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MILAN KRBALEK
Actual tasks: vehicular headway modelling, balanced particle systems, super-random states of one-dimensional systems, new random matrix ensembles and their connection to vehicular dynamics, statistical rigidity and compressibility of particle ensembles, totally asymmetric simple exclusion process, stochastic gases with short/middle-ranged interactions, dynamics of pedestrian and vehicularMILAN KRBALEK
Favorite Records: Sting: The Last Ship, A&M Records 2013, Zaz: Paris, Warner Music France 2014, Dan B árta & Illustratosphere: Maratonika, Taita Publishers 2013, Mike and The Mechanics: Word on Mouth, Virgin Records 1991, Amy Winehouse: Back to Black, Universal Island Records 2006, Bryan Adams: MTV Unplugged, A&M Records 1997, Genesis: Live over Europe, Virgin Records 20 07, Peter Gabriel: So KM-PRN-108-20200601134719 KM-PRN-108-20200601134719. Title. KM-PRN-108-20200601134719. Created Date. 6/1/2020 1:47:19 PM. PACIFIC RAILROAD ADVENTURE If you're interested in the visual history of the many cities across the United States of America, and you're curious about the phenomenon that was the transcontinental railroad, then look no further. MILAN KRBALEK FOR FNSPE STUDENTSTRANSLATE THIS PAGE Náplní předmětu Matematická analýza B4 je zejména teorie funkce více proměnných. Na úvod jsou zavedeny základní topologické pojmy (limita a spojitost) a rovněž výchozí pojmy diferenciálního počtu, mezi něž řadíme parciální a směrovou parciální derivaci, totální diferenciál a ZÁPOČTOVÁ TABULKA K PŘEDMĚTU 01MAB4 ‐ 2. ROČNÍK 70 Sloup Vladislav EJČF Škardová 2 02816 22,5 22 89 ano C 1 / 6 71 Sorger Sara IF Škardová 2 42725 24 12,5 93 ano C 1 / 6 72 Strnad David DAIZ 2019/2020 00081 2019/2020 D 1 / 6 73 Strnad Marek EJČF Škardová 2 22312 23 17,5 78 ano D 1 / 6 74 Studenovský Štěpán AMSM Kolář 31531 23 13 85 ano C 1 / 6 75 Svatoňová Kristýna AMSM Kolář 30 22,5 30 18,5 101 ano B 1 / 6 76 Šébl FOUNDATIONS OF TRAFFIC FLOW THEORY I: GREENSHIELDS’ LEGACY 1 Foundations of Traffic Flow Theory I: Greenshields’ Legacy – Highway Traffic Prof. Dr. Reinhart D. Kühne German Aerospace Center, Transportation Studies, Berlin, Germany KM-PRN-108-20200610092809 — vv//mc (3 -O 2d— 4mku X x Q CÐ(3x) muni b poi/" 2/df du R b) d) la(.L ona ale u nun k dehvaå ãbj/ml (0 70QŽe T. Xuiuóßk)/4--/opis 90////em)
THE STATISTICAL PROPERTIES OF THE CITY TRANSPORT IN L234 Letter to the Editor References HaakeF1992 Quantum Signatures of Chaos (Berlin:Springer) MelloPAandBarangerHU1995 Physica A220 15 MelloPA,PereyraPandSeligmanTH1985 Ann. Phys., NY 161 254 MehtaK1991 Random Matrices (NewYork:Academic) PechukasP1983 Phys. Rev. Lett. 51 943 YukawaT1985 Phys. Rev. Lett. 54 1883 O’LoanOJ,EvansMRandCatesME1998 Phys. Rev. E58 MILAN KRBALEK (OFFICIAL WEB-PRESENTATION) Initials: Doc. Mgr. Milan KRB ÁLEK, Ph.D. Grade: Associate Professor Profession: Mathematician Born: April 13, 1971 (Czech Republic) Postal Address: Trojanova 13, 120 00 Praha 2 Private Address: Pardubice, Zelené Předměstí Educational Attainment: Master Degree (UHK Hradec Kr álové, 1999), Doctoral Degree (FNSPE Prague, 2003), Associate Professor in Applied MathematicsMILAN KRBALEK
Actual tasks: vehicular headway modelling, balanced particle systems, super-random states of one-dimensional systems, new random matrix ensembles and their connection to vehicular dynamics, statistical rigidity and compressibility of particle ensembles, totally asymmetric simple exclusion process, stochastic gases with short/middle-ranged interactions, dynamics of pedestrian and vehicularMILAN KRBALEK
