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.
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Contents: Introduction Algebraic Structures The Natural Numbers The Integers The Real Numbers Introduction to Set Theory The Pigeonhole Principle and the Base 2 Number System Introduction to Group Theory Introduction to Matrix Theory Fibonacci Numbers, Determinants and Eigenvalues The Mathematics Behind Google's Page Rank and a Game of Numbers Bibliography Index Readership: High school students who love mathematics and mathematics teachers. Also good for professors of mathematics and maths education, students in the mathematical sciences and pre-service math teachers.
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【簡介】 ＂Recognizing and Correcting Developing Malocclusions provides an evidence-based approach to early treatment of developing malocclusions, presenting treatment protocols for mixed-dentition patients with various malocclusions and other orthodontic problems. Class I, Class II, and Class III malocclusions are covered extensively, along with eruptive deviations and different malocclusions. The literature is comprehensively reviewed to ensure that the reader thoroughly understands the development, phenotypic characteristics, and etiology of each type of malocclusion. Taking a problem-oriented approach, the authors provide detailed information for each case, develop comprehensive problem lists, and then present evidence-based treatment solutions. This newly revised and updated Second Edition contains comprehensive updates to all chapters and sections, including dental trauma and its consequences and sleep apnea in children. Practical in approach but grounded in the literature, Recognizing and Correcting Developing Malocclusions is equally useful as a patient-side guide for clinicians and as a detailed reference for orthodontic and pediatric specialists and residents＂--
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【簡介】 【目錄】 1. INTRODUCTION. 2. DISCRETE-TIME SIGNALS AND SYSTEMS. 3. THE DISCRETE-TIME FOURIER ANALYSIS. 4. THE z-TRANSFORM. 5. THE DISCRETE FOURIER TRANSFORM. 6. IMPLEMENTATION OF DISCRETE-TIME FILTERS. 7. FIR FILTER DESIGN. 8. IIR FILTER DESIGN. 9. SAMPLING RATE CONVERSION. 10. ROUND-OFF EFFECTS IN DIGITAL FILTERS. 11. APPLICATIONS IN ADAPTIVE FILTERING. 12. APPLICATIONS IN COMMUNICATIONS. *13. RANDOM PROCESSES. *14. LINEAR PREDICTION AND OPTIMUM LINEAR FILTERS. *15. ADAPTIVE FILTERS. ＊Chapter 13-15 are online chapters.
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【簡介】 Overview Learn how to use managerial economics to diagnose and solve business problems with Froeb/McCann/Ward/Shor's MANAGERIAL ECONOMICS: A PROBLEM SOLVING APPROACH, 6E. This breakthrough text, designed specifically for upper-level and M.B.A. students like you, offers a succinct and fast-paced, yet challenging, approach full of invaluable insights. This edition incorporates less math and fewer technical models, graphs and figures than traditional managerial economics texts, while emphasizing the real decisions that today's managers face daily. The authors use models only to help you determine why mistakes are made and how to fix them. The latest economic updates introduce the most recent economic developments and current economic challenges worldwide. You learn how to apply economic theory to even the most formidable business challenges as interactive applications and MindTap digital resources reinforce understanding. Meaningful insights make this learning guide useful now and throughout your business career. 【目錄】 Table of Contents Part I: PROBLEM SOLVING AND DECISION MAKING. 1. Solving Problems with Economics. 2. The One Lesson of Business. 3. Benefits, Costs, and Decisions. 4. Extent (How Much) Decisions. 5. Investment Decisions: Look Ahead and Reason Back. Part II: PRICING, COST, AND PROFITS. 6. Simple Pricing. 7. Economies of Scale and Scope. 8. Understanding Markets and Industry Changes. 9. Market Structure and Long-Run Equilibrium. 10. Strategy: The Quest to Keep Profit from Eroding. 11. Foreign Exchange, Trade, and Bubbles. Part III: PRICING FOR GREATER PROFIT. 12. More Realistic and Complex Pricing. 13. Direct Price Discrimination. 14. Indirect Price Discrimination. Part IV: STRATEGIC DECISION MAKING. 15. Strategic Games. 16. Bargaining. Part V: UNCERTAINTY. 17. Making Decisions with Uncertainty. 18. Auctions. 19. The Problem of Adverse Selection. 20. The Problem of Moral Hazard. Part VI: ORGANIZATIONAL DESIGN. 21. Getting Employees to Work in the Firm's Best Interest. 22. Getting Divisions to Work in the Firm's Best Interest. 23. Managing Vertical Relationships. Part VII: WRAPPING UP. 24. Test Yourself.
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