Relevant bibliographies by topics / Differential calculus

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
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Academic literature on the topic 'Differential calculus'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Differential calculus"

1

Tall, David, A. Avez, and D. Edmunds. "Differential Calculus." Mathematical Gazette 71, no. 455 (1987): 92. http://dx.doi.org/10.2307/3616332.

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Roebuck, D. J., and L. M. MacDonald. "Differential calculus." British Journal of Radiology 68, no. 813 (1995): 1037–38. http://dx.doi.org/10.1259/0007-1285-68-813-1037.

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Sommen, F. "Monogenic differential calculus." Transactions of the American Mathematical Society 326, no. 2 (1991): 613–32. http://dx.doi.org/10.1090/s0002-9947-1991-1012510-6.

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Steinbach, Bernd, and Christian Posthoff. "Boolean Differential Calculus." Synthesis Lectures on Digital Circuits and Systems 12, no. 1 (2017): 1–215. http://dx.doi.org/10.2200/s00766ed1v01y201704dcs052.

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Mott, Richard. "Genetic differential calculus." Nature Genetics 47, no. 9 (2015): 965–66. http://dx.doi.org/10.1038/ng.3384.

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Samborskii, S. N. "Nonsmooth differential calculus." Doklady Mathematics 81, no. 2 (2010): 262–64. http://dx.doi.org/10.1134/s1064562410020274.

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Filippov, A. T., A. P. Isaev, and A. B. Kurdikov. "Paragrassmann differential calculus." Theoretical and Mathematical Physics 94, no. 2 (1993): 150–65. http://dx.doi.org/10.1007/bf01019327.

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Hitzer, Eckhard M. S. "Multivector differential calculus." Advances in Applied Clifford Algebras 12, no. 2 (2002): 135–82. http://dx.doi.org/10.1007/bf03161244.

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Mwinken, Delphin. "The Interconnection Between Calculus of Variations, Partial Differential Equations and Differential Geometry." Selecciones Matemáticas 11, no. 02 (2024): 393–408. https://doi.org/10.17268/sel.mat.2024.02.11.

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Calculus of variations is a fundamental mathematical discipline focused on optimizing functionals, which map sets of functions to real numbers. This field is essential for numerous applications, including the formulation and solution of partial differential equations (PDEs) and the study of differential geometry. In PDEs, calculus of variations provides methods to find functions that minimize energy functionals, leading to solutions of various physical problems. In differential geometry, it helps understand the properties of curves and surfaces, such as geodesics, by minimizing arc-length func
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Jain, Pankaj, Chandrani Basu, and Vivek Panwar. "Reduced $pq$-Differential Transform Method and Applications." Journal of Inequalities and Special Functions 13, no. 1 (2022): 24–40. http://dx.doi.org/10.54379/jiasf-2022-1-3.

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In this paper, Reduced Differential Transform method in the framework of (p, q)-calculus, denoted by Rp,qDT , has been introduced and applied in solving a variety of differential equations such as diffusion equation, 2Dwave equation, K-dV equation, Burgers equations and Ito system. While the diffusion equation has been studied for the special case p = 1, i.e., in the framework of q-calculus, the other equations have not been studied even in q-calculus.
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Dissertations / Theses on the topic "Differential calculus"

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Calisti, Matteo. "Differential calculus in metric measure spaces." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2020. http://amslaurea.unibo.it/21781/.

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L'obbiettivo di questa tesi è la definizione del calcolo differenziale e dell'operatore di Laplace in spazi metrici di misura. Nel primo capitolo vengono introdotte le definizioni e proprietà principali degli spazi metrici di misura mentre nel secondo quelle riguardanti le funzioni lipschitziane e la derivata metrica di curve assolutamente continue. Nel terzo capitolo quindi viene definito il concetto di p-supergradiente debole e di conseguenza la classe di Sobolev S^p. Nel quarto capitolo viene poi studiata la generalizzazione del concetto di differenziale di f applicato al gradiente di g che
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Herlemont, Basile. "Differential calculus on h-deformed spaces." Thesis, Aix-Marseille, 2017. http://www.theses.fr/2017AIXM0377/document.

