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This book offers a thorough, concise, and rigorous treatment of the essential aspects of the theory of integral equations. Includes nearly 300 exercises specifically constructed to enhance the understanding of both routine and challenging concepts.
Over the last 20 years, multiscale methods and wavelets have revolutionized the field of applied mathematics by providing an efficient means of encoding isotropic phenomena.
Aimed primarily at a broad community of graduate students in mathematics, mathematical physics, physics and engineering, as well as researchers in these disciplines.
This unique monograph building bridges among a number of different areas of mathematics such as algebra, topology, and category theory.
This self-contained text presents quantum mechanics from the point of view of some computational examples with a mixture of mathematical clarity often not found in texts offering only a purely physical point of view.
Mathematical Analysis: Foundations and Advanced Techniques for Functions of Several Variables builds upon the basic ideas and techniques of differential and integral calculus for functions of several variables, as outlined in an earlier introductory volume.
The articles in this volume are invited papers from the Marcus Wallenberg symposium and focus on research topics that bridge the gap between analysis, geometry, and topology. Topics include new developments in low dimensional topology related to invariants of links and three and four manifolds;
Increasingly important in the field of communications, the study of time and band limiting is crucial for the modeling and analysis of multiband signals.
This unique two-volume set presents the subjects of stochastic processes, information theory, and Lie groups in a unified setting, thereby building bridges between fields that are rarely studied by the same people.
I received my first introduction to the brain sciences in 1936 and 1937, for me the second and third years of the 7-year medical school curriculum at the University of Leiden.
A monograph that examines in detail two aspects in the field of interpolation of functions - the Global Smoothness Preservation Property (GSPP) and the Shape Preservation Property (SPP). It is accompanied by numerous open problems, an updated set of references, and an appendix featuring illustrations of nine types of Shepard surfaces.
Winner of the 1983 National Book Award, The Mathematical Experience conveyed the power and beauty of its topic to a broad audience. The study version added exercises and other classroom aids. This softcover edition includes new epilogues by the original authors.
The theory of switched systems is related to the study of hybrid systems, which has gained attention from control theorists, computer scientists, and practicing engineers.
Supplementary files run on UNIX and Windows 95/98/NT
The need for improved mathematics education at the high school and college levels has never been more apparent than in the 1990s. Teachers of mathematics will find here a fresh understanding of the subject and a valuable path to the training of students in mathematical concepts and skills.
Covering key areas of optimal control theory, this book uses new methods to set out a version of OCT's more refined 'maximum principle' aimed at solving the problem of constructing optimal control strategies for uncertain systems with some unknown parameters.
Using an original mode of presentation, and emphasizing the computational nature of the subject, this book explores a number of the unsolved problems that still exist in coding theory.
Wallis's book on discrete mathematics is a resource for an introductory course in a subject fundamental to both mathematics and computer science, a course that is expected not only to cover certain specific topics but also to introduce students to important modes of thought specific to each discipline .
In its revised and enlarged third edition, this book presents a comprehensive and systematic treatment of linear and nonlinear partial differential equations, with their varied and updated applications. Improves on an already thorough and accessible resource.
Richard Trudeau confronts the fundamental question of truth and its representation through mathematical models in The Non-Euclidean Revolution. second, he examines a revolution every bit as significant as the Copernican revolution in astronomy and the Darwinian revolution in biology;
Using a computational algebra approach, this comprehensive text addresses the center and cyclicity problems as behaviors of dynamical systems and families of polynomial systems.
Hans Duistermaat, an influential geometer-analyst, made substantial contributions to the theory of ordinary and partial differential equations, symplectic, differential, and algebraic geometry, minimal surfaces, semisimple Lie groups, mechanics, mathematical physics, and related fields.
This book illustrates the application of integral methods to problems in mathematics, physics, biology and engineering, presenting a vivid picture of the development of theoretical integral techniques and their use in specific science and engineering problems.
Many problems in mathematical physics rely heavily on the use of elliptical partial differential equations, and boundary integral methods play a significant role in solving these equations.
A tightly organized collection of carefully-selected papers on the subject, Towards an Information Theory of Complex Networks: Statistical Methods and Applications presents theoretical and practical results about information-theoretic and statistical models of complex networks in the natural sciences and humanities.
Mathematical Olympiad Treasures aims at building a bridge between ordinary high school exercises and more sophisticated, intricate and abstract concepts in undergraduate mathematics.
Key topics discussed include spherical varieties, Littelmann Paths and Kac-Moody Lie algebras, modular representations, primitive ideals, representation theory of Artin algebras and quivers, Kac-Moody superalgebras, categories of Harish-Chandra modules, cohomological methods, and cluster algebras.
Fundamentals of Group Theory provides a comprehensive account of the basic theory of groups. Group Theory is a timely and fundamental addition to literature in the study of groups.
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