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Author: Alexander A. Roytvarf
Publisher: Springer Science & Business Media
ISBN: 0817684069
Category : Mathematics
Languages : en
Pages : 434
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Book Description
This concise, self-contained textbook gives an in-depth look at problem-solving from a mathematician’s point-of-view. Each chapter builds off the previous one, while introducing a variety of methods that could be used when approaching any given problem. Creative thinking is the key to solving mathematical problems, and this book outlines the tools necessary to improve the reader’s technique. The text is divided into twelve chapters, each providing corresponding hints, explanations, and finalization of solutions for the problems in the given chapter. For the reader’s convenience, each exercise is marked with the required background level. This book implements a variety of strategies that can be used to solve mathematical problems in fields such as analysis, calculus, linear and multilinear algebra and combinatorics. It includes applications to mathematical physics, geometry, and other branches of mathematics. Also provided within the text are real-life problems in engineering and technology. Thinking in Problems is intended for advanced undergraduate and graduate students in the classroom or as a self-study guide. Prerequisites include linear algebra and analysis.
Author: Alexander A. Roytvarf
Publisher: Springer Science & Business Media
ISBN: 0817684069
Category : Mathematics
Languages : en
Pages : 434
Get Book Here
Book Description
This concise, self-contained textbook gives an in-depth look at problem-solving from a mathematician’s point-of-view. Each chapter builds off the previous one, while introducing a variety of methods that could be used when approaching any given problem. Creative thinking is the key to solving mathematical problems, and this book outlines the tools necessary to improve the reader’s technique. The text is divided into twelve chapters, each providing corresponding hints, explanations, and finalization of solutions for the problems in the given chapter. For the reader’s convenience, each exercise is marked with the required background level. This book implements a variety of strategies that can be used to solve mathematical problems in fields such as analysis, calculus, linear and multilinear algebra and combinatorics. It includes applications to mathematical physics, geometry, and other branches of mathematics. Also provided within the text are real-life problems in engineering and technology. Thinking in Problems is intended for advanced undergraduate and graduate students in the classroom or as a self-study guide. Prerequisites include linear algebra and analysis.
Author: Robert J. Sternberg
Publisher: Elsevier
ISBN: 9780126672602
Category : Education
Languages : en
Pages : 488
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Book Description
Thinking and Problem-Solving presents a comprehensive and up-to-date review of literature on cognition, reasoning, intelligence, and other formative areas specific to this field. Written for advanced undergraduates, researchers, and academics, this volume is a necessary reference for beginning and established investigators in cognitive and educational psychology. Thinking and Problem-Solving provides insight into questions such as: how do people solve complex problems in mathematics and everyday life? How do we generate new ideas? How do we piece together clues to solve a mystery, categorize novel events, and teach others to do the same? Provides a comprehensive literature review Covers both historical and contemporary approaches Organized for ease of use and reference Chapters authored by leading scholars
Author: Arnaud Chevallier
Publisher: Oxford University Press
ISBN: 0190463929
Category : Business & Economics
Languages : en
Pages : 288
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Book Description
Whether you are a student or a working professional, you can benefit from being better at solving the complex problems that come up in your life. Strategic Thinking in Complex Problem Solving provides a general framework and the necessary tools to help you do so. Based on his groundbreaking course at Rice University, engineer and former strategy consultant Arnaud Chevallier provides practical ways to develop problem solving skills, such as investigating complex questions with issue maps, using logic to promote creativity, leveraging analogical thinking to approach unfamiliar problems, and managing diverse groups to foster innovation. This book breaks down the resolution process into four steps: 1) frame the problem (identifying what needs to be done), 2) diagnose it (identifying why there is a problem, or why it hasn't been solved yet), 3) identify and select potential solutions (identifying how to solve the problem), and 4) implement and monitor the solution (resolving the problem, the 'do'). For each of these four steps - the what, why, how, and do - this book explains techniques that promotes success and demonstrates how to apply them on a case study and in additional examples. The featured case study guides you through the resolution process, illustrates how these concepts apply, and creates a concrete image to facilitate recollection. Strategic Thinking in Complex Problem Solving is a tool kit that integrates knowledge based on both theoretical and empirical evidence from many disciplines, and explains it in accessible terms. As the book guides you through the various stages of solving complex problems, it also provides useful templates so that you can easily apply these approaches to your own personal projects. With this book, you don't just learn about problem solving, but how to actually do it.
Author: Jordan Ellenberg
Publisher: Penguin
ISBN: 0143127535
Category : Mathematics
Languages : en
Pages : 482
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Book Description
“Witty, compelling, and just plain fun to read . . ." —Evelyn Lamb, Scientific American The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it. Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer? How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God. Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.
