Riemann’s Boundary Problem with Infinite Index

Riemann’s Boundary Problem with Infinite Index PDF

Author: Nikolaj V. Govorov

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 264

ISBN-13: 3034885067

DOWNLOAD EBOOK →

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 Book

The Infinite Book PDF

Author: John D. Barrow

Publisher: Vintage

Published: 2007-12-18

Total Pages: 293

ISBN-13: 0307428761

DOWNLOAD EBOOK →

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 PDF

Author: G. Adomian

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 367

ISBN-13: 9401582890

DOWNLOAD EBOOK →

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.

Touching the Infinite

Touching the Infinite PDF

Author: Rodney Smith

Publisher: Shambhala Publications

Published: 2017-10-31

Total Pages: 290

ISBN-13: 1611805023

DOWNLOAD EBOOK →

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.

Finite and Infinite Games

Finite and Infinite Games PDF

Author: James Carse

Publisher: Simon and Schuster

Published: 2011-10-11

Total Pages: 155

ISBN-13: 1451657293

DOWNLOAD EBOOK →

“There are at least two kinds of games,” states James P. Carse as he begins this extraordinary book. “One could be called finite; the other infinite. A finite game is played for the purpose of winning, an infinite game for the purpose of continuing the play.” Finite games are the familiar contests of everyday life; they are played in order to be won, which is when they end. But infinite games are more mysterious. Their object is not winning, but ensuring the continuation of play. The rules may change, the boundaries may change, even the participants may change—as long as the game is never allowed to come to an end. What are infinite games? How do they affect the ways we play our finite games? What are we doing when we play—finitely or infinitely? And how can infinite games affect the ways in which we live our lives? Carse explores these questions with stunning elegance, teasing out of his distinctions a universe of observation and insight, noting where and why and how we play, finitely and infinitely. He surveys our world—from the finite games of the playing field and playing board to the infinite games found in culture and religion—leaving all we think we know illuminated and transformed. Along the way, Carse finds new ways of understanding everything, from how an actress portrays a role to how we engage in sex, from the nature of evil to the nature of science. Finite games, he shows, may offer wealth and status, power and glory, but infinite games offer something far more subtle and far grander. Carse has written a book rich in insight and aphorism. Already an international literary event, Finite and Infinite Games is certain to be argued about and celebrated for years to come. Reading it is the first step in learning to play the infinite game.

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 PDF

Author: Paul A Pearce

Publisher: World Scientific

Published: 1995-10-31

Total Pages: 334

ISBN-13: 9814548677

DOWNLOAD EBOOK →

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.