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This book provides exposition of the subject both in its general and algebraic aspects. It deals with the notions of topological spaces, compactness, connectedness, completeness including metrizability and compactification, algebraic aspects of topological spaces through homotopy groups and homology groups. It begins with the basic notions of topological spaces but soon going beyond them reaches the domain of algebra through the notions of homotopy, homology and cohomology. How these approaches work in harmony is the subject matter of this book.
Partial Differential Equations for Engineers and Scientists presents various well known mathematical techniques such as variable of separable method, integral transform techniques and Green's functions method, integral equations and numerical solutions to solve a number of mathematical problems. This comprehensive and compact text book, primarily designed for advanced undergraduate and postgraduate students in mathematics, physics and engineering is enriched with solved examples and supplemented with a variety of exercises at the end of each chapter. The knowledge of advanced calculus, Fourier series and some understanding about ordinary differential equations, finite differences as well as special functions are the prerequisites for the book. Senior undergraduate and postgraduate students offering courses in partial differential equations, researchers, scientists and engineers working in RD organisations would find the book to be most useful.
Contents: Change of Independent Variables, Maxima and Minima (Of Functions of a Single Independent Variable), Maxima and Minima (Of Functions of Two Independent Variable), Maxima and Minima (Of Function of Several Independent Variable), Envelopes and Evolutes, Jacobians, Singular Points, Curve Tracing.
A comprehensive textbook for medical students, pediatric house officers, and practitioners. The volume is divided into five parts: general pediatrics, the fetus and the newborn, ambulatory pediatrics, the sick or hospitalized patient, and the pediatrician's companion--important things you forget to remember. This slightly expanded edition fills in some omissions from the first edition of 1990, which ranged from lead poisoning to roseola infantum, and brings the original material up to date. Annotation copyright by Book News, Inc., Portland, OR
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The desire for numerical answers to applied problems has increased manifold with the advances made in various branches of science and engineering and rapid development of high-speed digital computers. Although numerical methods have always been useful, their role in the present day scientific computations and research is of fundamental importance. numerous distinguishing features. The contents of the book have been organized in a logical order and the topics are discussed in a systematic manner. concepts; algorithms and numerous exercises at the end of each chapter; helps students in problem solving both manually and through computer programming; an exhaustive bibliography; and an appendix containing some important and useful iterative methods for the solution of nonlinear complex equations.