{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

ch01_4 - Ch 1.4 Historical Remarks The development of...

Info icon This preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
Ch 1.4: Historical Remarks The development of differential equations is a significant part of the general development of mathematics. Isaac Newton (1642-1727) was born in England, and is known for his development of calculus and laws of physics (mechanics), series solution to ODEs, 1665 –1690. Gottfried Leibniz (1646-1716) was born in Leipzig, Germany. He is known for his development of calculus (1684), notation for the derivative ( dy / dx ), method separation of variables (1691), first order ODE methods (1694).
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
The Bernoullis Jakob Bernoulli (1654-1705) & Johann Bernoulli (1667-1748) were both raised in Basel, Switzerland. They used calculus and integrals in the form of differential equations to solve mechanics problems. Daniel Bernoulli (1700-1782), son of Johann, is known for his work on partial differential equations and applications, and Bessel functions.
Image of page 2
Leonard Euler (1707-1783) Leonard Euler (pronounced “oiler”), was raised in Basel, Switzerland, and was the most prolific mathematician of all time. His collected works fill more than 70 volumes.
Image of page 3

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern