BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY
Scope & Guideline
Connecting Researchers and Ideas in the World of Mathematics
Introduction
Aims and Scopes
- Algebra and Number Theory:
This area includes research on algebraic structures, group theory, number theory, and modular forms, contributing to the understanding of fundamental mathematical concepts. - Graph Theory and Combinatorics:
The journal features studies on graph properties, combinatorial designs, and extremal combinatorics, which are essential for both theoretical developments and practical applications. - Analysis and Differential Equations:
Publications in this scope involve real and complex analysis, functional analysis, and the study of differential equations, focusing on both classical and modern techniques. - Topology and Geometry:
Research articles explore topological spaces, geometric structures, and their interrelations, contributing to the foundational aspects of mathematical theory. - Applied Mathematics and Computational Methods:
The journal also includes applied mathematics, particularly in areas such as numerical analysis, mathematical modeling, and simulations, bridging theory and practical application. - Probability and Statistics:
Contributions in this area cover stochastic processes, statistical methods, and their applications in various fields, reflecting the growing importance of probabilistic approaches in mathematics.
Trending and Emerging
- Interdisciplinary Applications:
There is a growing trend towards interdisciplinary approaches that apply mathematical concepts to fields such as biology, economics, and engineering, reflecting the increasing relevance of mathematics in real-world problems. - Computational Mathematics:
Research focusing on numerical methods, simulations, and algorithm development is on the rise, highlighting the importance of computational tools in solving complex mathematical problems. - Algebraic Geometry and Commutative Algebra:
There is an increasing interest in algebraic geometry and its connections to commutative algebra, with more papers exploring geometric properties and algebraic structures. - Probabilistic Methods in Combinatorics:
The use of probabilistic techniques in combinatorial problems is becoming more prominent, indicating a trend towards innovative methodologies in addressing classical combinatorial challenges. - Mathematical Modelling and Optimization:
Research articles focusing on mathematical modeling and optimization techniques are emerging more frequently, underscoring the practical applications of mathematical theory in various industries.
Declining or Waning
- Classical Geometry:
There has been a noticeable reduction in publications specifically dedicated to classical geometry, such as Euclidean and non-Euclidean geometry, as newer topics gain traction. - Elementary Number Theory:
Research in basic number theory, particularly classical problems and techniques, appears to be waning, possibly due to the increasing complexity and abstraction in modern number theory. - Historical Mathematics:
Papers focusing on the history of mathematics and its development have become less frequent, suggesting a shift towards more contemporary and applied mathematical discussions. - Discrete Mathematics:
While still important, the frequency of articles specifically categorized under discrete mathematics has decreased, potentially overshadowed by more applied or computational perspectives.
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