Relevant bibliographies by topics / Mathematics in physics

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Mathematics in physics'

Author: Grafiati
Published: 4 June 2021
Last updated: 16 February 2022

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Journal articles on the topic "Mathematics in physics"

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Tashpulatovich, Yuldashev Laziz, and Toshpulatova Khushnoza Laziz Qizi. "Mathematics In Physics." American Journal of Social Science and Education Innovations 03, no. 08 (August 31, 2021): 54–58. http://dx.doi.org/10.37547/tajssei/volume03issue08-12.

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This article discusses the major and minor problems in the organization of education and their solutions, the interdisciplinary relationship in the study of physics, in particular, the ideas of mathematics in physics.
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Leach, P. G. L., and M. C. Nucci. "Point and counterpoint between Mathematical Physics and Physical Mathematics." Journal of Physics: Conference Series 237 (June 1, 2010): 012016. http://dx.doi.org/10.1088/1742-6596/237/1/012016.

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Faddeev, L. D., and S. P. Merkureiv. "New Books: Mathematical Physics and Applied Mathematics." Physics Essays 8, no. 2 (June 1995): 266. http://dx.doi.org/10.4006/1.3029190.

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Mahbod, Mohammad. "Physics, Mechanics, Mathematics." JOURNAL OF ADVANCES IN MATHEMATICS 11, no. 4 (September 23, 2015): 5115–66. http://dx.doi.org/10.24297/jam.v11i4.1261.

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Dynamics features movement and stable means. Continuous Stable dynamics thus means continuous movement or motion. That is a moving object which enjoys continuous movement. For example, the electron continuous revolution round the nucleus, the revolution of the moon round the earth and that of the earth round the sun. In this formula, the continuous movement of the moving object round the origin of coordinates in space is studied. Regarding the importance of the angular speed calculation in most of applied sciences such as dynamic mechanics , aerospace , dynamic systems and lock of a relation established in this connection , the need is felt that in order to design and optimize dynamic systems , a reasonable relation should be presented . This paper tries to prove such a relation in the easiest possible way.
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Lax, Peter D. "Mathematics and physics." Bulletin of the American Mathematical Society 45, no. 01 (October 30, 2007): 135–53. http://dx.doi.org/10.1090/s0273-0979-07-01182-2.

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Morowitz, Harold. "Mathematics and physics." Complexity 5, no. 5 (2000): 11. http://dx.doi.org/10.1002/1099-0526(200005/06)5:5<11::aid-cplx2>3.0.co;2-a.

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Rédei, Miklós. "On the Tension Between Physics and Mathematics." Journal for General Philosophy of Science 51, no. 3 (February 4, 2020): 411–25. http://dx.doi.org/10.1007/s10838-019-09496-0.

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Abstract Because of the complex interdependence of physics and mathematics their relation is not free of tensions. The paper looks at how the tension has been perceived and articulated by some physicists, mathematicians and mathematical physicists. Some sources of the tension are identified and it is claimed that the tension is both natural and fruitful for both physics and mathematics. An attempt is made to explain why mathematical precision is typically not welcome in physics.
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Maslov, V. P. "Modern thermodynamics as a branch of mathematics (mathematical physics)." Mathematical Notes 100, no. 3-4 (September 2016): 413–20. http://dx.doi.org/10.1134/s0001434616090078.

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Visser, Matt. "The Utterly Prosaic Connection between Physics and Mathematics." Philosophies 3, no. 4 (September 20, 2018): 25. http://dx.doi.org/10.3390/philosophies3040025.

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Eugene Wigner famously argued for the “unreasonable effectiveness of mathematics” as applied to describing physics and other natural sciences in his 1960 essay. That essay has now led to some 58 years of (sometimes anguished) philosophical soul searching—responses range from “So what? Why do you think we developed mathematics in the first place?”, through to extremely speculative ruminations on the existence of the universe (multiverse) as a purely mathematical entity—the Mathematical Universe Hypothesis. In the current essay I will steer an utterly prosaic middle course: Much of the mathematics we develop is informed by physics questions we are trying to solve; and those physics questions for which the most utilitarian mathematics has successfully been developed are typically those where the best physics progress has been made.
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Safronov, Stanislav Vladimirovich. "My view of mathematics and physics (integration of mathematics into physics)." Interactive science, no. 9 (19) (September 21, 2017): 57–65. http://dx.doi.org/10.21661/r-463694.