Favorite Records: Sting: The Last Ship, A&M Records 2013, Zaz: Paris, Warner Music France 2014, Dan B árta & Illustratosphere: Maratonika, Taita Publishers 2013, Mike and The Mechanics: Word on Mouth, Virgin Records 1991, Amy Winehouse: Back to Black, Universal Island Records 2006, Bryan Adams: MTV Unplugged, A&M Records 1997, Genesis: Live over Europe, Virgin Records 20 07, Peter Gabriel: So KM-PRN-108-20200601134719 KM-PRN-108-20200601134719. Title. KM-PRN-108-20200601134719. Created Date. 6/1/2020 1:47:19 PM. PACIFIC RAILROAD ADVENTURE If you're interested in the visual history of the many cities across the United States of America, and you're curious about the phenomenon that was the transcontinental railroad, then look no further. MILAN KRBALEK FOR FNSPE STUDENTSTRANSLATE THIS PAGE Náplní předmětu Matematická analýza B4 je zejména teorie funkce více proměnných. Na úvod jsou zavedeny základní topologické pojmy (limita a spojitost) a rovněž výchozí pojmy diferenciálního počtu, mezi něž řadíme parciální a směrovou parciální derivaci, totální diferenciál a ZÁPOČTOVÁ TABULKA K PŘEDMĚTU 01MAB4 ‐ 2. ROČNÍK 70 Sloup Vladislav EJČF Škardová 2 02816 22,5 22 89 ano C 1 / 6 71 Sorger Sara IF Škardová 2 42725 24 12,5 93 ano C 1 / 6 72 Strnad David DAIZ 2019/2020 00081 2019/2020 D 1 / 6 73 Strnad Marek EJČF Škardová 2 22312 23 17,5 78 ano D 1 / 6 74 Studenovský Štěpán AMSM Kolář 31531 23 13 85 ano C 1 / 6 75 Svatoňová Kristýna AMSM Kolář 30 22,5 30 18,5 101 ano B 1 / 6 76 Šébl FOUNDATIONS OF TRAFFIC FLOW THEORY I: GREENSHIELDS’ LEGACY 1 Foundations of Traffic Flow Theory I: Greenshields’ Legacy – Highway Traffic Prof. Dr. Reinhart D. Kühne German Aerospace Center, Transportation Studies, Berlin, Germany KM-PRN-108-20200610092809 — vv//mc (3 -O 2d— 4mku X x Q CÐ(3x) muni b poi/" 2/df du R b) d) la(.L ona ale u nun k dehvaå ãbj/ml (0 70QŽe T. Xuiuóßk)/4--/opis 90////em)
THE STATISTICAL PROPERTIES OF THE CITY TRANSPORT IN L234 Letter to the Editor References HaakeF1992 Quantum Signatures of Chaos (Berlin:Springer) MelloPAandBarangerHU1995 Physica A220 15 MelloPA,PereyraPandSeligmanTH1985 Ann. Phys., NY 161 254 MehtaK1991 Random Matrices (NewYork:Academic) PechukasP1983 Phys. Rev. Lett. 51 943 YukawaT1985 Phys. Rev. Lett. 54 1883 O’LoanOJ,EvansMRandCatesME1998 Phys. Rev. E58 MILAN KRBALEK FOR FNSPE STUDENTSTRANSLATE THIS PAGE Aktuální vědecké výsledky a hodnocení: viz zde Populárn í článek o matematice davu: M. Krb álek, Chůze v davu: impulzy bez doteku, Vesmír 9 (2019) 500-502; Rozhovor pro DVTV: Milan Krb álek in DVTV (Interview with Emma Smetana) Historie vědecké oblasti VHM (Vehicular Headway Modeling) zahrnující citace na práce M. Krbálka: Headway Modelling Survey: Li, L., Chen, X.M., 2017.MILAN KRBALEK
