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![]() Free Download Analytic Methods for Partial Differential Equations by Gwynne A. Evans , Jonathan M. Blackledge , Peter D. Yardley English | PDF | 1999 | 308 Pages | ISBN : 3540761241 | 15.3 MB The subject of partial differential equations holds an exciting and special position in mathematics. Partial differential equations were not consciously created as a subject but emerged in the 18th century as ordinary differential equations failed to describe the physical principles being studied. The subject was originally developed by the major names of mathematics, in particular, Leonard Euler and Joseph-Louis Lagrange who studied waves on strings; Daniel Bernoulli and Euler who considered potential theory, with later developments by Adrien-Marie Legendre and Pierre-Simon Laplace; and Joseph Fourier's famous work on series expansions for the heat equation. Many of the greatest advances in modern science have been based on discovering the underlying partial differential equation for the process in question. J ames Clerk Maxwell, for example, put electricity and magnetism into a unified theory by estab lishing Maxwell's equations for electromagnetic theory, which gave solutions for problems in radio wave propagation, the diffraction of light and X-ray developments. Schrodinger's equation for quantum mechankal processes at the atomic level leads to experimentally verifiable results which have changed the face of atomic physics and chemistry in the 20th century. In fluid mechanics, the Navier-Stokes' equations form a basis for huge number-crunching activities associated with such widely disparate topics as weather forcasting and the design of supersonic aircraft. Inevitably the study of partial differential equations is a large undertaking, and falls into several areas of mathematics. ![]() Free Download Analysis of the Electric Dipole Moment in the R-parity Violating Supersymmetric Standard Model by Nodoka Yamanaka English | PDF (True) | 2014 | 218 Page | ISBN : 4431545433 | 3.8 MB In this thesis the author discusses the phenomenology of supersymmetric models by means of experimental data set analysis of the electric dipole moment. There is an evaluation of the elementary processes contributing to the electric dipole moments within R-parity-violating supersymmetry, which call for higher-order perturbative computations. ![]() Free Download Analysis of Infectious Disease Problems (Covid-19) and Their Global Impact by Praveen Agarwal English | EPUB | 2021 | 635 Pages | ISBN : 9811624496 | 100.3 MB This edited volume is a collection of selected research articles discussing the analysis of infectious diseases by using mathematical modelling in recent times. Divided into two parts, the book gives a general and country-wise analysis of Covid-19. Analytical and numerical techniques for virus models are presented along with the application of mathematical modelling in the analysis of their spreading rates and treatments. The book also includes applications of fractional differential equations as well as ordinary, partial and integrodifferential equations with optimization methods. Probability distribution and their bio-mathematical applications have also been studied. This book is a valuable resource for researchers, scholars, biomathematicians and medical experts. ![]() Free Download Analysis: Part II Integration, Distributions, Holomorphic Functions, Tensor and Harmonic Analysis by Krzysztof Maurin English | PDF | 1980 | 833 Pages | ISBN : 9027708657 | 56.2 MB The extraordinarily rapid advances made in mathematics since World War II have resulted in analysis becoming an enormous organism spread ing in all directions. Gone for good surely are the days of the great French "courses of analysis" which embodied the whole of the "ana lytical" knowledge of the times in three volumes-as the classical work of Camille Jordan. Perhaps that is why present-day textbooks of anal ysis are disproportionately modest relative to the present state of the art. More: they have "retreated" to the state before Jordan and Goursat. In recent years the scene has been changing rapidly: Jean Dieudon ne is offering us his monumentel Elements d'Analyse (10 volumes) written in the spirit of the great French Course d'Analyse. To the best of my knowledge, the present book is the only one of its size: starting from scratch-from rational numbers, to be precise-it goes on to the theory of distributions, direct integrals, analysis on com plex manifolds, Kahler manifolds, the theory of sheaves and vector bun dles, etc. My objective has been to show the young reader the beauty and wealth of the unsual world of modern mathematical analysis and to show that it has its roots in the great mathematics of the 19th century and mathematical physics. I do know that the young mind eagerly drinks in beautiful and difficult things, rejoicing in the fact that the world is great and teeming with adventure. ![]() Free Download An Introduction to the Finite Element Method for Differential Equations by M. Asadzadeh English | PDF | 2020 | 335 Pages | ISBN : 11196716473 | 30 MB MOHAMMAD ASADZADEH, PHD is Professor of Applied Mathematics at the Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg. His primary research interests include the numerical analysis of hyperbolic pdes, as well as convection-diffusion and integro-differential equations. ![]() Free Download An Introduction to Teichmüller Spaces by Yoichi Imayoshi , Masahiko Taniguchi English | PDF | 1992 | 291 Pages | ISBN : 4431681760 | 22.1 MB The problem of how to parametrize the variations of complex structures on a fixed base surface originated with G. F. Bernhard Riemann. This problem has spurred extensive investigations, and progress has been considerable in the areas of the theory of Riemann surfaces, algebraic geometry, and differential geometry. ![]() Free Download An Introduction to Robot Technology by Philippe Coiffet , Michel Chirouze English | PDF | 1983 | 183 Pages | ISBN : 940116102X | 12.1 MB Robotics is now a well established field of endeavour both in industry and research laboratories. There is a danger that the word may be widely in areas where it is inappropriate, so knowing precisely what used even a robot is, how it is controlled and how it may be used in specific applications is of the highest importance. The authors are not only innovators in the development of robots but also highly respected educators. This book has been carefully com piled to crystallize, for the reader, the fundamentals of robot operation and application. The material carefully treads its path between achieving broad coverage and depth where it is needed. Industrialists, teachers and students alike will benefit from the book. Igor Aleksander July 1983 Chapter 1 Robotics: an introduction As a result of the great advances of the last few years many industrial processes have become largely automated, with the human operator playing an ever decreasing role. The fully automated and unmanned factory is probably now only a few decades away. ![]() Free Download An Introduction to Quantum Computing Algorithms by Arthur O. Pittenger English | PDF (True) | 2003 | 149 Pages | ISBN : 0817641270 | 18.1 MB In 1994 Peter Shor [65] published a factoring algorithm for a quantum computer that finds the prime factors of a composite integer N more efficiently than is possible with the known algorithms for a classical com puter. Since the difficulty of the factoring problem is crucial for the se curity of a public key encryption system, interest (and funding) in quan tum computing and quantum computation suddenly blossomed. Quan tum computing had arrived. The study of the role of quantum mechanics in the theory of computa tion seems to have begun in the early 1980s with the publications of Paul Benioff [6]' [7] who considered a quantum mechanical model of computers and the computation process. A related question was discussed shortly thereafter by Richard Feynman [35] who began from a different perspec tive by asking what kind of computer should be used to simulate physics. His analysis led him to the belief that with a suitable class of "quantum machines" one could imitate any quantum system. ![]() Free Download An Introduction to Mathematical Cryptography by J.H. Silverman , Jill Pipher , Jeffrey Hoffstein English | PDF (True) | 2008 | 533 Pages | ISBN : 1441926747 | 5.1 MB This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics. It includes exercises and examples at the end of each section. ![]() Free Download An Atlas of Local Group Galaxies by Paul W. Hodge , Brooke P. Skelton , Joy Ashizawa English | PDF | 2002 | 410 Pages | ISBN : 140200673X | 140.5 MB This Atlas provides a complete set of images of Local Group Galaxies (excluding the three for which identification atlases are already in print) and shows the most important objects, including many thousands of individual stars and interstellar objects. |