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Author: Terence Tao Publisher: American Mathematical Soc. ISBN: 1470466406 Category : Education Languages : en Pages : 206
Book Description
This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Carathéodory extension theorem. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory. The material is intended to cover a quarter or semester's worth of material for a first graduate course in real analysis. There is an emphasis in the text on tying together the abstract and the concrete sides of the subject, using the latter to illustrate and motivate the former. The central role of key principles (such as Littlewood's three principles) as providing guiding intuition to the subject is also emphasized. There are a large number of exercises throughout that develop key aspects of the theory, and are thus an integral component of the text. As a supplementary section, a discussion of general problem-solving strategies in analysis is also given. The last three sections discuss optional topics related to the main matter of the book.
Author: Terence Tao Publisher: American Mathematical Soc. ISBN: 1470466406 Category : Education Languages : en Pages : 206
Book Description
This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Carathéodory extension theorem. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory. The material is intended to cover a quarter or semester's worth of material for a first graduate course in real analysis. There is an emphasis in the text on tying together the abstract and the concrete sides of the subject, using the latter to illustrate and motivate the former. The central role of key principles (such as Littlewood's three principles) as providing guiding intuition to the subject is also emphasized. There are a large number of exercises throughout that develop key aspects of the theory, and are thus an integral component of the text. As a supplementary section, a discussion of general problem-solving strategies in analysis is also given. The last three sections discuss optional topics related to the main matter of the book.
Author: Jesse Yoder Publisher: International Society of Automation ISBN: 9780876640913 Category : Languages : en Pages : 226
Book Description
This book deals with the past, present, and future of flow, sensors, and measurement. It is called The Tao of Measurement because, like the Tao itself, it reveals the underlying principles of flow and measurement. It explains the engineering and physics of flow and sensors, how our units of measurement were derived, present day measurement practices, and how today's scientific tools can improve our units of measurement. It's a must-read for anyone involved in instrumentation or process control. The book's opening chapters explore the technologies of temperature, pressure, and flow measurement. The authors reveal the history of units of measurement and describe how they came to be used today. The book then presents a thorough discussion of the different types of temperature sensors, pressure transmitters, and flowmeters. It contains an explanation of applications, and then comments on trends in sensors and measurement. Each chapter includes a handy glossary of units of measurement. The authors then turn their attention to three very familiar but vital subjects: time, length and area. They trace the origins of today's units of measurement for these variables, all the way back to Greek and Roman times, then follow their development to today's atomic clocks and the standard meter, now defined in terms of wavelengths of light. This book describes how modern technology can be used to improve units of measurement. It paints a picture of a dynamic and changing universe, one in which systems can be integrated with improved measurement practices. It looks beyond the static nature of everyday objects to an underlying reality that is dynamic and changing. It describes the technologies that are available to effectively configure a cost-effective system, and then shows how to integrate this system with the most powerful sensors and tools of flow measurement. Systems and instrumentation, the yin and yang of the automation world, are finally united in a synthesis that comes from seeing both from a single perspective. The Tao of measurement is revealed, and in the end, it is all about flow. Each section of the book can be used as a standalone handbook or as a readable engineering manual. Questions? Comments? Feel free to contact Dr. Jesse Yoder at [email protected] or Dick Morley at [email protected]. The Tao of Measurement is a revolutionary look at our traditional concepts of flow, time, points, and circles. Our technology has evolved very rapidly, but it has done so using concepts older than Roman chariot wheels. It is time for a fresh look, and this book provides it. --Dr. Jesse Yoder
Author: Dana K. Keller Publisher: SAGE Publications ISBN: 1483377938 Category : Social Science Languages : en Pages : 98
Book Description
This Second Edition of The Tao of Statistics: A Path to Understanding (With No Math) provides a reader-friendly approach to statistics in plain English. Unlike other statistics books, this text explains what statistics mean and how they are used, rather than how to calculate them. The book walks readers through basic concepts as well as some of the most complex statistical models in use. The Second Edition adds coverage of big data to better address its impact on p-values and other key concepts; material on small data to show readers how to handle data with fewer data points than optimal; and other new topics like missing data and effect sizes. The book’s two characters (a high school principal and a director of public health) return in the revised edition, with their examples expanded and updated with reference to contemporary concerns in the fields of education and health.
