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Look Inside Theory of Differential Equations

Theory of Differential Equations
Partial Differential Equations

Volume 6

  • Date Published: July 2012
  • availability: Available
  • format: Paperback
  • isbn: 9781107692749

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  • Andrew Russell Forsyth (1858–1942) was an influential Scottish mathematician notable for incorporating the advances of Continental mathematics within the British tradition. Originally published in 1906, this book constitutes the sixth and final volume in Forsyth's Theory of Differential Equations series, concentrating specifically on partial differential equations. The text contains detailed information on the development of this area and substantial contributions made to it. All sources are quoted in their proper connection and a few fresh investigations are added. Examples are given, where necessary, in order to provide illustrations of various methods. This book will be of value to anyone with an interest in differential equations and the history of mathematics.

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    Product details

    • Date Published: July 2012
    • format: Paperback
    • isbn: 9781107692749
    • length: 612 pages
    • dimensions: 216 x 140 x 35 mm
    • weight: 0.77kg
    • availability: Available
  • Table of Contents

    12. General integrals of equations of orders higher than the first
    13. Linear equations of the second order in two independent variables: the Laplace-transformations
    14. Adjoint equations: linear equations having equal invariants
    15. Forms of equations of the second order in two independent variables having their general integrals in explicit finite form
    16. Equations of the second order in two independent variables having an intermediate integral
    17. Ampère's method applied to equations of the second order in two independent variables
    18. Darboux's method and other methods for equations of the second order in two independent variables
    19. Generalisation of integrals
    20. Characteristics of equations of second order: intermediate integrals
    21. General transformation of equations of the second order
    22. Equations of the third and higher orders, in two independent variables
    23. Equations of the second order in more than two independent variables, having an intermediate integral
    24. Equations of the second order in three independent variables, not necessarily having an intermediate integral
    Index to Part IV.

  • Author

    Andrew Russell Forsyth

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