2020 — Quil da (follow this link to see the photogallery) 2019 — Amsterdam (photogallery here to view) 2019 — Rovinj (several photos can be viewed here) 2019 — Kvilda/Šumava (photogallery here to disposal) 2019 — Adršpach: Teplicko-Ad ršpašské skály (photodiary available here) 2019 — UNDERSTANDING ANOMALOUS STOCHASTIC STATES IN VEHICULAR 2 M. Krbalek at. al. /EWGT 2021 Fig. 1. Classification of states in stochastic systems accor ding to the statistical rigidity. g(x) = λΘ(x)e−λx, where Θ(x) is Heaviside unit-step function.For a scaled variant of such systems, when estimated PACIFIC RAILROAD ADVENTURE If you're interested in the visual history of the many cities across the United States of America, and you're curious about the phenomenon that was the transcontinental railroad, then look no further. DISTANCE- AND TIME-HEADWAY DISTRIBUTION FOR TOTALLY 408 Pavel Hrabák and Milan Krbálek / Procedia Social and Behavioral Sciences 20 (2011) 406–416 time-headway) between succeeding cars can be satisfactorily approximated by the one-parametric family of functions () ()exp t WTtAt Bt E, (1) where the symbol T()t corresponds to the Heaviside step-function, and two constants 3exp MILAN KRBALEK FOR FNSPE STUDENTSTRANSLATE THIS PAGE Náplní předmětu Matematická analýza B4 je zejména teorie funkce více proměnných. Na úvod jsou zavedeny základní topologické pojmy (limita a spojitost) a rovněž výchozí pojmy diferenciálního počtu, mezi něž řadíme parciální a směrovou parciální derivaci, totální diferenciál a MILAN KRBALEK FOR FNSPE STUDENTSTRANSLATE THIS PAGE Náplní předmětu 01MAB3 - Matematická analýza B 3. je na úvod semestru studium funkčních posloupností a funkčních řad s akcentem na řady mocninné a jejich konvergenci.. V další části zimního semestru je probírána teorie obyčejných diferenciálních rovnic, na níž navazuje studium kvadratických ploch. . Základní pojmy teorie metrických, normovaných a Hilbertových VEHICULAR HEADWAYS ON SIGNALIZED INTERSECTIONS: THEORY Vehicular headways on signalized intersections: theory, models, and reality Milan Krbálek and Jiří Šleis Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in THEORETICAL PREDICTIONS FOR VEHICULAR HEADWAYS AND THEIR J.Phys.A:Math.Theor.46 (2013)445101 MKrb´alek 0 10 20 30 40 50 60 70 80 90 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 Traffic Density ρ Mean Velocity w [s −1 KM-PRN-108-20201215112532 —2nd 2/1/ t)/// |20ŽaJ O 3,Q+J 1/ 44/e / Tka/Q k/esd ) (9- (3/1- it)!!' 37 t 3 . nqf(X) tmf(x) a(k) -- Cniu(x) — — d u" x) - 3 mg(x) 3 nig (X) — ((-atž) MILAN KRBALEK (OFFICIAL WEB-PRESENTATION) Initials: Doc. Mgr. Milan KRB ÁLEK, Ph.D. Grade: Associate Professor Profession: Mathematician Born: April 13, 1971 (Czech Republic) Postal Address: Trojanova 13, 120 00 Praha 2 Private Address: Pardubice, Zelené Předměstí Educational Attainment: Master Degree (UHK Hradec Kr álové, 1999), Doctoral Degree (FNSPE Prague, 2003), Associate Professor in Applied MathematicsMILAN KRBALEK
Actual tasks: vehicular headway modelling, balanced particle systems, super-random states of one-dimensional systems, new random matrix ensembles and their connection to vehicular dynamics, statistical rigidity and compressibility of particle ensembles, totally asymmetric simple exclusion process, stochastic gases with short/middle-ranged interactions, dynamics of pedestrian and vehicular MILAN KRBALEK FOR FNSPE STUDENTS Aktuální vědecké výsledky a hodnocení: viz zde Populárn í článek o matematice davu: M. Krb álek, Chůze v davu: impulzy bez doteku, Vesmír 9 (2019) 500-502; Rozhovor pro DVTV: Milan Krb álek in DVTV (Interview with Emma Smetana) Historie vědecké oblasti VHM (Vehicular Headway Modeling) zahrnující citace na práce M. Krbálka: Headway Modelling Survey: Li, L., Chen, X.M., 2017.MILAN KRBALEK
