2023 - Research.com Mathematics in Australia Leader Award
2022 - Research.com Mathematics in Australia Leader Award
2015 - Fellow of the American Mathematical Society For contributions to nonsmooth analysis and classical analysis as well as experimental mathematics and visualization of mathematics.
2001 - Fellow of the American Association for the Advancement of Science (AAAS)
1994 - Fellow of the Royal Society of Canada Academy of Science
Combinatorics, Subderivative, Pure mathematics, Discrete mathematics and Convex analysis are his primary areas of study. In his work, Riemann zeta function and Goldbach's conjecture is strongly intertwined with Euler's formula, which is a subfield of Combinatorics. His Subderivative research integrates issues from Convex function, Mathematical analysis, Calculus and Convex set.
His study in Pure mathematics is interdisciplinary in nature, drawing from both Point, Set and Metric. His work carried out in the field of Discrete mathematics brings together such families of science as Regular polygon, Hilbert space and Algebra. His Convex analysis research incorporates elements of Convex combination and Danskin's theorem.
Jonathan M. Borwein focuses on Pure mathematics, Discrete mathematics, Combinatorics, Mathematical analysis and Banach space. His studies deal with areas such as Convex function, Subderivative and Algebra as well as Pure mathematics. His research in Subderivative tackles topics such as Convex set which are related to areas like Convex analysis and Convex hull.
A large part of his Discrete mathematics studies is devoted to Approximation property. He works mostly in the field of Combinatorics, limiting it down to concerns involving Regular polygon and, occasionally, Applied mathematics. His Banach space study integrates concerns from other disciplines, such as Separable space and Monotone polygon.
The scientist’s investigation covers issues in Discrete mathematics, Pure mathematics, Combinatorics, Algebra and Regular polygon. His Banach space study in the realm of Discrete mathematics interacts with subjects such as Pseudo-monotone operator. The concepts of his Pure mathematics study are interwoven with issues in Computation and Mathematical analysis.
His Combinatorics research is multidisciplinary, incorporating elements of Type and Monotonic function. His Convex analysis research extends to the thematically linked field of Algebra. His Regular polygon research is multidisciplinary, relying on both Intersection, Mathematical optimization, Dykstra's projection algorithm and Applied mathematics.
His scientific interests lie mostly in Mathematical optimization, Discrete mathematics, Regular polygon, Computation and Overfitting. His specific area of interest is Discrete mathematics, where Jonathan M. Borwein studies Banach space. His work deals with themes such as Fixed point, Theory of computation, Dykstra's projection algorithm and Hilbert space, which intersect with Regular polygon.
His studies deal with areas such as Pure mathematics and Numerical integration, Experimental mathematics, Symbolic computation, Algebra as well as Computation. The Pure mathematics study combines topics in areas such as Fourier analysis and Fourier series. His biological study spans a wide range of topics, including Danskin's theorem and Subderivative.
This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.
Two-Point Step Size Gradient Methods
Jonathan Barzilai;Jonathan M. Borwein.
Ima Journal of Numerical Analysis (1988)
Convex analysis and nonlinear optimization : theory and examples
Jonathan M. Borwein;Adrian S Lewis.
On Projection Algorithms for Solving Convex Feasibility Problems
Heinz H. Bauschke;Jonathan M. Borwein.
Siam Review (1996)
Pi and the AGM: A Study in Analytic Number Theory and Computational Complexity
Jonathan M. Borwein;Peter B. Borwein.
Convex analysis and nonlinear optimization
Jonathan M. Borwein;Adrian S. Lewis.
Techniques of variational analysis
Jonathan M. Borwein;Qiji J. Zhu.
Pi and the AGM
Richard Askey;Jonathan M. Borwein;Peter B. Borwein.
Mathematics by experiment : plausible reasoning in the 21st century
Jonathan M. Borwein.
Modular Equations and Approximations to π
Lennart Berggren;Jonathan Borwein;Peter Borwein.
Convex Functions: Constructions, Characterizations and Counterexamples
Jonathan M. Borwein;Jon D. Vanderwerff.
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