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L'anneau $\Diff(n)$ des opérateurs différentiels $\h$-déformés apparaît dans la théorie des algèbres de réduction.Dans cette thèse, nous construisons les anneaux des opérateurs différentiels généralisés sur les espaces vectoriels $\h$-déformés de type $\gl$. Contrairement aux espaces vectoriels $q$-déformés pour lequel l'anneau des opérateurs différentiels est unique \`a isomorphisme pr\`es, l'anneau généralisé des opérateurs différentiels $\h$-déformés $\Diffs(n)$ est indexée par une fonction rationnelle $\sigma$ en $n$ variables, solution d'un syst\`eme d\'eg\'en\'er\'e d'\'equations aux dif
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Nguyen, Binh-Khoi. "Pseudo-differential calculus on generalized motion groups." Thesis, Imperial College London, 2016. http://hdl.handle.net/10044/1/44081.

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In recent years, effort has been put into following the ideas of M. Ruzhansky and V. Turunen to construct a global pseudo-differential calculus on Lie groups. By this, we mean a collection of operators containing the left-invariant differential calculus with the additional requirement that it be stable under composition and adjunction. Moreover, we would like these operators to have adequate boundedness properties between Sobolev spaces. Our approach consists in using the group Fourier transform to defne a global, operator-valued symbol, yielding pseudo-differential operators via an analogue o
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Rector, R. Blake. "Generalized Differential Calculus and Applications to Optimization." PDXScholar, 2017. https://pdxscholar.library.pdx.edu/open_access_etds/3627.

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This thesis contains contributions in three areas: the theory of generalized calculus, numerical algorithms for operations research, and applications of optimization to problems in modern electric power systems. A geometric approach is used to advance the theory and tools used for studying generalized notions of derivatives for nonsmooth functions. These advances specifically pertain to methods for calculating subdifferentials and to expanding our understanding of a certain notion of derivative of set-valued maps, called the coderivative, in infinite dimensions. A strong understanding of the s
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Schulze, Bert-Wolfgang. "Pseudo-differential calculus on manifolds with geometric singularities." Universität Potsdam, 2006. http://opus.kobv.de/ubp/volltexte/2009/3020/.

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Differential and pseudo-differential operators on a manifold with (regular) geometric singularities can be studied within a calculus, inspired by the concept of classical pseudo-differential operators on a C1 manifold. In the singular case the operators form an algebra with a principal symbolic hierarchy σ = (σj)0≤j≤k, with k being the order of the singularity and σk operator-valued for k ≥ 1. The symbols determine ellipticity and the nature of parametrices. It is typical in this theory that, similarly as in boundary value problems (which are special edge problems, where the edge is just the b
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Beauchamp, Bradley K. McCrone Sharon Rich Beverly Susan. "Exploring calculus students' understanding of L'Hôpital's Rule." Normal, Ill. : Illinois State University, 2006. http://proquest.umi.com/pqdweb?index=0&did=1273094441&SrchMode=1&sid=3&Fmt=2&VInst=PROD&VType=PQD&RQT=309&VName=PQD&TS=1181240966&clientId=43838.

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Thesis (Ph. D.)--Illinois State University, 2006.<br>Title from title page screen, viewed on June 7, 2007. Dissertation Committee: Dissertation Committee: Sharon S. McCrone, Beverly S. Rich (co-chairs), James F. Cottrill, Lucian L. Ionescu. Includes bibliographical references (leaves 155-159) and abstract. Also available in print.
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Simpson, Arthur Charles. "Numerical methods for the solution of fractional differential equations." Thesis, University of Liverpool, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.250281.

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The fractional calculus is a generalisation of the calculus of Newton and Leibniz. The substitution of fractional differential operators in ordinary differential equations substantially increases their modelling power. Fractional differential operators set exciting new challenges to the computational mathematician because the computational cost of approximating fractional differential operators is of a much higher order than that necessary for approximating the operators of classical calculus. 1. We present a new formulation of the fractional integral. 2. We use this to develop a new method fo
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Wilson, Daniel. "Local time-space calculus with applications." Thesis, University of Manchester, 2018. https://www.research.manchester.ac.uk/portal/en/theses/local-timespace-calculus-with-applications(f04e32e3-4c9b-4348-a7f3-803dee125e43).html.

