differential and integral equations oxford handbooks

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Differential And Integral Equations

Author : Peter J. Collins
ISBN : 9780198533825
Genre : Mathematics
File Size : 61. 82 MB
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Differential & integral equations involve important mathematical techniques, & as such will be encountered by mathematicians, & physical & social scientists, in their undergraduate courses. This text provides a clear, comprehensive guide to first- & second- order ordinary & partial differential equations.

Handbook Of Integral Equations

Author : Andrei D. Polyanin
ISBN : 0203881052
Genre : Mathematics
File Size : 22. 41 MB
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Unparalleled in scope compared to the literature currently available, the Handbook of Integral Equations, Second Edition contains over 2,500 integral equations with solutions as well as analytical and numerical methods for solving linear and nonlinear equations. It explores Volterra, Fredholm, Wiener–Hopf, Hammerstein, Uryson, and other equations that arise in mathematics, physics, engineering, the sciences, and economics. With 300 additional pages, this edition covers much more material than its predecessor. New to the Second Edition • New material on Volterra, Fredholm, singular, hypersingular, dual, and nonlinear integral equations, integral transforms, and special functions • More than 400 new equations with exact solutions • New chapters on mixed multidimensional equations and methods of integral equations for ODEs and PDEs • Additional examples for illustrative purposes To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology, outline some of the methods in a schematic, simplified manner, and arrange the material in increasing order of complexity. The book can be used as a database of test problems for numerical and approximate methods for solving linear and nonlinear integral equations.

Heun S Differential Equations

Author : André Ronveaux
ISBN : 0198596952
Genre : Mathematics
File Size : 51. 46 MB
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Collating papers from a number of internationally renowned mathematicians, this book surveys both the current theory and the main areas of application of Heun's equation. This crops up in a wide variety of problems in applied mathematics, such as integral equations of potential theory, wave propagation, electrostatic oscillation, and Schrodinger's equation. This major collection will be of interest specifically for those researchers in non-linear Hamiltoniansystems, as well as those working in mathematical biology.

Handbook Of Differential Equations

Author : Daniel Zwillinger
ISBN : 9781483220963
Genre : Mathematics
File Size : 90. 66 MB
Format : PDF
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Handbook of Differential Equations is a handy reference to many popular techniques for solving and approximating differential equations, including exact analytical methods, approximate analytical methods, and numerical methods. Topics covered range from transformations and constant coefficient linear equations to finite and infinite intervals, along with conformal mappings and the perturbation method. Comprised of 180 chapters, this book begins with an introduction to transformations as well as general ideas about differential equations and how they are solved, together with the techniques needed to determine if a partial differential equation is well-posed or what the "natural" boundary conditions are. Subsequent sections focus on exact and approximate analytical solution techniques for differential equations, along with numerical methods for ordinary and partial differential equations. This monograph is intended for students taking courses in differential equations at either the undergraduate or graduate level, and should also be useful for practicing engineers or scientists who solve differential equations on an occasional basis.

Inequalities For Differential And Integral Equations

Author :
ISBN : 9780080534640
Genre : Mathematics
File Size : 84. 47 MB
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Inequalities for Differential and Integral Equations has long been needed; it contains material which is hard to find in other books. Written by a major contributor to the field, this comprehensive resource contains many inequalities which have only recently appeared in the literature and which can be used as powerful tools in the development of applications in the theory of new classes of differential and integral equations. For researchers working in this area, it will be a valuable source of reference and inspiration. It could also be used as the text for an advanced graduate course. Covers a variety of linear and nonlinear inequalities which find widespread applications in the theory of various classes of differential and integral equations Contains many inequalities which have only recently appeared in literature and cannot yet be found in other books Provides a valuable reference to engineers and graduate students

