Handbook of Mathematics for Engineers and Scientists

Handbook of Mathematics for Engineers and Scientists

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Features

  • Presents a wealth of useful mathematical information, from elementary to advanced concepts
  • Describes formulas, methods, equations, and solutions that are frequently used in scientific and engineering applications
  • Covers classical as well as newer solution methods for various mathematical equations, such as algebraic, ordinary differential, partial differential, integral, difference, and functional
  • Contains many results in tabular form, including finite sums and series, indefinite and definite integrals, direct and inverse integral transforms, and exact solutions of differential, integral, and functional equations
  • Supplies numerous examples, graphs, figures, and diagrams to help with the understanding of the problems and methods discussed
  • Includes an extensive table of contents, special font highlighting, cross references, and a detailed index to help locate the desired information
  • Summary

    The Handbook of Mathematics for Engineers and Scientists covers the main fields of mathematics and focuses on the methods used for obtaining solutions of various classes of mathematical equations that underlie the mathematical modeling of numerous phenomena and processes in science and technology. To accommodate different mathematical backgrounds, the preeminent authors outline the material in a simplified, schematic manner, avoiding special terminology wherever possible.

    Organized in ascending order of complexity, the material is divided into two parts. The first part is a coherent survey of the most important definitions, formulas, equations, methods, and theorems. It covers arithmetic, elementary and analytic geometry, algebra, differential and integral calculus, special functions, calculus of variations, and probability theory. Numerous specific examples clarify the methods for solving problems and equations. The second part provides many in-depth mathematical tables, including those of exact solutions of various types of equations.

    This concise, comprehensive compendium of mathematical definitions, formulas, and theorems provides the foundation for exploring scientific and technological phenomena.

    Table of Contents

    Authors
    Foreword
    Main Notation
    DEFINITIONS, FORMULAS, METHODS, AND THEOREMS
    Arithmetic and Elementary Algebra
    Elementary Functions
    Elementary Geometry
    Analytic Geometry
    Algebra
    Limits and Derivatives
    Integrals
    Series
    Differential Geometry
    Functions of Complex Variable
    Integral Transforms
    Ordinary Differential Equations
    First-Order Partial Differential Equations
    Linear Partial Differential Equations
    Nonlinear Partial Differential Equations
    Integral Equations
    Difference Equations and Other Functional Equations
    Special Functions and Their Properties
    Calculus of Variations and Optimization
    Probability Theory
    Mathematical Statistics
    MATHEMATICAL TABLES
    Finite Sums and Infinite Series
    Integrals
    Integral Transforms
    Ordinary Differential Equations
    Systems of Ordinary Differential Equations
    First-Order Partial Differential Equations
    Linear Equations and Problems of Mathematical Physics
    Nonlinear Mathematical Physics Equations
    Systems of Partial Differential Equations
    Integral Equations
    Functional Equations
    Supplement: Some Useful Electronic Mathematical Resources
    Index

    Editorial Reviews

    “The book is split into two parts: methods (about 1100 pages), and tables (about 400 pages). Both parts are well structured and well written. … the coverage of the topics included is excellent … this is a fine reference text, offered at a very reasonable price …”
    SIAM Review, Vol. 49, No. 3, September 2007

     
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