Covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional space. Problems with hints and answers.

This clear exposition begins with basic concepts and moves on to combination of events, dependent events and random variables, Bernoulli trials and the De Moivre-Laplace theorem, a detailed treatment of Markov chains, continuous Markov processes, and more. 150 problems, many with answers. Indispensable to mathematicians and natural scientists alike.

This reputable translation covers trigonometric Fourier series, orthogonal systems, double Fourier series, Bessel functions, the Eigenfunction method and its applications to mathematical physics, operations on Fourier series and much more. Over 100 problems at ends of chapters. Answers in back of book. 1962 ed.

2013 Reprint of 1961 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. This introduction to linear algebra and functional analysis offers a clear expository treatment, viewing algebra, geometry, and analysis as parts of an integrated whole rather than separate subjects. All abstract ideas receive a high degree of motivation, and numerous examples illustrate many different fields of mathematics. Abundant problems include hints or answers. Georgi Shilov was a Soviet mathematician and expert in the field of functional analysis, who contributed to the theory of normed rings and generalized functions. Shilov often collaborated with colleague Israel Gelfand on research that included generalized functions and partial differential equations.

Binaural interference occurs when the speech input to one ear interferes with the input to the other ear during binaural stimulation. The first report on binaural interference twenty-five years ago demonstrated that some individuals, particularly older individuals, perform less well with binaural than monaural stimulation. Binaural interference is relevant to every audiologist because it may impact the successful use of binaural hearing aids. This exciting new book, written by two highly respected audiologists, first traces the history of research into binaural interference, then reviews the evidence, both direct and indirect, supporting its reality. This is followed by a discussion of the possible causes of the phenomenon, and in-depth analysis of four illustrative cases. Next, a systematic approach to the clinical detection, evaluation and amelioration of individuals who exhibit binaural interference is outlined. This is followed by suggestions on how to improve techniques for evaluation of the binaural advantage in general, and improved detection of the disorder in particular. The book ends with recommendations for future directions. Given the adverse impact of binaural interference on auditory function, and its occurrence in a significant subset of the population with hearing loss, research on binaural interference only recently has begun to flourish. Adapting audiological clinical practice to identify, assess, and manage individuals with binaural interference is not yet widespread. The authors hope that the book will provide impetus for pursuing further research and encouraging audiologists to explore the possibility of binaural interference when patient complaints suggest it. The book is intended for practicing clinical audiologists, audiology students, and anyone interested in pursuing serious research on this interesting phenomenon.

Children in precarious health present particular problems for healthcare professionals because of their intimate relation to their family, and because of the family's need to provide major long-term source of support and to be actively involved in the decisions about their children's care. This collection of cases and commentaries in pediatrics highlights the difficult ethical dilemmas that can arise during high-tech hospital care of children in precarious circumstances. It serves as a teaching tool for clinical ethics and as an introduction for medical students and residents. Clinical cases are described in detail by the physicians involved, who focus on the ethical issues arising during treatment. Each case is then commented on in detail by a philosopher or other bioethicist. It thus serves well as an introduction to contemporary clinical bioethics, but with a firm grounding in the practicalities of real-life pediatric care in the hospital setting.

Few books on Ordinary Differential Equations (ODEs) have the elegant geometric insight of this one, which puts emphasis on the qualitative and geometric properties of ODEs and their solutions, rather than on routine presentation of algorithms.

Starting with the useful concept of an elementary integral defined (axiomatically) on a family of elementary functions, this treatment examines the general theory of the integral, Lebesque integral in n space, the Riemann-Stieltjes integral, and more. "The exposition is fresh and sophisticated, and will engage the interest of accomplished mathematicians." - Sci-Tech Book News. 1966 edition.