Jason M. Osborne

Publications/

peer reviewed journal articles

Jason M. Osborne

Here are examples which serve as a counter-point to my current mathematical writing style which is focused on e-books emphasizing imagery and pagination which might provide authors and readers an educational freedom they might find lacking in the traditional, academic environment of publish or perish

An Animated

Curvature Story 


Follow treasure hunter and future mathematician Brenna from Australia to America to meet new friend and coder Pete as they write a Not-Proof, try their hand at a Thought Experiment, and enlist the help of Tardis (Pete’s computer) to write a Real-Proof and Draw a Real-Map. All with the help of the Professor’s Indecipherable Notes.

Not into Apple?

Still want to read the book?  

Want to read A Curvature Story outside of Apple Books?

Want a version for Android on the Lithium ePub App?

Want a smaller file size version without the animations?  

Reach out to me from the Contact page to request access to the Bookshelf where these versions can be found.


Not into Apple?

Still want to read the book?  

Want to read A Curvature Story outside of Apple Books?

Want a version for Android on the Lithium ePub App?

Want a smaller file size version without the animations?  

Reach out to me from the Contact page to request access to the Bookshelf where these versions can be found.


Some mathematicians are birds, others are frogs.  


Birds fly high in the air and survey broad vistas of mathematics out to the far horizon. They delight in concepts that unify our thinking and bring together diverse problems from different parts of the landscape.


Frogs live in the mud below and see only the flowers that grow nearby. They delight in the details of particular objects, and they solve problems one at a time.


-Freeman Dyson (Notices of the AMS, Vol. 56 No. 2 


In the future…

With the completion of A Curvature Story, the groundworks have been set and the technical details worked out for future writings in mathematics that are grounded in an intentional integration of text with graphics. These e-texts could focus on 


  • @ matrices and vectors in index notation
  • @ tensors and index notation
  • @ surface geometry and computations
  • @ the metric tensor and lengths and angles
  • @ extrinsic vs. intrinsic geometry
  • @ variations on a theme: differentiation
  • @ differential equations in differential geometry, etc. etc


On Matrices and Vectors Using Index Notation

On Tensors

On Surface Geometry: A Picture-nary

The Metric Tensor

Surface Geometry and an Isometric Invariant

Intrinsic vs. Extrinsic Computations

Variations on a Theme: Differentiation

Towards a Differential Geometry Text