The study of internal gravity waves provides many challenges: they move along interfaces as well as in fully three-dimensional space, at relatively fast temporal and small spatial scales, making them difficult to observe and resolve in weather and climate models. Solving the equations describing their evolution poses various mathematical challenges associated with singular boundary value problems and large amplitude dynamics. This book provides the first comprehensive treatment of the theory for small and large amplitude internal gravity waves. Over 120 schematics, numerical simulations and laboratory images illustrate the theory and mathematical techniques, and 130 exercises enable the reader to apply their understanding of the theory. This is an invaluable single resource for academic researchers and graduate students studying the motion of waves within the atmosphere and ocean, and also mathematicians, physicists and engineers interested in the properties of propagating, growing and breaking waves.
Secondary mathematics teachers working in the Australian education sector are required to plan lessons that engage with students of different genders, cultures and levels of literacy and numeracy. Teaching Secondary Mathematics engages directly with the Australian Curriculum: Mathematics and the Australian Professional Standards for Teachers to help preservice teachers develop lesson plans that resonate with students. This edition has been thoroughly revised and features a new chapter on supporting Aboriginal and Torres Strait Islander students by incorporating Aboriginal and Torres Strait Islander cultures and ways of knowing into lessons. Chapter content is supported by new features including short-answer questions, opportunities for reflection and in-class activities. Further resources, additional activities, and audio and visual recordings of mathematical problems are also available for students on the book's companion website. Teaching Secondary Mathematics is the essential guide for preservice mathematics teachers who want to understand the complex and ever-changing Australian education landscape.
This record of the achievements of pipers during the war of 1914-18 is not intended to be an appeal to emotionalism. It aims at showing that, in spite of the efforts of a very efficient enemy to prevent individual gallantry, in spite of the physical conditions of the modern battlefield, the pipes of war, the oldest instrument in the world, have played an even greater part in the orchestra of battle in this than they have in past campaigns. The piper, be he Highlander, or Lowlander, or Scot from Overseas, has accomplished the impossible—not rarely and under favourable conditions, but almost as a matter of routine; and to him not Scotland only but the British Empire owes more than they have yet appreciated. In doing so he has sacrificed himself; and Scotland—and the world—must face the fact that a large proportion of the men who played the instrument and kept alive the old traditions have completed their self-imposed task. With 500 pipers killed and 600 wounded something must be done to raise a new generation of players; it is a matter of national importance that this should be taken in hand at once, and that the sons of those who have gone should follow in the footsteps of their fathers...
The study of internal gravity waves provides many challenges: they move along interfaces as well as in fully three-dimensional space, at relatively fast temporal and small spatial scales, making them difficult to observe and resolve in weather and climate models. Solving the equations describing their evolution poses various mathematical challenges associated with singular boundary value problems and large amplitude dynamics. This book provides the first comprehensive treatment of the theory for small and large amplitude internal gravity waves. Over 120 schematics, numerical simulations and laboratory images illustrate the theory and mathematical techniques, and 130 exercises enable the reader to apply their understanding of the theory. This is an invaluable single resource for academic researchers and graduate students studying the motion of waves within the atmosphere and ocean, and also mathematicians, physicists and engineers interested in the properties of propagating, growing and breaking waves.
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