Log in

Relevant bibliographies by topics / Euler's theorem / Journal articles

To see the other types of publications on this topic, follow the link: Euler's theorem.

Journal articles on the topic 'Euler's theorem'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Euler's theorem.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Heinrich, Katherine, and Peter Horak. "Euler's Theorem." American Mathematical Monthly 101, no. 3 (1994): 260. http://dx.doi.org/10.2307/2975604.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Heinrich, Katherine, and Peter Horak. "Euler's Theorem." American Mathematical Monthly 101, no. 3 (1994): 260–61. http://dx.doi.org/10.1080/00029890.1994.11996939.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

ÇÖKEN, A. CEYLAN. "ON EULER'S THEOREM IN SEMI-EUCLIDEAN SPACES $\mathbb{E}_{v}^{n+1}$." International Journal of Geometric Methods in Modern Physics 08, no. 05 (2011): 1117–29. http://dx.doi.org/10.1142/s0219887811005579.

Full text

Abstract:

In this paper, we study Euler's theorem for semi-Euclidean hypersurfaces in the semi-Euclidean spaces [Formula: see text]. We obtain an analog of the well-known Euler's theorem for semi-Euclidean hypersurfaces in the semi-Euclidean spaces [Formula: see text]. Then we give corollaries of Euler's theorem concerning conjugate and asymptotic directions. After that, we express Euler's theorem and its corollaries for hypersurfaces in the Euclidean space 𝔼m in the case n = m - 1, v = 0. In addition, we give the well-known Euler's theorem and its corollaries for surfaces in the case n = 2, v = 0, for

APA, Harvard, Vancouver, ISO, and other styles

4

Dini Wahyuningsih. "Teorema Kecil Fermat (Fermat’s Little Theorem)." Jurnal Pustaka Cendekia Pendidikan 2, no. 3 (2024): 147–51. https://doi.org/10.70292/jpcp.v2i3.17.

Full text

Abstract:

Fermat's Little Theorem is a fundamental theorem from the realm of number theory. Even by using this theorem, we can derive Euler's Theorem with the help of the properties of the Euler function φ, even though actually Fermat's Little Theorem is a special case of Euler's Theorem. Then Fermat's little theorem (Fermat's little theorem) is a form of Number Theory, which is a branch of Mathematics that discusses various things about numbers. In number theory there is a chapter that discusses three mathematicians who were very useful in the development of number theory. Fermat's theorem is not a gra

APA, Harvard, Vancouver, ISO, and other styles

5

Wardlaw, William P. "Euler's Theorem for Polynomials." Mathematics Magazine 65, no. 5 (1992): 334. http://dx.doi.org/10.2307/2691245.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Wardlaw, William P. "Euler's Theorem for Polynomials." Mathematics Magazine 65, no. 5 (1992): 334–35. http://dx.doi.org/10.1080/0025570x.1992.11996048.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Kunwar, Rajendra, and Laxmi G. C. "Inductive Insights into Preserving Euler Characteristics in Topological Transformations." Journal of Mathematics Instruction, Social Research and Opinion 3, no. 3 (2024): 335–59. http://dx.doi.org/10.58421/misro.v3i3.305.

Full text

Abstract:

Topological transformations involve altering the shape or structure of surfaces without changing their fundamental properties. One key property is the Euler characteristic, a topological invariant that remains constant under continuous deformations. This study employs an inductive approach to explore how various transformations can preserve the Euler characteristic, providing insights into the underlying principles. The study aims to deepen our understanding of the relationship between topological transformations, changes in the number of vertices, edges, and faces, and their impact on Euler's

APA, Harvard, Vancouver, ISO, and other styles

8

Majeed, Amir Sabir. "Embedding of Neutrosophic Graphs on Topological Surfaces." JOURNAL OF UNIVERSITY OF BABYLON for Pure and Applied Sciences 32, no. 2 (2024): 183–96. http://dx.doi.org/10.29196/jubpas.v32i2.5279.

Full text

Abstract:

Background: A planar graph (PG) is a graph with no intersecting edges. Particular to both crisp and neutrosophic graphs (NG) is the planar graph, in contrast to crisp planar graphs. NPGs allow for the intersection of neutrosophic edge NEs, since the value of planarity in these graphs is the degree of planarity of the intersected NEs. The NPGs are often represented on a flat surface. Materials and Methods: This study discusses how to embed NGs on surfaces such as spheres and m-toruses by defining the degree of intersection of the neutrosophic edges of NGs with finding the faces on the given gra

APA, Harvard, Vancouver, ISO, and other styles

9

Kandall, Geoffrey A. "Euler's Theorem for Generalized Quadrilaterals." College Mathematics Journal 33, no. 5 (2002): 403. http://dx.doi.org/10.2307/1559015.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Dubeau, F., and S. Labbe. "Euler's characteristics and Pick's theorem." International Journal of Contemporary Mathematical Sciences 2 (2007): 909–28. http://dx.doi.org/10.12988/ijcms.2007.07094.

