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Concisely written, gentle introduction to graph theory suitable as a textbook or for self-studyGraph-theoretic applications from diverse fields (computer science, engineering, chemistry, management science)2nd ed.
This book introduces the study of knots, providing insights into recent applications in DNA research and graph theory. It sets forth fundamental facts such as knot diagrams, braid representations, Seifert surfaces, tangles, and Alexander polynomials. Numerous diagrams and exercises help readers understand and apply the theory.
In the 1980s the revolutions of molecular biology have been applied aggressively to the neurosciences with molecular cloning for neuropeptide precursors, many important neurochemical en zymes, and receptors for numerous transmitters.
It is only in the last two decades that "molecular pharmacology" has blossomed, first with the advent of radioligand binding techniques and second messenger studies which greatly facilitated the biochemical study of drug-receptor interactions, and latterly with increasing knowledge of the molecular architecture of the receptor proteins themselves.
Reprinted as it originally appeared in the 1990s, this work is as an affordable text that will be of interest to a range of researchers in geometric analysis and mathematical physics.
Part I deals with the Hille--Yosida and Lumer--Phillips characterizations of semigroup generators, the Trotter--Kato approximation theorem, Kato's unified treatment of the exponential formula and the Trotter product formula, the Hille--Phillips perturbation theorem, and Stone's representation of unitary semigroups.
This monograph focuses on the geometric theory of motivic integration, which takes its values in the Grothendieck ring of varieties. With its extensive discussion of preliminaries and applications, this book is an ideal resource for graduate students of algebraic geometry and researchers of motivic integration.
The theory and applications of finite tight frames has developed rapidly in recent years. This text offers an overview of the field and discusses future research directions. It includes exercises, MATLAB examples for classroom use, and numerous illustrations.
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 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 integrated book begins by discussing Fourier series, Hilbert spaces and the Fourier transform on the real line, and then turns to the heart of the text, geometric considerations. The concept of orthogonality weaves the material into a coherent whole.
In recent years there has been intense interest in the basic mechanisms of epilepsy.
The theory of the top, originally made public as a lecture by Felix Klein at the University of Goettingen in 1895, was improved by Klein's collaboration with Arnold Sommerfeld. This volume provides a thorough and insightful account and includes recent advances.
This book provides an original look at the application of mathematical tools to specific questions in oncology. It presents mathematical methods most suitable for modeling different types of cancer treatment, from chemotherapy to antiangiogenic strategies.
This book synthesizes such tools as Hamilton-Jacobi-Isaacs partial differential inequalities and Linear Matrix Inequalities to focus on electromechanical applications with nonsmooth phenomena caused by dry friction, backlash, and sampled-data measurements.
Rational Homotopy Theory and Differential Forms
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.
Featuring research from experts in sliding mode control, this book presents new design schemes for implementing an optimal control having the output system as the only information of the vector state. The benefit is greater applicability to real-world systems.
First released in 1991, this book surveys problems of nonintersection of random walks and the self-avoiding walk. Covers discrete harmonic measure; probability that independent random walks do not intersect and properties of walks without self-intersections.
The revised and expanded edition of this textbook presents concepts and applications of random processes with the addition of material on biological modeling. While still treating many problems in fields such as engineering and mathematical physics, the book also focuses on the topics of cancerous mutations, influenza evolution, drug resistance, and immune response.
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.
Written by seven of the most prominent pioneers of the interval market model and game-theoretic approach to finance, this book provides a detailed account of several closely related modeling techniques for an array of problems in mathematical economics.
Featuring a problem-solving approach to linear algebra, this work aims to develop the theoretical foundations of vector spaces, linear equations, matrix algebra, eigen vectors, and orthogonality. It also emphasizes applications and connections to fields such as biology, economics, computer graphics, cryptography, and political science.
This book lays a comprehensive theoretical foundation for the study of networked control systems, and introduces tools for work in the field. Covers characterization, comparison and design of information structures in static and dynamic teams and much more.
Volume 2
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