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Dissertations / Theses on the topic "Mathematics in physics"

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Murphy, Michael A. "Measuring the Effects of Mathematics Instruction in a Physics Classroom with Mathematics and Physics Diagnostics." Fogler Library, University of Maine, 2005. http://www.library.umaine.edu/theses/pdf/MurphyMA2005.pdf.

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Borrelli, Arianna. "Angular Momentum between Physics and Mathematics." Wissenschaftlicher Verlag Harri Deutsch, 2011. https://slub.qucosa.de/id/qucosa%3A16267.

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Kural, Mehmet Hamdi. "Student Perceptions On Their Physics And Mathematics Teachers." Master's thesis, METU, 2006. http://etd.lib.metu.edu.tr/upload/12608017/index.pdf.

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The purpose of this study was to investigate the high school students&rsquo
perceptions on effectiveness of their physics and mathematics teachers. For this purpose a 71-item questionnaire, with a reliability coefficient of 0.97, was developed and applied to 1237 9th grade students in Ankara. 30 Physics teachers and 33 Mathematics teachers were evaluated by student ratings in 13 regular high schools and 6 Anatolian lycees. As a result, 17 % of physics teachers and 27% of mathematics teachers found to be considered effective by their students. In addition to this, it is found that specific effective teacher characteristics about teaching ability and interpersonal relationships are possessed in low amounts by most of the physics and mathematics teachers.
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Kim, Jae Ill S. M. Massachusetts Institute of Technology. "Graph polynomials and statistical physics." Thesis, Massachusetts Institute of Technology, 2007. http://hdl.handle.net/1721.1/39000.

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Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2007.
Includes bibliographical references (p. 53-54).
We present several graph polynomials, of which the most important one is the Tutte polynomial. These various polynomials have important applications in combinatorics and statistical physics. We generalize the Tutte polynomial and establish its correlations to the other graph polynomials. Finally, our result about the decomposition of planar graphs and its application to the ice-type model is presented.
by Jae Ill Kim.
S.M.
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Wallace, Michelle L. Ellerton Nerida F. "Characterization of high school mathematics and physics language genres." Normal, Ill. : Illinois State University, 2004. http://wwwlib.umi.com/cr/ilstu/fullcit?p3127139.

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Thesis (Ph. D.)--Illinois State University, 2004.
Title from title page screen, viewed Jan. 21, 2005. Dissertation Committee: Nerida F. Ellerton (chair), Sherry L. Meier, Sharon Soucy McCrone, Tami S. Martin. Includes bibliographical references (leaves 153-163) and abstract. Also available in print.
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Minton, Gregory T. (Gregory Thomas). "Computer-assisted proofs in geometry and physics." Thesis, Massachusetts Institute of Technology, 2013. http://hdl.handle.net/1721.1/84405.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Department of Mathematics, 2013.
Cataloged from PDF version of thesis.
Includes bibliographical references.
In this dissertation we apply computer-assisted proof techniques to two problems, one in discrete geometry and one in celestial mechanics. Our main tool is an effective inverse function theorem which shows that, in favorable conditions, the existence of an approximate solution to a system of equations implies the existence of an exact solution nearby. This allows us to leverage approximate computational techniques for finding solutions into rigorous computational techniques for proving the existence of solutions. Our first application is to tight codes in compact spaces, i.e., optimal codes whose optimality follows from linear programming bounds. In particular, we show the existence of many hitherto unknown tight regular simplices in quaternionic projective spaces and in the octonionic projective plane. We also consider regular simplices in real Grassmannians. The second application is to gravitational choreographies, i.e., periodic trajectories of point particles under Newtonian gravity such that all of the particles follow the same curve. Many numerical examples of choreographies, but few existence proofs, were previously known. We present a method for computer-assisted proof of existence and demonstrate its effectiveness by applying it to a wide-ranging set of choreographies.
by Gregory T. Minton.
Ph.D.
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Pollock, Evan B. "Student Understanding of P-V Diagrams and the Associated Mathematics." Fogler Library, University of Maine, 2008. http://www.library.umaine.edu/theses/pdf/PollockEB2008.pdf.