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Kim, Hwa Kil. "Hamiltonian systems and the calculus of differential forms on the Wasserstein space." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/29720.

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Thesis (Ph.D)--Mathematics, Georgia Institute of Technology, 2009.<br>Committee Chair: Gangbo, Wilfrid; Committee Member: Loss, Michael; Committee Member: Pan, Ronghua; Committee Member: Swiech, Andrzej; Committee Member: Tannenbaum, Allen. Part of the SMARTech Electronic Thesis and Dissertation Collection.
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Kendal, Margaret. "Teaching and learning introductory differential calculus with a computer algebra system /." Connect to thesis, 2001. http://eprints.unimelb.edu.au/archive/00000299.

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Books on the topic "Differential calculus"

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Avez, A. Differential calculus. J. Wiley, 1986.

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Avez, André. Differential calculus. Wiley, 1986.

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Steinbach, Bernd, and Christian Posthoff. Boolean Differential Calculus. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-031-79892-4.

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Ramanan, S. Global calculus. American Mathematical Society, 2005.

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Ashlock, Daniel. Fast Start Differential Calculus. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-031-02420-7.

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Paltineanu, Gavriil, Ileana Bucur, and Mariana Zamfir. Differential Calculus for Engineers. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-2553-5.

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Rohde, Ulrich L., G. C. Jain, Ajay K. Poddar, and A. K. Ghosh. Introduction to Differential Calculus. John Wiley & Sons, Inc., 2011. http://dx.doi.org/10.1002/9781118130155.

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Euler. Foundations of Differential Calculus. Springer New York, 2000. http://dx.doi.org/10.1007/b97699.

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Courant, R., and E. J. McShane. Differential and Integral Calculus. John Wiley & Sons, Inc., 1988. http://dx.doi.org/10.1002/9781118033234.

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Courant, R., and E. J. McShane. Differential and Integral Calculus. John Wiley & Sons, Inc., 1988. http://dx.doi.org/10.1002/9781118033241.

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Book chapters on the topic "Differential calculus"

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Steinbach, Bernd, and Christian Posthoff. "Differentials and Differential Operations." In Boolean Differential Calculus. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-031-79892-4_5.

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Weltner, Klaus, Sebastian John, Wolfgang J. Weber, Peter Schuster, and Jean Grosjean. "Differential Calculus." In Mathematics for Physicists and Engineers. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-54124-7_5.

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Lang, Serge. "Differential Calculus." In Fundamentals of Differential Geometry. Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4612-0541-8_1.

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Koszul, J. L. "Differential Calculus." In Lectures on Fibre Bundles and Differential Geometry. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-662-02503-1_1.

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Holden, K., and A. W. Pearson. "Differential Calculus." In Introductory Mathematics for Economics and Business. Macmillan Education UK, 1992. http://dx.doi.org/10.1007/978-1-349-22357-2_5.

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Grøn, Øyvind, and Arne Næss. "Differential calculus." In Einstein's Theory. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4614-0706-5_2.

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Bogachev, V. I., and O. G. Smolyanov. "Differential calculus." In Springer Monographs in Mathematics. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-57117-1_4.

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Bianchi, Massimo, Roland Allen, Antonio Mondragon, et al. "Differential Calculus." In Concise Encyclopedia of Supersymmetry. Springer Netherlands, 2004. http://dx.doi.org/10.1007/1-4020-4522-0_156.

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Kumaresan, S. "Differential Calculus." In A Course in Differential Geometry and Lie Groups. Hindustan Book Agency, 2002. http://dx.doi.org/10.1007/978-93-86279-08-8_1.

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Waltham, David. "Differential calculus." In Mathematics: A Simple Tool for Geologists. Springer US, 1994. http://dx.doi.org/10.1007/978-1-4899-4479-5_8.

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Conference papers on the topic "Differential calculus"

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Jiménez Suro, Diana Denys, Antonio Jesús Sánchez Hernández, and Rubén Darío Santiago Acosta. "MICRO-LESSONS ON DIFFERENTIAL AND INTEGRAL CALCULUS BY VIRTUAL TEACHERS GENERATED WITH ARTIFICIAL INTELLIGENCE." In 19th International Technology, Education and Development Conference. IATED, 2025. https://doi.org/10.21125/inted.2025.1351.

