Edit Profile (opens in new tab) Burton, David M. Compute Distance To: Compute Author ID: burton.david-m Published as: Burton, David M. Documents Indexed: 22 Publications since 1964, including 12 Books Co-Authors: 1 Co-Author with 1 Joint Publication all top 5 Co-Authors 12 single-authored 3 Toint, Philippe L. 2 McQueen, Thomas 2 Sheridan, John 2 Thompson, Mark Christopher 1 Barboza, Luis A. 1 Cintrón-Arias, Ariel 1 Crouch, T. N. 1 Dalkowski, Heinz 1 Pulleyblank, William R. 1 Sánchez, Fabio 1 Scott, H. N. 1 Tudball Smith, D. all top 5 Serials 3 Journal of Fluid Mechanics 2 American Mathematical Monthly 2 Mathematical Programming. Series A. Series B 1 Mathematics Magazine 1 Ricerche di Matematica 1 Berliner Studienreihe zur Mathematik all top 5 Fields 6 Number theory (11-XX) 3 General and overarching topics; collections (00-XX) 3 Commutative algebra (13-XX) 3 Group theory and generalizations (20-XX) 3 Fluid mechanics (76-XX) 3 Operations research, mathematical programming (90-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Numerical analysis (65-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 17 Publications have been cited 74 times in 74 Documents Cited by ▼ Year ▼ On an instance of the inverse shortest paths problem. Zbl 0756.90089Burton, D.; Toint, Ph. L. 103 1992 On the use of an inverse shortest paths algorithm for recovering linearly correlated costs. Zbl 0795.90080Burton, D.; Toint, Ph. L. 38 1994 Quasi-Cauchy sequences. Zbl 1204.26003Burton, David; Coleman, John 31 2010 A first course in rings and ideals. Zbl 0204.05601Burton, David M. 20 1970 The inverse shortest paths problem with upper bounds on shortest paths costs. Zbl 0878.90098Burton, D.; Pulleyblank, W. R.; Toint, Ph. L. 20 1997 Elementary number theory. 4th ed. Zbl 0934.11001Burton, David M. 14 1998 Elementary number theory. Zbl 0314.10001Burton, David M. 14 1976 Elementary number theory. Rev. printing. Zbl 0453.10001Burton, David M. 10 1980 The history of mathematics. An introduction. Zbl 0657.01003Burton, David M. 6 1985 Introduction to modern abstract algebra. Zbl 0189.29401Burton, David M. 3 1967 Comparative analysis of dengue versus chikungunya outbreaks in Costa Rica. Zbl 1395.92164Sanchez, Fabio; Barboza, Luis A.; Burton, David; Cintrón-Arias, Ariel 2 2018 Handbook of elementary number theory. With more than 1000 exercises with solutions. (Handbuch der elementaren Zahlentheorie. Mit über 1000 Übungsaufgaben und ihren Lösungen.) Zbl 1084.11001Burton, David M.; Dalkowski, Heinz 2 2005 Elementary number theory. Rev. printing. rev. printing. Zbl 0696.10002Burton, David M. 2 1988 Abstract and linear algebra. Zbl 0242.12001Burton, David M. 2 1972 The double backward-facing step: interaction of multiple separated flow regions. Zbl 07474274McQueen, Thomas; Burton, David; Sheridan, John; Thompson, Mark C. 2 2022 Abstract algebra. Zbl 0661.00001Burton, David M. 1 1988 The influence of background turbulence on Ahmed-body wake bistability. Zbl 1500.76015Burton, D.; Wang, S.; Tudball Smith, D.; Scott, H. N.; Crouch, T. N.; Thompson, M. C. 1 2021 The double backward-facing step: interaction of multiple separated flow