Integral Equations

Author : Jirō Kondō
ISBN : 0198596812
Genre : Mathematics
File Size : 60. 55 MB
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Integral equations arise in a very wide variety of mathematical and scientific problems. This textbook is devoted to the study and solution of such equations and it simultaneously provides a unified treatment of the theory together with a description of the range of methods for their solution. Professor Kondo's wide experience in science and engineering ensures that the many applications presented here are both up-to-date and relevant to current problems. Throughout, a wide selection of exercises will help further a student's understanding of the subject as well as give them a familiarity with the most important methods of solution. Consequently, this book will be ideal for final year undergraduates and postgraduates studying integral equations for the first time. All the main classes of integral equations are covered, including Volterra, Fredholm, and nonlinear integral equations. The close relationship with differential equations is also explored in order that students develop an understanding of the relationship between the two classes of equation and their relative merits for solving problems.

Nonlinear Ordinary Differential Equations Problems And Solutions

Author : Dominic Jordan
ISBN : 9780199212033
Genre : Mathematics
File Size : 45. 78 MB
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An ideal companion to the student textbook Nonlinear Ordinary Differential Equations 4th Edition (OUP, 2007) this text contains over 500 problems and solutions in nonlinear differential equations, many of which can be adapted for independent coursework and self-study.

The Chemistry Maths Book

Author : Erich Steiner
ISBN : 0199205353
Genre : Mathematics
File Size : 51. 92 MB
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The Chemistry Maths Book provides a complete course companion suitable for students at all levels. All the most useful and important topics are covered, with numerous examples of applications in chemistry and the physical sciences. Taking a clear, straightforward approach, the book develops ideas in a logical, coherent way, allowing students progressively to build a thorough working understanding of the subject. Topics are organized into three parts: algebra, calculus, differential equations, and expansions in series; vectors, determinants and matrices; and numerical analysis and statistics. The extensive use of examples illustrates every important concept and method in the text, and are used to demonstrate applications of the mathematics in chemistry and several basic concepts in physics. The exercises at the end of each chapter, are an essential element of the development of the subject, and have been designed to give students a working understanding of the material in the text. Online Resource Centre: The Online Resource Centre features the following resources: - Figures from the book in electronic format, ready to download - Full worked solutions to all end of chapter exercises

Handbook Of Differential Equations Ordinary Differential Equations

Author : A. Canada
ISBN : 0080532829
Genre : Mathematics
File Size : 34. 58 MB
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The book contains seven survey papers about ordinary differential equations. The common feature of all papers consists in the fact that nonlinear equations are focused on. This reflects the situation in modern mathematical modelling - nonlinear mathematical models are more realistic and describe the real world problems more accurately. The implications are that new methods and approaches have to be looked for, developed and adopted in order to understand and solve nonlinear ordinary differential equations. The purpose of this volume is to inform the mathematical community and also other scientists interested in and using the mathematical apparatus of ordinary differential equations, about some of these methods and possible applications.

The Oxford Handbook Of Generality In Mathematics And The Sciences

Author : Karine Chemla
ISBN : 9780198777267
Genre :
File Size : 22. 83 MB
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Generality is a key value in scientific discourses and practices. Throughout history, it has received a variety of meanings and of uses. This collection of original essays aims to inquire into this diversity. Through case studies taken from the history of mathematics, physics and the life sciences, the book provides evidence of different ways of understanding the general in various contexts. It aims at showing how collectives have valued generality and how they have worked with specific types of "general" entities, procedures, and arguments. The books connects history and philosophy of mathematics and the sciences at the intersection of two of the most fruitful contemporary lines of research: historical epistemology, in which values (e.g. "objectivity," "accuracy") are studied from a historical viewpoint; and the philosophy of scientific practice, in which conceptual developments are seen as embedded in networks of social, instrumental, and textual practices. Each chapter provides a self-contained case-study, with a clear exposition of the scientific content at stake. The collection covers a wide range of scientific domains - with an emphasis on mathematics - and historical periods. It thus allows a comparative perspective which suggests a non-linear pattern for a history of generality. The introductory chapter spells out the key issues and points to the connections between the chapters.

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