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ISSN
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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
6,835
Downloads
9,567
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
3,863
Downloads
5,221
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
6,337
Downloads
12,363
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
6,081
Downloads
11,905
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
6,339
Downloads
12,367
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
8,327
Downloads
11,568
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
1,092
Downloads
5,159
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
3,243
Downloads
6,123
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
96
Downloads
545
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
87
Downloads
669
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
78
Downloads
519
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
299
Downloads
982
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
4,985
Downloads
5,807
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
493
Downloads
1,179
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
6,067
Downloads
12,302
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
1,390
Downloads
2,127
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
93
Downloads
579
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
46
Downloads
152
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
165
Downloads
762
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
6,678
Downloads
10,817
Views
Citations
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