Full text

APA, Harvard, Vancouver, ISO, and other styles

11

Chen, William Y. C., and Kathy Q. Ji. "Weighted forms of Euler's theorem." Journal of Combinatorial Theory, Series A 114, no. 2 (2007): 360–72. http://dx.doi.org/10.1016/j.jcta.2006.06.005.

Full text

APA, Harvard, Vancouver, ISO, and other styles

12

Koshy, Thomas. "82.6 A Generalisation of Euler's Theorem." Mathematical Gazette 82, no. 493 (1998): 80. http://dx.doi.org/10.2307/3620158.

Full text

APA, Harvard, Vancouver, ISO, and other styles

13

Grünbaum, Branko, and Murray S. Klamkin. "Euler's Ratio-Sum Theorem and Generalizations." Mathematics Magazine 79, no. 2 (2006): 122. http://dx.doi.org/10.2307/27642919.

Full text

APA, Harvard, Vancouver, ISO, and other styles

14

Grünbaum, Branko, and Murray S. Klamkin. "Euler's Ratio-Sum Theorem and Generalizations." Mathematics Magazine 79, no. 2 (2006): 122–30. http://dx.doi.org/10.1080/0025570x.2006.11953389.

Full text

APA, Harvard, Vancouver, ISO, and other styles

15

ZYUZ’KOV, Valentin Mikhailovich. "AROUND EULER'S THEOREM ON SUMS OF DIVISORS." Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, no. 51 (February 1, 2018): 19–32. http://dx.doi.org/10.17223/19988621/51/3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

16

Ahn, Seung-Ho, Dong-Soo Kim, and Young-Ho Kim. "A CONVERSE OF EULER'S THEOREM FOR POLYHEDRA." Honam Mathematical Journal 33, no. 4 (2011): 495–98. http://dx.doi.org/10.5831/hmj.2011.33.4.495.

Full text

APA, Harvard, Vancouver, ISO, and other styles

17

Mohan, Maya, M. K. Kavitha Devi, and Jeevan Prakash V. "Exponential Simplification Using Euler's and Fermat's Theorem." Procedia Computer Science 78 (2016): 714–21. http://dx.doi.org/10.1016/j.procs.2016.02.029.

Full text

APA, Harvard, Vancouver, ISO, and other styles

18

Holst, Lars. "Probabilistic Proofs of Euler Identities." Journal of Applied Probability 50, no. 4 (2013): 1206–12. http://dx.doi.org/10.1239/jap/1389370108.

Full text

Abstract:

Formulae for ζ(2n) andLχ4(2n+ 1) involving Euler and tangent numbers are derived using the hyperbolic secant probability distribution and its moment generating function. In particular, the Basel problem, where ζ(2) = π2/ 6, is considered. Euler's infinite product for the sine is also proved using the distribution of sums of independent hyperbolic secant random variables and a local limit theorem.

APA, Harvard, Vancouver, ISO, and other styles

19

Holst, Lars. "Probabilistic Proofs of Euler Identities." Journal of Applied Probability 50, no. 04 (2013): 1206–12. http://dx.doi.org/10.1017/s0021900200013887.

Full text

Abstract:

Formulae for ζ(2n) andLχ4(2n+ 1) involving Euler and tangent numbers are derived using the hyperbolic secant probability distribution and its moment generating function. In particular, the Basel problem, where ζ(2) = π2/ 6, is considered. Euler's infinite product for the sine is also proved using the distribution of sums of independent hyperbolic secant random variables and a local limit theorem.

APA, Harvard, Vancouver, ISO, and other styles

20

Sălăjan (Pomian), Raluca Anamaria. "The convergence of the Euler's method." Journal of Numerical Analysis and Approximation Theory 39, no. 1 (2010): 87–92. http://dx.doi.org/10.33993/jnaat391-922.

Full text

Abstract:

In this article we study the Euler's iterative method. For this method we give a global theorem of convergence. In the last section of the paper we give a numerical example which illustrates the result exposed in this work.

