Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.

    It includes advice on techniques, safety, navigation, nutrition, fitness and decision making. The book also features information on recent evolutions in ski equipment, mountain weather and glaciers, trip planning tools, and emergency situations.

    GRAPH THEORY WITH APPLICATIONS TO ENGINEERING AND COMPUTER SCIENCE-PHI-DEO, NARSINGH-1979-EDN-1

    When he retired forty years later, it was nearing 20,000.Though Bob's ministry was a clear success, he'd be the first to say it wasn’t perfect. In After 50 Years of Ministry he shares why. He reflects on the best of what he’s learned—sometimes the hard way—about ministry and leadership, like how to:Respond to criticismProtect your marriageStop comparing yourself to other pastorsHandle a staff moral failurePrioritize preaching in your scheduleBuild trust with your eldersMake the best use of downtimeHilarious, warm, and full of great stories and illustrations, After 50 Years of Ministry is sage advice from a faithful servant of God. If you are in leadership of any kind, don’t miss this chance to learn from one of the best.

    A Ranger's Guide to Yellowstone Day Hikes features 29 day hikes of different lengths and levels of difficulty. Each hike in the book has a GPS-compatible map, color photograph, narrative about natural and human history, botany, geology, and other highlights along the trail. Visit FarcountryPress.com for more information.

    avoid opinion ... facts are your single clue. Get the facts!' - time Enough for Love, Robert Heinlein Does eating celery make you lighter? Do you have to be dying to have a near-death experience? Is a yawn a silent, natural scream for air; and if a little oxygen is good for you is more oxygen better? Can the humble spud kill? Did Galileo drop his balls from the Leaning tower of Pisa? Did a NASA computer really prove a miracle in the Bible actually happened? Is there any substance harder than diamond, and do diamonds really last forever? And exactly how many Eskimo words for 'snow' are there? Wherever he goes, people always ask Dr Karl to explain stuff, and in this his 26th book (26 is the only number directly between a square and a cube), he explains more myths and curly questions. Visit Dr Karl at www.drkarl.com

    The specialities of each individual number, from zero to nine, and the little mathematical tricks as shown by Shakuntala Devi, all combine to make the reader learn to befriend numbers and excel at maths.

    There are classical logic puzzles, lateral thinking puzzles, “who am I?” riddles, mathematical brain teasers, word ladders, ditloids, and a large selection of illustrated pen and paper, coins, cups, and toothpicks puzzles (please view the preview of this book for a full listing). This is the first time a collection of such breadth has been compiled and formatted especially for Kindle devices. The puzzles have been carefully organized into 25 chapters, and each question is hyperlinked to its solution, to provide utmost ease of navigation. Alongside the world’s most famous riddles, are some lesser known gems, and some brand new puzzles, in print here for the first time. Our aim was to create a definitive compendium of riddles and puzzles to bring enjoyment to people of all ages. We hope you will enjoy unraveling them as much as we enjoyed creating and editing them. Here are a handful of sample riddles: Outside the Box Riddles: You need to divide a round birthday cake into eight pieces, so each of your guests will have something to eat. How can you do this by making only three straight cuts with a knife, and without moving any of the pieces? The king’s two bodyguards developed an ingenious method for assuring the king’s safety. With the king standing between them, they would face in opposite directions; one looking to the west and the other to the east, but at the same time, and without the use of any reflective surfaces, they would both be able to observe the king clearly. How was this possible? Pure Logic Riddles: There are two glasses. One contains water, and the other contains an equal quantity of wine. A teaspoon of water is removed and mixed into the glass of wine. A teaspoon of the wine-water mixture is then removed and mixed into the glass of water. Which of the mixtures is now purer? The sorcerer’s tower was enchanted in such a way that it was able to build itself. Bricks, slates, tiles, and panes of glass, all flew to it of their own accord and danced into position. The tower doubled in size every day until after 100 days it reached a height that provided fine views over the entire realm. How many days did the tower take to reach half its full height? Lateral Thinking Puzzles: Five men are going to church. It starts to rain, and four of the men begin to run. When they arrive at the church, the four men who ran are soaking wet, whereas the fifth man, who didn’t run, is completely dry. How is this possible? Think Twice Riddles: If you are running a race, and you overtake the person in second place, what place do you move into? Word Riddles: SOS is read the same forwards, backwards, and even upside-down. What four-letter word also shares these properties? Number Puzzlers: How many letters are there in the answer to this question? You have an opportunity to buy a hen. In fact, you have been offered a choice between two quite remarkable animals. One of the hens produces six dozen dozen eggs per month, and the other produces a half dozen dozen. Admittedly, both seem impressive. Does it matter which hen you choose? Traditional Poetic Riddles: Five creatures cross a field of snow; But leave a single track behind Whose loops and bows are soon, I know, Unravelled by the mind. Coins, Cups, and Toothpicks Illustrated Riddles: A coin is dropped into an empty bottle and a cork is then inserted in the neck of the bottle. How is it possible to remove the coin without taking out the cork, or breaking the bottle?

