Which are the best references for the study of Fibonacci Sequences using Mathematica?

More A. D. Godase's questions See All

Invitation for Journal Reviewer & Section Editor (Ind. JNT)?

Invitation for Journal Reviewer & Section Editor: Dear Colloquies (Mathematicians) , I am the Chief Editor of Ind. JNT, Indian Journal in Number Theory (https://ijntindia.puzl.com/) from India ....

31 December 2017 716 1 View

Does anybody used mathematica software for conditional Fibonacci sequences?

If anybody used mathematica software for periodic Conditional Fibonacci sequences then please help.

09 October 2017 8,534 0 View

Can anybody suggest me the best book in Generalized Fibonacci sequence and its applications in differential equations?

31 December 2016 3,852 4 View

Can anybody endorse me to submit an article to the math.NT section of arXiv?

To tell us that you would (or would not) like to endorse this person, please visit the following URL: Ashok Godse requests your endorsement to submit an article to themath.NT section of arXiv. To...

11 December 2015 7,321 1 View

Can anybody endorse me in number theory to submit pre published articles on arxiv?

10 November 2015 5,168 0 View

Which are the best open archives in Mathematics?

10 November 2015 625 3 View

Can anybody provide me books on Fibonacci numbers and their applications in agriculture?

10 November 2015 1,955 1 View

Which are the best references for the study of Fibonacci groups using graph theory?

Which are the best references for the study of Fibonacci Groups using Graph theory?

03 April 2015 2,670 2 View

Could you recommend any books about Number Theory?

Beginner level books. High level books. Analytical Number Theory. Algebraic Number Theory. Combinatorical Number Theory. Books about partitions. Books about primes.

03 March 2021 7,174 5 View

Resistor definition in Piezoelectric bimorph with ANSYS workbench

Hello, good day! I am trying to simulate similar bimorph piezoelectric harvester with below commands. However, the output power doesn't change with resistor value. Please help to find the reason. ET,10,CIRCU94,0 !SET UP RESISTOR R,1,100000 !RESISTANCE VALUE TYPE,10 !SET ELEMENT TYPE E,1,2 !CREATE RESISTOR BETWEEN NODES 1 AND 2 Thanks in advance Regards,

02 March 2021 0 0 View

What are the application of Fixed points thoery in Chemistry.?

It is said that fixed point theory has lot of applications not in the field of mathematics only but also in various areas. So I am looking for applications in Chemistry only..

26 February 2021 3,533 1 View

Can I ask did any good platform or journals for learning the calcluation on the reference governors and command governor?

Recently I face some problems with the mathematical ( calculation) on the reference governor and command governor, so I need some help from you all to get which platform or journal can let me...

23 February 2021 7,746 2 View

Special issue on PLS-SEM in Mathematics. Are you interested?

21 February 2021 5,601 3 View

What is the better software for approximation of 3D surface with equations?

I have a massive of x, y, z coordinates of 2D surface in 3D space, which builded in Ansys HFSS or AutoCAD. How can I get the analitical aproximation of this surface by formulas?

21 February 2021 3,444 7 View

How can I obtain a sine function along a path with known equation?

I have a symmetric airfoil with known equation. Now a sine function passes along the airfoil equation like following figure. I want to find the sine function in (x,y) coordinate system.

17 February 2021 1,594 12 View

Does learning mathematics exclusively improve cognitive abilities?

Teaching Mathematics at school to all students is commonly justified by the opinion that it improves their problem-solving skills and "makes them smarter" (whichever measure is implied by this). I...

15 February 2021 7,391 7 View

How to purify cycle sequencing PCR reaction?

i am purifying cycle sequencing PCR reaction. i have tried multiple methods given in BDT manual (provided with the instrument) .everytime i used 96 well reaction plate for this purpose. 7 wells...

14 February 2021 8,534 2 View

Can I get the design of circular cylinder to fix thermocouple on the surface and cartridge heater in core ?

Respected Scientific Community. I'm interested to carry out experimental studies on a circular cylinder. But even after doing literature review I unable to get the exact design of the cylinder...

10 February 2021 6,221 1 View

George Grossman

I did not use Mathematica I use Maple when needed. See books by Thomas Koshy for excellent references on Fib nos.

Ana Paula Chaves

I use Mathematica to find possible solutions for Diophantine equations evolving the Fibonacci sequence and their generalizations, but I do not have a reference instead of my own work. If you have interest, I could send you my .nb file, wich have some useful functions already defined for this matter.

Cheers,

Ana Paula

Anna Valkova Tomova

Dear A. D. Godase ,

According to me, you can use successfully links http://www.wolframalpha.com/input/?i=+Fibonacci+Sequences (the site is based on the Mathematica of Stephen Wolfram) and http://mathworld.wolfram.com/search /? query = Fibonacci + Sequences + & x = 9 & y = 14 with a lot of information about Fibonacci numbers. Good luck! Your sincerely, Anna Tomova

S. M. Shahidul Islam

I think The MATHEMATICA Book 5 written by Stephen Wolfram and published by Wolfram Media is the best book for any mathematica code.

Dimitri Karayannakis

I consider all these answers in this thread useful BUT Fermat sequrences have so many good and concise , usually close-type formulas available that using Mathematica is like killing a fly with a rifle, unless it is a good "excuse; to get to kvw the super power of Mathematica for specific purposes.I myself use Matkab (4th decimal round offs suffices for my neds) but even a good programable scientific pocket calculator usually is also good enough!

Radoslaw Jedynak

You can find the interesting discussion on this subject on the Mathematica StackExcgange:

http://mathematica.stackexchange.com/questions/31593/fibonacci-sequence-generator

It covers the build-in function Fibonnacci which is recursion function as well as other different propositions.

Sudev Naduvath

Dear Prof. Godase,

I would like to mention some really good books as references for Mathematica.

1. M L. Abell and J P. Braselton, Mathematica by Example, Academic Press, 2004.

2. S Wolfram, Mathematica, Version 5, Wolfram Media & Cambridge Univ. Press.

3. E. Don, Schaum's Outline of Mathematica, 2edn, McGrawHill, 2009.

4. S. Wagon, Mathematica® in Action: Problem Solving Through Visualization and Computation, Springer, 2010.

5. J. W. Gray, Mastering Mathematica: Programming Methods and Applications, Academic Press, 1998.

I am not sure whether these books are the correct suggestions for your query. Please respond if they are useful

Thank you

I send You the address in Internet : http://www.wolframalpha.com/input/?i=+Fibonacci%27s+numbers and I hope that it will be suitable for You. Sincerely Yours, Anna Tomova.