An Introduction to Microlocal Analysis

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Microlocal analysis provides a powerful, versatile, and modular perspective on the analysis of linear partial differential equations. This text, developed from a first-year graduate course, provides an accessible introduction and develops, from first principles, the core notions and results including pseudodifferential operators, wave front sets, and propagation phenomena. The reader is assumed to have some exposure to functional analysis and the theory of smooth manifolds. With detailed proofs, a wealth of exercises of varying levels of difficulty, and connections to contemporary research in general relativity, the book serves as both a comprehensive textbook for graduate students and a useful reference for researchers.

Introduction to Orthotics: A Clinical Reasoning and Problem-Solving Approach (6版)

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【簡介】 重量：1.07kg 　頁數：517 裝訂：螺旋活頁平裝　開數: 27.6 x 22 cm　印刷：彩色 紙本+全文電子書(Enhanced Digital Version Included) Develop the critical thinking skills you need to choose and fit effective orthoses for patients with injuries and functional deficits. As a combination workbook/textbook,Introduction to Orthotics: A Clinical Reasoning and Problem-Solving Approach, Sixth Edition,uses reader-friendly language to cover the theory, design, fabrication, application, and fitting of orthopedic devices. Ideal for use in the classroom or in the clinical setting, it takes an occupation-based approach and features case studies that promote clinical reasoning and problem-solving skills. This edition also includes a new chapter on 3D printing, updated evidence-based tables, and enhanced content on interventions. NEW! Expanded coverage includes a chapter on 3D printing and the latest content on interventions NEW! Enhanced ebook version, included with every new print purchase, features video clips and an additional e-only chapter, plus digital access to all the text, figures, and references, with the ability to search, customize content, make notes and highlights, and have content read aloud UPDATED! Evidence-based tables put reliable and current information at your fingertips Updated content, references, grading forms and self-evaluation, and case studies provide the most current and up-to-date information you need to prepare to serve their clients’ needs Combined textbook/workbook format makes it easier to develop fundamental skills in the theory, design, and fabrication of orthoses Numerous case studies in each chapter show how concepts relate to real-life clinical practice How-To videos in the enhanced ebook version, included with every new print purchase, let you watch the construction of orthotics again and again to increase your proficiency Integration of patient safety addresses this important aspect of patient care Spiral binding allows the book to lay flat when opened for convenient use while on the job Self-evaluation forms enable you to analyze personal strengths and weaknesses related to new orthotic intervention techniques Review questions and self-quizzes reinforce your comprehension of the material Laboratory exercises test your clinical reasoning and technical skills

Introduction to Emerging Fields in Materials Sustainability (1版)

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【簡介】 This book provides a comprehensive and detailed analysis of the aspects of sustainability for both natural and synthetic materials. It takes on a unique and realistic approach by undertaking assessments of the sustainable use of materials within the context of the business practices associated with the target industries. Hence, other than providing information for researchers and students of sustainable management of materials, this book will also be useful to engineers, designers, end-users, entrepreneurs, bureaucrats and waste management stakeholders of different waste-producing streams. The overarching concept of circular economy for materials sustainability is stressed throughout the book, and a wide array of industries and material types are covered. The intent of this book is not to offer convenient responses for any socio-economic, environmental, or legal aspects on sustainable materials; rather, it will discuss challenges associated with material usage in everyday life and their possible techno-sustainable solutions.

A Problem-Based Introduction to Special and General Relativity

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It is Einstein's Theory of Relativity that braids space and time into a thread from which the fabric of existence is woven; it is Relativity that forces the existence of magnetism, and the Pauli Principle, and the biochemistry of living things. A Newtonian universe would be sterile. There is a fever-dream alienness to Einstein's theory, which offers students a first opportunity to see how profoundly different physical reality is from our familiar (and grossly inaccurate) classical picture. This divergence springs inescapably from a single, simple observation: the speed with which a beam of light travels through empty space is always, always, always 299,792,458 meters per second. It does not matter if the source of light is moving with respect to the measuring apparatus. The speed of light never changes. This book comprises fourteen units spanning Special and General Relativity. If used as a course textbook, the material can serve as the backbone of weekly meetings in which students work together in small groups (closely supervised by the instructor) to solve a number of simple problems, then to discuss the conclusions one can draw from the results. In this way, students will derive for themselves some of the surprising features of our post-classical reality. We will review mathematical techniques as required. Students will be expected to become comfortable using calculus to solve problems as necessary. Completion of each of the four longer problems presented at the end of each unit will require two or three hours. Request Inspection Copy Sample Chapter(s) Preface Unit 1: Special Relativity: Time Dilation and Lorentz Contraction Contents: Special Relativity: Time Dilation and Lorentz Contraction Special Relativity — Non-Simultaneity: The Lorentz Transformations The Origin of the Magnetic Field as a Consequence of Special Relativity Developing the Mathematical Tools of Relativity — Scalars, Four Vectors, Lorentz Tensors, the Metric Tensor, Covariant Notation; "The Ehrenfest Paradox" Doppler Shifts, World Lines, Energy–Momentum Four-Vector Conservation Laws, Relativistic Kinematics, and a Start on Dynamics Massless Particles, Relativistic Dynamics, the Electromagnetic Field An Introduction to General Relativity: Non-Euclidean Geometry, the Metric Tensor, Space-time Curvature The Riemann Curvature Tensor, the Einstein Field Equations, the Schwarzschild and Kerr Metrics, and "Frame Dragging." and Just for Fun, LIGO Motion in Curved Space–Time Fields, Fluids, Line Integrals, and Curl Gradient, Divergence, Surface Integrals, the Divergence Theorem, and Gauss's Law The Maxwell Equations A Covariant Formulation of Electrodynamics Readership: Undergraduate students enrolled in a first course on relativity or an intermediate electrodynamics course; graduate students seeking a practical, geometry-based approach to general relativity; and researchers and practitioners in the fields of particle physics, cosmology, astronomy and astrophysics — both theoreticians and experimentalists.