    You proceed at your own rate and any difficulties you may encounter are resolved before you move on to the next topic. With a step-by-step programmed approach that is complemented by hundreds of worked examples and exercises, Advanced Engineering Mathematics is ideal as an on-the-job reference for professionals or as a self-study guide for students.Uses a unique technique-oriented approach that takes the reader through each topic step-by-step.Features a wealth of worked examples and progressively more challenging exercises.Contains Test Exercises, Learning Outcomes, Further Problems, and Can You? Checklists to guide and enhance learning and comprehension.Expanded coverage includes new chapters on Z Transforms, Fourier Transforms, Numerical Solutions of Partial Differential Equations, and more Complex Numbers.Includes a new chapter, Introduction to Invariant Linear Systems, and new material on difference equations integrated into the Z transforms chapter.

    A series of dialogues between a novice and a master teacher and between a new and a seasoned principal demonstrate how framing--and then reframing--challenges brings clarity.

    He proposes his solution.

    You can use these ideas and methods as-is, or better yet, tweak them and create your own enticing educational meals. The message the authors share is that, with imagination and preparation, every teacher can be a Classroom Chef.

    Plethora of Solved examples help the students know the variety of problems & Procedure to solve them. Plenty of practice problems facilitate testing their understanding of the subject. Key Features: Covers the syllabus of all the four papers of Engineering Mathematics Detailed coverage of topics with lot of solved examples rendering clear understanding to the students. Engineering Applications of Integral Calculus, Ordinary Differential Equations of First and Higher Order, & Partial Differential Equations illustrate the use of these methods. Chapters on preliminary topics like Analytical Solid Geometry Matrices and Determinants Sequence and Series Complex Numbers Vector Algebra Differential and Integral Calculus Extensive coverage of Probability and Statistics (5 chapters). Covers the syllabus of all the four papers of Engineering Mathematics Engineering Applications of Integral Calculus, Ordinary Differential Equations of First and Higher Order, & Partial Differential Equations illustrate the use of these methods. Extensive coverage of ?Probability and Statistics (5 chapters) Table of Content: PART I PRELIMI NARIES Chapter 1 Vector Algebra , Theory of Equations ,Complex Numbers PART II DIFFERENTIAL AND INTEGRAL CALCULUS

    This hilarious and informative book is designed for anyone who is sci-curious and wants to know more about the world around them, especially the elements of everyday science that other books ignore.

    It offers a fine balance between abstraction/theory and computational skills, and gives readers an excellent opportunity to learn how to handle abstract concepts. Included in this comprehensive and easy-to-follow manual are these topics: linear equations and matrices; solving linear systems; real vector spaces; inner product spaces; linear transformations and matrices; determinants; eigenvalues and eigenvectors; differential equations; and MATLAB for linear algebra. Because this book gives real applications for linear algebraic basic ideas and computational techniques, it is useful as a reference work for mathematicians and those in field of computer science.