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== References == {{refbegin|30em}} * {{citation | last = Apostol | first = Tom M. | author-link = Tom M. Apostol | date = June 1967 | title = Calculus, Vol. 1: One-Variable Calculus with an Introduction to Linear Algebra | publisher = Wiley | edition = 2nd | volume = 1 | isbn = 978-0-471-00005-1 | url-access = registration | url = https://archive.org/details/calculus01apos }} * {{citation | last = Azegami | first = Hideyuki | year = 2020 | title = Shape Optimization Problems | series = Springer Optimization and Its Applications | volume = 164 | publisher = Springer | url = https://books.google.com/books?id=e08AEAAAQBAJ | doi = 10.1007/978-981-15-7618-8 | isbn = 978-981-15-7618-8 | s2cid = 226442409 }} * {{citation | last = Banach |first = Stefan | author-link = Stefan Banach | title = Uber die Baire'sche Kategorie gewisser Funktionenmengen | journal = Studia Math. | volume = 3 | issue = 3 | year = 1931 | pages = 174–179 | doi = 10.4064/sm-3-1-174-179 | postscript = . | url = https://scholar.google.com/scholar?output=instlink&q=info:SkKdCEmUd6QJ:scholar.google.com/&hl=en&as_sdt=0,50&scillfp=3432975470163241186&oi=lle | doi-access = free}} * {{cite journal | last = Barbeau | first = E. J. | title = Remarks on an arithmetic derivative | journal = [[Canadian Mathematical Bulletin]] | volume = 4 | year = 1961 | issue = 2 | pages = 117–122 | doi = 10.4153/CMB-1961-013-0 | zbl = 0101.03702 | doi-access = free }} * {{citation | last = Bhardwaj | first = R. S. | year = 2005 | title = Mathematics for Economics & Business | edition = 2nd | publisher = Excel Books India | isbn = 9788174464507 }} * {{citation | last = Cajori | first = Florian | author-link = Florian Cajori | year = 1923 | title = The History of Notations of the Calculus | journal = Annals of Mathematics | volume = 25 | issue = 1 | pages = 1–46 | doi = 10.2307/1967725 | jstor = 1967725 | hdl = 2027/mdp.39015017345896 | hdl-access = free }} * {{citation | last = Cajori | first = Florian | title = A History of Mathematical Notations | year = 2007 | url = https://books.google.com/books?id=RUz1Us2UDh4C&pg=PA204 | volume = 2 | publisher = Cosimo Classics | isbn = 978-1-60206-713-4 }} * {{citation | last = Carothers | first = N. L. | year = 2000 | title = Real Analysis | publisher = Cambridge University Press }} * {{citation | last1 = Choudary | first1 = A. D. R. | last2 = Niculescu | first2 = Constantin P. | year = 2014 | title = Real Analysis on Intervals | publisher = Springer India | doi = 10.1007/978-81-322-2148-7 | isbn = 978-81-322-2148-7 }} * {{citation | last = Christopher | first = Essex | year = 2013 | title = Calculus: A complete course | page = 682 | publisher = Pearson | isbn = 9780321781079 | oclc = 872345701 }} * {{citation | last1 = Courant | first1 = Richard | author-link1 = Richard Courant | last2 = John | first2 = Fritz | author-link2 = Fritz John | date = December 22, 1998 | title = Introduction to Calculus and Analysis, Vol. 1 | publisher = [[Springer-Verlag]] | isbn = 978-3-540-65058-4 | doi = 10.1007/978-1-4613-8955-2 }} * {{citation | last = David | first = Claire | year = 2018 | title = Bypassing dynamical systems: A simple way to get the box-counting dimension of the graph of the Weierstrass function | journal = Proceedings of the International Geometry Center | publisher = Academy of Sciences of Ukraine | volume = 11 | issue = 2 | pages = 53–68 | doi = 10.15673/tmgc.v11i2.1028 | doi-access = free | arxiv = 1711.10349 }} * {{citation | last = Davvaz | first = Bijan | year = 2023 | title = Vectors and Functions of Several Variables | publisher = Springer | doi = 10.1007/978-981-99-2935-1 | isbn = 978-981-99-2935-1 | s2cid = 259885793 }} * {{citation | last1 = Debnath | first1 = Lokenath | last2 = Shah | first2 = Firdous Ahmad | year = 2015 | title = Wavelet Transforms and Their Applications | edition = 2nd | publisher = Birkhäuser | url = https://books.google.com/books?id=qPuWBQAAQBAJ | doi = 10.1007/978-0-8176-8418-1 | isbn = 978-0-8176-8418-1 }} * {{citation | last = Evans | first = Lawrence | author-link = Lawrence Evans | title = Partial Differential Equations | publisher = American Mathematical Society | year = 1999 | isbn = 0-8218-0772-2 }} * {{citation | last = Eves | first = Howard | date = January 2, 1990 | title = An Introduction to the History of Mathematics | edition = 6th | publisher = Brooks Cole | isbn = 978-0-03-029558-4 }} * {{citation | last = Funaro | first = Daniele | year = 1992 | title = Polynomial Approximation of Differential Equations | series = Lecture Notes in Physics Monographs | volume = 8 | publisher = Springer | url = https://books.google.com/books?id=CX4SXf3mdeUC | doi = 10.1007/978-3-540-46783-0 | isbn = 978-3-540-46783-0 }} * {{citation | last = Gbur | first = Greg | author-link = Greg Gbur | year = 2011 | title = Mathematical Methods for Optical Physics and Engineering | publisher = Cambridge University Press | bibcode = 2011mmop.book.....G | isbn = 978-1-139-49269-0 }} * {{citation | last = Georgiev | first = Svetlin G. | year = 2018 | title = Fractional Dynamic Calculus and Fractional Dynamic Equations on Time Scales | url = https://books.google.com/books?id=OJJVDwAAQBAJ | publisher = Springer | doi = 10.1007/978-3-319-73954-0 | isbn = 978-3-319-73954-0 }} * {{citation | last = Goodman | first = A. W. | year = 1963 | title = Analytic Geometry and the Calculus | publisher = The MacMillan Company | url = https://books.google.com/books?id=v7i2YJJg_gcC }} * {{citation | last = Gonick | first = Larry | author-link = Larry Gonick | year = 2012 | title = The Cartoon Guide to Calculus | publisher = William Morrow | url = https://www.larrygonick.com/titles/science/cartoon-guide-to-calculus-2/ | isbn = 978-0-06-168909-3 }} * {{citation | last1 = Gray | first1 = Alfred | last2 = Abbena | first2 = Elsa | last3 = Salamon | first3 = Simon | year = 2006 | title = Modern Differential Geometry of Curves and Surfaces with Mathematica | publisher = CRC Press | isbn = 978-1-58488-448-4 | url = https://books.google.com/books?id=owEj9TMYo7IC }} * {{citation | last = Guzman | first = Alberto | year = 2003 | title = Derivatives and Integrals of Multivariable Functions | url = https://books.google.com/books?id=aI_qBwAAQBAJ | publisher = Springer | doi = 10.1007/978-1-4612-0035-2 | isbn = 978-1-4612-0035-2 }} * {{citation | last1 = Henle | first1 = James M. | last2 = Kleinberg | first2 = Eugene M. | year = 2003 | title = Infinitesimal Calculus | publisher = Dover Publications | isbn = 978-0-486-42886-4 }} * {{citation | last1 = Hewitt | first1 = Edwin | author-link1 = Edwin Hewitt | last2 = Stromberg | first2 = Karl R. | title = Real and abstract analysis | publisher = Springer-Verlag | year = 1965 | pages = Theorem 17.8 | doi = 10.1007/978-3-662-29794-0 | isbn = 978-3-662-28275-5 | no-pp = true }} * {{citation | last = Jašek | first = Martin | year = 1922 | url = http://dml.cz/bitstream/handle/10338.dmlcz/121916/CasPestMatFys_051-1922-2_2.pdf | title = Funkce Bolzanova | journal = Časopis pro Pěstování Matematiky a Fyziky | volume = 51 | issue = 2 | pages = 69–76 | doi = 10.21136/CPMF.1922.121916 | lang = cs }} * {{citation | last = Jarník | first = Vojtěch | authorlink = Vojtěch Jarník | year = 1922 | title = O funkci Bolzanově | journal = Časopis pro Pěstování Matematiky a Fyziky | volume = 51 | issue = 4 | pages = 248–264 | doi = 10.21136/CPMF.1922.109021 | lang = cs | url = http://dml.cz/bitstream/handle/10338.dmlcz/109021/CasPestMatFys_051-1922-4_5.pdf}}. See the English version [http://dml.cz/bitstream/handle/10338.dmlcz/400073/Bolzano_15-1981-1_6.pdf here]. * {{citation | last = Keisler | first = H. Jerome | year = 2012 | orig-year = 1986 | publisher = Prindle, Weber & Schmidt | edition = 2nd | title = Elementary Calculus: An Approach Using Infinitesimals | isbn = 978-0-871-50911-6 | url = http://www.math.wisc.edu/~keisler/calc.html }} * {{citation | last = Kolchin | first = Ellis | title = Differential Algebra And Algebraic Groups | year = 1973 | url = https://books.google.com/books?id=yDCfhIjka-8C | publisher = Academic Press | isbn = 978-0-08-087369-5 }} * {{citation | last = Kreyszig | first = Erwin | title = Differential Geometry | publisher = [[Dover Publications|Dover]] | year = 1991 | isbn = 0-486-66721-9 | location = New York }} * {{citation | last1 = Larson | first1 = Ron | last2 = Hostetler | first2 = Robert P. | last3 = Edwards | first3 = Bruce H. | date = February 28, 2006 | title = Calculus: Early Transcendental Functions | edition = 4th | publisher = Houghton Mifflin Company | isbn = 978-0-618-60624-5 }} * {{citation | last = Lee | first = John M. | title = Introduction to Smooth Manifolds | series = Graduate Texts in Mathematics | year = 2013 | volume = 218 | publisher = Springer | doi = 10.1007/978-0-387-21752-9 | isbn = 978-0-387-21752-9 }} * {{citation | last1 = Mathai | first1 = A. M. | last2 = Haubold | first2 = H. J. | year = 2017 | title = Fractional and Multivariable Calculus: Model Building and Optimization Problems | url = https://books.google.com/books?id=v20uDwAAQBAJ | publisher = Springer | doi = 10.1007/978-3-319-59993-9 | isbn = 978-3-319-59993-9 }} * {{citation | last1 = Moore | first1 = Will H. | last2 = Siegel | first2 = David A. | year = 2013 | title = A Mathematical Course for Political and Social Research | publisher = Princeton University Press | url = https://books.google.com/books?id=emmYDwAAQBAJ | isbn = 978-0-691-15995-9 }} * {{citation | last = Roussos | first = Ioannis M. | title = Improper Riemann Integral | year = 2014 | publisher = [[CRC Press]] | url = https://books.google.com/books?id=nX1cAgAAQBAJ | isbn = 978-1-4665-8807-3 }} * {{citation | last = Rychlík | first = Karel | year = 1923 | title = Über eine Funktion aus Bolzanos handschriftlichem Nachlasse }} * {{citation | last = Schwartzman | first = Steven | year = 1994 | title = The Words of Mathematics: An Etymological Dictionary of Mathematical Terms Used in English | publisher = Mathematical Association of American | isbn = 9781614445012 | url = https://books.google.com/books?id=PsH2DwAAQBAJ }} * {{citation | last = Silverman | first = Richard A. | year = 1989 | title = Essential Calculus: With Applications | publisher = Courier Corporation | isbn = 9780486660974 }} * {{citation | last = Stewart | first = James | author-link = James Stewart (mathematician) | date = December 24, 2002 | title = Calculus | publisher = Brooks Cole | edition = 5th | isbn = 978-0-534-39339-7 | url-access = registration | url = https://archive.org/details/calculus0000stew }} * {{citation | last1 = Strang | first1 = Gilbert | author-link1 = Gilbert Strang | display-authors = etal | title = Calculus, volume 1 | publisher = OpenStax | year = 2023 | isbn = 978-1-947172-13-5 | url = https://openstax.org/details/books/calculus-volume-1 | ref = {{sfnref|Strang et al.|2023}} }} *{{cite book | url = https://ia804708.us.archive.org/28/items/calculus.13th.edition-george.b.thomas/calculus.13th.edition-george.b.thomas.pdf | title = Thomas's Calculus | first1 = George B. Jr. | last1 = Thomas | authorlink1 = George B. Thomas | first2 = Maurice D. | last2 = Weir | first3 = Joel | last3 = Hass | authorlink3 = Joel Hass | edition = Thirteenth | year = 2014 | isbn = 978-0-321-87896-0 | publisher = [[Pearson PLC]] | access-date = September 9, 2024 | ref = {{sfnref|Thomas et al.|2014}} }} * {{citation | last = Thompson | first = Silvanus P. | author-link = Silvanus P. Thompson | date = September 8, 1998 | title = [[Calculus Made Easy]] | edition = Revised, Updated, Expanded | place = New York | publisher = St. Martin's Press | isbn = 978-0-312-18548-0 }} * {{citation | last1 = Varberg | first1 = Dale E. | last2 = Purcell | first2 = Edwin J. | last3 = Rigdon | first3 = Steven E. | title = Calculus | year = 2007 | publisher = [[Pearson Prentice Hall]] | edition = 9th | isbn = 978-0131469686 }} * {{citation | last = Warner | first = Frank W. | author-link = Frank Wilson Warner | year = 1983 | title = Foundations of Differentiable Manifolds and Lie Groups | publisher = Springer | isbn = 978-0-387-90894-6 | url = https://books.google.com/books?id=t6PNrjnfhuIC }} {{refend}}
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