**Readers wanted for ****handbook with exercises in real quaternion calculus**

My name is Svetlin Georgiev Georgiev. … I am professor – researcher of Ordinary and Partial Differential equations. From 3 years ago I began to study Clifford analysis and quaternion analysis. I decided to make a **handbook with exercises in real quaternion calculus**. … there are many papers but the papers do not include many examples. Also I think before trying to publish this handbook it would be good to inform about the project on some website. I will very much appreciate the opinion of interested readers for the handbook.

Please send me an email if you want obtain the draft of the handbook. I am waiting for your comments.

With best regards,

Svetlin Georgiev

Email: sgg2000bg_at_yahoo.com

Current Contents (revised: 9 September 2009)

1 Notations

2 Quaternion operations

3 Exponents and Logarithms

4 Trigonometry

5 Hyperbolic

6 Inverse hyperbolic and trigonometric functions

7 Equivalent quaternions and roots of quaternion

8 Applications to plane geometry

9 Quaternion matrices

10 Monomials and polynomials

11 Quaternion sequences

12 Limit of functions, continuous functions, left differentiable functions, right differentiable functions

13 Spherical linear interpolation, spherical cubic interpolation

14 Quaternion differential forms

15 Quaternion holomorphic functions

16 Integration

17 Quaternion Fourier transform

18 Fractional quaternion Fourier transform

19 Quaternion operator calculus

20 Quaternion linear differential equations of first order

21 Quaternion linear system of ordinary differential equations

22 Quaternion partial differential equations of first order

23 Quaternion linear partial differential equations of second order

24 Quaternion distribution: definition, limit of quaternion distributions

25 Differentiation of quaternion distributions, convolution of quaternion distribution, tensor multiplication of quaternion distributions

References

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Dear Svetlin, please enter the contact mode! Best, Bernd Schmeikal

Is the handbook available electronically? If so, have a link?

Dear Lester,

I asked Svetlin about his handbook. He says it will soon be available online, he is preparing a new extended version. Please contact him directly, if you are interested in the previous version:

Svetlin Georgiev: sgg2000bg_at_yahoo.com

With kind regards, Eckhard

There is a new chapter

“23. Differentiation of quaternion distributions, convolution of quaternion distributions, tensor multiplication of quaternion distributions”

There is a new chapter

“22. Quaternion distribution : definition, limit of quaternion distributions”

There is a newe chapter

“21. Quaternion linear partial differential equations of second order”

There is a new chapter

“20. Quaternion partial differential equations of first order”

There is a new chapter

“19. Quaternion linear system of ordinary differential equations “.

There is a new chapter

18. Quaternion linear differential equations of first order

There is a new chapter

“17. Quaternion operator calculas”

There is a new chapter

“16. Quaternion Fourier Transform”

There is a new chapter

15. Integration

There is new chapter

14. Quaternion holomorphic functions

There is a new chapter

13. Real quaternion valued forms.

In accordance with reader’s suggestion I add new chapter “12. Spherical linear interpolation, spherical cubic interpolation”.

There is a new chapter

11. Limit of functions, continuous functions, left differentiable functions, right differentiable functions

I have not seen any books that offer many examples of Quatenion Calculus – your book seems like a good idea to me.

Professor Svetlin Georgiev is excellent researcher

and educator.

I was his student at Oxford University.

There is a new chapter

“Quaternion series”

Next chapters:

10. Functions

11. Differentiation

12. Integration

13. Transformations

There is a new chapter. Chapter 9: monomials and polynomials.

I find that the education is important.

Therefore, before using computer programs every student and researcher ought to have education to make by oneself the basic operations, in this case basic quaternionic arithmetic operations.

I’d be willing to read and comment on your handbook.

The handbook is not available online now, but it will be possible very soon. Now is preparing new version where are added many new problems.

A few years ago I wrote a software tool that you might find useful. It is a quaternion data class for MatLab.

It allows you to perform quaternion arithmetic with a computer. It was built by the recursive application of the Cayley-Dickson construction, so it also can do octonion arithmetic. It also does sedenion arithmetic to the extent sedenions make any sense.

If you are a little familiar with Matlab, you might find it interesting.

It also includes the traditional trigonometric and exponential functions and comes with a test program that shows how to use the whole package.