Kategoria BISAC: Mathematics >> Mathematical Analysis

This book gathers peer-reviewed, selected contributions from participants of the 6th International Workshop on Nonlinear and Modern Mathematical Physics (NMMP-2022), hosted virtually from June 17–19, 2022. Works contained in this volume cover topics like nonlinear differential equations, integrable systems, Hamiltonian systems, inverse scattering transform, Painleve's analysis, nonlinear wave phenomena and applications, numerical methods of nonlinear wave equations, quantum integrable systems, and more. In this book, researchers and graduate students in mathematics and related areas will...

This book presents four topics related to undergraduate courses, typically not covered in standard lectures.

Written in a clear and careful style, these four "pearls" aim at complementing and deepening the knowledge of students and instructors by presenting a variety of techniques and useful methods. The first chapter provides a detailed discussion of real numbers, the foundation of any mathematical construction. Chapter two of the book is dedicated to the study of sequences defined by recurrence relations. The third chapter explores certain problems in asymptotic analysis, and...

This book presents research papers from the First International Conference on Symmetries and Integrability of Dynamical Systems (ICSIDS 2024), organized by the Department of Mathematics at Pondicherry University, Puducherry, India, held during November 5 7, 2024. The conference proceedings is a collection of thematic topics, such as symmetries and conservation laws, applications of group analysis to new mathematical models and nonlinear problems, symmetries of difference and differential equations with nonlocal terms, methods of integration of systems of equations, applications of...

This monograph explores the history of the contribution to ballistics by the American mathematician Gilbert Ames Bliss during World War I.  Drawing on the then-evolving calculus of variations, Bliss pioneered a novel technique for solving the problem of differential variations in ballistic trajectory.  Called Bliss' adjoint method, this technique was both hailed and criticized at the time: it was seen as both a triumphant application of pure mathematics to an applied problem and as a complex intrusion of higher mathematics into the jobs of military personnel not particularly interested...