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Grossfield, Andrew. "Visual differential calculus." In 2014 Zone 1 Conference of the American Society for Engineering Education (ASEE Zone 1). IEEE, 2014. http://dx.doi.org/10.1109/aseezone1.2014.6820660.

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Georgiev, Svetlin Georgiev. "Bi-α Iso-Differential Calculus". У 2020 International Teleconference on the Einstein-Podolsky-Rosen Argument That "Quantum Mechanics is Not a Complete Theory". Curran Associates, Inc., 2021. http://dx.doi.org/10.52202/059404-0008.

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Michalikova, Alzbeta. "The differential calculus on IF sets." In 2009 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, 2009. http://dx.doi.org/10.1109/fuzzy.2009.5277066.

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ABELS, HELMUT. "REDUCED STOKES EQUATIONS AND BOUNDED H∞-CALCULUS." In Proceedings of the International Conference on Differential Equations. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702067_0056.

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Kvassay, Miroslav, Elena Zaitseva, Vitaly Levashenko, and Jozef Kostolny. "Minimal Cut Vectors and Logical Differential Calculus." In 2014 IEEE 44th International Symposium on Multiple-Valued Logic (ISMVL). IEEE, 2014. http://dx.doi.org/10.1109/ismvl.2014.37.

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Kvassay, Miroslav, Patrik Rusnak, and Peter Sedlacek. "Computation of Birnbaum’s Importance Using Logic Differential Calculus." In 2019 42nd International Conference on Telecommunications and Signal Processing (TSP). IEEE, 2019. http://dx.doi.org/10.1109/tsp.2019.8768854.

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Gupta, S., Anandita Bhardwaj, R. Sharma, P. Varshney, and S. Srivastava. "Image Edge Detection using Fractional Order Differential Calculus." In ICVIP 2018: 2018 the 2nd International Conference on Video and Image Processing. ACM, 2018. http://dx.doi.org/10.1145/3301506.3301507.

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Fioresi, Rita, Emanuele Latini, Paolo Aschieri, and Thomas Weber. "Quantum Principal bundle and Non Commutative differential calculus." In Corfu Summer Institute 2021 "School and Workshops on Elementary Particle Physics and Gravity". Sissa Medialab, 2022. http://dx.doi.org/10.22323/1.406.0280.

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Lepellere, Maria Antonietta, Stefano Urbinati, and Nizar Salahi Al Asbahi. "TEACHING MULTIVARIABLE DIFFERENTIAL CALCULUS USING GEOGEBRA AND QUIZZES." In 14th International Technology, Education and Development Conference. IATED, 2020. http://dx.doi.org/10.21125/inted.2020.2474.

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Reports on the topic "Differential calculus"

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Rector, Robert. Generalized Differential Calculus and Applications to Optimization. Portland State University Library, 2000. http://dx.doi.org/10.15760/etd.5519.

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Bradley, Robert E., and Salvatore J. Petrilli, Jr. Servois' 1814 Essay on the Principles of the \\ Differential Calculus \\ With an English Translation. The MAA Mathematical Sciences Digital Library, 2010. http://dx.doi.org/10.4169/loci003483.

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Bradley, Robert E., and Salvatore J. Petrilli. Servois' 1814 Essay on the Principles of the Differential Calculus With an English Translation. The MAA Mathematical Sciences Digital Library, 2010. http://dx.doi.org/10.4169/loci003487.

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Bradley, Robert E., and Salvatore J. Petrilli, Jr. Servois' 1814 Essay on a New Method of Exposition of the Principles of Differential Calculus, with an English Translation. The MAA Mathematical Sciences Digital Library, 2010. http://dx.doi.org/10.4169/loci003597.

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Usmanova, Z. M., S. P. Balandin, and R. G. Zaynullin. Electronic educational and methodological manual on the sections «Linear algebra and analytical geometry, differential calculus of functions of one and several variables» of the discipline «Mathematics». OFERNIO, 2021. http://dx.doi.org/10.12731/ofernio.2021.24887.

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