Free Download Symmetries of Integro-Differential Equations: With Applications in Mechanics and Plasma Physics by Yurii N. Grigoriev , Nail H. Ibragimov , Vladimir F. Kovalev , Sergey V. Meleshko
English | PDF | 2010 | 318 Pages | ISBN : 9048137969 | 2.5 MB
This book aims to coherently present applications of group analysis to integro-differential equations in an accessible way. The book will be useful to both physicists and mathematicians interested in general methods to investigate nonlinear problems using symmetries.

Free Download Differential Geometric Structures and Applications
English | 2024 | ISBN: 3031505859 | 332 Pages | PDF EPUB (True) | 26 MB
This proceedings contains a collection of selected, peer-reviewed contributions from the 4th International Workshop "Differential Geometric Structures and Applications" held in Haifa, Israel from May 10-13, 2023. The papers included in this volume showcase the latest advancements in modern geometry and interdisciplinary applications in fields ranging from mathematical physics to biology.

Free Download Lie Group Analysis of Differential Equations
by Ranis Ibragimov
English | 2024 | ISBN: 3111386996 | 298 pages | True PDF EPUB | 61.32 MB

Free Download Yu Ya Belov, "Inverse Problems for Partial Differential Equations (Inverse and Ill-Posed Problems) "
English | ISBN: 9067643580 | 2002 | 219 pages | PDF | 4 MB
This monograph is devoted to identification problems of coefficients in equations of mathematical physics. It invesitgates the existence and uniqueness of the solutions for identification coefficient problems in parabolic and hyperbolic equations and equation systems of composite type. The problems are studied with the Cauchy data and equations in which the Fourier transform with respect to the chosen variable is supposed to occur. Differential properties of the solutions for the original direct problems and their behavior under great values of time are studied on the basis of solution properties for direct problems. The identification problems with one or two unknown coefficients are also investigated. For initial boundary value conditions linear and nonlinear parabolic equations are studied.

Free Download C. Henry Edwards, "Elementary Differential Equations with Boundary Value Problems: Pearson New International Edition Ed 6"
English | ISBN: 1292025336 | 2013 | 772 pages | PDF | 10 MB
For briefer traditional courses in elementary differential equations that science, engineering, and mathematics students take following calculus.

Free Download William E. Boyce, "Elementary Differential Equations and Boundary Value Problems Ed 12"
English | ISBN: 1119777690 | 2021 | pages | PDF | 227 MB
Elementary Differential Equations and Boundary Value Problems, 12th Edition is written from the viewpoint of the applied mathematician, whose interest in differential equations may sometimes be quite theoretical, sometimes intensely practical, and often somewhere in between. In this revision, new author Douglas Meade focuses on developing students conceptual understanding with new concept questions and worksheets for each chapter. Meade builds upon Boyce and DiPrima's work to combine a sound and accurate (but not abstract) exposition of the elementary theory of differential equations with considerable material on methods of solution, analysis, and approximation that have proved useful in a wide variety of applications. The main prerequisite for engaging with the program is a working knowledge of calculus, gained from a normal two or three semester course sequence or its equivalent. Some familiarity with matrices will also be helpful in the chapters on systems of differential equations.

Free Download Dynamical Systems and Differential Geometry via MAPLE
English | 2021 | ISBN: 1527572234 | 255 Pages | PDF (True) | 2 MB
The area of dynamical systems and differential geometry via MAPLE is a field which has become exceedingly technical in recent years. In the field, everything is structured for the benefit of optimizing evolutionary geometric aspects that describe significant physical or engineering phenomena. This book is structured in terms of the importance, accessibility and impact of theoretical notions capable of shaping a future mathematician-computer scientist possessing knowledge of evolutionary dynamical systems. It provides a self-contained and accessible introduction for graduate and advanced undergraduate students in mathematics, engineering, physics, and economic sciences. This book is suitable for both self-study for students and professors with a background in differential geometry and for teaching a semester-long introductory graduate course in dynamical systems and differential geometry via MAPLE.

Free Download Differential Geometry For Physicists By Bo-Yu Hou, Bo-Yuan Hou
1997 | 560 Pages | ISBN: 9810231059 | PDF | 35 MB
This book is divided into fourteen chapters, with 18 appendices as introduction to prerequisite topological and algebraic knowledge, etc. The first seven chapters focus on local analysis. This part can be used as a fundamental textbook for graduate students of theoretical physics. Chapters 8-10 discuss geometry on fibre bundles, which facilitates further reference for researchers. The last four chapters deal with the Atiyah-Singer index theorem, its generalization and its application, quantum anomaly, cohomology field theory and noncommutative geometry, giving the reader a glimpse of the frontier of current research in theoretical physics.

Free Download Applied Differential Equations: The Primary Course: Second Edition
by Vladimir A. Dobrushkin
English | 2022 | ISBN: 1138606588 | 706 pages | True PDF | 53.34 MB

Free Download Analysis 1: Differential- und Integralrechnung einer Veränderlichen
Deutsch | 2023 | ISBN: 365840129X | 465 Seiten | PDF (True) | 4 MB
Dieses fest etablierte Lehrbuch begleitet Studierende der Mathematik, Physik und Informatik seit über vier Jahrzehnten durch die Analysis des ersten Semesters. Es gelangt in systematischer Weise, aber ohne zu große Abstraktionen, einfach und verständlich zu den grundlegenden Begriffen (Konvergenz von Folgen und Reihen, Stetigkeit, Differentiation, Riemannsches Integral) und illustriert sie mit zahlreichen Beispielen. Die numerische Seite der Analysis wird an verschiedenen Stellen beleuchtet, um den Grenzwertbegriff konkreter zu machen. Das Buch schließt mit zwei Kapiteln über Taylor- und Fourier-Reihen, in denen alle bis dahin gelernten Techniken zum Einsatz kommen. Jedes Kapitel enthält Übungsaufgaben zum Vertiefen der Inhalte.