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 7,179 Downloads 10,252 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 4,080 Downloads 6,034 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 6,823 Downloads 12,957 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 6,546 Downloads 12,461 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 6,710 Downloads 13,087 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 8,670 Downloads 12,617 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 1,314 Downloads 6,584 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 3,446 Downloads 6,762 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 233 Downloads 1,217 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 265 Downloads 1,611 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 237 Downloads 1,268 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 520 Downloads 1,574 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 5,183 Downloads 6,393 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 651 Downloads 1,676 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 6,487 Downloads 12,853 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 1,519 Downloads 2,839 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 232 Downloads 1,338 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 178 Downloads 587 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 361 Downloads 1,684 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 6,964 Downloads 11,345 Views Citations

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