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Analyses Lagrange multiplier theory and demonstrates its impact on the development of numerical algorithms for variational problems in function spaces.
Are you a genius or a genius maker? We've all had experience with two dramatically different types of leaders. The first type drain intelligence, energy, and capability from the ones around them and always need to be the smartest ones in the room. These are the idea killers, the energy sappers, the diminishers of talent and commitment. On the other side of the spectrum are leaders who use their intelligence to amplify the smarts and capabilities of the people around them. When these leaders walk into a room, lightbulbs go off over people's heads, ideas flow, and problems get solved. These are the leaders who inspire employees to stretch themselves to deliver results that surpass expectations. These are the Multipliers. And the world needs more of them, especially now, when leaders are expected to do more with less. In this engaging and highly practical book, leadership expert Liz Wiseman and management consultant Greg McKeown explore these two leadership styles, persuasively showing how Multipliers can have a resoundingly positive and profitable effect on organizations—getting more done with fewer resources, developing and attracting talent, and cultivating new ideas and energy to drive organizational change and innovation. In analyzing data from more than 150 leaders, Wiseman and McKeown have identified five disciplines that distinguish Multipliers from Diminishers. These five disciplines are not based on innate talent; indeed, they are skills and practices that everyone can learn to use—even lifelong and recalcitrant Diminishers. Lively, real-world case studies and practical tips and techniques bring to life each of these principles, showing you how to become a Multiplier too, whether you are a new or an experienced manager. Just imagine what you could accomplish if you could harness all the energy and intelligence around you. Multipliers will show you how.
When you become a Multiplier, your whole team succeeds! Why do some leaders double their team’s effectiveness, while others seem to drain the energy right out of the room? Using insights gained from more than 100 interviews with school leaders, this book pinpoints the five disciplines that define how Multipliers bring out the best across their schools. By practicing these disciplines, you’ll learn how to: Attract top teachers to your school Create an intense environment that demands people’s best thinking Drive sound decisions by constructing debate and decision-making forums Give your team a sense of ownership for responsibilities and results
When I first considered writing a book about multipliers, it was my intention to produce a moderate sized monograph which covered the theory as a whole and which would be accessible and readable to anyone with a basic knowledge of functional and harmonic analysis. I soon realized, however, that such a goal could not be attained. This realization is apparent in the preface to the preliminary version of the present work which was published in the Springer Lecture Notes in Mathematics, Volume 105, and is even more acute now, after the revision, expansion and emendation of that manuscript needed to produce the present volume. Consequently, as before, the treatment given in the following pages is eclectric rather than definitive. The choice and presentation of the topics is certainly not unique, and reflects both my personal preferences and inadequacies, as well as the necessity of restricting the book to a reasonable size. Throughout I have given special emphasis to the func tional analytic aspects of the characterization problem for multipliers, and have, generally, only presented the commutative version of the theory. I have also, hopefully, provided too many details for the reader rather than too few.
In this book, Erik M. Francis explores how one of the most fundamental instructional strategies—questioning—can provide the proper scaffolding to deepen student thinking, understanding, and application of knowledge. You’ll learn: *Techniques for using questioning to extend and evaluate student learning experiences. *Eight different kinds of questions that challenge students to demonstrate higher-order thinking and communicate depth of knowledge. *How to rephrase the performance objectives of college and career readiness standards into questions that engage and challenge students. Francis offers myriad examples of good questions across content areas and grade levels, as well as structures to help teachers create and use the different kinds of questions. By using this book to fine-tune your approach to questioning, you can awaken the spirit of inquiry in your classroom and help students deepen their knowledge, understanding, and ability to communicate what they think and know.
This contemporary graduate-level text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.
When you become a Multiplier, your whole team succeeds! Why are some leaders able to double their team’s effectiveness, while others seem to drain the energy right out of the room? Using insights gained from more than 100 interviews with school leaders, The Multiplier Effect pinpoints the five disciplines that define how Multipliers bring out the best across their schools. By practicing these disciplines, you’ll learn how to Attract top teachers to your school Create an intense environment that demands people’s best thinking Drive sound decisions by constructing debate and decision-making forums Give your team a sense of ownership for responsibilities and results As an educator, you already inspire students to rise to challenges, trust their own smarts, and believe in their own success. As a Multiplier, you’ll do the same for your colleagues—and provide staff and students the opportunity to achieve at unprecedented levels. "Everyone′s heard about legendary educators who turn struggling schools around. Is it the force of their personality? Sheer genius? Or does the secret of their success lie in their ability to unleash the genius in the people around them? The Multiplier Effect suggests that by changing the way you lead, you can amplify the intelligence, talent, and passion of your fellow teachers and together conquer the challenges today′s school face. This is sure to be an energizing book for teachers and administrators at all levels of education." —Daniel Pink, Author of Drive and To Sell is Human "A fascinating book that shows how mindsets shape the way people lead. This book will forever change the way we think about leadership in our schools and the mindsets we need to tackle our biggest educational challenges." —Carol Dweck, Lewis and Virginia Eaton Professor of Psychology, Stanford University Author of Mindset: The New Psychology of Success
Tracing a path from the earliest beginnings of Fourier series through to the latest research A Panorama of Harmonic Analysis discusses Fourier series of one and several variables, the Fourier transform, spherical harmonics, fractional integrals, and singular integrals on Euclidean space. The climax is a consideration of ideas from the point of view of spaces of homogeneous type, which culminates in a discussion of wavelets. This book is intended for graduate students and advanced undergraduates, and mathematicians of whatever background who want a clear and concise overview of the subject of commutative harmonic analysis.