Favorite Records: Sting: The Last Ship, A&M Records 2013, Zaz: Paris, Warner Music France 2014, Dan B árta & Illustratosphere: Maratonika, Taita Publishers 2013, Mike and The Mechanics: Word on Mouth, Virgin Records 1991, Amy Winehouse: Back to Black, Universal Island Records 2006, Bryan Adams: MTV Unplugged, A&M Records 1997, Genesis: Live over Europe, Virgin Records 20 07, Peter Gabriel: So PACIFIC RAILROAD ADVENTURE If you're interested in the visual history of the many cities across the United States of America, and you're curious about the phenomenon that was the transcontinental railroad, then look no further. KM-PRN-108-20200601134719 Title: KM-PRN-108-20200601134719 Created Date: 6/1/2020 1:47:19 PM SPECTRAL RIGIDITY OF VEHICULAR STREAMS (RANDOM MATRIX J. Phys. A: Math. Theor. 42 (2009) 345001 M Krbalek and P´ ˇSeba interaction between the successive cars in the chain of vehicles. Especially, the probability FOUNDATIONS OF TRAFFIC FLOW THEORY I: GREENSHIELDS’ LEGACY 1 Foundations of Traffic Flow Theory I: Greenshields’ Legacy – Highway Traffic Prof. Dr. Reinhart D. Kühne German Aerospace Center, Transportation Studies, Berlin, Germany KM-PRN-108-20200610092809 — vv//mc (3 -O 2d— 4mku X x Q CÐ(3x) muni b poi/" 2/df du R b) d) la(.L ona ale u nun k dehvaå ãbj/ml (0 70QŽe T. Xuiuóßk)/4--/opis 90////em)
THE STATISTICAL PROPERTIES OF THE CITY TRANSPORT IN L234 Letter to the Editor References HaakeF1992 Quantum Signatures of Chaos (Berlin:Springer) MelloPAandBarangerHU1995 Physica A220 15 MelloPA,PereyraPandSeligmanTH1985 Ann. Phys., NY 161 254 MehtaK1991 Random Matrices (NewYork:Academic) PechukasP1983 Phys. Rev. Lett. 51 943 YukawaT1985 Phys. Rev. Lett. 54 1883 O’LoanOJ,EvansMRandCatesME1998 Phys. Rev. E58 MILAN KRBALEK (OFFICIAL WEB-PRESENTATION) Initials: Doc. Mgr. Milan KRB ÁLEK, Ph.D. Grade: Associate Professor Profession: Mathematician Born: April 13, 1971 (Czech Republic) Postal Address: Trojanova 13, 120 00 Praha 2 Private Address: Pardubice, Zelené Předměstí Educational Attainment: Master Degree (UHK Hradec Kr álové, 1999), Doctoral Degree (FNSPE Prague, 2003), Associate Professor in Applied MathematicsMILAN KRBALEK
Actual tasks: vehicular headway modelling, balanced particle systems, super-random states of one-dimensional systems, new random matrix ensembles and their connection to vehicular dynamics, statistical rigidity and compressibility of particle ensembles, totally asymmetric simple exclusion process, stochastic gases with short/middle-ranged interactions, dynamics of pedestrian and vehicular MILAN KRBALEK FOR FNSPE STUDENTS Aktuální vědecké výsledky a hodnocení: viz zde Populárn í článek o matematice davu: M. Krb álek, Chůze v davu: impulzy bez doteku, Vesmír 9 (2019) 500-502; Rozhovor pro DVTV: Milan Krb álek in DVTV (Interview with Emma Smetana) Historie vědecké oblasti VHM (Vehicular Headway Modeling) zahrnující citace na práce M. Krbálka: Headway Modelling Survey: Li, L., Chen, X.M., 2017.MILAN KRBALEK
Favorite Records: Sting: The Last Ship, A&M Records 2013, Zaz: Paris, Warner Music France 2014, Dan B árta & Illustratosphere: Maratonika, Taita Publishers 2013, Mike and The Mechanics: Word on Mouth, Virgin Records 1991, Amy Winehouse: Back to Black, Universal Island Records 2006, Bryan Adams: MTV Unplugged, A&M Records 1997, Genesis: Live over Europe, Virgin Records 20 07, Peter Gabriel: So PACIFIC RAILROAD ADVENTURE If you're interested in the visual history of the many cities across the United States of America, and you're curious about the phenomenon that was the transcontinental railroad, then look no further. KM-PRN-108-20200601134719 Title: KM-PRN-108-20200601134719 Created Date: 6/1/2020 1:47:19 PM SPECTRAL RIGIDITY OF VEHICULAR STREAMS (RANDOM MATRIX J. Phys. A: Math. Theor. 