APA, Harvard, Vancouver, ISO, and other styles

21

Li, Chengze, Yunhan Lin, and Shichen Xiang. "Complex Analysis and Residue Theorem." Highlights in Science, Engineering and Technology 38 (March 16, 2023): 736–45. http://dx.doi.org/10.54097/hset.v38i.5938.

Full text

Abstract:

Mathematics is knitted into our lives by laying the fundamental base of many things. But people still think it is unnecessary to study math deeply due to its complexity. A lot of the great work from mathematicians is not noticed by other fields. Among all the essential mathematical methods and theorems, the Residue Theorem is one of the most significant ones. Therefore, this article will interpret the Residue Theorem step by step with its related theorems. Before jumping into the Residue Theorem, the article will introduce a series of mathematical methods, including the Triangle Inequality, th

APA, Harvard, Vancouver, ISO, and other styles

22

Grunbaum, Branko, and G. C. Shephard. "A New Look at Euler's Theorem for Polyhedra." American Mathematical Monthly 101, no. 2 (1994): 109. http://dx.doi.org/10.2307/2324358.

Full text

APA, Harvard, Vancouver, ISO, and other styles

23

Liu, Ji-Cai. "Some finite generalizations of Euler's pentagonal number theorem." Czechoslovak Mathematical Journal 67, no. 2 (2017): 525–31. http://dx.doi.org/10.21136/cmj.2017.0063-16.

Full text

APA, Harvard, Vancouver, ISO, and other styles

24

Kim, Dong-Soo, and Young-Ho Kim. "TOTAL ANGULAR DEFECT AND EULER'S THEOREM FOR POLYHEDRA." Pure and Applied Mathematics 19, no. 1 (2012): 37–42. http://dx.doi.org/10.7468/jksmeb.2012.19.1.37.

Full text

APA, Harvard, Vancouver, ISO, and other styles

25

Bar-Itzhack, I. Y. "Extension of Euler's theorem to n-dimensional spaces." IEEE Transactions on Aerospace and Electronic Systems 25, no. 6 (1989): 903–9. http://dx.doi.org/10.1109/7.40731.

Full text

APA, Harvard, Vancouver, ISO, and other styles

26

Buchanan, J. M., and Y. J. Yoon. "Generalized Increasing Returns, Euler's Theorem, and Competitive Equilibrium." History of Political Economy 31, no. 3 (1999): 511–23. http://dx.doi.org/10.1215/00182702-31-3-511.

Full text

APA, Harvard, Vancouver, ISO, and other styles

27

Grünbaum, Branko, and G. C. Shephard. "A New Look at Euler's Theorem for Polyhedra." American Mathematical Monthly 101, no. 2 (1994): 109–28. http://dx.doi.org/10.1080/00029890.1994.11996917.

Full text

APA, Harvard, Vancouver, ISO, and other styles

28

Gaitanas, Konstantinos. "Euler's Favorite Proof Meets a Theorem of Vantieghem." Mathematics Magazine 90, no. 1 (2017): 70–72. http://dx.doi.org/10.4169/math.mag.90.1.70.

Full text

APA, Harvard, Vancouver, ISO, and other styles

29

Pieper, Herbert. "On Euler's contributions to the four-squares theorem." Historia Mathematica 20, no. 1 (1993): 12–18. http://dx.doi.org/10.1006/hmat.1993.1003.

Full text

APA, Harvard, Vancouver, ISO, and other styles

30

Wang, Mingshen. "Group Theory in Number Theory." Theoretical and Natural Science 5, no. 1 (2023): 9–13. http://dx.doi.org/10.54254/2753-8818/5/20230254.

Full text

Abstract:

The theory of groups exists in many fields of mathematics and has made a great impact on many fields of mathematics. In this article, this paper first introduces the history of group theory and elementary number theory, and then lists the definitions of group, ring, field and the most basic prime and integer and divisor in number theory that need to be used in this article. Then from the definitions, step by step, Euler's theorem, Bzout's lemma, Wilson's theorem and Fermat's Little theorem in elementary number theory are proved by means of definitions of group theory, cyclic groups, and even p

APA, Harvard, Vancouver, ISO, and other styles

31

Yim, Jaehoon, Sanghun Song, and Jiwon Kim. "Mathematically gifted elementary students' revisiting of Euler's polyhedron theorem." Mathematics Enthusiast 5, no. 1 (2008): 125–42. http://dx.doi.org/10.54870/1551-3440.1091.

