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Solving mathematical problems is a favourite pastime of many people - this book contains a wide variety of problems which will stimulate interest in mathematical ideas and methods in teenagers and students.
Many books have been written on the theory of functional equations, but very few help readers solve functional equations in mathematics competitions and mathematical problem solving. This book fills that gap. Each chapter includes a list of problems associated with the covered material. These vary in difficulty, with the easiest being accessible to any high school student who has read the chapter carefully. The most difficult will challenge students studying for the International Mathematical Olympiad or the Putnam Competition. An appendix provides a springboard for further investigation of the concepts of limits, infinite series and continuity.
From Ashima Shiraishi, one of the world's youngest and most skilled climbers, comes a true story of strength and perseverance--in rock climbing and in life. To a rock climber, a boulder is called a "problem," and you solve it by climbing to the top. There are twists and turns, falls and scrapes, and obstacles that seem insurmountable until you learn to see the possibilities within them. And then there is the moment of triumph, when there's nothing above you but sky and nothing below but a goal achieved. Ashima Shiraishi draws on her experience as a world-class climber in this story that challenges readers to tackle the problems in their own lives and rise to greater heights than they would have ever thought possible.
This workbook bridges the gap between lectures and practical applications, offering students of mathematics, engineering, and physics the chance to practice solving problems from a wide variety of fields. 2011 edition.
Wall Street Journal Bestseller New York Times bestselling author Dan Heath explores how to prevent problems before they happen, drawing on insights from hundreds of interviews with unconventional problem solvers. So often in life, we get stuck in a cycle of response. We put out fires. We deal with emergencies. We stay downstream, handling one problem after another, but we never make our way upstream to fix the systems that caused the problems. Cops chase robbers, doctors treat patients with chronic illnesses, and call-center reps address customer complaints. But many crimes, chronic illnesses, and customer complaints are preventable. So why do our efforts skew so heavily toward reaction rather than prevention? Upstream probes the psychological forces that push us downstream—including “problem blindness,” which can leave us oblivious to serious problems in our midst. And Heath introduces us to the thinkers who have overcome these obstacles and scored massive victories by switching to an upstream mindset. One online travel website prevented twenty million customer service calls every year by making some simple tweaks to its booking system. A major urban school district cut its dropout rate in half after it figured out that it could predict which students would drop out—as early as the ninth grade. A European nation almost eliminated teenage alcohol and drug abuse by deliberately changing the nation’s culture. And one EMS system accelerated the emergency-response time of its ambulances by using data to predict where 911 calls would emerge—and forward-deploying its ambulances to stand by in those areas. Upstream delivers practical solutions for preventing problems rather than reacting to them. How many problems in our lives and in society are we tolerating simply because we’ve forgotten that we can fix them?
Examples help explain the seven basic mathematical problem-solving methods, including inference, classification of action sequences, working backward, and contradiction
Solving word problems has never been easier than with Schaum's How to Solve Word Problems in Algebra! This popular study guide shows students easy ways to solve what they struggle with most in algebra: word problems. How to Solve Word Problems in Algebra, Second Edition, is ideal for anyone who wants to master these skills. Completely updated, with contemporary language and examples, features solution methods that are easy to learn and remember, plus a self-test.
Seven problem-solving techniques include inference, classification of action sequences, subgoals, contradiction, working backward, relations between problems, and mathematical representation. Also, problems from mathematics, science, and engineering with complete solutions.
Problems block and slow down your progress; here’s how to overcome them–simply, efficiently and effectively. This book offers straightforward, empowering science-based solutions to problems, big and small, at work or in life. It takes a never before seen approach to problem solving, powerfully combining lessons from cognitive science, established problem-solving theory and vast practical experience. It includes a radical new approach to analysing problems: The Problem Matrix. This will transform your approach to problems, challenge your thinking and help you develop new, positive, solution-focussed mindsets for the long-term.
"The author makes a compelling case that we often start solving a problem before thinking deeply about whether we are solving the right problem. If you want the superpower of solving better problems, read this book." -- Eric Schmidt, former CEO, Google Are you solving the right problems? Have you or your colleagues ever worked hard on something, only to find out you were focusing on the wrong problem entirely? Most people have. In a survey, 85 percent of companies said they often struggle to solve the right problems. The consequences are severe: Leaders fight the wrong strategic battles. Teams spend their energy on low-impact work. Startups build products that nobody wants. Organizations implement "solutions" that somehow make things worse, not better. Everywhere you look, the waste is staggering. As Peter Drucker pointed out, there's nothing more dangerous than the right answer to the wrong question. There is a way to do better. The key is reframing, a crucial, underutilized skill that you can master with the help of this book. Using real-world stories and unforgettable examples like "the slow elevator problem," author Thomas Wedell-Wedellsborg offers a simple, three-step method - Frame, Reframe, Move Forward - that anyone can use to start solving the right problems. Reframing is not difficult to learn. It can be used on everyday challenges and on the biggest, trickiest problems you face. In this visually engaging, deeply researched book, you’ll learn from leaders at large companies, from entrepreneurs, consultants, nonprofit leaders, and many other breakthrough thinkers. It's time for everyone to stop barking up the wrong trees. Teach yourself and your team to reframe, and growth and success will follow.