42 (2009) 345001 M Krbalek and P´ ˇSeba interaction between the successive cars in the chain of vehicles. Especially, the probability FOUNDATIONS OF TRAFFIC FLOW THEORY I: GREENSHIELDS’ LEGACY 1 Foundations of Traffic Flow Theory I: Greenshields’ Legacy – Highway Traffic Prof. Dr. Reinhart D. Kühne German Aerospace Center, Transportation Studies, Berlin, Germany KM-PRN-108-20200610092809 — vv//mc (3 -O 2d— 4mku X x Q CÐ(3x) muni b poi/" 2/df du R b) d) la(.L ona ale u nun k dehvaå ãbj/ml (0 70QŽe T. Xuiuóßk)/4--/opis 90////em)
THE STATISTICAL PROPERTIES OF THE CITY TRANSPORT IN L234 Letter to the Editor References HaakeF1992 Quantum Signatures of Chaos (Berlin:Springer) MelloPAandBarangerHU1995 Physica A220 15 MelloPA,PereyraPandSeligmanTH1985 Ann. Phys., NY 161 254 MehtaK1991 Random Matrices (NewYork:Academic) PechukasP1983 Phys. Rev. Lett. 51 943 YukawaT1985 Phys. Rev. Lett. 54 1883 O’LoanOJ,EvansMRandCatesME1998 Phys. Rev. E58 MILAN KRBALEK FOR FNSPE STUDENTS Aktuální vědecké výsledky a hodnocení: viz zde Populárn í článek o matematice davu: M. Krb álek, Chůze v davu: impulzy bez doteku, Vesmír 9 (2019) 500-502; Rozhovor pro DVTV: Milan Krb álek in DVTV (Interview with Emma Smetana) Historie vědecké oblasti VHM (Vehicular Headway Modeling) zahrnující citace na práce M. Krbálka: Headway Modelling Survey: Li, L., Chen, X.M., 2017.MILAN KRBALEK
2020 — Quil da (follow this link to see the photogallery) 2019 — Amsterdam (photogallery here to view) 2019 — Rovinj (several photos can be viewed here) 2019 — Kvilda/Šumava (photogallery here to disposal) 2019 — Adršpach: Teplicko-Ad ršpašské skály (photodiary available here) 2019 — SPECTRAL RIGIDITY OF VEHICULAR STREAMS (RANDOM MATRIX J. Phys. A: Math. Theor. 42 (2009) 345001 M Krbalek and P´ ˇSeba interaction between the successive cars in the chain of vehicles. Especially, the probabilityMILAN KRBALEK
Phil Collins - vocal & drums. Mike Rutherford - guitars & bass. Tony Banks - keyboards. Daryl Stuermer - guitars & bass. Chester Thompson -drums
MILAN KRBALEK FOR FNSPE STUDENTS Náplní předmětu Matematická analýza B4 je zejména teorie funkce více proměnných. Na úvod jsou zavedeny základní topologické pojmy (limita a spojitost) a rovněž výchozí pojmy diferenciálního počtu, mezi něž řadíme parciální a směrovou parciální derivaci, totální diferenciál a PEDESTRIAN HEADWAYS --- REFLECTION OF TERRITORIAL SOCIAL M.Krbáleketal./PhysicaA490(2018)38–49 39 thewaytoamoredetailedinsightintopedestriandynamics.Ontheotherhand,thisfieldisrapidlyadvancing,whichallows THEORETICAL PREDICTIONS FOR VEHICULAR HEADWAYS AND THEIR J.Phys.A:Math.Theor.46 (2013)445101 MKrb´alek 0 10 20 30 40 50 60 70 80 90 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 Traffic Density ρ Mean Velocity w [s −1 DISCRETE THERMODYNAMICAL MODELLING OF TRAFFIC … Discrete thermodynamical modelling of traffic streams KRBÁLEK Milan 12 th WCTR, July 11-15, 2010 – Lisbon, Portugal 3 where the only free parameter & is the inverse thermodynamical temperature (see VEHICULAR HEADWAYS ON SIGNALIZED INTERSECTIONS: THEORY Vehicular headways on signalized intersections: theory, models, and reality Milan Krbálek and Jiří Šleis Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in TOPIC C: TRAFFIC MANAGEMENT, OPERATIONS AND CONTROL … 13:50-14:10 B6-2C2® Rapid deployment of connected communication infrastructure on sudden-onset disasters E. Berliner1,2, Y. Hadas1*, B. Benmoshe2, 1Bar-Ilan University, Israel, 2Ariel University, Israel 14:10-14:30 B6-2C3® Examination of tsunami related reduced mobility people and its countermeasures - Case study in tsunami-inundated areasof Kyushu region of
