Among the old chestnuts he cracks wide open are the following classics: Knights and knaves The monk and the mountain The dominoes and the chessboard The unexpected hanging The Tower of HanoiUsing real-world analogies, infectious humor, and a fresh approach, this deceptively simple volume will challenge, amuse, enlighten, and surprise even the most experienced puzzle solver.

    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.

    Spurred by her personal experience and extensive exploration of brain-based learning, author Marilee Sprenger explains how brain science--what we know about how the brain works--can be applied to social-emotional learning. Specifically, she addresses how to- Build strong, caring relationships with students to give them a sense of belonging. - Teach and model empathy, so students feel understood and can better understand others. - Awaken students' self-awareness, including the ability to name their own emotions, have accurate self-perceptions, and display self-confidence and self-efficacy. - Help students manage their behavior through impulse control, stress management, and other positive skills. - Improve students' social awareness and interaction with others. - Teach students how to handle relationships, including with people whose backgrounds differ from their own. - Guide students in making responsible decisions.Offering clear, easy-to-understand explanations of brain activity and dozens of specific strategies for all grade levels, Social-Emotional Learning and the Brain is an essential guide to creating supportive classroom environments and improving outcomes for all our students.

    Here, complete with detailed illustrations and basic as well as advanced solving techniques, is the ultimate speedcuber’s guide. It not only gives the solution to the familiar 3x3x3 cube (which has 43,252,003,274,489,856,000—that’s 43 quintillion—possible positions), but also the 2x2x2, 4x4x4, and staggeringly difficult 5x5x5 puzzles. With millions of cubes out there and countless would-be champions looking for tips to improve their times, this is the definitive manual for this unique sport.

    Ryder Cup team captainImpact has long been called golf's "moment of truth," and great golfers have spent countless hours working on their swings trying to upgrade their impact dynamics as the golf club approaches, contacts, then swings through the ball. For the first time, with The Impact Zone, golfers will have a book that focuses their attention on the very same region of the swing on which professional golfers have always concentrated. The Impact Zone is a unique instructional guide in that everything in it either focuses on or applies to improving a golfer's understanding and execution of impact. Here, acclaimed professional golfer Bobby Clampett concludes that the overwhelming bias and convention of today's contemporary teaching environment is to value swing styles over swing dynamics, and in so doing, the overwhelming majority of golf teachers miss the boat in terms of teaching the game effectively. Ultimately this emphasis on swing style comes at the expense of helping golfers to develop sound swing dynamics, which are the real keys to consistent ball striking and better golf. With the help of CBS's Swing Vision high-speed camera—using images from many of the game's greatest contemporary players (including Tiger Woods, Phil Mickelson, John Daly, Vijay Singh, Sergio Garcia, and more)—The Impact Zone takes an unprecedented look at the most important six inches in golf, those that immediately precede, contain, and follow impact. To further demonstrate these principles, Clampett presents photos and drills that convey the five essential dynamics golfers need to produce and reproduce solid impact Throughout these instructional pages, Bobby Clampett—teamed with veteran golf writer Andy Brumer—relays his own personal story of straying from swing dynamics and how he found his way back. He recalls memorable stories from the Tour, blending innovative instruction with his colorful, engaging anecdotes. Clampett and Brumer create an essential instructional guide with clear, concise advice—on creating great swing dynamics through the impact zone—the universally acknowledged key to more consistent and better golf.

    Say you?re already an experienced photographer? The helpful tips and tricks in this friendly book will get you quickly up to speed on the D3100's new 14-megapixel sensor, continous video/live focus, full HD video, expanded autofocus, and more. As a seasoned instructor at the Palm Beach Photographic Center, Julie anticipates all questions, whether you?re a beginner or digital camera pro, and offers pages of easy-to-follow advice.Helps you get every bit of functionality out of the new Nikon D3100 camera Walks you through its exciting new features, including the 14-megapixel sensor, continous video/live focus, full HD video, expanded autofocus, and the updated in-camera menu Explores shooting in Auto mode, managing playback options, and basic troubleshooting Explains how to adjust the camera's manual settings for your own preferred exposure, lighting, focus, and color style Covers digital photo housekeeping tips?how to organize, edit, and share your files Tap all the tools in this hot new DSLR camera and start taking some great pix with Nikon D3100 For Dummies.

    From Edward Lorenz’s discovery of the Butterfly Effect, to Mitchell Feigenbaum’s calculation of a universal constant, to Benoit Mandelbrot’s concept of fractals, which created a new geometry of nature, Gleick’s engaging narrative focuses on the key figures whose genius converged to chart an innovative direction for science. In Chaos, Gleick makes the story of chaos theory not only fascinating but also accessible to beginners, and opens our eyes to a surprising new view of the universe.

     This top-selling, theorem-proof text presents a careful treatment of the principal topics of linear algebra, and illustrates the power of the subject through a variety of applications. It emphasizes the symbiotic relationship between linear transformations and matrices, but states theorems in the more general infinite-dimensional case where appropriate.

    . . Algebra's importance lies in the student's future. . . as essential preparation for the serious study of science, engineering, economics, or for more advanced types of mathematics. . . The primary importance of trigonometry is not in its applications to surveying and navigation, or in making computations about triangles, but rather in the mathematical description of vibrations, rotations, and periodic phenomena of all kinds, including light, sound, alternating currents, and the orbits of the planets around the sun. In this brief, clearly written book, the essentials of geometry, algebra, and trigonometry are pulled together into three complementary and convenient small packages, providing an excellent preview and review for anyone who wishes to prepare to master calculus with a minimum of misunderstanding and wasted time and effort. Students and other readers will find here all they need to pull them through.

    Hermann Weyl explores the concept of symmetry beginning with the idea that it represents a harmony of proportions, and gradually departs to examine its more abstract varieties and manifestations--as bilateral, translatory, rotational, ornamental, and crystallographic. Weyl investigates the general abstract mathematical idea underlying all these special forms, using a wealth of illustrations as support. Symmetry is a work of seminal relevance that explores the great variety of applications and importance of symmetry.

    New co-authors--Irl Bivens and Stephen Davis--from Davidson College; both distinguished educators and writers.* More emphasis on graphing calculators in exercises and examples, including CAS capabilities of graphing calculators.* More problems using tabular data and more emphasis on mathematical modeling.

    Cases, datasets, and examples allow for a more real-world perspective and explore relevant uses of regression techniques in business today.

    Peter Bernstein has written a comprehensive history of man's efforts to understand risk and probability, beginning with early gamblers in ancient Greece, continuing through the 17th-century French mathematicians Pascal and Fermat and up to modern chaos theory. Along the way he demonstrates that understanding risk underlies everything from game theory to bridge-building to winemaking.

    He proposes his solution.

    In the Fourth Edition CALCULUS, EARLY TRANSCENDENTALS these functions are introduced in the first chapter and their limits and derivatives are found in Chapters 2 and 3 at the same time as polynomials and other elementary functions. In this Fourth Edition, Stewart retains the focus on problem solving, the meticulous accuracy, the patient explanations, and the carefully graded problems that have made these texts word so well for a wide range of students. All new and unique features in CALCULUS, FOURTH EDITION have been incorporated into these revisions also.