American Empower A2 Elementary Student's Book with eBook [With eBook] (1版)

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【簡介】 ■學生課本附電子書(拆封不退) ■CEFR Level: A2 ■適用程度: Elementary ■線上電子書平台網址：cambridgeone.org  ★購買提示 　　學生課本不含解答，如需解答者請購買教師手冊(9781108797191) 　　課堂使用或自修者建議搭配購買作業本(9781108817554) 　　American Empower is a six-level general English course for adult and young adults. The Elementary Student's Book with eBook gives learners an immediate sense of purpose and clear learning objectives. It provides core grammar and vocabulary input alongside a mix of skills. Speaking lessons offer a unique combination of functional language, pronunciation and conversation skills. Each unit ends with a consolidation of core language from the unit and focuses on writing within the context of a highly communicative mixed-skills lesson. This version of the Student's Book comes with access to an eBook (with audio) available on the Cambridge One platform.

Elementary Quantum Mechanics: With Problems and Solutions (1版)

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【簡介】 The impact of quantum mechanics on our day-to-day life is growing at an exponential rate, of which most people are unaware. For example, the toaster is a prime example of a quantum mechanical device. While quantum mechanics arose as a subject in physics, quantum mechanical thinking has had, and continues to have, a broad impact on mathematics. For example, operator theory as we know it today would not exist without von Neumann’s effort to put quantum mechanics on a solid mathematical foundation. This book is defined for undergraduate students of mathematics to obtain an introduction to quantum mechanical ideas, and the associated mathematics, without requiring an extensive background in physics.This book is focused around the following topics. 1) The Mathematical Structure of Quantum Mechanics. We develop the main mathematical structure of quantum theory in the setting of the accepted postulates of quantum mechanics. Dirac’s bra-ket notation for the required linear algebra aspects will be utilized, as well as the mathematical and physical implications arising from the mathematical aspects of self-adjoint linear operators, with emphasis on the finite dimensional setting. 2) Dynamics of a Quantum Particle. We introduce the Schrodinger equation and discuss its physical meaning and mathematical structure. The required partial differential equations theory is elementary, and will be developed from scratch. 3) Measurement, Time Evolution, Uncertainty, and the Harmonic Oscillator. This builds on the previously developed mathematics and culminates with a detailed discussion of the quantum mechanical workhorse example - the harmonic oscillator. 4) Quantum Mechanics of Angular Momentum. Most of the book is developed in the context of the (relatively) simple one dimensional quantum systems. This topic goes into three dimensions and illustrates how very interesting mathematics can yield novel physical explanations that are unobtainable with classical methods. 5) The Postulates of Quantum Mechanics, Measurement, Composite Systems, Tensor Products, and Entanglement. This is the area that most students have heard of - quantum entanglement, ＂action-at-a- distance＂ and Bell’s inequality. The mathematics will be at an elementary level (except possibly for tensor products, which are sadly neglected many linear algebra courses today, but which are literally exploding in a variety of current applications).