A Journey Into Partial Differential Equations
DOWNLOAD
Download A Journey Into Partial Differential Equations PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get A Journey Into Partial Differential Equations book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
A Journey Into Partial Differential Equations
DOWNLOAD
Author : William O. Bray
language : en
Publisher: Jones & Bartlett Publishers
Release Date : 2012
A Journey Into Partial Differential Equations written by William O. Bray and has been published by Jones & Bartlett Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
Part of the International Series in Mathematics Ideal for the 1-term course, A Journey into Partial Differential Equations provides a solid introduction to PDEs for the undergraduate math, engineering, or physics student. Discussing underlying physics, concepts and methodologies, the text focuses on the classical trinity of equations: the wave equation, heat/diffusion equation, and Laplace's equation. Bray provides careful treatment of the separation of variables and the Fourier method, motivated by the geometrical notion of symmetries and places emphasis on both the qualitative and quantitative methods, as well as geometrical perspectives. With hundred of exercises and a wealth of figures, A Journey into Partial Differential Equations proves to be the model book for the PDE course.
Partial Differential Equations
DOWNLOAD
Author : Walter A. Strauss
language : en
Publisher: John Wiley & Sons
Release Date : 2007-12-21
Partial Differential Equations written by Walter A. Strauss and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-21 with Mathematics categories.
Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.
An Introduction To Partial Differential Equations
DOWNLOAD
Author : Michael Renardy
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-18
An Introduction To Partial Differential Equations written by Michael Renardy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-18 with Mathematics categories.
Partial differential equations are fundamental to the modeling of natural phenomena, arising in every field of science. Consequently, the desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians; it has inspired such diverse fields as complex function theory, functional analysis and algebraic topology. Like algebra, topology, and rational mechanics, partial differential equations are a core area of mathematics. This book aims to provide the background necessary to initiate work on a Ph.D. thesis in PDEs for beginning graduate students. Prerequisites include a truly advanced calculus course and basic complex variables. Lebesgue integration is needed only in Chapter 10, and the necessary tools from functional analysis are developed within the course. The book can be used to teach a variety of different courses. This new edition features new problems throughout and the problems have been rearranged in each section from simplest to most difficult. New examples have also been added. The material on Sobolev spaces has been rearranged and expanded. A new section on nonlinear variational problems with "Young-measure" solutions appears. The reference section has also been expanded.
An Immersive Journey Into Differential Equations
DOWNLOAD
Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-07-12
An Immersive Journey Into Differential Equations written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-12 with Mathematics categories.
Embark on a captivating journey into the realm of numerical analysis, where we unlock the secrets of differential equations and discover the transformative power of numerical methods. This comprehensive guide empowers you to delve into the intricacies of complex phenomena, unveil hidden patterns, and harness the power of computation to gain unprecedented insights. Within these pages, you will embark on an intellectual odyssey, exploring the fundamental principles underlying numerical methods and unraveling the intricacies of multistep and Runge-Kutta methods. Witness the elegance of finite difference and finite element techniques as you conquer the challenges of partial differential equations, gaining invaluable insights into the behavior of physical systems. Delve deeper into the realm of numerical analysis as you uncover sophisticated methods for solving systems of differential equations, unveiling the secrets of stability and convergence. Master the art of boundary value problems, bridging the gap between theory and application. Discover the power of advanced topics such as spectral methods, adaptive methods, and Monte Carlo methods, unlocking new avenues for solving complex problems. Witness the profound impact of numerical analysis on diverse disciplines, from engineering and finance to biology and environmental science. Uncover how numerical methods empower us to model complex systems, optimize processes, and make data-driven decisions, transforming industries and shaping the world around us. This book is your gateway to unlocking the transformative power of numerical analysis. With clear explanations, engaging examples, and insightful case studies, you will gain a deep understanding of the subject and its far-reaching applications. Whether you are a student, researcher, or practitioner, this comprehensive guide will equip you with the knowledge and skills to tackle complex problems and make informed decisions in an increasingly data-driven world. Join us on this enlightening journey into the world of numerical analysis, where you will witness the convergence of theory and application, and discover the power of computation to transform our understanding of the world. If you like this book, write a review!
Mathcraft A Journey Into Computational Mathematics
DOWNLOAD
Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-04-30
Mathcraft A Journey Into Computational Mathematics written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-30 with Mathematics categories.
**Step into the realm of computational mathematics and unlock the power of numbers to unravel the mysteries of our world.** In this comprehensive guide, we take you on a captivating journey through the fascinating world of computational mathematics. From its humble beginnings to its pivotal role in modern science and engineering, we explore the fundamental concepts, techniques, and applications of this dynamic field. **Delve into the intricacies of numerical analysis,** where we uncover the art of approximating solutions to complex mathematical problems with remarkable accuracy. Discover how computational mathematics enables us to simulate natural phenomena, design groundbreaking technologies, and optimize complex systems. **Unravel the mysteries of differential equations,** the language of change and motion. Explore the behavior of dynamic systems, from the flight of a rocket to the flow of fluids, and gain insights into the underlying patterns that govern the universe. **Embark on an adventure in probability and statistics,** where we uncover the laws of chance and the art of making informed decisions based on uncertain data. Understand the principles of probability distributions, statistical inference, and regression analysis, and apply them to real-world scenarios. **Traverse the fascinating landscape of mathematical modeling,** where we learn to translate real-world problems into mathematical equations and explore the implications of different scenarios. Discover how mathematical models can be used to optimize processes, predict outcomes, and gain insights into complex systems. **Navigate the complexities of computational geometry,** where we uncover the hidden structures and patterns that underlie the shapes and forms of our universe. Explore the algorithms and techniques used to represent and manipulate geometric objects, and discover their applications in computer graphics, engineering, and design. **Delve into the depths of mathematical software,** the tools that empower us to harness the power of computation for mathematical exploration and discovery. Discover the capabilities of popular mathematical software packages, learn best practices for developing and using mathematical libraries, and explore the frontiers of high-performance computing. **Throughout this journey, we encounter the challenges and opportunities that lie at the forefront of computational mathematics.** We examine the ethical and societal implications of this rapidly evolving field, and we speculate on the future directions of research and development. Join us on this intellectual adventure as we unlock the power of computational mathematics and uncover the secrets of the universe. If you like this book, write a review on google books!
