<p>This volume convenes selected peer-reviewed research and survey articles that address the&nbsp;modern state-of-the-art in varied areas of&nbsp;applied mathematical analysis. They primarily include&nbsp;presentations as well as invited&nbsp;contributions for&nbsp;the 1st Southern Georgia Mathematics Conference (SGMC) that was virtually held on&nbsp;April 2���3&nbsp;2021 at&nbsp;the&nbsp;Georgia Southern University Statesboro USA. Papers in this volume incorporate both advanced theory and methods from&nbsp;mathematical analysis and cover myriad topics like&nbsp;imaging and inverse problems evolutionary PDEs symbolic computation dynamics and data analysis data science computational mathematics and more. This first volume focuses on mathematical analysis theory and applications.</p><p>&nbsp;</p><p>These studies and findings contained herein will be of&nbsp;interest to&nbsp;researchers and graduate students working in the&nbsp;fields of&nbsp;mathematical analysis modeling data analysis and computation with&nbsp;applications in many interdisciplinary applied sciences as in statistics physics biology and medical imaging. They are particularly relevant to those at the&nbsp;forefront of&nbsp;applied mathematical and statistical analysis as well as data science and other computational science disciplines.</p><p>&nbsp;</p><p>In its first edition the&nbsp;Southern Georgia Mathematics Conference&nbsp;brought together 74 speakers from&nbsp;70 different institutions from&nbsp;the&nbsp;USA Canada Austria and Botswana. Attendees included faculty researchers experts graduate and undergraduate students from&nbsp;all over the&nbsp;world.</p>
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