Our Subjects and Objectives. This book is about algebraic and symbolic computation and numerical computing (with matrices and polynomials). It greatly extends the study of these topics presented in the celebrated books of the seventies, [AHU] and [BM] (these topics have been under-represented in [CLR], which is a highly successful extension and updating of [AHU] otherwise). Compared to [AHU] and [BM] our volume adds extensive material on parallel com putations with general matrices and polynomials, on the bit-complexity of arithmetic computations (including some recent techniques of data compres sion and the study of numerical approximation properties of polynomial and matrix algorithms), and on computations with Toeplitz matrices and other dense structured matrices. The latter subject should attract people working in numerous areas of application (in particular, coding, signal processing, control, algebraic computing and partial differential equations). The au thors' teaching experience at the Graduate Center of the City University of New York and at the University of Pisa suggests that the book may serve as a text for advanced graduate students in mathematics and computer science who have some knowledge of algorithm design and wish to enter the exciting area of algebraic and numerical computing. The potential readership may also include algorithm and software designers and researchers specializing in the design and analysis of algorithms, computational complexity, alge braic and symbolic computing, and numerical computation.
The book provides a summary of results from the 15th year of the BEACH program, a continuing national study of general practice activity in Australia. From April 2012 to March 2013, 978 general practitioners recorded details about 97,800 GP-patient encounters, at which patients presented 152,278 reasons for encounter and 152,517 problems were managed. For an 'average' 100 problems managed, GPs recorded: 66 medications (including 54 prescribed, six supplied to the patient and six advised for over-the-counter purchase); 11 procedures; 24 clinical treatments (advice and counselling); six referrals to specialists and three to allied health services; orders for 30 pathology tests and seven imaging tests. A subsample study of more than 31,000 patients suggests prevalence of the following measured risk factors in the attending adult (18 years and over) patient population: obesity - 26 per cent; overweight - 34 per cent; daily smoking - 17 per cent; at-risk alcohol consumption - 27 per cent. One in four people in the attending population had at least two of these risk factors. A companion publication, A Decade of Australian General Practice Activity 2003-04 to 2012-13 is also available.
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