Topic
Mathematical structure
About: Mathematical structure is a research topic. Over the lifetime, 1748 publications have been published within this topic receiving 60431 citations. The topic is also known as: structure & structures.
Papers published on a yearly basis
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Papers
Book•
1 Dec 1962
TL;DR: The fourth and final volume in this comprehensive set presents the maximum principle as a wide ranging solution to nonclassical, variational problems as discussed by the authors, which can be applied in a variety of situations, including linear equations with variable coefficients.
Abstract: The fourth and final volume in this comprehensive set presents the maximum principle as a wide ranging solution to nonclassical, variational problems. This one mathematical method can be applied in a variety of situations, including linear equations with variable coefficients, optimal processes with delay, and the jump condition. As with the three preceding volumes, all the material contained with the 42 sections of this volume is made easily accessible by way of numerous examples, both concrete and abstract in nature.
6,493 citations
4,504 citations
1 Jan 1996
TL;DR: The Mathematical Foundations of Quantum Mechanics as discussed by the authors is a seminal work in theoretical physics that introduced the theory of Hermitean operators and Hilbert spaces and provided a mathematical framework for quantum mechanics.
Abstract: Mathematical Foundations of Quantum Mechanics was a revolutionary book that caused a sea change in theoretical physics. Here, John von Neumann, one of the leading mathematicians of the twentieth century, shows that great insights in quantum physics can be obtained by exploring the mathematical structure of quantum mechanics. He begins by presenting the theory of Hermitean operators and Hilbert spaces. These provide the framework for transformation theory, which von Neumann regards as the definitive form of quantum mechanics. Using this theory, he attacks with mathematical rigor some of the general problems of quantum theory, such as quantum statistical mechanics as well as measurement processes. Regarded as a tour de force at the time of publication, this book is still indispensable for those interested in the fundamental issues of quantum mechanics.
4,425 citations
TL;DR: The Mathematical Theory of Optimal Processes (MTOP) as mentioned in this paper is a mathematical theory of optimal processes that is closely related to our approach to optimal process analysis, but with a different focus.
Abstract: (1965). The Mathematical Theory of Optimal Processes. Journal of the Operational Research Society: Vol. 16, No. 4, pp. 493-494.
3,761 citations
2,972 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2026 | 3 |
| 2025 | 71 |
| 2024 | 9 |
| 2023 | 32 |
| 2022 | 39 |
| 2021 | 56 |