Hilbert’s Fourth Problem - Articles - Scientific Research Publishing

Hilbert’s Fourth Problem: Searching for Harmonic Hyperbolic Worlds of Nature (Articles)

A. P. Stakhov

Journal of Applied Mathematics and Physics Vol.1 No.3, September 24, 2013

DOI: 10.4236/jamp.2013.13010 7,219 Downloads 10,337 Views Citations
The Mathematics of Harmony, Hilbert’s Fourth Problem and Lobachevski’s New Geometries for Physical World (Articles)

Alexey Stakhov, Samuil Aranson

Journal of Applied Mathematics and Physics Vol.2 No.7, June 13, 2014

DOI: 10.4236/jamp.2014.27056 4,109 Downloads 6,122 Views Citations
Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s——Part I. Hyperbolic Fibonacci and Lucas Functions and “Golden” Fibonacci Goniometry (Articles)

Alexey Stakhov, Samuil Aranson

Applied Mathematics Vol.2 No.1, January 30, 2011

DOI: 10.4236/am.2011.21009 6,859 Downloads 13,029 Views Citations
Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s Fourth Problem—Part II. A New Geometric Theory of Phyllotaxis (Bodnar’s Geometry) (Articles)

Alexey Stakhov, Samuil Aranson

Applied Mathematics Vol.2 No.2, February 25, 2011

DOI: 10.4236/am.2011.22020 6,587 Downloads 12,563 Views Citations
Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s Fourth Problem—Part III. An Original Solution of Hilbert’s Fourth Problem (Articles)

Alexey Stakhov, Samuil Aranson

Applied Mathematics Vol.2 No.3, March 24, 2011

DOI: 10.4236/am.2011.23033 6,739 Downloads 13,156 Views Citations
A History, the Main Mathematical Results and Applications for the Mathematics of Harmony (Articles)

A. P. Stakhov

Applied Mathematics Vol.5 No.3, February 11, 2014

DOI: 10.4236/am.2014.53039 8,736 Downloads 12,751 Views Citations
Cosmic Continuum Theory: A New Idea on Hilbert’s Sixth Problem (Articles)

Xijia Wang

Journal of Modern Physics Vol.9 No.6, May 24, 2018

DOI: 10.4236/jmp.2018.96074 1,332 Downloads 6,659 Views Citations
On the Generalization of Hilbert’s 17th Problem and Pythagorean Fields (Articles)

Yuji Shimizuike

Advances in Pure Mathematics Vol.3 No.7A, October 24, 2013

DOI: 10.4236/apm.2013.37A001 3,494 Downloads 6,855 Views Citations
This article belongs to the Special Issue on Number Theory and Crytography
Structural Stability in 4-Dimensional Canards (Articles)

Shuya Kanagawa, Kiyoyuki Tchizawa

Advances in Pure Mathematics Vol.12 No.11, November 4, 2022

DOI: 10.4236/apm.2022.1211046 268 Downloads 1,275 Views Citations
This article belongs to the Special Issue on Approximation Theory and Applications
Hilbert’s First Problem and the New Progress of Infinity Theory (Articles)

Xijia Wang

Journal of Applied Mathematics and Physics Vol.11 No.4, April 18, 2023

DOI: 10.4236/jamp.2023.114060 283 Downloads 1,690 Views Citations
This article belongs to the Special Issue on Algebra
Canards Flying on Bifurcation (Articles)

Shuya Kanagawa, Kiyoyuki Tchizawa

Advances in Pure Mathematics Vol.13 No.6, June 29, 2023

DOI: 10.4236/apm.2023.136026 273 Downloads 1,331 Views Citations
Existence of Positive Solutions for a Fourth-Order Three-Point BVP with Sign-Changing Green’s Function (Articles)

Alhussein Mohamed

Applied Mathematics Vol.12 No.4, April 22, 2021

DOI: 10.4236/am.2021.124022 541 Downloads 1,659 Views Citations
Existence and Uniqueness of Positive Solutions for Fourth-Order Nonlinear Singular Sturm-Liouville Problems (Articles)

Ying He

Journal of Applied Mathematics and Physics Vol.2 No.9, August 26, 2014

DOI: 10.4236/jamp.2014.29099 5,203 Downloads 6,455 Views Citations
The Ordinal Interpretation of the Integers and Its Use in Number Theory (Articles)

Nathan Thomas Hamlin

Open Journal of Discrete Mathematics Vol.9 No.4, October 28, 2019

DOI: 10.4236/ojdm.2019.94013 680 Downloads 1,731 Views Citations
Adomian Decomposition Method for Solving Goursat's Problems (Articles)

Mariam A. Al-Mazmumy

Applied Mathematics Vol.2 No.8, August 8, 2011

DOI: 10.4236/am.2011.28134 6,539 Downloads 12,960 Views Citations
The Proof of Hilbert’s Seventh Problem about Transcendence of e＋π (Articles)

Jiaming Zhu

Open Access Library Journal Vol.3 No.8, August 23, 2016

DOI: 10.4236/oalib.1102893 1,529 Downloads 2,907 Views Citations
The Historical Logic on the Basic Theory of Physics—A Summary on the Cosmic Continuum Theory (Articles)

Xijia Wang

Journal of Applied Mathematics and Physics Vol.11 No.3, March 31, 2023

DOI: 10.4236/jamp.2023.113055 253 Downloads 1,415 Views Citations
Existence of Monotone Positive Solution for a Fourth-Order Three-Point BVP with Sign-Changing Green’s Function (Articles)

Junrui Yue, Yun Zhang, Qingyue Bai

Open Journal of Applied Sciences Vol.14 No.1, January 10, 2024

DOI: 10.4236/ojapps.2024.141005 202 Downloads 632 Views Citations
Negative Answer of Hilbert’s Sixth Mathematical Conjecture
—Mathematical Reasoning of Philosophical Intervening Principle Based on Yin Yang Wu Xing Theory in Traditional Chinese Philosophy (I) (Articles)

Ziqing Zhang, Yingshan Zhang

Open Journal of Philosophy Vol.11 No.4, November 30, 2021

DOI: 10.4236/ojpp.2021.114037 392 Downloads 1,776 Views Citations
An Efficient Technique for Finding the Eigenvalues of Fourth-Order Sturm-Liouville Problems (Articles)

Mohamed El-Gamel, Mona Sameeh

Applied Mathematics Vol.3 No.8, August 1, 2012

DOI: 10.4236/am.2012.38137 6,990 Downloads 11,395 Views Citations

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