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Books in Mathematics general

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61-70 of 853 results in All results

Fundamentals of Technical Mathematics

  • 1st Edition
  • October 16, 2015
  • Sarhan M. Musa
  • English
  • Paperback
    9 7 8 - 0 - 1 2 - 8 0 1 9 8 7 - 0
  • eBook
    9 7 8 - 0 - 1 2 - 8 0 2 0 1 6 - 6
Fundamentals of Technical Mathematics introduces key, applied mathematics for engineering technologists and technicians. Through a simple, engaging approach, the book reviews basic mathematics, including whole numbers, fractions, mixed numbers, decimals, percentages, ratios, and proportions. The book covers conversions to different units of measure (standard and/or metric) and other topics as required by specific businesses and industries, providing a go-to resource on the topic. Building on these foundations, it then explores concepts in arithmetic, introductory algebra, equations, inequalities, and modeling, graphs and functions, measurement, geometry, and trigonometry, all the while supporting these concepts with practical applications in a variety of technical and career vocations, including automotive, allied health, welding, plumbing, machine tool, carpentry, auto mechanics, HVAC, and many other fields. In addition, the book provides practical examples from a vast number of technologies.

A Correlation Study of Methods of Matrix Structural Analysis

  • 1st Edition
  • Volume 69
  • December 2, 2014
  • Richard H. Gallagher
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 2 - 2 3 6 7 - 4
A Correlation Study of Methods of Matrix Structural Analysis describes the results of a survey and review of airframe matrix structural analysis. The book also explains concepts of force and displacement, as well as the techniques for determining the force-displacement properties of discrete elements employed in analytical idealizations of structures. The text investigates the results of extensive analyses of multiweb low aspect ratio wings, using past evaluative studies and idealizations contained in reports of the AGARD Structures and Materials Panel. The techniques describe in the Panel and other techniques in matrix structural analysis lead to identical formulations of the governing equations. The differences between various references with respect to idealization are independent of the formulation of the governing equations. The solutions to governing equations are precise solutions for the postulated discrete element system. The book also describes a recommended computer program development using whichever is more appropriate between a force approach or displacement approach to matrix structural analysis. The text is valuable for researchers in structural analysis, aeronautics, applied mechanics, and investigators of aircraft engineering.

Doing Bayesian Data Analysis

  • 2nd Edition
  • November 3, 2014
  • John Kruschke
  • English
  • Hardback
    9 7 8 - 0 - 1 2 - 4 0 5 8 8 8 - 0
  • eBook
    9 7 8 - 0 - 1 2 - 4 0 5 9 1 6 - 0
Doing Bayesian Data Analysis: A Tutorial with R, JAGS, and Stan, Second Edition provides an accessible approach for conducting Bayesian data analysis, as material is explained clearly with concrete examples. Included are step-by-step instructions on how to carry out Bayesian data analyses in the popular and free software R and WinBugs, as well as new programs in JAGS and Stan. The new programs are designed to be much easier to use than the scripts in the first edition. In particular, there are now compact high-level scripts that make it easy to run the programs on your own data sets. The book is divided into three parts and begins with the basics: models, probability, Bayes’ rule, and the R programming language. The discussion then moves to the fundamentals applied to inferring a binomial probability, before concluding with chapters on the generalized linear model. Topics include metric-predicted variable on one or two groups; metric-predicted variable with one metric predictor; metric-predicted variable with multiple metric predictors; metric-predicted variable with one nominal predictor; and metric-predicted variable with multiple nominal predictors. The exercises found in the text have explicit purposes and guidelines for accomplishment. This book is intended for first-year graduate students or advanced undergraduates in statistics, data analysis, psychology, cognitive science, social sciences, clinical sciences, and consumer sciences in business.

Methods of Contour Integration

  • 1st Edition
  • Volume 3
  • September 28, 2014
  • M. L. Rasulov
  • H. A. Lauwerier + 1 more
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 2 - 7 5 0 0 - 0
Methods of Contour Integration contains two parts: (1) a systematic exposition of the computational method for solving boundary and mixed problems, and (2) the contour-integral method for investigating general linear mixed problems. The first part includes formulae for expanding arbitrary vector-valued functions in series from integral residues of solutions of boundary-value problems for systems of ordinary differential equations with discontinuous coefficients. These formulae give residue representations of solutions of the corresponding one-dimensional mixed problems for equations with discontinuous coefficients. The book also explains a computational method of separating the variables which is a generalization of the ordinary method of separating variables to the case of nonself-adjoint operators. In part two, the text discusses one-dimensional mixed problems for equations with discontinuous coefficients. Under regular boundary conditions, it proves the existence of solutions for these problems and the representability of the solutions in the form of contour integrals with a complex parameter. The text points out that the contour-integral method is also applicable to parabolic equations and to equations in which the coefficients are functions of time. The book is ideal for mathematicians, students, and professor of calculus and advanced mathematics.

