MATH INTRO GEN RELATIV (2ND ED) (2版)

類似書籍推薦給您

The book aims to give a mathematical presentation of the theory of general relativity (that is, spacetime-geometry-based gravitation theory) to advanced undergraduate mathematics students. Mathematicians will find spacetime physics presented in the definition-theorem-proof format familiar to them. The given precise mathematical definitions of physical notions help avoiding pitfalls, especially in the context of spacetime physics describing phenomena that are counter-intuitive to everyday experiences. In the first part, the differential geometry of smooth manifolds, which is needed to present the spacetime-based gravitation theory, is developed from scratch. Here, many of the illustrating examples are the Lorentzian manifolds which later serve as spacetime models. This has the twofold purpose of making the physics forthcoming in the second part relatable, and the mathematics learnt in the first part less dry. The book uses the modern coordinate-free language of semi-Riemannian geometry. Nevertheless, to familiarise the reader with the useful tool of coordinates for computations, and to bridge the gap with the physics literature, the link to coordinates is made through exercises, and via frequent remarks on how the two languages are related. In the second part, the focus is on physics, covering essential material of the 20th century spacetime-based view of gravity: energy-momentum tensor field of matter, field equation, spacetime examples, Newtonian approximation, geodesics, tests of the theory, black holes, and cosmological models of the universe. Prior knowledge of differential geometry or physics is not assumed. The book is intended for self-study, and the solutions to all the 283 exercises are included. The second edition corrects errors from the first edition, and includes 60 new exercises, 10 new remarks, 29 new figures, some of which cover auxiliary topics that were omitted in the first edition. Request Inspection Copy Sample Chapter(s) Preface Chapter 1: Smooth manifolds Contents: Smooth Manifolds Tangent and Cotangent Spaces Vector Fields and 1-Form Fields Tensor Fields Lorentzian Manifolds Levi-Civita Connection Parallel Transport Geodesics Curvature Form Fields Integration Minkowski Spacetime Physics Matter Field Equation Black Holes Cosmology Readership: Advanced undergraduate and beginning graduate students in Mathematics and Physics.

Elite Intro: English for Global Business (1版)

類似書籍推薦給您

內容簡介 CEFR Correlation:A2-B1 1 The Share Economy 2 Corporate Social Responsibility 3 The Metaverse 4 Digital Currency 5 Peter Drucker: Father of Management Thinking 6 Social Influencers and Marketing 7 Fintech 8 AI and Design 9 The Biopharma Revolution 10 How Streaming Changed the Entertainment Industry 11 Gaming Industry 12 Virtual Reality Era 作者簡介： Sean Kenny、Eric Sabatino 二位作者均為英語教學專業，數十年來在亞洲地區從事英語教學、測驗檢定相關工作，陸續服務於英語測驗機構、外語教學中心及科技廠商。

Capstone Intro- English for Information and New Technology (1版)

類似書籍推薦給您

內容簡介 CEFR Correlation:A2-B1 1 Big Data 2 Artificial Intelligence 3 Robotics 4 Hackers and Internet Security 5 Problem Solving 6 DNA Testing and Family History 7 Electric Cars 8 Clean Energy 9 3D Printing: Revolutionizing the Medical Industry 10 5G and IoT 11 Wearable Technology 12 Quantum Mechanics 作者簡介： Sean Kenny、Eric Sabatino、Jacalyn Bondar 三位作者均為英語教學專業，數十年來在亞洲地區從事英語教學、測驗檢定相關工作，陸續服務於英語測驗機構、外語教學中心及科技廠商。

Prism Reading Intro Student's Book with Digital Pack (1版)

類似書籍推薦給您

■ 學生課本附線上帳號 (拆封不退) ■CEFR Level: A1 ■適用程度: Beginner ■隨書附線上練習，包含一篇額外閱讀文章及單字文法練習。 ■線上練習平台網址：cambridgeone.org Prism Reading Level Intro has 8 units to develop vocabulary, academic, and critical thinking skills. Students experience topics through fascinating readings in a wide variety of genres and formats to become familiar with material they might face in or outside the classroom. Each book includes a single-use code to access the Digital Pack that includes an eBook with video, Digital Workbook with extra practice to further improve reading, vocabulary, and language development, and one new reading per unit. Self-grading activities in the Digital Workbook help with learner autonomy and allow teachers to spend less time grading and more time teaching.