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Riemann’s Boundary Problem with Infinite Index

Riemann’s Boundary Problem with Infinite Index
Author: Nikolaj V. Govorov
Publisher: Birkhäuser
Total Pages: 264
Release: 2012-12-06
Genre: Mathematics
ISBN: 3034885067

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native settlement, in 1950 he graduated - as an extramural studen- from Groznyi Teachers College and in 1957 from Rostov University. He taught mathematics in Novocherkask Polytechnic Institute and its branch in the town of Shachty. That was when his mathematical talent blossomed and he obtained the main results given in the present monograph. In 1969 N. V. Govorov received the degree of Doctor of Mathematics and the aca demic rank of a Professor. From 1970 until his tragic death on 24 April 1981, N. V. Govorov worked as Head of the Department of Mathematical Anal ysis of Kuban' University actively engaged in preparing new courses and teaching young mathematicians. His original mathematical talent, vivid reactions, kindness bordering on self-sacrifice made him highly respected by everybody who knew him. In preparing this book for publication I was given substantial assistance by E. D. Fainberg and A. I. Heifiz, while V. M. Govorova took a significant part of the technical work with the manuscript. Professor C. Prather con tributed substantial assistance in preparing the English translation of the book. I. V. Ostrovskii. PREFACE The classic statement of the Riemann boundary problem consists in finding a function (z) which is analytic and bounded in two domains D+ and D-, with a common boundary - a smooth closed contour L admitting a continuous extension onto L both from D+ and D- and satisfying on L the boundary condition +(t) = G(t)-(t) + g(t).


The Infinite Boundary

The Infinite Boundary
Author: D. Scott Rogo
Publisher: W. Clement Stone
Total Pages:
Release: 1989-01-01
Genre:
ISBN: 9780396094012

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The Infinite Boundary

The Infinite Boundary
Author: D. Scott Rogo
Publisher:
Total Pages: 315
Release: 1987
Genre: Demoniac possession
ISBN: 9780850307351

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The Infinite Book

The Infinite Book
Author: John D. Barrow
Publisher: Vintage
Total Pages: 293
Release: 2007-12-18
Genre: Philosophy
ISBN: 0307428761

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For a thousand years, infinity has proven to be a difficult and illuminating challenge for mathematicians and theologians. It certainly is the strangest idea that humans have ever thought. Where did it come from and what is it telling us about our Universe? Can there actually be infinities? Is matter infinitely divisible into ever-smaller pieces? But infinity is also the place where things happen that don't. All manner of strange paradoxes and fantasies characterize an infinite universe. If our Universe is infinite then an infinite number of exact copies of you are, at this very moment, reading an identical sentence on an identical planet somewhere else in the Universe. Now Infinity is the darling of cutting edge research, the measuring stick used by physicists, cosmologists, and mathematicians to determine the accuracy of their theories. From the paradox of Zeno’s arrow to string theory, Cambridge professor John Barrow takes us on a grand tour of this most elusive of ideas and describes with clarifying subtlety how this subject has shaped, and continues to shape, our very sense of the world in which we live. The Infinite Book is a thoroughly entertaining and completely accessible account of the biggest subject of them all–infinity.


Solving Frontier Problems of Physics: The Decomposition Method

Solving Frontier Problems of Physics: The Decomposition Method
Author: G. Adomian
Publisher: Springer Science & Business Media
Total Pages: 367
Release: 2013-06-29
Genre: Science
ISBN: 9401582890

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The Adomian decomposition method enables the accurate and efficient analytic solution of nonlinear ordinary or partial differential equations without the need to resort to linearization or perturbation approaches. It unifies the treatment of linear and nonlinear, ordinary or partial differential equations, or systems of such equations, into a single basic method, which is applicable to both initial and boundary-value problems. This volume deals with the application of this method to many problems of physics, including some frontier problems which have previously required much more computationally-intensive approaches. The opening chapters deal with various fundamental aspects of the decomposition method. Subsequent chapters deal with the application of the method to nonlinear oscillatory systems in physics, the Duffing equation, boundary-value problems with closed irregular contours or surfaces, and other frontier areas. The potential application of this method to a wide range of problems in diverse disciplines such as biology, hydrology, semiconductor physics, wave propagation, etc., is highlighted. For researchers and graduate students of physics, applied mathematics and engineering, whose work involves mathematical modelling and the quantitative solution of systems of equations.


