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Academic Press

Essentials of Elementary School Mathematics
1st Edition
Max D. Larsen + 1 more
English
Essentials of Elementary School Mathematics is an introductory text on the essentials of mathematics taught in elementary schools. It presents a systematic development of the mathematics of arithmetic. A primary objective is to give students a background sufficient to understand and answer at an appropriate level the various quite penetrating questions asked by young students. Some examples and exercises are concerned primarily with pedagogical aspects of arithmetic. Comprised of 14 chapters, this book begins with an overview of the language of mathematics, focusing on concepts such as the conjunction (and); negation (not); disjunction (or); and conditional (if...then...). The discussion then turns to the theory of sets; the concept of binary operations; and recognition and identification of properties of various relations. The next section deals with the number systems of arithmetic: whole numbers, integers, rational numbers, and real numbers. Number theory and clock arithmetic are also examined, along with counting techniques and probability. The final section is devoted to motion geometry and analytic geometry. This monograph should be of interest to students and teachers of mathematicians at the elementary level.
A First Course in Linear Algebra
1st Edition
Daniel Zelinsky
Samuel S. Saslaw
English
A First Course in Linear Algebra provides an introduction to the algebra and geometry of vectors, matrices, and linear transformations. This book is designed as a background for second-year courses in calculus of several variables and differential equations where the theory of linear differential equations parallels that of linear algebraic equations. The topics discussed include the multiplication of vectors by scalars, vectors in n-space, planes and lines, and composites of linear mappings. The symmetric matrices and mappings, quadratic forms, change of coordinates, and effect of change of basis on matrices of linear functions are also described. This text likewise considers the computation of determinants, diagonalizable transformations, computation of eigenvalues and eigenvectors, and principal axis theorem. This publication is suitable for college students taking a course in linear algebra.
Rheology
Theory and Applications
1st Edition
Frederick R. Eirich
English
Rheology: Theory and Applications, Volume 4 focuses on the characteristics and reactions of materials of more fluid nature, including viscosity, dispersions, kinetics, and molecular structure. The selection first elaborates on viscosity and molecular structure and microrheology of dispersions. Discussions focus on applications to hemorheology and suspension viscosity, kinetics of flowing dispersions, inertial effects, stresses on particles in laminar shear, molecular motions in liquids, effect of molecular structure on viscosity of nonassociated liquids, and viscosity of mixtures and solutions. The manuscript then takes a look at high-shear viscometry and thixotropy and dilatancy, as well as polymer degradation under high-shear conditions, occurrence of thixotropy and dilatancy, structural turbulence, and analysis of flow behavior at high shear rates. The text examines the rheological aspects of the mixing of plastics compounds, rheology of liquid crystals, and nonlinear steady-flow behavior. Topics include normal stress functions, cholesteric mesophase, nematic mesophase and systems of rods, experimental evaluation of laminar-flow mixing theory, and mixers in the plastics industry. The selection is a dependable source material for researchers interested in the theories and applications of rheology.
Elementary Plane Rigid Dynamics
1st Edition
H. W. Harkness
English
Elementary Plane Rigid Dynamics focuses on the basic ideas of particle dynamics, including center of gravity, inertia, friction, and oscillations. The publication first offers information on the motion of a rigid body around a fixed axis. Discussions focus on moment of inertia for a sphere for an axis through its center of gravity; moment of inertia of a cylinder for an axis through its center of gravity and normal to its axis of figure; and moment of inertia of a rectangular parallelepiped for an axis normal to one of its faces and through its center of gravity. The text then elaborates on the general plane motion of a rigid body and some special problems involving friction. Topics include belt and rope friction, power transmitted by a flat disk coupling, friction in a flat step bearing, meaning of the general torque equation for plane motion, superelevation of the outer rail on a railway curve, kinetic energy, and equilibrium. The book takes a look at undamped simple harmonic motion and damped and forced oscillations, including vibrations with damping, compound pendulum, and amplitude of forced oscillations in the steady state. The publication is a valuable source of data for students interested in plane rigid dynamics.
Intracellular Transport
Symposia of the International Society for Cell Biology, Vol. 5
1st Edition
Katherine Brehme Warren
English
Intracellular Transport is a collection of papers that examines the processes of and the mechanisms underlying intracellular transport. One paper describes that all active transport processes in the amoeba are intracellular and depend on dynamic transformations of membrane into cytoplasm, and of cytoplasm into membrane. Another paper discusses the kinetics of membrane transport, of which the phenomena of counterflow can become a "mobile carrier" system. The paper notes that the specific transport properties of membranes are conferred by the proteins of the surfaces that are grouped as macromolecular complexes, probably similar to those of enzymes. One paper describes the concept of parametric pumping, an oscillation-driven separation process, as a possible model for active transport in biological cells. Another paper compares the fine-scale diffusion effects that happen in a mixture without large-scale concentration gradients and where the effect are on a large scale. The homogenous kinetic law can be used in the large-scale situation; the law already can account for any of the fine-scale diffusion effects. The paper notes that without large-scale concentration gradients, the transport event is from a local region to a nearby reaction site only. Where the effects are on a large scale, the diffusion results in a gross transport of over distances larger than molecular dimensions. This collection can prove useful for mathematicians, cellular biologists, physical chemists, physiologists, electron microscopicists, geneticists, and engineers.
Topology
Volume II
1st Edition
K. Kuratowski
English
Topology, Volume II deals with topology and covers topics ranging from compact spaces and connected spaces to locally connected spaces, retracts, and neighborhood retracts. Group theory and some cutting problems are also discussed, along with the topology of the plane. Comprised of seven chapters, this volume begins with a discussion on the compactness of a topological space, paying particular attention to Borel, Lebesgue, Riesz, Cantor, and Bolzano-Weierstrass conditions. Semi-continuity and topics in dimension theory are also considered. The reader is then introduced to the connectedness of a space, with emphasis on the general properties and monotone mappings of connected spaces; local connectedness of a topological space; absolute retracts and contractible spaces; and general properties of commutative groups. Qualitative problems related to polygonal arcs are also examined, together with cohomotopic multiplication and duality theorems. The final chapter is devoted to the topology of a plane and evaluates the concept of the Janiszewski space. This monograph will be helpful to students and practitioners of algebra and mathematics.
Curves and Surfaces
1st Edition
Pierre-Jean Laurent + 2 more
English
Curves and Surfaces provides information pertinent to the fundamental aspects of approximation theory with emphasis on approximation of images, surface compression, wavelets, and tomography. This book covers a variety of topics, including error estimates for multiquadratic interpolation, spline manifolds, and vector spline approximation. Organized into 77 chapters, this book begins with an overview of the method, based on a local Taylor expansion of the final curve, for computing the parameter values. This text then presents a vector approximation based on general spline function theory. Other chapters consider a nonparametric technique for estimating under random censorship the amplitude of a change point in change point hazard models. This book discusses as well the algorithm for ray tracing rational parametric surfaces based on inversion and implicitization. The final chapter deals with the results concerning the norm of the interpolation operator and error estimates for a square domain. This book is a valuable resource for mathematicians.
Control of Energy Metabolism
1st Edition
Britton Chance + 2 more
English
Control of Energy Metabolism: A Colloquium of the Johnson Research Foundation focuses on the processes, reactions, and approaches involved in the control of energy metabolism. The selection first offers information on the respiratory chain as a model for metabolic control in multi-enzyme systems, dynamics and control in cellular reactions, and computer-based analysis of biochemical data. The text then explores purification and properties of rabbit skeletal muscle phosphofructokinase; multiple forms of heart phosphofructokinase; and mechanisms of inhibition and activation of phosphofructokinase in Novikoff ascites tumor cells. Discussions focus on the properties of purified phosphofructokinase; effect of heart extracts on reactivation of phosphofructokinase; active and inactive forms of phosphofructokinase; and effect of hexose phosphate and adenylic nucleotides on reactivation of phosphofructokinase. The manuscript takes a look at enzyme and metabolite profiles; coordinated stimulation of hexokinase and phosphofructokinase by phosphate in a reconstituted system of glycolysis; control of hexokinase in ascites tumor glycolysis; and cation flux across the mitochondrial membrane as a possible pacemaker of tissue metabolism. The selection is a vital reference for biochemists and researchers interested in the control of energy metabolism.
Topological Spaces
1st Edition
H. J. Kowalsky
English
Topological Spaces focuses on the applications of the theory of topological spaces to the different branches of mathematics. The book first offers information on elementary principles, topological spaces, and compactness and connectedness. Discussions focus on locally compact spaces, local connectedness, fundamental concepts and their reformulations, lattice of topologies, axioms of separation, fundamental concepts of set theory, and ordered sets and lattices. The manuscript then ponders on mappings and extensions and characterization of topological spaces, including completely regular spaces, transference of topologies, Wallman compactification, and embeddings. The publication takes a look at metric and uniform spaces and applications of topological groups. Topics include the Stone-Weierstrass Approximation Theorem, extensions and completions of topological groups, topological rings and fields, extension and completion of uniform spaces, uniform continuity and uniform convergence, metric spaces, and metritization. The text is a valuable reference for mathematicians and researchers interested in the study of topological spaces.
Biochemistry of Glucuronic Acid
1st Edition
Neal E. Artz + 1 more
English
Biochemistry of Glucuronic Acid provides a comprehensive study of the metabolic importance of glucoronic acid. This book presents the physiological role of glucoronic acid as a detoxifying agent. Organized into four chapters, this book begins with an overview of the naphthoresorcinol test, which is the most accurate colorimetric method for the determination of glucoronic acid. This text then explores the occurrence of glucoronic acid, which is found in many plant gums, in oxycellulose, as well as in conjugated form in low concentrations in normal blood and urine. Other chapters consider the mechanisms for the formation of glucoronic acid in the body. The final chapter deals with detoxication as any chemical change occurring in the body that brings about the conversion of a foreign compound of known structure to a derivative that is excreted in the urine. This book is a valuable resource for biochemists.

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