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This book presents the principles of functional analysis. It includes recent simple proofs of the isoperimetric and the Faber-Krahn inequality, an elementary introduction to capacity theory, and a new perspective on the history of functional analysis.
This book is an outgrowth of the Workshop on "Regulators in Analysis, Geom etry and Number Theory" held at the Edmund Landau Center for Research in Mathematical Analysis of The Hebrew University of Jerusalem in 1996.
Green's Functions and Infinite Products provides a thorough introduction to the classical subjects of the construction of Green's functions for the two-dimensional Laplace equation and the infinite product representation of elementary functions.
This book introduces the notions and methods of formal logic from a computer science standpoint, covering propositional logic, predicate logic, and foundations of logic programming. It presents applications and themes of computer science research such as resolution, automated deduction, and logic programming in a rigorous but readable way.
The quantum groups discussed in this book are the quantized enveloping algebras introduced by Drinfeld and Jimbo in 1985, or variations thereof. This book will be of interest to mathematicians working in the representation theory of Lie groups and Lie algebras, knot theorists and to theoretical physicists and graduate students.
Translation of: Das Anthropische Prinzip.
This series of books, "Readings from the Encyclopedia of Neuroscience." The Encyclopedia of Neuroscience is a reference source and compendium of more than 700 articles written by world authorities and covering all of neuroscience.
Exploring the use of cellular automata in modeling pattern formation in biological systems, the 2nd edition describes mathematical modeling approaches using cellular automata that can be used to study the dynamics of interacting cell systems in simulation and in practice. New chapters cover cell migration, tissue development, and cancer dynamics.
This book explores the dynamics of quasi-integrable Hamiltonian systems, or integrable systems slightly perturbed by other forces, offering our solar system among its examples. Covers the frequency modified fourier transform, wavelets, and more.
This text on the living morphogenesis of the heart includes chapters on the following topics: morphoregulatory mechanisms underlying early heart development; formation and septation of the tubular heart; straight tube heart; and embryological development of the outlet of each ventricle.
This volume discusses B-cell destruction mechanisms in Type I diabetes, complications and therapeutic modalities in Type II diabetes, and specific topics in transgenic animal diabetes research.
Originally published in 1985, this classic textbook is an English translation of Einfuhrung in die kommutative Algebra und algebraische Geometrie. It presents areas of commutative algebra that are best understood together.
Various imperfections in existing market systems prevent the free market from serving as a truly efficient allocation mechanism, but optimization of economic activities provides an effective remedial measure.
* Presents a comprehensive treatment with a global view of the subject* Rich in examples, problems with hints, and solutions, the book makes a welcome addition to the library of every mathematician
With chapters on free boundaries, constitutive equations, stochastic dynamics, nonlinear diffusion-consumption, structured populations, and applications of optimal control theory, this volume presents the most significant recent results in the field of mathematical oncology.
Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics.
Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics.
Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics.
His contributions to many fields include representation theory, harmonic analysis, algebraic geometry, combinatorics, number theory, differential equations, Riemannian geometry, ring theory, and quantum information theory.
Since the parameters in dynamical systems of biological interest are inherently positive and bounded, bounded noises are a natural way to model the realistic stochastic fluctuations of a biological system that are caused by its interaction with the external world.
This monograph provides a detailed look at eddy viscosity models from theoretical and numerical angles. In particular, it gives a rigorous derivation of these models and shows through careful analysis how they can be applied to oceanic and atmospheric flows.
The third part further analyses the general structure of the classification diagram for variables and equations of physical theories.Suitable for a diverse audience of physicists, engineers, and mathematicians, The Mathematical Structure of Classical and Relativistic Physics offers a valuable resource for studying the physical world.
This book offers a thorough and updated guide to the theory and methods of progressive censoring, an area that has experienced tremendous growth over the last decade.
This two volume set presents over 50 of the most groundbreaking contributions of Menahem M Schiffer. All of the reprints of Schiffer's works herein have extensive annotation and invited commentaries, giving new clarity and insight into the impact and legacy of Schiffer's work.
This textbook, now in its third edition, offers a rigorous and self-contained introduction to the theory of continuous-time stochastic processes, stochastic integrals, and stochastic differential equations.
This book confronts the real possibility of a deliberate disruptive attack on power systems, with an array of modeling, monitoring and control innovations. The book is supplemented by a Mathematica package enabling readers to work out examples and problems.
This expanded second edition presents the fundamentals and touchstone results of real analysis in full rigor, but in a style that requires little prior familiarity with proofs or mathematical language. The text is a comprehensive and largely self-contained introduction to the theory of real-valued functions of a real variable.
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