The Journal of Classical Pure Mathematics is a monthly, peer-reviewed scholarly periodical devoted to the rigorous advancement of the classical mathematical sciences. Rooted in the intellectual tradition that extends from Euclid and Archimedes to Newton, Euler, Gauss, and Hilbert, the Journal seeks to provide an international forum for research that engages directly with the enduring structures, methods, and problems of mathematics in its classical foundations. The Journal publishes original research articles, scholarly notes, expository essays, historically informed analyses, and advanced pedagogical studies that contribute meaningfully to the cultivation of mathematical understanding in the classical spirit.
The scope of the Journal encompasses the full breadth of pure and applied classical mathematics. Submissions in classical geometry may include work on Euclidean and non-Euclidean geometries, projective geometry, differential geometry in its classical formulations, geometric constructions, geometric mechanics, and studies of curvature, symmetry, and transformation groups. The Journal welcomes both contemporary research inspired by classical models and historical work that clarifies the development of geometric thought.
In number theory, the Journal invites contributions in algebraic number theory, analytic number theory, Diophantine analysis, arithmetic geometry, modular forms, and classical problems concerning primes, congruences, partitions, and integer sequences. Particular consideration is given to work that illustrates the continuity between historical number-theoretic insights and modern theoretical developments.
The Journal also publishes research in classical mechanics and celestial mechanics, including Hamiltonian and Lagrangian dynamics, perturbation theory, orbital mechanics, variational principles, integrable systems, and the mathematical frameworks underlying gravitational and planetary motion. Studies that bridge classical mechanics with modern mathematical physics are welcomed, provided they retain clear conceptual or methodological continuity with classical foundations.
The area of mathematics education forms an essential part of the Journal’s mission. The Journal accepts research on classical pedagogy, the role of proof and demonstration, the teaching of Euclidean geometry, curricular studies rooted in the quadrivium, and contemporary efforts to preserve or recover classical modes of mathematical learning. Articles addressing the intersection of classical mathematics with modern educational practice are particularly encouraged.
Finally, the Journal provides a platform for work in the philosophy of mathematics, especially in areas addressing Platonism, formalism, structuralism, constructivism, the history of mathematical ideas, the epistemology of proof, and the metaphysics of mathematical objects. Submissions that illuminate the philosophical underpinnings of classical mathematical disciplines or that situate contemporary practice within enduring conceptual debates are of special interest.
All submissions undergo rigorous peer review by established scholars appointed by the editorial staff or via Cambridge Open Engage. Reviewers are selected for their expertise in the relevant classical domain and for their ability to assess both the technical quality and the intellectual significance of submitted work. The editorial board is committed to ensuring that the Journal exemplifies clarity, depth, precision, and fidelity to the classical mathematical tradition.
The Journal of Classical Pure Mathematics aspires to be a scholarly home for those who work within, are inspired by, or seek to extend the classical vision of mathematics—a vision grounded in rigour, beauty, and the pursuit of truths that transcend the particularities of time and place.
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