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"What the world needs is more geniuses with humility, there are so few of us left." — OSCAR LEVANT (1906 - 1972) DOC. MGR. MILAN KRBÁLEK, PH.D.*
Last up-date time: 21.08.2019 10:41*
INITIALS: Doc. Mgr. Milan KRBÁLEK, Ph.D. GRADE: Associate Professor PROFESSION: Mathematician BORN: April 13, 1971 (Czech Republic) POSTAL ADDRESS: Trojanova 13, 120 00 Praha 2 PRIVATE ADDRESS: Pardubice, Zelené Předměstí EDUCATIONAL ATTAINMENT: Master Degree (UHK Hradec Králové, 1999), Doctoral Degree (FNSPE Prague, 2003), Associate Professor in Applied Mathematics (FNSPE Prague, 2011) AFFILIATION: Department of Mathematics, FNSPE, Czech Technical University, Prague, Czech Republic INTERVIEW: in DVTV with Emma Smetana (Driver's brain as the main causeof platoons
)
- in Czech
Professional Experience: Institute of Physics, Czech Academy of Science,Czech Republic
Institute of Economy and Traffic, Technical University of Dresden, Germany Max Planck Institute for Physics of Complex Systems,Dresden, Germany
Joint Institute for Nuclear Research, Dubna, Russia University of Hradec Kralove, Czech Republic SIGNIFICANT POSITION: Country Representative of World Conference on Transport Research Society (WCTRS) SCIENCE TOPICS: Mathematical Modelling of Socio-Physical Systems , Vehicular Headway Modelling, Random Matrix Theory, Statistical Physics of Particle Gases, Deterministic Chaos, Pedestrian Dynamics TOP SCIENTIFIC PROJECT: _Detection of stochastic universalities in non-equilibrium states of socio-physical systems by means of Random Matrix Theory_ (2015–2017, grant by Czech Science Foundation) EDUCATION TOPICS: Mathematical Analysis (Calculus), Equations of Mathematical Physics, Mathematical Modelling of Traffic Systems, Random Matrix Theory EXTRA-WORK ACTIVITY: Photography &Music
HOBBIES: Travelling & Photography & Running & Guitar & Hiking & Cycling & Caribbean Rums REFERENCE: Prof. RNDr. Petr Šeba, DrSc., and Prof. Dr. Dirk Helbing, and Doc. RNDr. Jan Mareš, CSc. PRINTABLE CV: available here E-MAIL ADDRESS: milan.krbalek#fjfi.cvut.cz, milan#krbalek.cz PHONE: +420 224 358 550 FAX: +420 234 358 643 (secretary) TEXTBOOKS: 1. _Teorie míry a Lebesgueova integrálu_, Česká technika - nakladatelství ČVUT, Praha 2014_ _ 2. _Úlohy matematické fyziky_, Česká technika - nakladatelství ČVUT, Praha 2012 3. _Matematická analýza III_ (třetí rozšířené vydání), Česká technika - nakladatelství ČVUT, Praha 2011 4. _Matematická analýza IV — cvičení,_ Česká technika - nakladatelství ČVUT, Praha 2010 5. _Matematická analýza IV_ (druhé rozšířené vydání), Česká technika - nakladatelství ČVUT, Praha 2009 6. _Matematická analýza III_ (druhé rozšířené vydání), Česká technika - nakladatelství ČVUT, Praha 2008 7. _Úlohy matematické fyziky (cvičení)_, Česká technika - nakladatelství ČVUT, Praha 2008 8. _Matematická analýza IV_, Ediční středisko ČVUT, Praha 2006 9. Matematická analýza III, Ediční středisko ČVUT, Praha2005
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