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Presents information on the general theory of critical sound propagation, which takes into account important nonasymptotic effects. This book discusses the electronic and magnetic structure of pure and doped manganese clusters from density functional theory using generalized gradient approximation for the exchange-correlation energy.

Twenty-five years ago, Gerald Holton's Thematic Origins of Scientific Thought introduced a wide audience to his ideas. Holton argued that from ancient times to the modern period, an astonishing feature of innovative scientific work was its ability to hold, simultaneously, deep and opposite commitments of the most fundamental sort. Over the course of Holton's career, he embraced both the humanities and the sciences. Given this background, it is fitting that the explorations assembled in this volume reflect both individually and collectively Holton's dual roots.

In the opening essay,...

How do composing and decomposing numbers connect with the properties of addition? Focus on the ideas that you need to thoroughly understand in order to teach with confidence. The mathematical content of this book focuses on essential knowledge for teachers about numbers and number systems. It is organised around one big idea and supported by smaller, more specific, interconnected ideas (essential understandings). Gaining this understanding is essential because numbers and numeration are building blocks for other mathematical concepts and for thinking quantitatively about the real-world. ...