The book caters to the 1st semester students of BSc (Hons) Mathematics of Indian universities. It has been written strictly in accordance with the CBCS syllabus of the UGC. The book teaches the concepts and techniques of basic algebra with a focus on explaining definitions and theorems, and creating proofs. The theory is supported by numerous examples and plenty of worked-out problems. Its strict logical organization has been designed to help the reader to develop confidence in the subject. By introducing various interesting applications of algebra the book also aims at creating a broad and solid foundation for the study of advanced mathematics. The contents covered in the book are equivalence relations, functions, cardinality, congruence-modulo, mathematical induction and De Moivre's theorem. Further, some basic topics of linear algebra like vectors and matrices, linear equations, Gauss elimination, subspace and its dimension, rank-nullity theorem, linear trans-formations and their relations to matrices, and eigenvalues and eigenvectors are also covered. Since practice makes the man perfect, there are a good number of problems that stretch the thinking power of the learner. The problems are graded from easy to those involving higher order thinking. By its virtue the book inculcates that mathe-matical maturity which students need in their current and future courses to grow up into mathematicians of substance.
Paracrine and autocrine regulation of cardiac function by "endothelial" mediators is becoming important both physiologically and pathophysiologically. This volume brings the researcher completely up to date with all aspects of endothelial regulation and cardiac function. Acknowledged experts in each field have contributed, making this work indispensable for researchers and of great interest to the clinical cardiologist. The Endothelial Cell Research Series publishes significant reviews by experts in the field. The individual volumes provide invaluable guides to researchers studying endothelial cells and are effective reference texts for anyone working in the general areas of vascular biology and neurotransmission. Endothelium was originally considered to be an inert lining for the blood vessels, but during the last fifteen years, this view has had to be completely revised. It is now accepted that the endothelium plays an important role in many diverse functions. This volume concentrates on the effect of the endothelium on cardiac function. It has been widely demonstrated that the endothelium exerts a paracrine influence on contraction of adjacent cardiac muscle through the release of several mediators, such as endothelin and nitric oxide. Recent studies also show that the effects of such mediators upon the heart are not limited to contraction alone.
The book details sources of thermal energy, methods of capture, and applications. It describes the basics of thermal energy, including measuring thermal energy, laws of thermodynamics that govern its use and transformation, modes of thermal energy, conventional processes, devices and materials, and the methods by which it is transferred. It covers 8 sources of thermal energy: combustion, fusion (solar) fission (nuclear), geothermal, microwave, plasma, waste heat, and thermal energy storage. In each case, the methods of production and capture and its uses are described in detail. It also discusses novel processes and devices used to improve transfer and transformation processes.
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