Partial Differential Equations Methods Applications And Theories 2nd Edition
DOWNLOAD
Author : Harumi Hattori
language : en
Publisher: World Scientific
Release Date : 2019-06-24
Partial Differential Equations Methods Applications And Theories 2nd Edition written by Harumi Hattori and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-24 with Mathematics categories.
This is an introductory level textbook for partial differential equations (PDEs). It is suitable for a one-semester undergraduate level or two-semester graduate level course in PDEs or applied mathematics. This volume is application-oriented and rich in examples. Going through these examples, the reader is able to easily grasp the basics of PDEs.Chapters One to Five are organized to aid understanding of the basic PDEs. They include the first-order equations and the three fundamental second-order equations, i.e. the heat, wave and Laplace equations. Through these equations, we learn the types of problems, how we pose the problems, and the methods of solutions such as the separation of variables and the method of characteristics. The modeling aspects are explained as well. The methods introduced in earlier chapters are developed further in Chapters Six to Twelve. They include the Fourier series, the Fourier and the Laplace transforms, and the Green's functions. Equations in higher dimensions are also discussed in detail. In this second edition, a new chapter is added and numerous improvements have been made including the reorganization of some chapters. Extensions of nonlinear equations treated in earlier chapters are also discussed.Partial differential equations are becoming a core subject in Engineering and the Sciences. This textbook will greatly benefit those studying in these subjects by covering basic and advanced topics in PDEs based on applications.
Partial Differential Equations For Probabalists Sic
DOWNLOAD
Author : Daniel W. Stroock
language : en
Publisher: Cambridge University Press
Release Date : 2008
Partial Differential Equations For Probabalists Sic written by Daniel W. Stroock and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Differential equations, Elliptic categories.
Kolmogorov's forward, basic results -- Non-elliptic regularity results -- Preliminary elliptic regularity results -- Nash theory -- Localization -- On a manifold -- Subelliptic estimates and Hörmander's theorem.
Numerical Methods For Partial Differential Equations
DOWNLOAD
Author : Vitoriano Ruas
language : en
Publisher: John Wiley & Sons
Release Date : 2016-04-28
Numerical Methods For Partial Differential Equations written by Vitoriano Ruas and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-28 with Technology & Engineering categories.
Numerical Methods for Partial Differential Equations: An Introduction Vitoriano Ruas, Sorbonne Universités, UPMC - Université Paris 6, France A comprehensive overview of techniques for the computational solution of PDE's Numerical Methods for Partial Differential Equations: An Introduction covers the three most popular methods for solving partial differential equations: the finite difference method, the finite element method and the finite volume method. The book combines clear descriptions of the three methods, their reliability, and practical implementation aspects. Justifications for why numerical methods for the main classes of PDE's work or not, or how well they work, are supplied and exemplified. Aimed primarily at students of Engineering, Mathematics, Computer Science, Physics and Chemistry among others this book offers a substantial insight into the principles numerical methods in this class of problems are based upon. The book can also be used as a reference for research work on numerical methods for PDE’s. Key features: A balanced emphasis is given to both practical considerations and a rigorous mathematical treatment The reliability analyses for the three methods are carried out in a unified framework and in a structured and visible manner, for the basic types of PDE's Special attention is given to low order methods, as practitioner's overwhelming default options for everyday use New techniques are employed to derive known results, thereby simplifying their proof Supplementary material is available from a companion website.
Introduction To Partial Differential Equations
DOWNLOAD
Author : Aslak Tveito
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-09-15
Introduction To Partial Differential Equations written by Aslak Tveito and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-15 with Mathematics categories.
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the cl- sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Ma- ematical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs. Preface "It is impossible to exaggerate the extent to which modern applied mathematics has been shaped and fueled by the g- eral availability of fast computers with large memories. Their impact on mathematics, both applied and pure, is comparable to the role of the telescopes in astronomy and microscopes in biology." — Peter Lax, Siam Rev. Vol. 31 No. 4 Congratulations! You have chosen to study partial differential equations.
Second Order Partial Differential Equations In Hilbert Spaces
DOWNLOAD
Author : Giuseppe Da Prato
language : en
Publisher: Cambridge University Press
Release Date : 2002-07-25
Second Order Partial Differential Equations In Hilbert Spaces written by Giuseppe Da Prato and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-07-25 with Mathematics categories.
Second order linear parabolic and elliptic equations arise frequently in mathematics and other disciplines. For example parabolic equations are to be found in statistical mechanics and solid state theory, their infinite dimensional counterparts are important in fluid mechanics, mathematical finance and population biology, whereas nonlinear parabolic equations arise in control theory. Here the authors present a state of the art treatment of the subject from a new perspective. The main tools used are probability measures in Hilbert and Banach spaces and stochastic evolution equations. There is then a discussion of how the results in the book can be applied to control theory. This area is developing very rapidly and there are numerous notes and references that point the reader to more specialised results not covered in the book. Coverage of some essential background material will help make the book self-contained and increase its appeal to those entering the subject.