Invariant (mathematics) (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Invariant (mathematics)" in English language version.

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4doi.org

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3springer.com

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2web.archive.org

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2loc.gov

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2archive.org

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1mathsisfun.com

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1wolfram.com

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1encyclopediaofmath.org

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1ucsb.edu

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1books.google.com

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1wiley.com

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1semanticscholar.org

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1maine.edu

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archive.org

Hofstadter, Douglas R. (1999) [1979], Gödel, Escher, Bach: An Eternal Golden Braid, Basic Books, ISBN 0-465-02656-7 Here: Chapter I.
Judith Cederberg (1989). A Course in Modern Geometries. Springer. p. 174. ISBN 978-1-4757-3831-5.

books.google.com

Barry Simon. Representations of Finite and Compact Groups. American Mathematical Soc. p. 16. ISBN 978-0-8218-7196-6.

doi.org

Douc et al. (2018), p. 99 Douc, Randal; Moulines, Eric; Priouret, Pierre; Soulier, Philippe (2018). Markov Chains. Springer. doi:10.1007/978-3-319-97704-1. ISBN 978-3-319-97703-4.
Klenke (2020), p. 494-495 Klenke, Achim (2020). Probability Theory: A comprehensive course. Universitext. Springer. doi:10.1007/978-1-4471-5361-0. ISBN 978-3-030-56401-8.
Bouajjani, A.; Drǎgoi, C.; Enea, C.; Rezine, A.; Sighireanu, M. (2010). "Invariant Synthesis for Programs Manipulating Lists with Unbounded Data" (PDF). Proc. CAV. doi:10.1007/978-3-642-14295-6_8.
Hoare, C. A. R. (October 1969). "An axiomatic basis for computer programming" (PDF). Communications of the ACM. 12 (10): 576–580. doi:10.1145/363235.363259. S2CID 207726175. Archived from the original (PDF) on 2016-03-04.

encyclopediaofmath.org

"Invariant – Encyclopedia of Mathematics". www.encyclopediaofmath.org. Retrieved 2019-12-05.

loc.gov

lccn.loc.gov

Kay (1969, pp. 219) Kay, David C. (1969), College Geometry, New York: Holt, Rinehart and Winston, LCCN 69-12075
McCoy (1968, p. 183) McCoy, Neal H. (1968), Introduction To Modern Algebra, Revised Edition, Boston: Allyn and Bacon, LCCN 68-15225

maine.edu

spatial.maine.edu

Hoare, C. A. R. (October 1969). "An axiomatic basis for computer programming" (PDF). Communications of the ACM. 12 (10): 576–580. doi:10.1145/363235.363259. S2CID 207726175. Archived from the original (PDF) on 2016-03-04.

mathsisfun.com

"Invariant Definition (Illustrated Mathematics Dictionary)". www.mathsisfun.com. Retrieved 2019-12-05.

semanticscholar.org

api.semanticscholar.org

Hoare, C. A. R. (October 1969). "An axiomatic basis for computer programming" (PDF). Communications of the ACM. 12 (10): 576–580. doi:10.1145/363235.363259. S2CID 207726175. Archived from the original (PDF) on 2016-03-04.

springer.com

link.springer.com

Douc et al. (2018), p. 99 Douc, Randal; Moulines, Eric; Priouret, Pierre; Soulier, Philippe (2018). Markov Chains. Springer. doi:10.1007/978-3-319-97704-1. ISBN 978-3-319-97703-4.
Klenke (2020), p. 494-495 Klenke, Achim (2020). Probability Theory: A comprehensive course. Universitext. Springer. doi:10.1007/978-1-4471-5361-0. ISBN 978-3-030-56401-8.
Bouajjani, A.; Drǎgoi, C.; Enea, C.; Rezine, A.; Sighireanu, M. (2010). "Invariant Synthesis for Programs Manipulating Lists with Unbounded Data" (PDF). Proc. CAV. doi:10.1007/978-3-642-14295-6_8.

ucsb.edu

web.math.ucsb.edu

Qiao, Xiaoyu (January 20, 2015). "Tricolorability.pdf" (PDF). Knot Theory Week 2: Tricolorability. Archived from the original (PDF) on May 25, 2024. Retrieved May 25, 2024.

web.archive.org

Qiao, Xiaoyu (January 20, 2015). "Tricolorability.pdf" (PDF). Knot Theory Week 2: Tricolorability. Archived from the original (PDF) on May 25, 2024. Retrieved May 25, 2024.
Hoare, C. A. R. (October 1969). "An axiomatic basis for computer programming" (PDF). Communications of the ACM. 12 (10): 576–580. doi:10.1145/363235.363259. S2CID 207726175. Archived from the original (PDF) on 2016-03-04.

wiley.com

Billingsley (1995), pp. 313–314 Billingsley, Patrick (1995). Probability and Measure. John Wiley & Sons. ISBN 0-471-00710-2.

wolfram.com

mathworld.wolfram.com

Weisstein, Eric W. "Invariant". mathworld.wolfram.com. Retrieved 2019-12-05.