Author: John Boardman
Publisher: CRC Press
ISBN: 1420054929
Category : Business & Economics
Languages : en
Pages : 242
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Book Description
By examining the links and interactions between elements of a system, systems thinking is becoming increasingly relevant when dealing with global challenges, from terrorism to energy to healthcare. Addressing these seemingly intractable systems problems in our society, Systems Thinking: Coping with 21st Century Problems focuses on the inhere
Author: Richard Hall
Publisher: Pearson UK
ISBN: 1292064056
Category : Business & Economics
Languages : en
Pages : 241
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Book Description
Business thinking skills that really work Better creative thinking leads to brilliant decision making and successful, innovative solutions to business problems. Using the proven practical skills, techniques and advice in this book, you will learn how to think better, faster and more productively, enabling you to shape, train and inspire your thinking to deliver more effective results. Improve your critical analysis and thinking skills Become confident in making better and more creative decisions Become faster and more effective at problem solving This book will enable you to become a calm, logical and well-argued decision maker with the ability to deliver better solutions and outstanding results. The full text downloaded to your computer With eBooks you can: search for key concepts, words and phrases make highlights and notes as you study share your notes with friends eBooks are downloaded to your computer and accessible either offline through the Bookshelf (available as a free download), available online and also via the iPad and Android apps. Upon purchase, you'll gain instant access to this eBook. Time limit The eBooks products do not have an expiry date. You will continue to access your digital ebook products whilst you have your Bookshelf installed.
Author: Jeanne Liedtka
Publisher: Columbia University Press
ISBN: 0231163568
Category : Business & Economics
Languages : en
Pages : 234
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Book Description
Design-oriented firms such as Apple and IDEO have demonstrated how design thinking can directly affect business results. Yet most managers lack a real sense of how to put this new approach to use for issues other than product development and sales growth. Solving Problems with Design Thinking details ten real-world examples of managers who successfully applied design methods at 3M, Toyota, IBM, Intuit, and SAP; entrepreneurial start-ups such as MeYou Health; and government and social sector organizations including the City of Dublin and Denmark’s The Good Kitchen. Using design skills such as ethnography, visualization, storytelling, and experimentation, these managers produced innovative solutions to problems concerning strategy implementation, sales force support, internal process redesign, feeding the elderly, engaging citizens, and the trade show experience. Here they elaborate on the challenges they faced and the processes and tools they used, offering their personal perspectives and providing a clear path to implementation based on the principles and practices laid out in Jeanne Liedtka and Tim Ogilvie’s Designing for Growth: A Design Thinking Tool Kit for Managers.
Author: Jeanne Liedtka
Publisher: Columbia University Press
ISBN: 0231536054
Category : Business & Economics
Languages : en
Pages : 233
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Book Description
Design-oriented firms such as Apple and IDEO have demonstrated how design thinking can affect business results. However, most managers lack a sense of how to use this new approach for issues other than product development and sales growth. Solving Problems with Design Thinking details ten real-world examples of managers who successfully applied design methods at 3M, Toyota, IBM, Intuit, and SAP; entrepreneurial start-ups such as MeYou Health; and government and social sector organizations, including the City of Dublin and Denmark's The Good Kitchen. Using design skills such as ethnography, visualization, storytelling, and experimentation, these managers produced innovative solutions to such problems as implementing strategy, supporting a sales force, redesigning internal processes, feeding the elderly, and engaging citizens. They elaborate on the challenges they faced and the processes and tools they used, providing a clear path to implementation based on the principles and practices laid out in Jeanne Liedtka and Tim Ogilvie's Designing for Growth: A Design Thinking Tool Kit for Managers.
Author: David Peter Stroh
Publisher: Chelsea Green Publishing
ISBN: 1603585818
Category : Business & Economics
Languages : en
Pages : 266
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Book Description
"David Stroh has produced an elegant and cogent guide to what works. Research with early learners is showing that children are natural systems thinkers. This book will help to resuscitate these intuitive capabilities and strengthen them in the fire of facing our toughest problems."—Peter Senge, author of The Fifth Discipline Concrete guidance on how to incorporate systems thinking in problem solving, decision making, and strategic planning—for everyone! Donors, leaders of nonprofits, and public policy makers usually have the best of intentions to serve society and improve social conditions. But often their solutions fall far short of what they want to accomplish and what is truly needed. Moreover, the answers they propose and fund often produce the opposite of what they want over time. We end up with temporary shelters that increase homelessness, drug busts that increase drug-related crime, or food aid that increases starvation. How do these unintended consequences come about and how can we avoid them? By applying conventional thinking to complex social problems, we often perpetuate the very problems we try so hard to solve, but it is possible to think differently, and get different results. Systems Thinking for Social Change enables readers to contribute more effectively to society by helping them understand what systems thinking is and why it is so important in their work. It also gives concrete guidance on how to incorporate systems thinking in problem solving, decision making, and strategic planning without becoming a technical expert. Systems thinking leader David Stroh walks readers through techniques he has used to help people improve their efforts on complex problems like: ending homelessness improving public health strengthening education designing a system for early childhood development protecting child welfare developing rural economies facilitating the reentry of formerly incarcerated people into society resolving identity-based conflicts and more! The result is a highly readable, effective guide to understanding systems and using that knowledge to get the results you want.
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?
