Books in Applied mathematics

Scattering Theory, Revised Edition

1st Edition
Volume 26
February 22, 1990
Peter D. Lax + 1 more
English
eBook
9 7 8 0 0 8 0 8 7 3 3 8 1

This revised edition of a classic book, which established scattering theory as an important and fruitful area of research, reflects the wealth of new results discovered in the intervening years. This new, revised edition should continue to inspire researchers to expand the application of the original ideas proposed by the authors.

Misteaks

2nd Edition
June 13, 2013
Barry Cipra
English
eBook
9 7 8 0 3 2 3 1 3 7 7 5 1

This unusual, but very useful, "how-not-to" book is available in a second edition which eliminates most involuntary mistakes.

Reliability in Computing

1st Edition
May 10, 2014
Ramon E. Moore
English
eBook
9 7 8 1 4 8 3 2 7 7 8 4 4

Perspectives in Computing, Vol. 19: Reliability in Computing: The Role of Interval Methods in Scientific Computing presents a survey of the role of interval methods in reliable scientific computing, including vector arithmetic, language description, convergence, and algorithms. The selection takes a look at arithmetic for vector processors, FORTRAN-SC, and reliable expression evaluation in PASCAL-SC. Discussions focus on interval arithmetic, optimal scalar product, matrix and vector arithmetic, transformation of arithmetic expressions, development of FORTRAN-SC, and language description with examples. The text then examines floating-point standards, algorithms for verified inclusions, applications of differentiation arithmetic, and interval acceleration of convergence. The book ponders on solving systems of linear interval equations, interval least squares, existence of solutions and iterations for nonlinear equations, and interval methods for algebraic equations. Topics include interval methods for single equations, diagnosing collinearity, interval linear equations, effects of nonlinearity, and bounding the solutions. The publication is a valuable source of data for computer science experts and researchers interested in the role of interval methods in reliable scientific computing.

Numerical Mathematics and Applications

1st Edition
Volume 1
June 28, 2014
J. Vignes + 1 more
English
eBook
9 7 8 1 4 8 3 2 9 5 6 7 1

IMACS Transactions on Scientific Computation – 85, Volume I: Numerical Mathematics and Applications contains papers on theoretical and applied aspects of numerical mathematics presented at the 11th IMACS World Congress on Scientific Computation, held in Oslo, Norway on August 5-9, 1985. The book focuses on the processes, methodologies, and approaches involved in computer arithmetic. The selection first highlights the use of CESTAC method in the parallel computation of roots of polynomials, CESTAC, and reducing abbreviation errors in iterative resolution of linear systems. Discussions focus on notations and theoretical processes, sequence of iterates in floating-point arithmetic, perturbation method, and CESTAC tested on algorithm and numerical results. The book then takes a look at optimal termination criterion and accuracy tests in mathematical programming; use of the normed residue to check the quality of the solution of a linear system; and computable bounds for solutions of integral equations. The manuscript examines arbitrarily accurate boundaries for solutions of ODEs with initial values using variable precision arithmetic and remarks on some modified Romberg algorithms for numerical integration. Topics include speed of convergence and a priori truncation error estimates, acceleration of convergence, extrapolation schemes, and the initial boundary value problem. The selection is a dependable source of data for mathematicians and researchers interested in numerical mathematics and applications.

Structural Analysis Systems

1st Edition
May 17, 2014
A. Niku-Lari
English
eBook
9 7 8 1 4 8 3 1 6 2 1 9 5

Structural Analysis Systems: Software—Hardware Capability—Compatibi... Volume 1 is a practical guidebook on structural analysis systems and their applications. It provides detailed information about a specific software, its postprocessor capabilities and limitations, computer-aided design connection, and compatibility with the most common computers. Several practical examples from industry with computer and user cost are given. This volume consists of 22 chapters and begins with a brief description of the ADINA 84 system and its finite elements, material models, and solution capabilities. The discussion then turns to the analysis interpretive treatise and its database concept; the ANSYS program for engineering analysis; and the structural analysis capabilities of the boundary element analysis system BEASY. The following chapters explore other structural analysis programs such as DEFOR, FLASH, KYOKAI, PAFEC, and PANDA. General purpose finite element and boundary element computer programs for structural and solid mechanics applications are also described. This book will be a valuable resource for practitioners in scientific and industrial disciplines such as mechanical or civil engineering, informatics, applied mathematics, and computer science.