Full text

APA, Harvard, Vancouver, ISO, and other styles

32

Hilton, Peter, and Jean Pedersen. "Euler's Theorem for Polyhedra: A Topologist and Geometer Respond." American Mathematical Monthly 101, no. 10 (1994): 959. http://dx.doi.org/10.2307/2975162.

Full text

APA, Harvard, Vancouver, ISO, and other styles

33

Ceulemans, A., and P. W. Fowler. "Extension of Euler's theorem to symmetry properties of polyhedra." Nature 353, no. 6339 (1991): 52–54. http://dx.doi.org/10.1038/353052a0.

Full text

APA, Harvard, Vancouver, ISO, and other styles

34

Hilton, Peter, and Jean Pedersen. "Euler's Theorem for Polyhedra: A Topologist and Geometer Respond." American Mathematical Monthly 101, no. 10 (1994): 959–62. http://dx.doi.org/10.1080/00029890.1994.12004575.

Full text

APA, Harvard, Vancouver, ISO, and other styles

35

Frye, Erin K., and Peter L. Glidden. "Illustrating Mathematical Connections: A Geometric Proof of Euler's Theorem." Mathematics Teacher 89, no. 1 (1996): 62–65. http://dx.doi.org/10.5951/mt.89.1.0062.

Full text

Abstract:

The Curriculum and Evaluation Standards for School Mathematics (NCTM 1989) calls for teachers to emphasize mathematical connections, promote mathematical reasoning, and help students become better problem solvers. If teachers are to achieve these goals, they need compelling examples, problems, and theorems that address all these elements.

APA, Harvard, Vancouver, ISO, and other styles

36

Savage, Carla D., та Ae Ja Yee. "Euler's partition theorem and the combinatorics of ℓ-sequences". Journal of Combinatorial Theory, Series A 115, № 6 (2008): 967–96. http://dx.doi.org/10.1016/j.jcta.2007.11.006.

Full text

APA, Harvard, Vancouver, ISO, and other styles

37

K.L, Bajaj. "Exploring Number Theory: From Prime Numbers to Cryptographic Algorithms." Modern Dynamics: Mathematical Progressions 1, no. 3 (2024): 10–14. https://doi.org/10.36676/mdmp.v1.i3.36.

Full text

Abstract:

Number theory, a branch of pure mathematics devoted to the study of integers and integer-valued functions, has profound implications in various fields, particularly in cryptography. This paper delves into the intricate world of number theory, tracing its historical development and highlighting its pivotal role in modern cryptographic algorithms. We begin by exploring fundamental concepts such as prime numbers, greatest common divisors, and modular arithmetic, which form the bedrock of number theory. The significance of prime numbers is underscored by their application in key cryptographic meth

APA, Harvard, Vancouver, ISO, and other styles

38

SOWARD, A. M., and P. H. ROBERTS. "On the derivation of the Navier–Stokes–alpha equations from Hamilton's principle." Journal of Fluid Mechanics 604 (May 14, 2008): 297–323. http://dx.doi.org/10.1017/s0022112008001213.

Full text

Abstract:

We investigate the derivation of Euler's equation from Hamilton's variational principle for flows decomposed into their mean and fluctuating parts. Our particular concern is with the flow decomposition used in the derivation of the Navier–Stokes–α equation which expresses the fluctuating velocity in terms of the mean flow and a small fluctuating displacement. In the past the derivation has retained terms up to second order in the Lagrangian which is then averaged. The variation is effected by incrementing the mean velocity, while holding the moments of the products of the displacements fixed.

APA, Harvard, Vancouver, ISO, and other styles

39

Ballantine, Cristina, and Amanda Welch. "Beck-type companion identities for Franklin's identity." Contributions to Discrete Mathematics 18, no. 1 (2023): 53–65. http://dx.doi.org/10.55016/ojs/cdm.v18i1.72779.

Full text

Abstract:

In 2017, Beck conjectured that the difference in the number of parts in all partitions of $n$ into odd parts and the number of parts in all strict partitions of $n$ is equal to the number of partitions of $n$ whose set of even parts has one element, and also to the number of partitions of $n$ with exactly one part repeated. Andrews proved the conjecture using generating functions. Beck's identity is a companion identity to Euler's identity. The theorem has been generalized (with a combinatorial proof) by Yang to a companion identity to Glaisher's identity. Franklin generalized Glaisher's ident

APA, Harvard, Vancouver, ISO, and other styles

40

Nyirenda, Darlison. "On parity and recurrences for certain partition functions." Contributions to Discrete Mathematics 15, no. 1 (2020): 72–79. http://dx.doi.org/10.55016/ojs/cdm.v15i1.67964.

