English | 2022 | ISBN: 3110695960 | 474 pages | True PDF EPUB | 117.84 MB
This book highlights new developments in the wide and growing field of partial differential equations (PDE)-constrained optimization. Optimization problems where the dynamics evolve according to a system of PDEs arise in science, engineering, and economic applications and they can take the form of inverse problems, optimal control problems or optimal design problems. This book covers new theoretical, computational as well as implementation aspects for PDE-constrained optimization problems under uncertainty, in shape optimization, and in feedback control, and it illustrates the new developments on representative problems from a variety of applications.

Differential Equations by Leila Spark
English | 2022 | ISBN: N/A | ASIN: B0B5NF5CBH | 408 pages | EPUB | 3.56 Mb
Differential Equations is a fully reference book for students of high (Grades 9-12), mathematics, physics, engineering and diploma courses.

Differential Diagnosis of Movement Disorders in Clinical Practice By Abdul Qayyum Rana, Peter Hedera (auth.)
2014 | 112 Pages | ISBN: 3319016067 | PDF | 1 MB
This practical, pocket-sized, quick reference book is for those who need to manage movement disorder patients without the immediate help of a movement disorder neurologist. Only the most pertinent information is covered.This book is divided into five chapters covering the common phenomenology of movement disorders and includes tremor, dystonia, chorea, myoclonus, and tics. The etiology, pathophysiology, symptoms and treatments of these conditions are briefly reviewed, with the emphasis on the most common practical challenges encountered with these patients.Differential Diagnosis of Movement Disorders in Clinical Practice is aimed at postgraduates training in neurology, emergency care physicians, internists and primary care providers. Medical students will also find this book particularly helpful during their neurology rotations.

Partial Differential Equations: Topics in Fourier Analysis, 2nd Edition
English | 2023 | ISBN: 1032073160 | 208 Pages | PDF (True) | 9 MB
Partial Differential Equations: Topics in Fourier Analysis, Second Edition explains how to use the Fourier transform and heuristic methods to obtain significant insight into the solutions of standard PDE models. It shows how this powerful approach is valuable in getting plausible answers that can then be justified by modern analysis.

Differential Equations and Population Dynamics I: Introductory Approaches
English | 2022 | ISBN: 3030981355 | 466 Pages | PDF True | 15 MB
Part I focuses on linear systems. Beginning with some modeling background, it considers existence, uniqueness, stability of solution, positivity, and the Perron-Frobenius theorem and its consequences.

English | 2022 | ISBN: 1032001666 | 441 pages | True PDF | 11.83 MB
"In my opinion, this is quite simply the best book of its kind that I have seen thus far."

English | 2022 | ISBN: 1032290609 | 373 pages | True PDF EPUB | 28.48 MB
This book introduces multiplicative Frenet curves. We define multiplicative tangent, multiplicative normal, and multiplicative normal plane for a multiplicative Frenet curve. We investigate the local behaviours of a multiplicative parameterized curve around multiplicative biregular points, define multiplicative Bertrand curves and investigate some of their properties. A multiplicative rigid motion is introduced.

English | 2021 | ISBN: 147045114X, 978-1470465407 | 553 pages | True PDF | 7.76 MB
This graduate-level introduction to ordinary differential equations combines both qualitative and numerical analysis of solutions, in line with Poincaré's vision for the field over a century ago. Taking into account the remarkable development of dynamical systems since then, the authors present the core topics that every young mathematician of our time―pure and applied alike―ought to learn. The book features a dynamical perspective that drives the motivating questions, the style of exposition, and the arguments and proof techniques. The text is organized in six cycles. The first cycle deals with the foundational questions of existence and uniqueness of solutions. The second introduces the basic tools, both theoretical and practical, for treating concrete problems. The third cycle presents autonomous and non-autonomous linear theory. Lyapunov stability theory forms the fourth cycle. The fifth one deals with the local theory, including the Grobman–Hartman theorem and the stable manifold theorem. The last cycle discusses global issues in the broader setting of differential equations on manifolds, culminating in the Poincaré–Hopf index theorem. The book is appropriate for use in a course or for self-study. The reader is assumed to have a basic knowledge of general topology, linear algebra, and analysis at the undergraduate level. Each chapter ends with a computational experiment, a diverse list of exercises, and detailed historical, biographical, and bibliographic notes seeking to help the reader form a clearer view of how the ideas in this field unfolded over time.

English | 2022 | ISBN: 1032185228, 978-1032185224 | 307 pages | True PDF EPB | 12.21 MB
This book is an invaluable resource for applied researchers to find the analytical solution of differential equations describing the dynamical system with less computational effort and time. It describes the basic concepts of the differential transform method and solution of various real-world problems described by simple to complicated differential equations. It provides a computational technique that is not only conceptually simple and easy to use but also readily adaptable for computer coding. Different chapters of the book deal with the basic differential equations involved in the physical phenomena as well as a complicated system of differential equations described by the mathematical model.

Published 06/2022
MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz, 2 Ch
Genre: eLearning | Language: English + srt | Duration: 13 lectures (13h 41m) | Size: 5.27 GB