips on getting your mail while traveling, internet access, boondocking, and work camping. You'll learn how to save money on camping fees just by choosing where to stay and staying longer. You will get tips on how you can customize your RV to make your home.Chapter TitlesRV Care & Maintenance TipsRV Boondocking – Dry-Camping – Overnighting TipsRV Camping TipsRV Park Reservation & Check-In ChecklistsRV Travel & Destination TipsRV Driving TipsRV Lifestyle TipsWork Camping TipsRV Accessories TipsRV Battery TipsRV Holding Tanks & Toilet TipsRV Fresh Water System TipsRV Electrical System TipsRV Refrigerator TipsMiscellaneous RV TipsTips for RVing With Dogs This book includes over 400 tips. You pay pennies for tips that can save you hundreds of dollars.About the Editors: As most folks do, we started out tent camping. In the late 1970s we ventured across the country from northern California to western Pennsylvania and back through Washington and Oregon in Steven’s boxy old 1965 Chevy van.   Those were the days, my friends. That trip had a lasting effect and over time we realized we were destined to be full time RVers. In 1995 we sold our house and a Recreational Vehicle became our home. An RV has been our home every since.

    With step-by-step instructions, illustrated crease patterns, and how-to photos, you'll learn to create these wonderful designs yourself. Eric's first book covers the fundamentals of origami tessellations, provides history, and describes simple beginning techniques with detailed illustrations and photographs. An extensive gallery showcases tessellations folded by the world's leading origami fine artists---inspiring you to experiment, innovate, and eventually create your own unique designs.

    It emphasizes forms suitable for students and researchers whose interest lies in solving equations rather than in general theory. Solutions to odd-numbered problems appear at the end. 1957 edition.

    Focused on groups, rings and fields, this text gives students a firm foundation for more specialized work by emphasizing an understanding of the nature of algebraic structures. KEY TOPICS: Sets and Relations; GROUPS AND SUBGROUPS; Introduction and Examples; Binary Operations; Isomorphic Binary Structures; Groups; Subgroups; Cyclic Groups; Generators and Cayley Digraphs; PERMUTATIONS, COSETS, AND DIRECT PRODUCTS; Groups of Permutations; Orbits, Cycles, and the Alternating Groups; Cosets and the Theorem of Lagrange; Direct Products and Finitely Generated Abelian Groups; Plane Isometries; HOMOMORPHISMS AND FACTOR GROUPS; Homomorphisms; Factor Groups; Factor-Group Computations and Simple Groups; Group Action on a Set; Applications of G-Sets to Counting; RINGS AND FIELDS; Rings and Fields; Integral Domains; Fermat's and Euler's Theorems; The Field of Quotients of an Integral Domain; Rings of Polynomials; Factorization of Polynomials over a Field; Noncommutative Examples; Ordered Rings and Fields; IDEALS AND FACTOR RINGS; Homomorphisms and Factor Rings; Prime and Maximal Ideas; Gr�bner Bases for Ideals; EXTENSION FIELDS; Introduction to Extension Fields; Vector Spaces; Algebraic Extensions; Geometric Constructions; Finite Fields; ADVANCED GROUP THEORY; Isomorphism Theorems; Series of Groups; Sylow Theorems; Applications of the Sylow Theory; Free Abelian Groups; Free Groups; Group Presentations; GROUPS IN TOPOLOGY; Simplicial Complexes and Homology Groups; Computations of Homology Groups; More Homology Computations and Applications; Homological Algebra; Factorization; Unique Factorization Domains; Euclidean Domains; Gaussian Integers and Multiplicative Norms; AUTOMORPHISMS AND GALOIS THEORY; Automorphisms of Fields; The Isomorphism Extension Theorem; Splitting Fields; Separable Extensions; Totally Inseparable Extensions; Galois Theory; Illustrations of Galois Theory; Cyclotomic Extensions; Insolvability of the Quintic; Matrix Algebra MARKET: For all readers interested in abstract algebra.

     Euclid in living color   Nearly a century before Mondrian made geometrical red, yellow, and blue lines famous, 19th century mathematician Oliver Byrne employed the color scheme for the figures and diagrams in his most unusual 1847 edition of Euclid's Elements. The author makes it clear in his subtitle that this is a didactic measure intended to distinguish his edition from all others: “The Elements of Euclid in which coloured diagrams and symbols are used instead of letters for the greater ease of learners.” As Surveyor of Her Majesty’s Settlements in the Falkland Islands, Byrne had already published mathematical and engineering works previous to 1847, but never anything like his edition on Euclid. This remarkable example of Victorian printing has been described as one of the oddest and most beautiful books of the 19th century. Each proposition is set in Caslon italic, with a four-line initial, while the rest of the page is a unique riot of red, yellow, and blue. On some pages, letters and numbers only are printed in color, sprinkled over the pages like tiny wild flowers and demanding the most meticulous alignment of the different color plates for printing. Elsewhere, solid squares, triangles, and circles are printed in bright colors, expressing a verve not seen again on the pages of a book until the era of Dufy, Matisse, and Derain.

    In this book, William Cook takes readers on a mathematical excursion, picking up the salesman's trail in the 1800s when Irish mathematician W. R. Hamilton first defined the problem, and venturing to the furthest limits of today's state-of-the-art attempts to solve it. He also explores its many important applications, from genome sequencing and designing computer processors to arranging music and hunting for planets.In Pursuit of the Traveling Salesman travels to the very threshold of our understanding about the nature of complexity, and challenges you yourself to discover the solution to this captivating mathematical problem.