Kitoblar

Nonlinear Systems

A nonlinear system is a set of nonlinear equations, which may be algebric, functional, ordinary defferental, partial defferental, integral or combination of these.

Basic Electronics for Scientists and Engineers

A professor of mine once opined that the best working experimentalists tended to have a good grasp of basic electronics. Experimental data often come in the form of electronic signals, and one needs to understand how to acquire and manipulate such signals properly. Indeed, in graduate school, everyone had a story about a budding scientist who got very excited about some new result, only to later discover that the result was just an artifact of the electronics they were using (or misusing!). In addition, most research labs these days have at least a few homemade circuits, often because the desired electronic function is either not available commercially or is prohibitively expensive. Other anecdotes could be added, but these suffice to illustrate the utility of understanding basic electronics for the working scientist.

Classical Potential theory

This book is about the potential theory of Laplace's equation, in Euclidean space ~N, where N ~ 2; in brief, classical potential theory. It involves the whole circle of ideas concerning harmonic and subharmonic functions, maximum principles and analyticity, Green functions, potentials and capacity, the Dirichlet problem and boundary integral representations.

Classical Potential Theory

There is also a close relationship between potential theory in the plane and complex analysis: concepts from potential theory are important and natural tools for the study of holomorphic functions. Further, this connection suggests potential theoretic analogues of theorems concerning functions of one complex variable, ranging from elementary results such as the maximum modulus theorem and Laurent's theorem, to the approximation theorems of Runge and Mergelyan and the theory of prime ends. We treat our subject at a level intended to be accessible to graduate students. Prerequisite knowledge does not go beyond what is commonly taught in undergraduate or first-year graduate courses. The reader will need a good grasp of the limiting processes of analysis, some facility with calculus in higher dimensions, and some measure theory.

Complex Analysis for Mathematics and Engineering

Descriptive geometry and engineering graphics

In the manual the collection of practical tasks are given in Russian. The tsks on the themes: a point, a straight line, a plane, two planes, a straight line and a plane, surfaces, crossing of surface with planes, crossing of two surfaces, transformation of drawing, definition of angles as well as written tasks, samplers for Olympiad tests and tasks.

Fundamentals of Differential Equations

This textbook is written to introduce the theory of ordinary differential equations, combining theoretical concepts and their practical applications. The main goal of the book is to prepare students to understand differential equations, master their solution methods, and model real-life problems. The work covers the following: First-order differential equations and their applications; Higher-order linear equations, fundamental solutions, and the Wronski determinant; Nonlinear equations and spatial portraits; Systems of equations and solutions using matrices

Mathematical Methods for Mathematicians, Physical Scientists and Engineers

This manual covers the mathematical methods necessary for students of mathematics, physics, and engineering. The purpose of the book is to present theoretical concepts in a simple and understandable way and show the possibility of applying them to practical problems in the natural sciences and engineering. The work covers the following: Linear algebra and matrix theory; Differential equations and their physical applications; Special functions and solving physical problems with their help; Fourier and Laplace transforms; Complex analysis methods; Integral equations and variational methods; Practical application of probability and statistical methods. The book is enriched not only with theoretical foundations, but also with numerous examples, exercises, and applications, preparing the reader for scientific research and solving practical problems.

Numerical Solution of Partial Differential Equations by the Finite Element Method

This book is devoted to the finite element method (FEM), an important direction in the numerical solution of partial differential equations (PDE). The author combines theoretical foundations and practical algorithms, explaining the essence of the method step by step. The work describes: General principles of solving elliptic, parabolic and hyperbolic PDEs; Variational formulas and their mathematical foundations; Discretization, i.e., the representation of continuous problems on a finite element grid; Stability and convergence properties; Practical computational algorithms and their application on computers; Methods of application to engineering and physics problems.

Regularity of minimal surfaces

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Linear Algebra and Its Applications

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Applied Partial Differential Equations

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International Congress of Mathematicians 1-Tom

This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. For any kind of use whatsoever, permission from the copyright owner must be obtained.

International Congress of Mathematicians 2-tom

This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. For any kind of use whatsoever, permission from the copyright owner must be obtained.