Differential geometry is a branch of mathematics that applies differential and integral calculus to planes, space curves, surfaces in three-dimensional space, and geometric structures on differentiable manifolds. It is closely related to differential topology and to the geometric aspects of the theory of differential equations.

A broad range of topics may be studied in differential geometry, and those include, but are not limited to:

  • Curves in the plane
  • Famous plane curves
  • Alternative ways of plotting curves
  • New curves from old
  • Determining a plane curve from its curvature
  • Global properties of plane curves
  • Curves in space
  • Construction of space curves
  • Calculus on Euclidean space
  • Surfaces in Euclidean space
  • Nonorientable surfaces
  • Metrics on surfaces
  • Shape and curvature
  • Ruled surfaces
  • Surfaces of revolution and constant curvature
  • A selection of minimal surfaces
  • Intrinsic surface geometry
  • Asymptotic curves and geodesics on surfaces
  • Principal curves and umbilic points
  • Canal surfaces and cyclides of Dupin
  • The theory of surfaces of constant negative curvature
  • Minimal surfaces via complex variables
  • Rotation and animation using quaternions
  • Differentiable manifolds
  • Riemannian manifolds
  • Abstract surfaces and their geodesics
  • The Gauss-Bonnet theorem

There are many places to find great books on differential geometry, and as usual, a good place to start looking is Amazon.com. Remember to check out the Journal of Differential Geometry which is published under the copyright of Lehigh University in Bethlehem, Pennsylvania.

Other useful links may include:


To fulfill our tutoring mission of online education, our college homework help and online tutoring centers are standing by 24/7, ready to assist college students who need homework help with all aspects of differential geometry. Our mathematics tutors can help with all your projects, large or small, and we challenge you to find better online differential geometry tutoring anywhere.

Get College Homework Help.

Are you sure you don't want to upload any files?

Fast tutor response requires as much info as possible.

Upload a file
Continue without uploading

We couldn't find that subject.
Please select the best match from the list below.
For faster response, you may skip assigning directly to a tutor to receive the first tutor available.
That tutor may not be available for several hours. Please try another tutor if you're in a hurry.

We'll send you an email right away. If it's not in your inbox, check your spam folder.

  • 1
  • 2
  • 3
Get help from a qualified tutor

Latest News

Read All News
April 20, 2021

New subject available! Quantitative Methods

Hey students!  24HourAnswers.com is proud to annouce that we've added another topic to our Business subject area. You can now receive online tutoring for Quantitative Methods. You can learn more about Quantitative Methods at https://www.24houranswers.com/subjects/Business/Quantitative-Methods.   -24HourAnswers team
April 12, 2021

$500 College Scholarship Deadline

Just a reminder to our students and website visitors that the deadline for the Spring semester scholarship is May 1st. To learn more about applying, please visit our blog.  https://www.24houranswers.com/blog/75/24HourAnswers-500-Scholarship  
Live Chats