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    • Curves and Surfaces

      • 1st Edition
      • May 12, 2014
      • Pierre-Jean Laurent + 2 more
      • English
      • eBook
        9 7 8 1 4 8 3 2 6 3 8 7 8
      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.

    • Computing Methods in Optimization Problems

      • 1st Edition
      • May 12, 2014
      • A. V. Balakrishnan + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 9 7 2 2
      • eBook
        9 7 8 1 4 8 3 2 2 3 1 5 5
      Computing Methods in Optimization Problems deals with hybrid computing methods and optimization techniques using computers. One paper discusses different numerical approaches to optimizing trajectories, including the gradient method, the second variation method, and a generalized Newton-Raphson method. The paper cites the advantages and disadvantages of each method, and compares the second variation method (a direct method) with the generalized Newton-Raphson method (an indirect method). An example problem illustrates the application of the three methods in minimizing the transfer time of a low-thrust ion rocket between the orbits of Earth and Mars. Another paper discusses an iterative process for steepest-ascent optimization of orbit transfer trajectories to minimize storage requirements such as in reduced memory space utilized in guidance computers. By eliminating state variable storage and control schedule storage, the investigator can achieve reduced memory requirements. Other papers discuss dynamic programming, invariant imbedding, quasilinearization, Hilbert space, and the computational aspects of a time-optimal control problem. The collection is suitable for computer programmers, engineers, designers of industrial processes, and researchers involved in aviation or control systems technology.

    • The Alkaloids

      • 1st Edition
      • May 12, 2014
      • R. H. F. Manske
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 8 4 9 7
      • eBook
        9 7 8 1 4 8 3 2 2 1 9 2 2
      The Alkaloids: Chemistry and Physiology, Volume V: Pharmacology deals with the chemistry and pharmacology of the alkaloids. This book discusses the general pharmacology of morphine, cryptopine-like compounds, toad poisons, and respiratory stimulants. The appraisal of the utility of alkaloids as antimalarials, uterine stimulants, metabolism of cocaine, and optical isomerism-activity relationship are also elaborated. This publication likewise covers the parasympathetic blocking agents as mydriatics, methods of measuring mydriatic activity, alkaloids exhibiting curariform activity, and minor alkaloids of unknown structure. Other topics include the fate of morphine, tropane group, factors affecting cocaine anesthesia, and sympathomimetic mydriatics. This volume is intended for chemists and pharmacologists concerned with alkaloids.

    • Scientific Uncertainty, and Information

      • 1st Edition
      • May 12, 2014
      • Leon Brillouin
      • English
      • Paperback
        9 7 8 1 4 8 3 2 5 5 9 0 3
      • eBook
        9 7 8 1 4 8 3 2 6 6 3 6 7
      Scientific Uncertainty and Information focuses on the validation of theories developed in physics, chemistry, biology, and other fields of science. The book first elaborates on thermodynamics, statistics, and information and the importance of scientific laws. Discussions focus on the importance and value of theories, empirical and theoretical laws, scientific laws and negentropy, principles of thermodynamics, entropy and value, negentropy, and energy degradation, and thermodynamics and information theory. The text then ponders on mathematical theorems and physical theories, imagination and invention in a theory, and causality and determinism. The manuscript underscores the weaknesses and limitations of mechanics and Poincare and the shortcomings of the Hamilton-Jacobi method for classical or quantized mechanics. Topics include the discussion of a simple example with two variables; degeneracy conditions and the possibility of finding a Hamilton-Jacobi transformation function; approximations for nondegenerate systems; methods of analytical dynamics for separated variables; and the objective world and the problem of determinism. The publication is a dependable reference for researchers interested in the validation of theories in science.

    • Handbook of Differential Equations

      • 2nd Edition
      • May 12, 2014
      • Daniel Zwillinger
      • English
      • Paperback
        9 7 8 1 4 8 3 2 4 8 8 8 2
      • eBook
        9 7 8 1 4 8 3 2 6 3 9 6 0
      Handbook of Differential Equations, Second Edition is a handy reference to many popular techniques for solving and approximating differential equations, including numerical methods and exact and approximate analytical methods. Topics covered range from transformations and constant coefficient linear equations to Picard iteration, along with conformal mappings and inverse scattering. Comprised of 192 chapters, this book begins with an introduction to transformations as well as general ideas about differential equations and how they are solved, together with the techniques needed to determine if a partial differential equation is well-posed or what the "natural" boundary conditions are. Subsequent sections focus on exact and approximate analytical solution techniques for differential equations, along with numerical methods for ordinary and partial differential equations. This monograph is intended for students taking courses in differential equations at either the undergraduate or graduate level, and should also be useful for practicing engineers or scientists who solve differential equations on an occasional basis.

    • Similarity and Dimensional Methods in Mechanics

      • 1st Edition
      • May 12, 2014
      • L. I. Sedov
      • English
      • Paperback
        9 7 8 1 4 8 3 2 1 2 4 8 7
      • eBook
        9 7 8 1 4 8 3 2 2 5 9 1 3
      Similarity and Dimensional Methods in Mechanics provides a complete development of the basic concepts of dimensional analysis and similarity methods, illustrated by applications to a wide variety of problems in mechanics. This book shows the power of dimensional and similarity methods in solving problems in the theory of explosions and astrophysics. Organized into five chapters, this book begins with an overview of the fundamental ideas behind similarity and dimensional methods. This text then provides a series of examples of application of the methods. Other chapters consider the use of similarity and dimensional analysis in developing fundamental contributions to viscous fluid theory. This book discusses as well the various theories of isotropic turbulence. The final chapter deals with the applications to the theory of the luminosity and internal structure of stars. This book is a valuable resource for students who wish to learn dimensional analysis and similarity methods for the first time. Readers who are connected with the many aspects of gas dynamics, including space technology, astrophysics, and atomic energy will also find this book useful.

