Description

Book Synopsis
A thoroughly modern textbook for a differential equations course. The examples and exercises emphasize modelling not only in engineering and physics but also in applied mathematics and biology. There is an early introduction to numerical methods and, throughout, a strong emphasis on the qualitative viewpoint of dynamical systems.

Table of Contents
  • Introduction to differential equations
  • First-order differential equations
  • Second-order differential equations
  • Linear systems of first-order differential equations
  • Geometry of autonomous systems
  • Laplace transforms
  • Introduction to partial differential equations
  • Solving second-order partial differential equations
  • Appendixes: A. Answers to odd-numbered exercises
  • B. Derivative and integral formulas
  • C. Cofactor method for determinants
  • D. Cramer's Rule for solving systems of linear equations
  • E. The Wronskian
  • F. Table of Laplace transforms
  • G. Review of partial derivatives
  • Index

Differential Equations From Calculus to Dynamical

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    A Paperback / softback by Virginia W. Noonburg

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      View other formats and editions of Differential Equations From Calculus to Dynamical by Virginia W. Noonburg

      Publisher: American Mathematical Society
      Publication Date: Publication Date: 30/03/2019
      ISBN13: 9781470463298, 978-1470463298
      ISBN10: 1470463296

      Description

      Book Synopsis
      A thoroughly modern textbook for a differential equations course. The examples and exercises emphasize modelling not only in engineering and physics but also in applied mathematics and biology. There is an early introduction to numerical methods and, throughout, a strong emphasis on the qualitative viewpoint of dynamical systems.

      Table of Contents
      • Introduction to differential equations
      • First-order differential equations
      • Second-order differential equations
      • Linear systems of first-order differential equations
      • Geometry of autonomous systems
      • Laplace transforms
      • Introduction to partial differential equations
      • Solving second-order partial differential equations
      • Appendixes: A. Answers to odd-numbered exercises
      • B. Derivative and integral formulas
      • C. Cofactor method for determinants
      • D. Cramer's Rule for solving systems of linear equations
      • E. The Wronskian
      • F. Table of Laplace transforms
      • G. Review of partial derivatives
      • Index

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