Advanced engineering mathematics

著者

書誌事項

Advanced engineering mathematics

Erwin Kreyszig

Wiley, c1988

6th ed

  • pbk.

大学図書館所蔵 件 / 全44件

この図書・雑誌をさがす

注記

Includes bibliographical references and index

内容説明・目次

巻冊次

pbk. ISBN 9780471627876

内容説明

Introducing those areas of mathematics which are most important to practical problem solving in the field, this book pays particular attention to ordinary differential equations, linear algebra and vector analysis, complex analysis, and numerical methods. Fourier series and partial differential equations are also covered thoroughly. The problem sets in this edition have been updated and revised to give greater weight to modeling, phase-plane and numerical multi-step methods, and applications. Each section includes examples and problems illustrating concepts, methods and results, and their engineering applications.

目次

  • ORDINARY DIFFERENTIAL EQUATIONS: Differential Equations of the First Order
  • Linear Differential Equations
  • Systems of Differential Equations, Phase Plane, Stability
  • Series Solutions of Differential Equations, Orthogonal Functions
  • Laplace Transformation
  • LINEAR ALGEBRA, VECTOR CALCULUS: Vectors
  • Matrices and Determinants
  • Vector Differential Calculus
  • Line and Surface Integrals, Integral Theorems
  • FOURIER ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONS: Fourier Series, Fourier Integrals, Fourier Transforms
  • Partial Differential Equations
  • COMPLEX ANALYSIS: Complex Numbers, Complex Analytic Functions
  • Complex Integration
  • Power Series, Taylor Series, Laurent Series
  • Residue Integration Method
  • Conformal Mapping
  • Complex Analysis Applied to Potential Theory
  • NUMERICAL ANALYSIS: Numerical Methods in General
  • Numerical Methods in Linear Algebra
  • Numerical Methods for Differential Equations
  • OPTIMIZATION, GRAPHS: Unconstrained Optimization, Linear Programming
  • Graphs and Combinatorial Optimization
  • PROBABILITY AND STATISTICS: Probability Theory
  • Mathematical Statistics. Appendixes.
巻冊次

ISBN 9780471858249

内容説明

Introducing those areas of mathematics which are most important to practical problem-solving in engineering, this book pays particular attention to ordinary differential equations, linear algebra and vector analysis, complex analysis, and numerical methods. Fourier series and partial differential equations are also covered thoroughly. The problem sets in this edition have been updated and revised to give greater weight to modeling, phase-plane and numerical multi-step methods, and applications. Each section includes examples and problems illustrating concepts, methods and results, and their engineering applications.

目次

  • ORDINARY DIFFERENTIAL EQUATIONS: Differential Equations of the First Order
  • Linear Differential Equations
  • Systems of Differential Equations, Phase Plane, Stability
  • Series Solutions of Differential Equations, Orthogonal Functions
  • Laplace Transformation
  • LINEAR ALGEBRA, VECTOR CALCULUS: Vectors
  • Matrices and Determinants
  • Vector Differential Calculus
  • Line and Surface Integrals, Integral Theorems
  • FOURIER ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONS: Fourier Series, Fourier Integrals, Fourier Transforms
  • Partial Differential Equations
  • COMPLEX ANALYSIS: Complex Numbers, Complex Analytic Functions
  • Complex Integration
  • Power Series, Taylor Series, Laurent Series
  • Residue Integration Method
  • Conformal Mapping
  • Complex Analysis Applied to Potential Theory
  • NUMERICAL ANALYSIS: Numerical Methods in General
  • Numerical Methods in Linear Algebra
  • Numerical Methods for Differential Equations
  • OPTIMIZATION, GRAPHS: Unconstrained Optimization, Linear Programming
  • Graphs and Combinatorial Optimization
  • PROBABILITY AND STATISTICS: Probability Theory
  • Mathematical Statistics.

「Nielsen BookData」 より

詳細情報

ページトップへ