Functional Equations and How to Solve Them PDF Download
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Author: Christopher G. Small
Publisher: Springer Science & Business Media
ISBN: 0387489010
Category : Mathematics
Languages : en
Pages : 139
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Book Description
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.
Author: Christopher G. Small
Publisher: Springer Science & Business Media
ISBN: 0387489010
Category : Mathematics
Languages : en
Pages : 139
Get Book Here
Book Description
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.
Author: Dan Heath
Publisher: Simon and Schuster
ISBN: 1982134747
Category : Business & Economics
Languages : en
Pages : 320
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Book Description
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?
Author: Charles H. Kepner
Publisher: Dog Ear Publishing
ISBN: 1457513544
Category : Computers
Languages : en
Pages : 118
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Book Description
The IT professional is constantly struggling with information overload when addressing Incident and Problem Management situations. They need an approach that would dispense with all the different dimensions and layers of data and information to reveal the true nature of the incident or problem as early as possible. What the incident & problem investigators need is a structured, systematic thinking process that helps them to discover the information that is relevant and remove the irrelevant information. Imagine having access to a process that would deliver the correct starting point and provide you only the relevant information first time every time? Even better, imagine having a structured set of 18 questions that would identify what information is missing and therefore the reason why the cause has not been identified yet. When the investigator trusts the process he or she will have a more direct approach. “You either know the answer to the question or you need to get someone to go and get that specific information!” “RESOLVE IT” is a book that will provide you with the structure, process and questions on how to approach any incident situation and will increase your success and confidence levels beyond all expectations!
Author: Loren C. Larson
Publisher: Springer Science & Business Media
ISBN: 1461254981
Category : Mathematics
Languages : en
Pages : 322
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Book Description
This is a practical anthology of some of the best elementary problems in different branches of mathematics. Arranged by subject, the problems highlight the most common problem-solving techniques encountered in undergraduate mathematics. This book teaches the important principles and broad strategies for coping with the experience of solving problems. It has been found very helpful for students preparing for the Putnam exam.
Author: Wayne A. Wickelgren
Publisher: W.H. Freeman
ISBN: 9780716708452
Category : Mathematics
Languages : en
Pages : 262
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Book Description
Examples help explain the seven basic mathematical problem-solving methods, including inference, classification of action sequences, working backward, and contradiction
Author: Arthur Engel
Publisher: Springer Science & Business Media
ISBN: 0387226419
Category : Mathematics
Languages : en
Pages : 404
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Book Description
A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.
Author: Danny Warshay
Publisher: St. Martin's Press
ISBN: 1250272327
Category : Business & Economics
Languages : en
Pages : 304
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Book Description
Inspired by Brown University’s beloved course—The Entrepreneurial Process—Danny Warshay’s See, Solve, Scale is a proven and paradigm-shifting method to unlocking the power of entrepreneurship. The Entrepreneurial Process, one of Brown University’s highest-rated courses, has empowered thousands of students to start their own ventures. You might assume these ventures started because the founders were born entrepreneurs. You might assume that these folks had technical or finance degrees, or worked at fancy consulting firms, or had some other specialized knowledge. Yet that isn’t the case. Entrepreneurship is not a spirit or a gift. It is a process that anyone can learn, and that anyone can use to turn a problem into a solution with impact. In See, Solve, Scale, Danny Warshay, the creator of the Entrepreneurial Process course and founding Executive Director of Brown’s Center for Entrepreneurship, shares the same set of tools with aspiring entrepreneurs around the world. He overturns the common misconception that entrepreneurship is a hard-wired trait or the sole province of high-flying MBAs, and provides a proven method to identify consequential problems and an accessible process anyone can learn, master, and apply to solve them. Combining real-world experience backed by surprising research-based insights, See, Solve, Scale guides the reader through forming a successful startup team and through the three steps of the process: find and validate a problem, develop an initial small-scale solution, and scale a long-term solution. It also details eleven common errors of judgment that entrepreneurs make when they rely on their intuition and provides instruction for how to avoid them. Leveraging Warshay’s own entrepreneurship successes and his 15 years of experience teaching liberal arts students, See, Solve, Scale debunks common myths about entrepreneurship and empowers everyone, especially those who other entrepreneurship books have ignored and left behind. Its lasting message: Anyone can take a world-changing idea from conception to breakthrough entrepreneurial success.
Author: Ken Watanabe
Publisher: Penguin
ISBN: 1101029188
Category : Business & Economics
Languages : en
Pages : 130
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Book Description
The fun and simple problem-solving guide that took Japan by storm Ken Watanabe originally wrote Problem Solving 101 for Japanese schoolchildren. His goal was to help shift the focus in Japanese education from memorization to critical thinking, by adapting some of the techniques he had learned as an elite McKinsey consultant. He was amazed to discover that adults were hungry for his fun and easy guide to problem solving and decision making. The book became a surprise Japanese bestseller, with more than 370,000 in print after six months. Now American businesspeople can also use it to master some powerful skills. Watanabe uses sample scenarios to illustrate his techniques, which include logic trees and matrixes. A rock band figures out how to drive up concert attendance. An aspiring animator budgets for a new computer purchase. Students decide which high school they will attend. Illustrated with diagrams and quirky drawings, the book is simple enough for a middleschooler to understand but sophisticated enough for business leaders to apply to their most challenging problems.
Author: Wayne A. Wickelgren
Publisher: Courier Corporation
ISBN: 0486152685
Category : Science
Languages : en
Pages : 292
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Book Description
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.
Author: Mo Gawdat
Publisher: Simon and Schuster
ISBN: 1501157590
Category : Self-Help
Languages : en
Pages : 368
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Book Description
In this “powerful personal story woven with a rich analysis of what we all seek” (Sergey Brin, cofounder of Google), Mo Gawdat, Chief Business Officer at Google’s [X], applies his superior logic and problem solving skills to understand how the brain processes joy and sadness—and then he solves for happy. In 2001 Mo Gawdat realized that despite his incredible success, he was desperately unhappy. A lifelong learner, he attacked the problem as an engineer would: examining all the provable facts and scrupulously applying logic. Eventually, his countless hours of research and science proved successful, and he discovered the equation for permanent happiness. Thirteen years later, Mo’s algorithm would be put to the ultimate test. After the sudden death of his son, Ali, Mo and his family turned to his equation—and it saved them from despair. In dealing with the horrible loss, Mo found his mission: he would pull off the type of “moonshot” goal that he and his colleagues were always aiming for—he would share his equation with the world and help as many people as possible become happier. In Solve for Happy Mo questions some of the most fundamental aspects of our existence, shares the underlying reasons for suffering, and plots out a step-by-step process for achieving lifelong happiness and enduring contentment. He shows us how to view life through a clear lens, teaching us how to dispel the illusions that cloud our thinking; overcome the brain’s blind spots; and embrace five ultimate truths. No matter what obstacles we face, what burdens we bear, what trials we’ve experienced, we can all be content with our present situation and optimistic about the future.