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Morris, Kathryn 1970. "Geometrical physics : mathematics in the natural philosophy of Thomas Hobbes." Thesis, McGill University, 2001. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=37789.

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My thesis examines Thomas Hobbes's attempt to develop a mathematical account of nature. I argue that Hobbes's conception of how we should think quantitatively about the world was deeply indebted to the ideas of his ancient and medieval predecessors. These ideas were often amenable to Hobbes's vision of a demonstrative, geometrically-based science. However, he was forced to adapt the ancient and medieval models to the demands of his own thoroughgoing materialism. This hybrid resulted in a distinctive, if only partially successful, approach to the problems of the new mechanical philosophy.
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Cornell, Brennan. "An introduction to classical gauge theory in mathematics and physics." Thesis, University of Ottawa (Canada), 2008. http://hdl.handle.net/10393/27583.

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We describe some aspects of classical gauge theory from the perspective of connections on vector bundles. We begin by examining classical electromagnetism, and use it to motivate the development of gauge theory on vector bundles. If G is a Lie group, we review some of the theory of vector G-bundles, their associated principal G-bundles, and the related theory of connections. We then discuss the idea of gauge transformations on principal and vector G-bundles, and view electromagnetism as an example of an abelian gauge theory. We briefly review the action principle in order to describe non-abelian gauge theories such as the Yang-Mills equation. Finally, we present the main results from an article by John Baez entitled "Higher Yang-Mills Theory" where he attempts to abstract Yang-Mills theory using some concepts from category theory.
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Szudzik, Matthew P. "Some Applications of Recursive Functionals to the Foundations of Mathematics and Physics." Research Showcase @ CMU, 2010. http://repository.cmu.edu/dissertations/26.

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We consider two applications of recursive functionals. The first application concerns Gödel’s theory T , which provides a rudimentary foundation for the formalization of mathematics. T can be understood as a theory of the simply-typed lambda calculus that is extended to include the constant 0N, the successor function S, and the operator RT for primitive recursion on objects of type T . It is known that the functions from non-negative integers to non-negative integers that can be defined in this theory are exactly the <ε0-recursive functions of non-negative integers. But it is not well-known which functionals of arbitrary type can be defined in T . We show that when the domain and codomain are restricted to pure closed normal forms, the functionals of arbitrary type that are definable in T are exactly those functionals that can be encoded as <ε0-recursive functions of non-negative integers. This result has many interesting consequences, including a new characterization of T . The second application is concerned with the question: “When can a model of a physical system be regarded as computable?” We provide the definition of a computable physical model to answer this question. The connection between our definition and Kreisel’s notion of a mechanistic theory is discussed, and several examples of computable physical models are given, including models which feature discrete motion, a model which features non-discrete continuous motion, and nondeterministic models such as radioactive decay. We show how computable physical models on effective topological spaces can be formulated with recursive functionals in the theory of type-two effectivity (TTE). Various common operations on computable physical models are described, such as the operation of coarse-graining and the formation of statistical ensembles. The definition of a computable physical model also allows for a precise formalization of the computable universe hypothesis— the claim that all the laws of physics are computable.
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Books on the topic "Mathematics in physics"

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Litvinov, G. L., and V. P. Maslov, eds. Idempotent Mathematics and Mathematical Physics. Providence, Rhode Island: American Mathematical Society, 2005. http://dx.doi.org/10.1090/conm/377.

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Richard, Dalven, ed. Math for physics. New York: McGraw-Hill, 1989.

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Choquet-Bruhat, Yvonne. Analysis, manifolds and physics. Amsterdam: Elsevier, 2000.

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Pospiech, Gesche, Marisa Michelini, and Bat-Sheva Eylon, eds. Mathematics in Physics Education. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-04627-9.

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Constructive physics. Hauppauge, N.Y: Nova Science Publishers, 2011.

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Graduate mathematical physics: With MATHEMATICA supplements. Weinheim: Wiley-VCH, 2006.

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Erik, Westwig, ed. Mathematical physics: Applied mathematics for scientists and engineers. New York: Wiley, 1998.

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Iver, Olness Fredrick, ed. Mathematica for physics. 2nd ed. San Francisco: Addison Wesley, 2002.

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Iver, Olness Fredrick, ed. Mathematica for physics. Reading, Mass: Addison-Wesley, 1995.