Nonlinear Differential Equations

  • 1st Edition
  • Volume 2
  • September 25, 2014
  • Svatopluk Fucik + 1 more
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 2 - 7 8 3 7 - 7
Studies in Applied Mathematics, 2: Nonlinear Differential Equations focuses on modern methods of solutions to boundary value problems in linear partial differential equations. The book first tackles linear and nonlinear equations, free boundary problem, second order equations, higher order equations, boundary conditions, and spaces of continuous functions. The text then examines the weak solution of a boundary value problem and variational and topological methods. Discussions focus on general boundary conditions for second order ordinary differential equations, minimal surfaces, existence theorems, potentials of boundary value problems, second derivative of a functional, convex functionals, Lagrange conditions, differential operators, Sobolev spaces, and boundary value problems. The manuscript examines noncoercive problems and vibrational inequalities. Topics include existence theorems, formulation of the problem, vanishing nonlinearities, jumping nonlinearities with finite jumps, rapid nonlinearities, and periodic problems. The text is highly recommended for mathematicians and engineers interested in nonlinear differential equations.

Functions of a Complex Variable and Some of Their Applications

  • 1st Edition
  • August 1, 2014
  • B. A. Fuchs + 1 more
  • I. N. Sneddon + 1 more
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 1 - 5 5 0 5 - 0
Functions of a Complex Variable and Some of Their Applications, Volume 1, discusses the fundamental ideas of the theory of functions of a complex variable. The book is the result of a complete rewriting and revision of a translation of the second (1957) Russian edition. Numerous changes and additions have been made, both in the text and in the solutions of the Exercises. The book begins with a review of arithmetical operations with complex numbers. Separate chapters discuss the fundamentals of complex analysis; the concept of conformal transformations; the most important of the elementary functions; and the complex potential for a plane vector field and the application of the simplest methods of function theory to the analysis of such a field. Subsequent chapters cover the fundamental apparatus of the theory of regular functions, i.e. basic integral theorems and expansions in series; the general concept of an analytic function; applications of the theory of residues; and polygonal domain mapping. This book is intended for undergraduate and postgraduate students of higher technical institutes and for engineers wishing to increase their knowledge of theory.

Operational Calculus

  • 2nd Edition
  • Volume 110
  • August 1, 2014
  • Thomas K. Boehme
  • I.N. Sneddon
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 1 - 6 1 4 5 - 7
Operational Calculus, Volume II is a methodical presentation of operational calculus. An outline of the general theory of linear differential equations with constant coefficients is presented. Integral operational calculus and advanced topics in operational calculus, including locally integrable functions and convergence in the space of operators, are also discussed. Formulas and tables are included. Comprised of four sections, this volume begins with a discussion on the general theory of linear differential equations with constant coefficients, focusing on such topics as homogeneous and non-homogeneous equations and applications of operational calculus to partial differential equations. The section section deals with the integral of an operational function and its applications, along with integral transformations. A definition of operators in terms of abstract algebra is then presented. Operators as generalized functions, power series of operators, and Laplace transform are also discussed. Formulas of the operational calculus and tables of functions round out the book. This monograph will be useful to engineers, who regard the operational calculus merely as a tool in their work, and readers who are interested in proofs of theorems and mathematical problems.

Theory of Approximation of Functions of a Real Variable

  • 1st Edition
  • Volume 34
  • July 22, 2014
  • A. F. Timan
  • I. N. Sneddon + 2 more
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 1 - 8 4 8 1 - 4
Theory of Approximation of Functions of a Real Variable discusses a number of fundamental parts of the modern theory of approximation of functions of a real variable. The material is grouped around the problem of the connection between the best approximation of functions to their structural properties. This text is composed of eight chapters that highlight the relationship between the various structural properties of real functions and the character of possible approximations to them by polynomials and other functions of simple construction. Each chapter concludes with a section containing various problems and theorems, which supplement the main text. The first chapters tackle the Weierstrass's theorem, the best approximation by polynomials on a finite segment, and some compact classes of functions and their structural properties. The subsequent chapters describe some properties of algebraic polynomials and transcendental integral functions of exponential type, as well as the direct theorems of the constructive theory of functions. These topics are followed by discussions of differential and constructive characteristics of converse theorems. The final chapters explore other theorems connecting the best approximations functions with their structural properties. These chapters also deal with the linear processes of approximation of functions by polynomials. The book is intended for post-graduate students and for mathematical students taking advanced courses, as well as to workers in the field of the theory of functions.

The Theory of Jets in an Ideal Fluid

  • 1st Edition
  • Volume 93
  • July 22, 2014
  • M. I. Gurevich
  • J. P. Kahane + 2 more
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 1 - 8 5 8 2 - 8
Pure and Applied Mathematics, Volume 39: The Theory of Jets in an Ideal Fluid provides a general idea of the theory of jets. This book serves as an introduction to the classical problems in the theory and provides some knowledge of the fundamentals of hydromechanics. Organized into 12 chapters, this volume begins with an overview of the theory of plane, steady flow of an ideal, incompressible fluid. This text then examines the jet flow of an unbounded current about a flat plate, placed perpendicular to the flow. Other chapters consider a number of problems involving the plane flow of fluid out of vessels. This book discusses as well the physical importance of Brillouin's condition and also the problem of cavitational flow. The final chapter deals with the flows of weightless fluid in order to know the effect of surface tension forces. This book is a valuable resource for marine and hydraulic engineers.