Book:H.T.H. Piaggio/An Elementary Treatise on Differential Equations and their Applications/Revised Edition
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H.T.H. Piaggio: An Elementary Treatise on Differential Equations and their Applications (Revised Edition)
Published $\text {1952}$, Bell
Subject Matter
Contents
- Preface (February, 1920)
- Preface to the Revised and Enlarged Edition (May, 1928)
- Preface to the Revised Edition (May, 1952)
- Historical Introduction
- Chapter I. Introduction and Definitions. Elimination. Graphical Representation.
- Chapter II. Equations of the First Order and First Degree
- Chapter III. Linear Equations with Constant Coefficients
- Chapter IV. Simple Partial Differential Equations
- Chapter V. Equations of the First Order, but Not of the First Degree
- Chapter VI. Singular Solutions
- Chapter VII. Miscellaneous Methods for Equations of the Second and Higher Order
- Chapter VIII. Numerical Approximations to the Solution of Differential Equations
- Chapter IX. Solution in Series. Method of Frobenius
- Chapter X. Existence Theorems of Picard, Cauchy, and Frobenius
- Chapter XI. Ordinary Differential Equations with Three Variables and the Corresponding Curves and Surfaces
- Chapter XII. Partial Differential Equations of the First Order. Particular Methods
- Chapter XIII. Partial Differential Equations of the First Order. General Methods.
- Chapter XIV. Partial Differential Equations of the Second and Higher Orders
- Chapter XV. Miscellaneous Methods
- Appendix A
- Necessary and sufficient conditions that the equation
- $M dx + N dy = 0$
- should be exact
- Necessary and sufficient conditions that the equation
- Appendix B
- An equation with no special integrals
- Appendix C
- The equation found by Jacobi's method of Art. $140$ is always integrable
- Appendix D
- Suggestions for further reading
- Miscellaneous Examples of the Whole Book
- Answers to the Examples
- Note on Limiting Solutions
- Index
Further Editions
- 1920: H.T.H. Piaggio: An Elementary Treatise on Differential Equations and their Applications
- 1928: H.T.H. Piaggio: An Elementary Treatise on Differential Equations and their Applications (revised and enlarged ed.)
Source work progress
- 1952: H.T.H. Piaggio: An Elementary Treatise on Differential Equations and their Applications (revised ed.) ... (previous) ... (next): Chapter $\text I$: Introduction and Definitions. Elimination. Graphical Representation: Examples for solution: $(7)$