Structural Analysis Systems

1st Edition
June 6, 2016
A. Niku-Lari
English
eBook
9 7 8 1 4 8 3 1 6 0 1 2 2

Structural Analysis Systems: Software—Hardware Capability—Compatibi... Volume 2 is a practical guidebook on structural analysis systems and their applications. It provides detailed information about a specific software, its postprocessor capabilities and limitations, computer-aided design connection, and compatibility with the most common computers. Several practical examples from industry with computer and user cost are given. This volume consists of 17 chapters and begins with a description of AFAG, a dual finite element analysis program based on the flexibility method. The discussion then turns to the AQUADYN system, designed primarily to reduce the hydrodynamics problem to a linear integral equation for large floating or immersed structures. The following chapters focus on other structural analysis computer programs such as BOSOR4 and BOSOR5, INFESA, MEF/MOSAIC, RCAFAG, and STRUGEN. Some general purpose and special purpose finite element programs used for stress analysis of composite materials are also considered. This book will be a useful resource for practitioners in scientific and industrial disciplines such as mechanical or civil engineering, informatics, applied mathematics, and computer science.

Mathematical Methods for Wave Phenomena

1st Edition
July 27, 1984
Norman Bleistein
English
eBook
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Computer Science and Applied Mathematics: Mathematical Methods for Wave Phenomena focuses on the methods of applied mathematics, including equations, wave fronts, boundary value problems, and scattering problems. The publication initially ponders on first-order partial differential equations, Dirac delta function, Fourier transforms, asymptotics, and second-order partial differential equations. Discussions focus on prototype second-order equations, asymptotic expansions, asymptotic expansions of Fourier integrals with monotonic phase, method of stationary phase, propagation of wave fronts, and variable index of refraction. The text then examines wave equation in one space dimension, as well as initial boundary value problems, characteristics for the wave equation in one space dimension, and asymptotic solution of the Klein-Gordon equation. The manuscript offers information on wave equation in two and three dimensions and Helmholtz equation and other elliptic equations. Topics include energy integral, domain of dependence, and uniqueness, scattering problems, Green's functions, and problems in unbounded domains and the Sommerfeld radiation condition. The asymptotic techniques for direct scattering problems and the inverse methods for reflector imaging are also elaborated. The text is a dependable reference for computer science experts and mathematicians pursuing studies on the mathematical methods of wave phenomena.

Business Mathematics

3rd Edition
May 10, 2014
Burton S. Kaliski
English
eBook
9 7 8 1 4 8 3 2 6 0 5 7 0

Business Mathematics, Third Edition provides the step-by-step explanation of principles, practical aspects, and importance of business mathematics. This edition is organized into six sections encompassing 14 chapters that cover related topics of the metric system, no-fault insurance, individual retirement plans, charge account plans, home mortgages, and NOW accounts. Section 1 gives a thorough review of the fundamental processes, while Section 2 deals with buying and selling, the first factors considered in calculating a firm's profit or loss. Section 3 discusses the operating expenses that reduce the profit or increase the loss from buying and selling activities, and the actual calculation of net profit or loss. Sections 4 and 5 consider the principles of interest as a form of additional income or expense, as well as the investment in stocks, bonds, mutual funds, and other areas as still another source of income or expense. Section 6 describes the procedures for summarizing and analyzing data. The review part at the end of each section lists the important terms and reinforces the major principles learned in the unit. The summary problems in the Unit Review are intended as self-tests and should serve as effective review for examinations. This book will be of great value to business mathematicians, economists, and the general public who are interested in investments.

Linear Panel Analysis

1st Edition
June 28, 2014
Ronald C. Kessler
English
eBook
9 7 8 1 4 8 3 2 9 7 8 2 8

Linear Panel Analysis: Models of Quantitative Change focuses on the use of linear models in the analysis of change data measured on a sample of individuals over multiple time points. This book is organized into 12 chapters. After a general introduction to change analysis in Chapter 1, some basic algebraic results on change scores are presented in Chapter 2. Chapter 3 constructs and analyzes structural equation models for studying the causes of change, while Chapter 4 outlines several ways of simply describing change in groups. The uses and abuses of cross-lagged panel correlations are discussed in Chapter 5. Chapters 6 to 10 deal with a variety of special topics that arise in panel analysis. The alternatives to the analysis of over-time data for a set of individuals are described in Chapter 11. The last chapter is devoted to the practical aspects of designing and carrying out the data collection phase of a panel study. This publication is intended for social scientists who work with change data.

A Second Course in Stochastic Processes

1st Edition
April 28, 1981
Samuel Karlin + 1 more
English
Hardback
9 7 8 0 1 2 3 9 8 6 5 0 4

This Second Course continues the development of the theory and applications of stochastic processes as promised in the preface of A First Course. We emphasize a careful treatment of basic structures in stochastic processes in symbiosis with the analysis of natural classes of stochastic processes arising from the biological, physical, and social sciences.

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Books in Applied mathematics

Scattering Theory, Revised Edition

Misteaks

Reliability in Computing

Numerical Mathematics and Applications

Structural Analysis Systems

Structural Analysis Systems

Mathematical Methods for Wave Phenomena

Business Mathematics

Linear Panel Analysis

A Second Course in Stochastic Processes