The celebrated Parisi solution of the Sherrington-Kirkpatrick model for spin glasses is one of the most important achievements in the field of disordered systems. Over the last three decades, through the efforts of theoretical physicists and mathematicians, the essential aspects of the Parisi solution were clarified and proved mathematically. The core ideas of the theory that emerged are the subject of this book, including the recent solution of the Parisi ultrametricity conjecture and a conceptually simple proof of the Parisi formula for the free energy. The treatment is self-contained and should be accessible to graduate students with a background in probability theory, with no prior knowledge of spin glasses. The methods involved in the analysis of the Sherrington-Kirkpatrick model also serve as a good illustration of such classical topics in probability as the Gaussian interpolation and concentration of measure, Poisson processes, and representation results for exchangeable arrays.

Sherrington amplifies and augments the principles and further demonstrates how they can be put into practice in everyday classrooms.

How does the brain create consciousness? How is it that we have a sense of self; a self that can identify thousands of people, places, objects, words, and musical melodies? While the ultimate challenge--that of transforming electrical impulses in nerve cells into sensations, thoughts, and actions--remains a mystery, there is a great deal that is now known about the way the brain functions. Further, that knowledge is increasing through the use of ever more powerful experimental methods. Sherrington's Loom brings the key information together by blending crucial historical discoveries with more recent findings in the laboratory and neurological clinic. This book is a "must-have" for anyone interested in the history of medicine and science, and who is eager for insights as to how the conscious brain may work.

Tom Sherrington and Oliver Caviglioli present 50 essential teaching techniques, each with five clear and concise illustrations and explanations.

Good behaviour is the beginning of great learning. All children deserve classrooms that are calm, safe spaces where everyone is treated with dignity. Creating that space is one of the most important things a teacher needs to be able to do. But all too often teachers begin their careers with the bare minimum of training – or worse, none. How students behave, socially and academically, dictates whether or not they will succeed or struggle in school. Every child comes to the classroom with different skills, habits, values and expectations of what to do. There’s no point just telling a child to behave; behaviour must be taught. Behaviour is a curriculum. This simple truth is the beginning of creating a classroom culture where everyone flourishes, pupils and staff. Running the Room is the teacher’s guide to behaviour. Practical, evidence informed, and based on the expertise of great teachers from around the world, it addresses the things teachers really need to know to build the classrooms children need. Bursting with strategies, tips and solid advice, it brings together the best of what we know and saves teachers, new or old, from reinventing the wheels of the classroom. It’s the book teachers have been waiting for.