Jam-packed with information, photographs, charts and maps for additional study and research.

    By 1949, Godel had produced a remarkable proof: In any universe described by the Theory of Relativity, time cannot exist. Einstein endorsed this result reluctantly but he could find no way to refute it, since then, neither has anyone else. Yet cosmologists and philosophers alike have proceeded as if this discovery was never made. In A World Without Time, Palle Yourgrau sets out to restore Godel to his rightful place in history, telling the story of two magnificent minds put on the shelf by the scientific fashions of their day, and attempts to rescue the brilliant work they did together.

    Text, illustrations, and suggested activities offer a common-sense approach to mathematic fundamentals for those who are slightly terrified of numbers.

    Readerswill find information on frequency distributions; mean, median, and mode; range, variance, and standard deviation;probability; and more.-Emphasizes Microsoft Excel for number-crunching and computationsDownload a sample chapter.

    The addition of this book is a must for all upper-level Christian school curricula and for college students and adults interested in math or related fields of science and religion. It will serve as a solid refutation for the claim, often made in court, that mathematics is one subject, which cannot be taught from a distinctively Biblical perspective.

    Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: ..". all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999..". the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ..." LMS Newsletter, January 1999This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such as an exciting new way to "enumerate the rationals."

    It outlines a set of mindsets and habits you can use to help you identify the most impactful parts of your teaching, and put them centre stage.It's about doing less to achieve more.But it's also about being happier and more confident in the classroom. Building stronger routines around the essentials will give you more time and space to appreciate and think creatively about your work.POWER UP YOUR PLANNINGLean Lesson Planning draws on the latest evidence from educational research and cognitive science, to present a concise and coherent framework to help you improve learning experiences and outcomes for your students. It's the evidence-based teacher's guide to planning for learning, and sits alongside books such as Teach Like a Champion, Embedded Formative Assessment, and Visible Learning for Teachers.NOTE If you're looking for ways to short-cut the amount of time you spend planning lessons, then this book is not for you. The approach outlined in Lean Lesson Planning requires effort and practice, that given time, will lead to better teaching and higher quality learning for less input.---CONTENTSACT I Lean foundations1. Defining lean 2. Lean mindsets 3. Lean habits ACT II Habits for planning4. Backwards design 5. Knowing knowledge 6. Checking understanding 7. Efficient strategies 8. Lasting learning 9. Inter-lesson planning ACT III Habits for growing10. Building excellence 11. Growth teaching 12. Collective improvement Lean Lesson Planning is the first instalment in the High Impact Teaching series.

    Russell's classic The Principles of Mathematics sets forth his landmark thesis that mathematics and logic are identical―that what is commonly called mathematics is simply later deductions from logical premises.His ideas have had a profound influence on twentieth-century work on logic and the foundations of mathematics.

     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

    The complexity of nature's shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry, the geometry of fractal shapes.Now that the field has expanded greatly with many active researchers, Mandelbrot presents the definitive overview of the origins of his ideas and their new applications. The Fractal Geometry of Nature is based on his highly acclaimed earlier work, but has much broader and deeper coverage and more extensive illustrations.

    And watch out for One Finger Jimmy, Chainsaw Charlie and their gangster friends, who are living proof that maths can be murderous.

    With it has come vast amounts of data in a variety of fields such as medicine, biology, finance, and marketing. The challenge of understanding these data has led to the development of new tools in the field of statistics, and spawned new areas such as data mining, machine learning, and bioinformatics. Many of these tools have common underpinnings but are often expressed with different terminology. This book describes the important ideas in these areas in a common conceptual framework. While the approach is statistical, the emphasis is on concepts rather than mathematics. Many examples are given, with a liberal use of color graphics. It should be a valuable resource for statisticians and anyone interested in data mining in science or industry. The book's coverage is broad, from supervised learning (prediction) to unsupervised learning. The many topics include neural networks, support vector machines, classification trees and boosting—the first comprehensive treatment of this topic in any book. Trevor Hastie, Robert Tibshirani, and Jerome Friedman are professors of statistics at Stanford University. They are prominent researchers in this area: Hastie and Tibshirani developed generalized additive models and wrote a popular book of that title. Hastie wrote much of the statistical modeling software in S-PLUS and invented principal curves and surfaces. Tibshirani proposed the Lasso and is co-author of the very successful An Introduction to the Bootstrap. Friedman is the co-inventor of many data-mining tools including CART, MARS, and projection pursuit.

    At a time when the poor math performance of American school children has labeled us a "nation of underachievers," what can parents--often themselves daunted by the mysteries of mathematics--do to help their children? In Games for Math, Peggy Kaye--teacher extraordinaire and author of the highly praised Games for Reading--gives parents more than fifty marvelous and effective ways to help their children learn math by doing just what kids love best: playing games.

    Melting & boiling points, Density, Electronegativity, Electron affinity, and much more in the Full version. Navigate from TOC or search for words or phrases. Features Formatted for a small screen Atomic numbers, symbols & weights Chemical symbols and more... Easy to navigate. Search for the words or phrases Navigate from Table of Contents or read page by page Access the guide anytime, anywhere - at home, on the train, in the subway. Use your down time to prepare for an exam. Always have the guide available for a quick reference. Table of Contents Periodic Table: Standard | LargeList of elements sorted by: Atomic number (including atomic Mass) | Name | Symbol | Boiling Point | Melting Point | Density | Atomic radius | Electronegativity | Electron affinity | Ionization potential | Standard enthalpy change of vaporization | Standard enthalpy change of fusion | Specific heat capacity About Periodic Table: Arrangement | Periodicity of chemical properties | Electron configuration | Naming of elements | Chemical symbols | HistoryChemical Series: Alkali metal | Alkaline earth metal | Lanthanides | Actinides | Transition metals | Poor metals | Metalloids | Nonmetals | Halogens | Noble gasesAppendix: IUPAC nomenclature | Metric system (SI) | SI writing style | Powers of 10 prefixes | United States units conversion

    The algorithms you'll use most often as a programmer have already been discovered, tested, and proven. If you want to take a hard pass on Knuth's brilliant but impenetrable theories and the dense multi-page proofs you'll find in most textbooks, this is the book for you. This fully-illustrated and engaging guide makes it easy for you to learn how to use algorithms effectively in your own programs.Grokking Algorithms is a disarming take on a core computer science topic. In it, you'll learn how to apply common algorithms to the practical problems you face in day-to-day life as a programmer. You'll start with problems like sorting and searching. As you build up your skills in thinking algorithmically, you'll tackle more complex concerns such as data compression or artificial intelligence. Whether you're writing business software, video games, mobile apps, or system utilities, you'll learn algorithmic techniques for solving problems that you thought were out of your grasp. For example, you'll be able to:Write a spell checker using graph algorithmsUnderstand how data compression works using Huffman codingIdentify problems that take too long to solve with naive algorithms, and attack them with algorithms that give you an approximate answer insteadEach carefully-presented example includes helpful diagrams and fully-annotated code samples in Python. By the end of this book, you will know some of the most widely applicable algorithms as well as how and when to use them.