Roussos, Ioannis Markos creator author. text bibliography flu 2024 Second edition. monographic eng 1 online resource (442 pages) : illustrations (black and white). The scope of this book is the improper or generalized Riemann integral and infinite sum (series). The reader will study its convergence, principal value, evaluation and application to science and engineering. Improper Riemann integrals and infinite sums are interconnected. In the new edition, the author has involved infinite sums more than he did in the first edition. Apart from having computed and listed a large number of improper integrals and infinite sums, we have also developed the necessary theory and various ways of evaluating them or proving their divergence. Questions, problems and applications involving various improper integrals and infinite sums (series) of numbers emerge in science and application very often. Their complete presentations and all rigorous proofs would require taking the graduate-level courses on these subjects. Here their statements are adjusted to a level students of all levels can understand and use them efficiently as powerful tools in a large list of problems and applications. Ioannis Roussos. Previous edition: 2014. Riemann integral MATHEMATICS / Functional Analysis MATHEMATICS / Differential Equations MATHEMATICS / Applied QA311 9781003433477 1003433472 9781000958140 1000958140 9781000958157 1000958159 https://www.taylorfrancis.com/books/9781003433477 http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf https://www.taylorfrancis.com/books/9781003433477 http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf OCoLC-P 230901 20251030122247.0 9781003433477 eng