regions. Zbl 07474274McQueen, Thomas; Burton, David; Sheridan, John; Thompson, Mark C. 2 2022 The influence of background turbulence on Ahmed-body wake bistability. Zbl 1500.76015Burton, D.; Wang, S.; Tudball Smith, D.; Scott, H. N.; Crouch, T. N.; Thompson, M. C. 1 2021 Comparative analysis of dengue versus chikungunya outbreaks in Costa Rica. Zbl 1395.92164Sanchez, Fabio; Barboza, Luis A.; Burton, David; Cintrón-Arias, Ariel 2 2018 Quasi-Cauchy sequences. Zbl 1204.26003Burton, David; Coleman, John 31 2010 Handbook of elementary number theory. With more than 1000 exercises with solutions. (Handbuch der elementaren Zahlentheorie. Mit über 1000 Übungsaufgaben und ihren Lösungen.) Zbl 1084.11001Burton, David M.; Dalkowski, Heinz 2 2005 Elementary number theory. 4th ed. Zbl 0934.11001Burton, David M. 14 1998 The inverse shortest paths problem with upper bounds on shortest paths costs. Zbl 0878.90098Burton, D.; Pulleyblank, W. R.; Toint, Ph. L. 20 1997 On the use of an inverse shortest paths algorithm for recovering linearly correlated costs. Zbl 0795.90080Burton, D.; Toint, Ph. L. 38 1994 On an instance of the inverse shortest paths problem. Zbl 0756.90089Burton, D.; Toint, Ph. L. 103 1992 Elementary number theory. Rev. printing. rev. printing. Zbl 0696.10002Burton, David M. 2 1988 Abstract algebra. Zbl 0661.00001Burton, David M. 1 1988 The history of mathematics. An introduction. Zbl 0657.01003Burton, David M. 6 1985 Elementary number theory. Rev. printing. Zbl 0453.10001Burton, David M. 10 1980 Elementary number theory. Zbl 0314.10001Burton, David M. 14 1976 Abstract and linear algebra. Zbl 0242.12001Burton, David M. 2 1972 A first course in rings and ideals. Zbl 0204.05601Burton, David M. 20 1970 Introduction to modern abstract algebra. Zbl 0189.29401Burton, David M. 3 1967 all cited Publications top 5 cited Publications all top 5 Cited by 125 Authors 3 Griffiths, Martin 3 Kumar, Rajesh S. 2 Avital, Shmuel 2 Colton, Simon 2 Dutta, Tapan Kumar 2 Gibson, John A. 2 Goodman, Irwin R. 2 Ke, Pinhui 2 Nguyen, Hung Trung 2 Pease, Alison 2 Selianinau, Mikhail 2 Smaill, Alan 2 Zhang, Shengyuan 1 Ajmal, Naseem 1 Akbari, Saieed 1 Athab, Iman A. 1 Backhouse, Roland C. 1 Baddeley, Robert W. 1 Batra, Sudhir 1 Bissell, Christopher C. 1 Biswas, Biman Kumar 1 Bitim, Bahar Demirtürk 1 Broere, Izak 1 Cahill, Jameson 1 Casazza, Peter George 1 Chatzigiannakis, Ioannis 1 Chebolu, Sunil K. 1 Cheng, Alexander H.-D. 1 Cheng, Daisy T. 1 Chiang, Yik-Man 1 Crutchfield, James P. 1 Davis, James Avery 1 Dawson, Robert James MacGregor 1 Dhillon, Ajneet 1 Dinh, Hai Quang 1 Divasón, Jose 1 Dixit, V. N. 1 Doman, David B. 1 Ewell, John A. 1 Feng, Lihua 1 Ferreira, João Filipe 1 Ghosh, Jayanta 1 Golomb, Solomon Wolf 1 Grace, Randolph C. 1 Gupta, K. C. 1 Haas, John I. IV 1 Hamdi, Hala Q. 1 Hamilton-Jenkins, M. A. 1 Hansen, Rodney T. 1 Harnchoowong, Ajchara 1 Hirasawa, Kotaro 1 Holdridge, Diane B. 1 Hong, Shaofang 1 Hoque, Azizul 1 Hordijk, Wim 1 Hu, Jinglu 1 Jain, Sonal 1 Jameson, Graham J. O. 1 Jayaram, Chillumuntala 1 Kai, Xiaoshan 1 Kantroo, Manoj K. 1 Kar, Sukhendu 1 Kemp, Simon 1 Keskin, Refik 1 Kim, Chang Bum 1 