The Infinite Boundary

The Infinite Boundary
Author: D Scott Rogo
Publisher:
Total Pages:
Release: 1987-10-01
Genre:
ISBN: 9785550663783

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Touching the Infinite

Touching the Infinite
Author: Rodney Smith
Publisher: Shambhala Publications
Total Pages: 290
Release: 2017-10-31
Genre: Religion
ISBN: 1611805023

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An Insight Meditation teacher explores the Four Foundations of Mindfulness, an essential teaching that transcends all Buddhist traditions and provides a path to true liberation Awakening manifests through the application of mindfulness to four areas: body, feelings, mind, and dharmas. Buddhists of all the traditions share this foundational principle, which is defined in the Satipatthana Sutta and has been expounded upon since the time of the Buddha himself. In Touching the Infinite, Rodney Smith guides readers through the Four Foundations to provide a solid understanding of the teaching. He goes on to challenge us to hold this teaching up against our own experience—and in doing so, to discover the inherent interconnection of all Four Foundations. They are a sequential path that reveal the true nature of things, leading the practitioner to the perception of the formless and then back to daily life infused with that great freedom. The Four Foundations of Mindfulness thus serve as a road map for any genuine spiritual path.


Random Walks on Infinite Graphs and Groups

Random Walks on Infinite Graphs and Groups
Author: Wolfgang Woess
Publisher: Cambridge University Press
Total Pages: 350
Release: 2000-02-13
Genre: Mathematics
ISBN: 0521552923

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The main theme of this book is the interplay between the behaviour of a class of stochastic processes (random walks) and discrete structure theory. The author considers Markov chains whose state space is equipped with the structure of an infinite, locally finite graph, or as a particular case, of a finitely generated group. The transition probabilities are assumed to be adapted to the underlying structure in some way that must be specified precisely in each case. From the probabilistic viewpoint, the question is what impact the particular type of structure has on various aspects of the behaviour of the random walk. Vice-versa, random walks may also be seen as useful tools for classifying, or at least describing the structure of graphs and groups. Links with spectral theory and discrete potential theory are also discussed. This book will be essential reading for all researchers working in stochastic process and related topics.


Confronting The Infinite - Proceedings Of A Conference In Celebration Of The Years Of H S Green And C A Hurst

Confronting The Infinite - Proceedings Of A Conference In Celebration Of The Years Of H S Green And C A Hurst
Author: Paul A Pearce
Publisher: World Scientific
Total Pages: 334
Release: 1995-10-31
Genre:
ISBN: 9814548677

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In 1992, students of Bert Green and Angas Hurst conceived the idea of a meeting to commemorate their contributions to Mathematical Physics and to celebrate their passing the milestone of three score years and ten.In designing the scientific program there were two objectives. The first was to cover the full breadth of research in Mathematical Physics at Adelaide University since the founding of the Department of Mathematical Physics with the appointment of Professor Green in 1952. The second was to seek original contributions in areas of current interest and rapid development. The underlying theme was the interaction of mathematics and physics in the key areas of relativity, quantum field theory and statistical physics.The contributions to this volume consist of papers describing the historical development of ideas in which Adelaide mathematical physicists have played a role, surveys, research announcements and of course original research. The influence of Bert and Angas on the research results and themes developed in this volume is easily seen through the historical or survey material or because some papers describe work in which one or other is a past or indeed present collaborator.


Numerical Methods for Problems in Infinite Domains

Numerical Methods for Problems in Infinite Domains
Author: D. Givoli
Publisher: Elsevier
Total Pages: 316
Release: 2013-10-22
Genre: Mathematics
ISBN: 1483291081

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This volume reviews and discusses the main numerical methods used today for solving problems in infinite domains. It also presents in detail one very effective method in this class, namely the Dirichlet-to-Neumann (DtN) finite element method. The book is intended to provide the researcher or engineer with the state-of-the-art in numerical solution methods for infinite domain problems, such as the problems encountered in acoustics and structural acoustics, fluid dynamics, meteorology, and many other fields of application. The emphasis is on the fundamentals of the various methods, and on reporting recent progress and forecasting future directions. An appendix at the end of the book provides an introduction to the essentials of the finite element method, and suggests a short list of texts on the subject which are categorized by their level of mathematics.