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Getting Acquainted With Fractals
Getting Acquainted With Fractals
The first instance of pre-computer fractals was noted by the French mathematician Gaston Julia. He wondered what a complex polynomial function would look like, such as the ones named after him (in the form of z2 + c, where c is a complex constant with real and imaginary parts). The idea behind this formula is that one takes the x and y coordinates...
Robust Algebraic Multilevel Methods and Algorithms (Radon Series on Computational and Applied Mathematics)
Robust Algebraic Multilevel Methods and Algorithms (Radon Series on Computational and Applied Mathematics)
The iterative methods play an important role in solving linear equations that arise in real-world applications. Numerous properties of the problem may affect the efficiency of the solution. This book deals with algorithms for the solution of linear systems of algebraic equations with large-scale sparse matrices, with a focus on...
Numerical Methods for Solving Inverse Problems of Mathematical Physics (Inverse and Ill-Posed Problems)
Numerical Methods for Solving Inverse Problems of Mathematical Physics (Inverse and Ill-Posed Problems)
The main classes of inverse problems for equations of mathematical physics and their numerical solution methods are considered in this book which is intended for graduate students and experts in applied mathematics, computational mathematics, and mathematical modelling.

About the Author

Alexander...
Infinitesimal Differences: Controversies between Leibniz and his Contemporaries
Infinitesimal Differences: Controversies between Leibniz and his Contemporaries
The essays offer a unified and comprehensive view of 17th century mathematical and metaphysical disputes over status of infinitesimals, particularly the question whether they were real or mere fictions. Leibnizs development of the calculus and his understanding of its metaphysical foundation are taken as both a point of departure and a...
Combinatorial Number Theory: Proceedings of the 'Integers Conference 2007', Carrollton, Georgia, October 2427, 2007
Combinatorial Number Theory: Proceedings of the 'Integers Conference 2007', Carrollton, Georgia, October 2427, 2007
The Integers Conference 2007 was held October 24–27, 2007, at the University of West Georgia in Carrollton, Georgia. This was the third Integers Conference, held bi-annually since 2003.

It featured sixty-four invited talks including six plenary lectures presented by George Andrews, Vitaly Bergelson, Bryna Kra,...
Abstract Algebra: Applications to Galois Theory, Algebraic Geometry and Cryptography (SIGMA Series in Pure Mathematics)
Abstract Algebra: Applications to Galois Theory, Algebraic Geometry and Cryptography (SIGMA Series in Pure Mathematics)

A new approach to conveying abstract algebra, the area that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras, that is essential to various scientific disciplines such as particle physics and cryptology. It provides a well written account of the theoretical foundations; also contains topics that...

Gibbs Measures and Phase Transitions (De Gruyter Studies in Mathematics)
Gibbs Measures and Phase Transitions (De Gruyter Studies in Mathematics)

From a review of the first edition: "This book […] covers in depth a broad range of topics in the mathematical theory of phase transition in statistical mechanics. […] It is in fact one of the author's stated aims that this comprehensive monograph should serve both as an introductory text and as a reference for the...

Function Spaces (de Gruyter Series In Nonlinear Analysis And Applications)
Function Spaces (de Gruyter Series In Nonlinear Analysis And Applications)

This is the first part of the second revised and extended edition of a well established monograph. It is an introduction to function spaces defined in terms of differentiability and integrability classes. It provides a catalogue of various spaces and benefits as a handbook for those who use function spaces to study other topics such as...

Ancient Scholarship and Grammar: Archetypes, Concepts and Contexts
Ancient Scholarship and Grammar: Archetypes, Concepts and Contexts

The volume aims at investigating archetypes, concepts and contexts of the ancient philological discipline from a historical, methodological and ideological perspective. It includes 26 contributions by leading scholars divided into four sections: The ancient scholars at work, The ancient grammarians on Greek language and linguistic...

Metric Embeddings (de Gruyter Studies in Mathematics)
Metric Embeddings (de Gruyter Studies in Mathematics)

Embeddings of discrete metric spaces into Banach spaces recently became an important tool in computer science and topology. The book will help readers to enter and to work in this very rapidly developing area having many important connections with different parts of mathematics and computer science.

The purpose of the book is to...

Chemical Energy Storage (De Gruyter Textbook)
Chemical Energy Storage (De Gruyter Textbook)

Energy - in the headlines, discussed controversially, vital. The use of regenerative energy in many primary forms leads to the necessity to store grid dimensions for maintaining continuous supply and enabling the replacement of fossil fuel systems. This work provides a hands-on insight into the present status of energy conversion and deals...

Stochastic Calculus of Variations for Jump Processes (de Gruyter Studies in Mathematics)
Stochastic Calculus of Variations for Jump Processes (de Gruyter Studies in Mathematics)

This monograph is a concise introduction to the stochastic calculus of variations (also known as Malliavin calculus) for processes with jumps. It is written for researchers and graduate students who are interested in Malliavin calculus for jump processes. In this book processes "with jumps" includes both pure jump processes and...

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