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Choquet-Bruhat, Yvonne. Analysis, manifolds, and physics.: 92 applications. Amsterdam: North-Holland, 1989.

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Book chapters on the topic "Mathematics in physics"

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Vázquez, Luis. "Applied Mathematics (Mathematical Physics, Discrete Mathematics, Operations Research)." In Encyclopedia of Sciences and Religions, 114–19. Dordrecht: Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-1-4020-8265-8_1248.

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Böhme, S., U. Esser, W. Fricke, H. Hefele, I. Heinrich, W. Hofmann, D. Krahn, V. R. Matas, L. D. Schmadel, and G. Zech. "Applied Mathematics, Physics." In Astronomy and Astrophysics Abstracts, 120–36. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-662-11178-9_5.

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Hendry, Joy. "Physics and Mathematics." In Science and Sustainability, 119–33. New York: Palgrave Macmillan US, 2014. http://dx.doi.org/10.1057/9781137430069_8.

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Burkhardt, G., U. Esser, H. Hefele, Inge Heinrich, W. Hofmann, D. Krahn, V. R. Matas, Lutz D. Schmadel, Roland Wielen, and G. Zech. "Applied Mathematics, Physics." In Literature 1992, Part 1, 109–37. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-662-12379-9_5.

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Böhme, S., U. Esser, H. Hefele, I. Heinrich, W. Hofmann, D. Krahn, V. R. Matas, L. D. Schmadel, and G. Zech. "Applied Mathematics, Physics." In Astronomy and Astrophysics Abstracts, 128–46. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-662-12382-9_5.

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Böhme, S., Walter Fricke, H. Hefele, Inge Heinrich, W. Hofmann, D. Krahn, V. R. Matas, Lutz D. Schmadel, and G. Zech. "Applied Mathematics, Physics." In Literature 1984, Part 2, 112–25. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-662-12346-1_5.

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Böhme, S., U. Esser, W. Fricke, H. Hefele, Inge Heinrich, W. Hofmann, D. Krahn, V. R. Matas, Lutz D. Schmadel, and G. Zech. "Applied Mathematics, Physics." In Literature 1985, Part 1, 127–42. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-662-12352-2_5.

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Wielen, Roland. "Applied Mathematics, Physics." In Astronomy and Astrophysics Abstracts, 120–32. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-662-12355-3_5.

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Böhme, S., U. Esser, H. Hefele, I. Heinrich, W. Hofmann, D. Krahn, V. R. Matas, L. D. Schmadel, and G. Zech. "Applied Mathematics, Physics." In Astronomy and Astrophysics Abstracts, 124–42. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-662-12358-4_5.

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Esser, U., H. Hefele, I. Heinrich, W. Hofmann, D. Krahn, V. R. Matas, L. D. Schmadel, and G. Zech. "Applied Mathematics, Physics." In Literature 1987, Part 2, 110–23. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-662-12361-4_5.

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Conference papers on the topic "Mathematics in physics"

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Ortiz, Eduardo. "The emergence of theoretical physics in Argentina, Mathematics, mathematical physics and theoretical physics, 1900-1950." In Quarks, Strings and the Cosmos - Héctor Rubinstein Memorial Symposium. Trieste, Italy: Sissa Medialab, 2011. http://dx.doi.org/10.22323/1.109.0030.

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Pieranski, Pawel. "Physics, mathematics and liquid crystals." In XIV Conference on Liquid Crystals, Chemistry, Physics, and Applications, edited by Jolanta Rutkowska, Stanislaw J. Klosowicz, and Jerzy Zielinski. SPIE, 2002. http://dx.doi.org/10.1117/12.472149.

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Nahm, Werner, and Jian-min Shen. "INTERFACE BETWEEN PHYSICS AND MATHEMATICS." In International Conference. WORLD SCIENTIFIC, 1994. http://dx.doi.org/10.1142/9789814534864.

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Kotecký, R. "Phase Transitions: Mathematics, Physics, Biology,…" In Conference. WORLD SCIENTIFIC, 1994. http://dx.doi.org/10.1142/9789814535366.

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Chern, S. S., C. W. Chu, and C. S. Ting. "Physics And Mathematics of Anyons." In TCSUH Workshop on Physics and Mathematics of Anyons. WORLD SCIENTIFIC, 1991. http://dx.doi.org/10.1142/9789814538923.