    • Physical and Chemical Methods

      • 1st Edition
      • May 12, 2014
      • Curtis A. Williams + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 9 5 6 2
      • eBook
        9 7 8 1 4 8 3 2 2 2 9 9 8
      Methods in Immunology: Volume II, Physical and Chemical Methods is a collection of papers dealing with electrophoresis, analytical ultracentrifugation, dialysis, ultrafiltration, cellulose ion exchangers, and chromatographic separation of macromolecules on porous gels. Some papers explain the applications of radioisotopes, optical analysis, and chemical analysis of proteins, carbohydrates, lipids, and nucleic acid. One paper describes the theory of electro-migration. Factors such as electrical charge or frictional coefficients govern the rate of migration of charged particles in an electric field. The differences found in their velocities can be used to separate substances or analyze them. Mobility is a characteristic property of molecules and can also be influenced by the composition of the medium or solution. Dialysis separates solvents too large to diffuse through a barrier from smaller solutes; ultrafiltration (reverse osmosis) forces solvent and solutes up to a certain critical size through the barrier by a high pressure on one side. The book notes that the membrane never becomes plugged in dialysis because of some opposite movement of the solvent. Another paper points out that the significance of radioactive tracers in immunochemistry employed to identify and label macromolecules functioning as antigens and antibodies. The collection can prove valuable to bio-chemists, cellular biologists, micro-biologists, developmental biologists, and scientists involved in immunological research.

    • Nonlinear Problems of Engineering

      • 1st Edition
      • May 12, 2014
      • William F. Ames
      • English
      • Paperback
        9 7 8 1 4 8 3 2 1 2 3 8 8
      • eBook
        9 7 8 1 4 8 3 2 2 5 8 1 4
      Nonlinear Problems of Engineering reviews certain nonlinear problems of engineering. This book provides a discussion of nonlinear problems that occur in four areas, namely, mathematical methods, fluid mechanics, mechanics of solids, and transport phenomena. Organized into 15 chapters, this book begins with an overview of some of the fundamental ideas of two mathematical theories, namely, invariant imbedding and dynamic programming. This text then explores nonlinear integral equations, which have long occupied a prominent place in mathematical analysis. Other chapters consider the phenomena associated with essentially divergent small-divisor series, such as may occur in the formal solution of differential equations that represent the oscillations of conservative dynamical systems. This book discusses as well the mechanics of idealized textiles consisting of inextensible filaments. The final chapter deals with the use of the Peaceman–Rachford alternating direction implicit method for solving the finite difference analogs of boundary value problems. This book is a valuable resource for engineers and mathematicians.

    • A Guidebook to Fortran on Supercomputers

      • 1st Edition
      • May 12, 2014
      • John M. Levesque + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 4 2 6 4 4
      • eBook
        9 7 8 1 4 8 3 2 6 5 7 1 1
      A Guidebook to Fortran on Supercomputers presents in detail both the underlying architecture of supercomputers and the manner by which a compiler maps Fortran code onto that architecture. This book outlines the constructs preventing full optimization and provides specific strategies for restructuring a program. Organized into four chapters, this book begins with an overview of the basic concepts of vector, scalar, and parallel processing. This text then provides an in-depth look at the architectural features of a variety of existing machines, with emphasis to the features common to many of them. Other chapters consider the optimization techniques used by compilers and how a programmer can take advantage of this knowledge in restructuring existing programs and in the development of new applications. The final chapter presents examples of loops from real-world programs, with a discussion of the inherent problems. This book is a valuable resource for scientists, engineers, students, and research workers.

    • Nonlinear Systems and Applications

      • 1st Edition
      • May 12, 2014
      • V. Lakshmikantham
      • English
      • Paperback
        9 7 8 1 4 8 3 2 4 2 1 9 4
      • eBook
        9 7 8 1 4 8 3 2 7 2 2 4 5
      Nonlinear Systems and Applications: An International Conference contains the proceedings of an International Conference on Nonlinear Systems and Applications held at the University of Texas at Arlington, on July 19-23, 1976. The conference provided a forum for reviewing advances in nonlinear systems and their applications and tackled a wide array of topics ranging from abstract evolution equations and nonlinear semigroups to controllability and reachability. Various methods used in solving equations are also discussed, including approximation techniques for delay systems. Most of the applications are in the area of the life sciences. Comprised of 59 chapters, this book begins with a discussion on monotonically convergent upper and lower bounds for classes of conflicting populations, followed by an analysis of constrained problems. The reader is then introduced to approximation techniques for delay systems in biological models; differential inequalities for Liapunov functions; and stability or chaos in discrete epidemic models. Subsequent chapters deal with nonlinear boundary value problems for elliptic systems; bounds for solutions of reaction-diffusion equations; monotonicity and measurability; and periodic solutions of some integral equations from the theory of epidemics. This monograph will be helpful to students, practitioners, and researchers in the field of mathematics.

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