Kohl, Timothy 1 Köhler, Günter 1 Konstantinou, Elisavet 1 Kumamaru, Kousuke 1 Laison, Joshua Douglass 1 Leong, Peng-Chor 1 Li, Lanqiang 1 Liagkou, Vasiliki 1 Liu, Longfei 1 Liu, Weijun 1 Lockridge, Keir H. 1 Man, Yiu-Kwong 1 Mandal, Dhananjoy 1 Marsli, Rachid 1 Monier, Louis 1 Morton, Nicola J. 1 Mukherjee, Tarun Kumar 1 O’Carroll, Liam 1 Ponrod, Pitchayatak 1 Praeger, Cheryl Elisabeth 1 Pruthi, Manju 1 Raina, Dhruv 1 Rani, Saroj 1 Rickey, V. Frederick 1 Ridley, James N. 1 Sagüillo, Jose-Miguel 1 Saikia, Helen Kumari 1 Samanta, Tapas Kumar 1 Schulte, Egon 1 Sen, Mridul Kanti 1 Shalizi, Cosma Rohilla 1 Shen, Shouqiang 1 Sizer, Walter S. 1 Sofo, Anthony 1 Song, Hong-Yeop ...and 25 more Authors all top 5 Cited in 49 Serials 8 Fuzzy Sets and Systems 5 International Journal of Mathematical Education in Science and Technology 3 The Mathematical Gazette 3 Journal of Algebra 2 Computers & Mathematics with Applications 2 Discrete Mathematics 2 International Journal of Control 2 The Mathematical Intelligencer 2 Journal of Discrete Mathematical Sciences & Cryptography 1 International Journal of Systems Science 1 Information Processing Letters 1 Journal of Mathematical Analysis and Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematische Semesterberichte 1 Rocky Mountain Journal of Mathematics 1 Applied Mathematics and Computation 1 Information Sciences 1 Journal of Combinatorial Theory. Series A 1 Journal of Mathematical Psychology 1 Journal of Pure and Applied Algebra 1 Quaestiones Mathematicae 1 Theoretical Computer Science 1 Topology and its Applications 1 Science of Computer Programming 1 History and Philosophy of Logic 1 Acta Mathematica Hungarica 1 Physica D 1 Journal of Automated Reasoning 1 Designs, Codes and Cryptography 1 Historia Mathematica 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Expositiones Mathematicae 1 Algebra Colloquium 1 Computational and Applied Mathematics 1 Finite Fields and their Applications 1 Complexity 1 Engineering Analysis with Boundary Elements 1 Theory of Computing Systems 1 Communications of the Korean Mathematical Society 1 Acta Mathematica Sinica. English Series 1 Foundations of Science 1 Integers 1 JP Journal of Algebra, Number Theory and Applications 1 International Journal of Wavelets, Multiresolution and Information Processing 1 International Journal of Computational Methods 1 Contributions to Discrete Mathematics 1 Discrete Mathematics, Algorithms and Applications 1 S\(\vec{\text{e}}\)MA Journal 1 AIMS Mathematics all top 5 Cited in 34 Fields 29 Number theory (11-XX) 13 Associative rings and algebras (16-XX) 13 Information and communication theory, circuits (94-XX) 7 Computer science (68-XX) 6 Combinatorics (05-XX) 6 Commutative algebra (13-XX) 5 History and biography (01-XX) 5 Mathematical logic and foundations (03-XX) 3 General and overarching topics; collections (00-XX) 3 Systems theory; control (93-XX) 2 Field theory and polynomials (12-XX) 2 Group theory and generalizations (20-XX) 2 Convex and discrete geometry (52-XX) 2 Probability theory and stochastic processes (60-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX) Citations by Year