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NE’EMAN, YUVAL. "MATHEMATICS, PHYSICS AND PING-PONG." In Proceedings of the MG10 Meeting held at Brazilian Center for Research in Physics (CBPF). World Scientific Publishing Company, 2006. http://dx.doi.org/10.1142/9789812704030_0002.

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Escande, Paul, Valentin Debarnot, Mauro Maggioni, Thomas Mangeat, and Pierre Weiss. "Learning and Exploiting Physics of Degradations." In Mathematics in Imaging. Washington, D.C.: OSA, 2018. http://dx.doi.org/10.1364/math.2018.mtu2d.4.

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Gupta, Ayush, Edward F. Redish, David Hammer, Leon Hsu, Charles Henderson, and Laura McCullough. "Coordination of Mathematics and Physical Resources by Physics Graduate Students." In 2007 PHYSICS EDUCATION RESEARCH CONFERENCE. AIP, 2007. http://dx.doi.org/10.1063/1.2820906.

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Kirsten, Klaus. "Spectral functions in mathematics and physics." In The second meeting on trends in theoretical physics. AIP, 1999. http://dx.doi.org/10.1063/1.59656.

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DUNNING-DAVIES, JEREMY, and DAVID SANDS. "The Place of Mathematics in Physics." In Unified Field Mechanics: Natural Science Beyond the Veil of Spacetime. WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814719063_0010.

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Reports on the topic "Mathematics in physics"

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Bailey, David H., Jonathan M. Borwein, David Broadhurst, and Wadim Zudilin. Experimental Mathematics and Mathematical Physics. Office of Scientific and Technical Information (OSTI), June 2009. http://dx.doi.org/10.2172/964375.

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Maskewitz, B. F. HISTORY OF THE ENGINEERING PHYSICS AND MATHEMATICS DIVISION 1955-1993. Office of Scientific and Technical Information (OSTI), September 2001. http://dx.doi.org/10.2172/814211.

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Ward, R. Engineering Physics and Mathematics Division progress report for period ending December 31, 1992. Office of Scientific and Technical Information (OSTI), May 1993. http://dx.doi.org/10.2172/6326784.

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Sincovec, R. F. Engineering Physics and Mathematics Division progress report for period ending December 31, 1994. Office of Scientific and Technical Information (OSTI), July 1995. http://dx.doi.org/10.2172/102446.

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Chakraborty, Srijani. Promises and Challenges of Systems Biology. Nature Library, October 2020. http://dx.doi.org/10.47496/nl.blog.09.

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Modern systems biology is essentially interdisciplinary, tying molecular biology, the omics, bioinformatics and non-biological disciplines like computer science, engineering, physics, and mathematics together.
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Lewis, Jennifer. Conference on Non-linear Phenomena in Mathematical Physics: Dedicated to Cathleen Synge Morawetz on her 85th Birthday. The Fields Institute, Toronto, Canada September 18-20, 2008. Sponsors: Association for Women in Mathematics, Inc. and The Fields Institute. Office of Scientific and Technical Information (OSTI), October 2012. http://dx.doi.org/10.2172/1053818.

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Semtner, A. J. Jr, and R. M. Chervin. Scientific development of a massively parallel ocean climate model. Progress report for 1992--1993 and Continuing request for 1993--1994 to CHAMMP (Computer Hardware, Advanced Mathematics, and Model Physics). Office of Scientific and Technical Information (OSTI), May 1993. http://dx.doi.org/10.2172/10172976.

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Hyman, J., W. Beyer, J. Louck, and N. Metropolis. Development of the applied mathematics originating from the group theory of physical and mathematical problems. Office of Scientific and Technical Information (OSTI), July 1996. http://dx.doi.org/10.2172/257450.

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Chen, W. Y. C., and J. D. Louck. Combinatorics, geometry, and mathematical physics. Office of Scientific and Technical Information (OSTI), November 1998. http://dx.doi.org/10.2172/674871.

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Sternberg, Natalia. Mathematical Modelling in Plasma Physics. Fort Belvoir, VA: Defense Technical Information Center, September 1994. http://dx.doi.org/10.21236/ada294972.

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