Differential Equations by William Woolsey Johnson
Differential Equations - Table of Contents
- 1. Equations of First Order and Degree
- 2. Geometrical Representation
- 3. Primitive of a Differential Equation
- 4. Exact Differential Equation and exact differential equation integrating factors
- 5. Homogeneous Equation
- 6. The Linear Equation
- 7. First Order and Second Degree
- 8. Singular Solution and singular solution complete integral analysis
- 9. Singular Solution from the Complete Integral
- 10. Solution by Differentiation
- 11. Geometric Applications Trajectories and orthogonal trajectories geometric applications
- 12. Simultaneous Differential Equations
- 13. Equations of second Order
- 14. The Two First Integrals
- 15. Linear Equations
- 16. Linear Equations with Constant Coefficients
- 17. Homogeneous Linear Equations
- 18. Solutions in Infinite Series and power series solutions differential equations
- 19. Systems of Differential Equations
- 20. First order and Degree with Three Variables
- 21. Partial Differential Equations of First Order and Degree
- 22. Complete and General Integrals
- 23. Complete Integral for Special Forms
- 24. Partial Equations of Second Order and second order partial differential equations
- 25. Linear Partial Differential Equations
What You Will Learn in Differential Equations
Differential Equations by William Woolsey Johnson is an authoritative, classical 19th-century textbook providing an exhaustive and systematic treatment of ordinary and partial differential equations. Structured logically across 25 detailed chapters, this volume covers exact differential equations, primitive concepts, singular solutions, orthogonal trajectories, linear equations with constant or variable coefficients, series solutions, and second-order partial differential equations.
Tailored for undergraduate mathematics majors, engineering students, and historians of mathematics, Prof. Johnson presents operational symbolic methods and geometric representations with exceptional clarity. Readers are guided step-by-step through first-order complete integrals, simultaneous system solving, series expansion solutions, and linear partial differential equations in three variables.
Prized for its pedagogical precision, rich collection of classic worked examples, and comprehensive coverage, it stands as one of the best classical differential equations textbooks pdf available for study. It systematically equips scholars with timeless analytical tools for mastering classical differential equations with confidence.
Book Details & Specifications
Title:
Differential Equations by William Woolsey Johnson
Publisher:
Wiley, New York
Year:
1906
Pages:
96
Type:
PDF
Language:
English
ISBN-10 #:
B007SPAUEQ
ISBN-13 #:
N/A
License:
Public Domain Work
Amazon:
Amazon
About the Author: William Woolsey Johnson
The author William Woolsey Johnson
(1841–1927) was a distinguished American mathematician and Professor of Mathematics at the United States Naval Academy in Annapolis, Maryland.
A founding member of the New York Mathematical Society (which later became the American Mathematical Society), Prof. Johnson authored several influential textbooks on calculus, curve tracing, and differential equations during the late 19th and early 20th centuries.
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