@book(cutland, author = {Leif O. Arkeryd and Nigel J. Cutland and C. Ward Henson (Eds.)}, year = {1997}, title = {Nonstandard Analysis: Theory and Applications}, edition = {1st}, series = {Nato Science Series C: 493}, publisher = {Springer Netherlands}, doi = {10.1007/978-94-011-5544-1}, ) @book(boyd, author = {Stephen Boyd and Lieven Vandenberghe}, year = {2004}, title = {Convex Optimization}, publisher = {Cambridge University Press}, doi = {10.1017/CBO9780511804441}, ) @incollection(Gamboa2000, author = {Ruben Gamboa}, year = {2000}, title = {Continuity and Differentiability}, editor = {Matt Kaufmann and Panagiotis Manolios and J. Strother Moore}, booktitle = {Computer-Aided Reasoning: ACL2 Case Studies}, publisher = {Springer US}, address = {Boston, MA}, pages = {301--315}, doi = {10.1007/978-1-4757-3188-0_18}, ) @article(Gamboa2001, author = {Ruben A. Gamboa and Matt Kaufmann}, year = {2001}, title = {Nonstandard Analysis in ACL2}, journal = {Journal of Automated Reasoning}, volume = {27}, number = {4}, pages = {323--351}, doi = {10.1023/A:1011908113514}, ) @inproceedings(harrison2007, author = {John Harrison}, year = {2007}, title = {Formalizing Basic Complex Analysis}, editor = {R. Matuszewski and A. Zalewska}, booktitle = {From Insight to Proof: Festschrift in Honour of Andrzej Trybulec}, series = {Studies in Logic, Grammar and Rhetoric}, volume = {10(23)}, publisher = {University of Bia{\l}ystok}, pages = {151--165}, url = {http://mizar.org/trybulec65/}, ) @book(jacob, author = {Nathan Jacobson}, year = {1985}, title = {Basic Algebra I}, edition = {2nd}, publisher = {Dover Publications}, ) @incollection(Kaufmann2000, author = {Matt Kaufmann}, year = {2000}, title = {Modular Proof: The Fundamental Theorem of Calculus}, editor = {Matt Kaufmann and Panagiotis Manolios and J. Strother Moore}, booktitle = {Computer-Aided Reasoning: ACL2 Case Studies}, publisher = {Springer US}, address = {Boston, MA}, pages = {75--91}, doi = {10.1007/978-1-4757-3188-0_6}, ) @conference(Kwan2018-cs, author = {Carl Kwan and Mark R. Greenstreet}, year = {2018}, title = {Real Vector Spaces and the Cauchy-Schwarz Inequality in ACL2(r)}, booktitle = {{\rm Proceedings 15th International Workshop on the} ACL2 Theorem Prover and its Applications, {\rm Austin, Texas, USA, November 5-6, 2018}}, series = {this volume of EPTCS}, publisher = {Open Publishing Association}, ) @book(lang, author = {Serge Lang}, year = {2002}, title = {Algebra}, edition = {3rd}, series = {Graduate Texts in Mathematics 211}, publisher = {Springer-Verlag New York}, doi = {10.1007/978-1-4613-0041-0}, ) @book(loeb, author = {Peter A. Loeb and Manfred P. H. Wolff}, year = {2015}, title = {Nonstandard Analysis for the Working Mathematician}, edition = {2nd}, publisher = {Springer Netherlands}, doi = {10.1007/978-94-017-7327-0}, ) @book(Nesterov2004, author = {Yurii Nesterov}, year = {2004}, title = {Introductory Lectures on Convex Optimization}, edition = {1st}, series = {Applied Optimization 87}, publisher = {Springer US}, doi = {10.1007/978-1-4419-8853-9}, ) @book(robinson, author = {Abraham Robinson}, year = {1966}, title = {Non-Standard Analysis}, publisher = {North-Holland Publishing Company}, ) @book(roman, author = {Steven Roman}, year = {2008}, title = {Advanced Linear Algebra}, edition = {3rd}, series = {Graduate Texts in Mathematics 135}, publisher = {Springer-Verlag New York}, doi = {10.1007/978-0-387-72831-5}, ) @book(babyrudin, author = {Walter Rudin}, year = {1976}, title = {Principles of Mathematical Analysis}, edition = {3rd}, series = {International Series in Pure and Applied Mathematics}, publisher = {McGraw-Hill}, ) @book(shilov, author = {Georgi E. Shilov}, year = {1977}, title = {Linear Algebra}, publisher = {Dover Publications}, )