Author: Richard Rodger Publisher: Simon and Schuster ISBN: 1638351732 Category : Computers Languages : en Pages : 520
Book Description
Summary The Tao of Microservices guides you on the path to understanding how to apply microservice architectures to your own real-world projects. This high-level book offers a conceptual view of microservice design, along with core concepts and their application. Purchase of the print book includes a free eBook in PDF, Kindle, and ePub formats from Manning Publications. About the Technology An application, even a complex one, can be designed as a system of independent components, each of which handles a single responsibility. Individual microservices are easy for small teams without extensive knowledge of the entire system design to build and maintain. Microservice applications rely on modern patterns like asynchronous, message-based communication, and they can be optimized to work well in cloud and container-centric environments. About the Book The Tao of Microservices guides you on the path to understanding and building microservices. Based on the invaluable experience of microservices guru Richard Rodger, this book exposes the thinking behind microservice designs. You'll master individual concepts like asynchronous messaging, service APIs, and encapsulation as you learn to apply microservices architecture to real-world projects. Along the way, you'll dig deep into detailed case studies with source code and documentation and explore best practices for team development, planning for change, and tool choice. What's Inside Principles of the microservice architecture Breaking down real-world case studies Implementing large-scale systems When not to use microservices About the Reader This book is for developers and architects. Examples use JavaScript and Node.js. About the Author Richard Rodger, CEO of voxgig, a social network for the events industry, has many years of experience building microservice-based systems for major global companies. Table of Contents PART 1 - BUILDING MICROSERVICES Brave new world Services Messages Data Deployment PART 2 - RUNNING MICROSERVICES Measurement Migration People Case study: Nodezoo.com
Author: Dana K. Keller Publisher: SAGE Publications ISBN: 1412964687 Category : Social Science Languages : en Pages : 161
Book Description
Dana Keller's informal presentation style brings about an understanding of research without the stress normally associated with the subject.
Author: Catherine McTamaney Ed.D. Publisher: iUniverse ISBN: 0595865445 Category : Education Languages : en Pages : 175
Book Description
"If, like some, you regret that Montessori too rarely in her writings appreciated the humanity of teachers-their creativity, their curiosity, their doubts-this book stands as the perfect complement."-Jola-Montessori.com Evocative and unique, The Tao of Montessori offers a quiet balance to the noisy demands of teaching and parenting through a special blend of encouraging verse. Award-winning Montessori teacher Catherine McTamaney revisits the eighty-one verses of Lao-tzu's Tao Te Ching and relates them to the life and work of teachers, parents, and children. Originally meant to remind rather than direct and to show the way toward natural harmony in the world around and within us, Lao-tzu's verses find a new meaning through McTamaney's skillful mixture of spirituality and education. Take a moment to read a single stanza, then put it aside and muse upon its meaning. By revisiting one verse each day, you can relate its images to your life as a teacher, parent, or child. Whether you are familiar with the writings of Lao-tzu or are simply ready to explore a refreshingly contemplative perspective on children and teachers, The Tao of Montessori is a profound work of intellectual stimulation.
Author: Sheldon Axler Publisher: Springer Nature ISBN: 3030331431 Category : Mathematics Languages : en Pages : 430
Book Description
This open access textbook welcomes students into the fundamental theory of measure, integration, and real analysis. Focusing on an accessible approach, Axler lays the foundations for further study by promoting a deep understanding of key results. Content is carefully curated to suit a single course, or two-semester sequence of courses, creating a versatile entry point for graduate studies in all areas of pure and applied mathematics. Motivated by a brief review of Riemann integration and its deficiencies, the text begins by immersing students in the concepts of measure and integration. Lebesgue measure and abstract measures are developed together, with each providing key insight into the main ideas of the other approach. Lebesgue integration links into results such as the Lebesgue Differentiation Theorem. The development of products of abstract measures leads to Lebesgue measure on Rn. Chapters on Banach spaces, Lp spaces, and Hilbert spaces showcase major results such as the Hahn–Banach Theorem, Hölder’s Inequality, and the Riesz Representation Theorem. An in-depth study of linear maps on Hilbert spaces culminates in the Spectral Theorem and Singular Value Decomposition for compact operators, with an optional interlude in real and complex measures. Building on the Hilbert space material, a chapter on Fourier analysis provides an invaluable introduction to Fourier series and the Fourier transform. The final chapter offers a taste of probability. Extensively class tested at multiple universities and written by an award-winning mathematical expositor, Measure, Integration & Real Analysis is an ideal resource for students at the start of their journey into graduate mathematics. A prerequisite of elementary undergraduate real analysis is assumed; students and instructors looking to reinforce these ideas will appreciate the electronic Supplement for Measure, Integration & Real Analysis that is freely available online. For errata and updates, visit https://measure.axler.net/
Author: Terence Tao
Author: Terence Tao
Author: Jesse Yoder
Author: Dana K. Keller
Author: 
Author: Richard Rodger
Author: Dana K. Keller
Author: Catherine McTamaney Ed.D.
Author: Stephen Thomas Chang
Author: Ting He
Author: Sheldon Axler