Full text

Abstract:

In this paper, parity and recurrence formulas for some partition functions are given. In particular, a new recurrence for the number of partitions of a positive integer into distinct parts is derived and some identities reminiscent of Legendre's partition-theoretic interpretation of Euler's pentagonal numbers theorem are obtained.

APA, Harvard, Vancouver, ISO, and other styles

41

Zhu, Peiyu. "Lagrange’s Theorem in Group Theory: Proof and Applications." Highlights in Science, Engineering and Technology 47 (May 11, 2023): 75–78. http://dx.doi.org/10.54097/hset.v47i.8168.

Full text

Abstract:

There are many propositions in group theory, among which Lagrange’s theorem is a representative example and its own meaning can be taken as a generalization of the Euler's theorem resulting from the number theory. Lagrange's theorem can be understood as follows. Suppose that is a group and denotes a subgroup of . This theorem clarify that the order of a subgroup divides that of a group .The conjecture and discovery of Lagrange's theorem has led to the establishment of a unique framework in places such as calculus and statistics, allowing a certain interpretation for some problems. This paper p

APA, Harvard, Vancouver, ISO, and other styles

42

Seetharaman, P. "A Proof of Fermat's Last Theorem using an Euler's Equation." Asian Research Journal of Mathematics 6, no. 3 (2017): 1–24. http://dx.doi.org/10.9734/arjom/2017/36405.

Full text

APA, Harvard, Vancouver, ISO, and other styles

43

Dobbs, David E. "On the smoothness condition in Euler's theorem on homogeneous functions." International Journal of Mathematical Education in Science and Technology 49, no. 8 (2018): 1250–59. http://dx.doi.org/10.1080/0020739x.2018.1452303.

Full text

APA, Harvard, Vancouver, ISO, and other styles

44

Nef, Walter. "A New Look at Euler's Theorem for Polyhedra: A Comment." American Mathematical Monthly 104, no. 2 (1997): 150. http://dx.doi.org/10.2307/2974982.

Full text

APA, Harvard, Vancouver, ISO, and other styles

45

Hill, William D. "Comments on Euler's theorem for homogeneous functions and proofs thereof." Journal of Chemical Education 65, no. 3 (1988): 282. http://dx.doi.org/10.1021/ed065p282.2.

Full text

APA, Harvard, Vancouver, ISO, and other styles

46

Nef, Walter. "A New Look at Euler's Theorem for Polyhedra: A Comment." American Mathematical Monthly 104, no. 2 (1997): 150–51. http://dx.doi.org/10.1080/00029890.1997.11990613.

Full text

APA, Harvard, Vancouver, ISO, and other styles

47

Naskręcki, Bartosz, Mariusz Jaskolski, and Zbigniew Dauter. "The Euler characteristic as a basis for teaching topology concepts to crystallographers." Journal of Applied Crystallography 55, no. 1 (2022): 154–67. http://dx.doi.org/10.1107/s160057672101205x.

Full text

Abstract:

The simple Euler polyhedral formula, expressed as an alternating count of the bounding faces, edges and vertices of any polyhedron, V − E + F = 2, is a fundamental concept in several branches of mathematics. Obviously, it is important in geometry, but it is also well known in topology, where a similar telescoping sum is known as the Euler characteristic χ of any finite space. The value of χ can also be computed for the unit polyhedra (such as the unit cell, the asymmetric unit or Dirichlet domain) which build, in a symmetric fashion, the infinite crystal lattices in all space groups. In this a

APA, Harvard, Vancouver, ISO, and other styles

48

Ceulemans, A., and P. W. Fowler. "Symmetry extensions of Euler's theorem for polyhedral, toroidal and benzenoid molecules." Journal of the Chemical Society, Faraday Transactions 91, no. 18 (1995): 3089. http://dx.doi.org/10.1039/ft9959103089.

Full text

APA, Harvard, Vancouver, ISO, and other styles

49

Adewumi, Michael A. "Comments on "On Euler's theorem for homogeneous functions and proofs thereof"." Journal of Chemical Education 63, no. 7 (1986): 610. http://dx.doi.org/10.1021/ed063p610.

Full text

APA, Harvard, Vancouver, ISO, and other styles

50

Beattie, Bruce R., Matthew T. Holt, and Myles J. Watts. "On the Function Coefficient, Euler's Theorem, and Homogeneity in Production Theory." Review of Agricultural Economics 24, no. 1 (2002): 240–49. http://dx.doi.org/10.1111/1467-9353.00094.

Full text

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!