H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 82 Citations 31,468 459 World Ranking 58 National Ranking 1
Engineering and Technology H-index 62 Citations 17,446 225 World Ranking 525 National Ranking 29

Research.com Recognitions

Awards & Achievements

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

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Algebra
  • Real number

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.

His most cited work include:

  • Two-Point Step Size Gradient Methods (1825 citations)
  • On Projection Algorithms for Solving Convex Feasibility Problems (1413 citations)
  • Convex analysis and nonlinear optimization : theory and examples (751 citations)

What are the main themes of his work throughout his whole career to date?

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.

He most often published in these fields:

  • Pure mathematics (28.83%)
  • Discrete mathematics (18.58%)
  • Combinatorics (18.44%)

What were the highlights of his more recent work (between 2011-2019)?

  • Discrete mathematics (18.58%)
  • Pure mathematics (28.83%)
  • Combinatorics (18.44%)

In recent papers he was focusing on the following fields of study:

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.

Between 2011 and 2019, his most popular works were:

  • High-Precision Computation: Mathematical Physics and Dynamics (103 citations)
  • Pi: A Source Book (98 citations)
  • Recent Results on Douglas---Rachford Methods for Combinatorial Optimization Problems (75 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Algebra
  • Real number

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.

Top Publications

Two-Point Step Size Gradient Methods

Jonathan Barzilai;Jonathan M. Borwein.
Ima Journal of Numerical Analysis (1988)

2327 Citations

Convex analysis and nonlinear optimization : theory and examples

Jonathan M. Borwein;Adrian S Lewis.
(2000)

1886 Citations

On Projection Algorithms for Solving Convex Feasibility Problems

Heinz H. Bauschke;Jonathan M. Borwein.
Siam Review (1996)

1692 Citations

Pi and the AGM: A Study in Analytic Number Theory and Computational Complexity

Jonathan M. Borwein;Peter B. Borwein.
(1998)

1618 Citations

Convex analysis and nonlinear optimization

Jonathan M. Borwein;Adrian S. Lewis.
(2000)

837 Citations

Pi and the AGM

Richard Askey;Jonathan M. Borwein;Peter B. Borwein.
(1987)

730 Citations

Techniques of variational analysis

Jonathan M. Borwein;Qiji J. Zhu.
(2005)

718 Citations

Mathematics by Experiment: Plausible Reasoning in the 21st Century

Jonathan M. Borwein.
(2004)

626 Citations

Modular Equations and Approximations to π

Lennart Berggren;Jonathan Borwein;Peter Borwein.
(2000)

489 Citations

Proper Efficient Points for Maximizations with Respect to Cones

Jonathan M. Borwein.
Siam Journal on Control and Optimization (1977)

441 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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