Mathematics is the study of quantity, structure, pattern, and shape. It can be studied as abstract concepts independently of any direct application outside mathematics (i.e., pure mathematics), or applied to other disciplines such as physics, biology, and engineering (i.e., applied mathematics). The Mathematics Research Network on SSRN is an open access preprint server that provides a venue for authors to showcase their research papers in our digital library, speeding up the dissemination and providing the scholarly community access to groundbreaking working papers and early-stage research. SSRN provides the opportunity to share different outputs of research such as preprints, preliminary or exploratory investigations, book chapters, PhD dissertations, course and teaching materials, presentations, and posters among others. SSRN also helps mathematics scholars discover the latest research in their own and other fields of interest, while providing a platform for the early sharing of their own work, making it available for subsequent work to be built upon more quickly.
Mathematics serves as a fundamental tool for our scientific understanding of the world. Since the beginning of recorded history, mathematical discovery has been at the forefront of every civilized society and, with its continuous contribution to other disciplines, has facilitated a more profound understanding of other scientific areas. SSRN fosters this interdisciplinary connection by enabling scholars to find related research in all research areas, including natural science, engineering, physics, medicine, architecture, computer science, and the social sciences.