سه کتاب هندبوک ریاضی (محاسبات انتگرالی - ریاضیات - معادلات دیفرانسیل با مشتقات جزئی غیرخطی)

[Hassan Farahani]

هندبوک محاسبات انتگرالی

Handbook of Integral Equations



Andrei D. Polyanin & Alexander V. Manzhirov
CRC l PDF l 799 Pages l 4 MB
Containing more than 1,000 integral equations with solutions, Handbook of Integral Equations outlines the exact analytical methods for solving linear and nonlinear integral equations as well as evaluates approximate methods. Topics include new solutions to the Volterra, Fredholm, and other equations; equations with arbitrary functions; classical methods; and recent developments. Each section provides examples showing how methods can be applied to specific equations

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[Hassan Farahani]

هندبوک ریاضیات برای مهندسین

Handbook of Mathematics for Engineers and Scientists



Andrei D. Polyanin, Alexander V. Manzhirov
CRC l 2006 l PDF l 1543 Pages l 10.06 MB
The Handbook of Mathematics for Engineers and Scientists covers the main fields of mathematics and focuses on the methods used for obtaining solutions of various classes of mathematical equations that underlie the mathematical modeling of numerous phenomena and processes in science and technology. To accommodate different mathematical backgrounds, the preeminent authors outline the material in a simplified, schematic manner, avoiding special terminology wherever possible. Organized in ascending order of complexity, the material is divided into two parts. The first part is a coherent survey of the most important definitions, formulas, equations, methods, and theorems. It covers arithmetic, elementary and analytic geometry, algebra, differential and integral calculus, special functions, calculus of variations, and probability theory. Numerous specific examples clarify the methods for solving problems and equations. The second part provides many in-depth mathematical tables, including those of exact solutions of various types of equations. This concise, comprehensive compendium of mathematical definitions, formulas, and theorems provides the foundation for exploring scientific and technological phenomena

Summary

The Handbook of Mathematics for Engineers and Scientists covers the main fields of mathematics and focuses on the methods used for obtaining solutions of various classes of mathematical equations that underlie the mathematical modeling of numerous phenomena and processes in science and technology. To accommodate different mathematical backgrounds, the preeminent authors outline the material in a simplified, schematic manner, avoiding special terminology wherever possible.

Organized in ascending order of complexity, the material is divided into two parts. The first part is a coherent survey of the most important definitions, formulas, equations, methods, and theorems. It covers arithmetic, elementary and analytic geometry, algebra, differential and integral calculus, special functions, calculus of variations, and probability theory. Numerous specific examples clarify the methods for solving problems and equations. The second part provides many in-depth mathematical tables, including those of exact solutions of various types of equations.

This concise, comprehensive compendium of mathematical definitions, formulas, and theorems provides the foundation for exploring scientific and technological phenomena.

Authors

Foreword

Main Notation

DEFINITIONS, FORMULAS, METHODS, AND THEOREMS

Arithmetic and Elementary Algebra

Elementary Functions

Elementary Geometry

Analytic Geometry

Algebra

Limits and Derivatives

Integrals

Series

Differential Geometry

Functions of Complex Variable

Integral Transforms

Ordinary Differential Equations

First-Order Partial Differential Equations

Linear Partial Differential Equations

Nonlinear Partial Differential Equations

Integral Equations

Difference Equations and Other Functional Equations

Special Functions and Their Properties

Calculus of Variations and Optimization

Probability Theory

Mathematical Statistics

MATHEMATICAL TABLES

Finite Sums and Infinite Series

Integrals

Integral Transforms

Ordinary Differential Equations

Systems of Ordinary Differential Equations

First-Order Partial Differential Equations

Linear Equations and Problems of Mathematical Physics

Nonlinear Mathematical Physics Equations

Systems of Partial Differential Equations

Integral Equations

Functional Equations

Supplement: Some Useful Electronic Mathematical Resources
Index

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[Hassan Farahani]

هندبوک معادلات دیفرانسیل با مشتقات جزئی غیرخطی

Handbook of Nonlinear Partial Differential Equations



CRC l 2003 l PDF l 821 Pages l 4.18 MB
By Andrei D. Polyanin, Valentin F. Zaitsev

Publisher: Chapman & Hall/CRC
Number Of Pages: 840
Publication Date: 2003-10-29
ISBN-10 / ASIN: 1584883553
ISBN-13 / EAN: 9781584883555

Product Description

The Handbook of Nonlinear Partial Differential Equations is the latest in a series of acclaimed handbooks by these authors and presents exact solutions of more than 1600 nonlinear equations encountered in science and engineering--many more than any other book available. The equations include those of parabolic, hyperbolic, elliptic and other types, and the authors pay special attention to equations of general form that involve arbitrary functions.A supplement at the end of the book discusses the classical and new methods for constructing exact solutions to nonlinear euqations. 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 equations in increasing order of complexity.Highlights of the Handbook
Summary: The most reliable source of solvable nonlinear PDEs
Rating: 5
It is a very rare occasion when a nonlinear partial differential equation admits an exact solution. Such cases are of the utmost importance as they enable the full and most detailed analysis of the problem concerned. This reference book contains the most extended list of nonlinear PDEs known to be solvable to date and gives not only their exact solutions but also solution methods
It is a really good book

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