Download e-book for kindle: Fibonacci-Like-Sequences A Scientific Approach by Edgar M Alexander

By Edgar M Alexander

Direct Proof…An substitute To
evidence via Induction

The major function of this paper is to introduce the reader to a substitute for evidence via induction. whereas this rfile isn't intended to exchange present fabric at the topic, it does supply new, cutting edge ideas. My rfile will introduce the reader to a style of defining all Fibonacci numbers with a unmarried parameter. the results of this permits formulation to be confirmed at once. Proofs are consequently simply understood. As a school room instrument for instructing Fibonacci numbers and Lucas numbers, this paper is a necessity.

Beyond that, an analogous rules are prolonged to the universe of all Fibonacci-like sequences. The reader might be capable of discover relationships of different comparable sequences.

Two formulation utilized in the improvement of this paper have been really created and copyrighted in one other of my manuscripts, looking for Pi. while given F(n), F(n + 1) might be computed precisely and without delay as follows:

 F2n = (F2n−1 + (5 * F22n−1 − 4)½) / 2 
and
F2n+1 = (F2n + (5 * F22n + 4)½) / 2

Show description

Read Online or Download Fibonacci-Like-Sequences A Scientific Approach PDF

Similar number theory books

Download PDF by Fedor Bogomolov,Brendan Hassett,Yuri Tschinkel: Birational Geometry, Rational Curves, and Arithmetic (Simons

​​​​This publication positive aspects fresh advancements in a swiftly starting to be region on the interface of higher-dimensional birational geometry and mathematics geometry.  It specializes in the geometry of areas of rational curves, with an emphasis on purposes to mathematics questions.  Classically, mathematics is the examine of rational or essential suggestions of diophantine equations and geometry is the examine of traces and conics.

Gradimir V. Milovanović,Michael Th. Rassias's Analytic Number Theory, Approximation Theory, and Special PDF

This booklet, in honor of Hari M. Srivastava, discusses crucial advancements in mathematical learn in various difficulties. It comprises thirty-five articles, written by way of eminent scientists from the overseas mathematical group, together with either examine and survey works. topics coated contain analytic quantity concept, combinatorics, exact sequences of numbers and polynomials, analytic inequalities and functions, approximation of features and quadratures, orthogonality and specified and intricate features.

J. Coates,M. J. Taylor's L-Functions and Arithmetic (London Mathematical Society PDF

This quantity is an outgrowth of the LMS Durham Symposium on L-functions, held in July 1989. The symposium consisted of numerous brief classes, geared toward offering rigorous yet non-technical expositions of the most recent learn components, and a couple of person lectures on particular themes. The members are all notable figures within the region of algebraic quantity thought and this quantity should be of lasting worth to scholars and researchers operating within the region.

Get Quadratic Residues and Non-Residues: Selected Topics PDF

This e-book bargains an account of the classical concept of quadratic residues and non-residues with the target of utilizing that conception as a lens wherein to view the improvement of a few of the basic tools hired in smooth straightforward, algebraic, and analytic quantity idea. the 1st 3 chapters current a few uncomplicated evidence and the background of quadratic residues and non-residues and speak about a number of proofs of the legislations of Quadratic Reciprosity extensive, with an emphasis at the six proofs that Gauss released.

Extra info for Fibonacci-Like-Sequences A Scientific Approach

Sample text

Download PDF sample

Fibonacci-Like-Sequences A Scientific Approach by Edgar M Alexander


by Paul
4.1

Rated 4.40 of 5 – based on 47 votes