Diophantine Analysis And Related Fields 2011 Darf 2011
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Diophantine Analysis And Related Fields 2011 Darf 2011
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Author : Amou Masaaki
language : en
Publisher: American Institute of Physics
Release Date : 2011-10-04
Diophantine Analysis And Related Fields 2011 Darf 2011 written by Amou Masaaki and has been published by American Institute of Physics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-04 with Science categories.
The book covers the topics mainly from analytic number theory; its scope ranges from Diophantine approximations and equations, together with their applications, and transcendence theory to various zeta functions. The book is especially useful for the front researchers and graduate students who are interested in number theory and its relevant areas.
Multiple Zeta Functions Multiple Polylogarithms And Their Special Values
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Author : Jianqiang Zhao
language : en
Publisher: World Scientific
Release Date : 2016-03-07
Multiple Zeta Functions Multiple Polylogarithms And Their Special Values written by Jianqiang Zhao and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-07 with Mathematics categories.
This is the first introductory book on multiple zeta functions and multiple polylogarithms which are the generalizations of the Riemann zeta function and the classical polylogarithms, respectively, to the multiple variable setting. It contains all the basic concepts and the important properties of these functions and their special values. This book is aimed at graduate students, mathematicians and physicists who are interested in this current active area of research.The book will provide a detailed and comprehensive introduction to these objects, their fascinating properties and interesting relations to other mathematical subjects, and various generalizations such as their q-analogs and their finite versions (by taking partial sums modulo suitable prime powers). Historical notes and exercises are provided at the end of each chapter.
Infinity
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Author : Michael Heller
language : en
Publisher: Cambridge University Press
Release Date : 2014-01-02
Infinity written by Michael Heller and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-02 with Mathematics categories.
"The infinite! No other question has ever moved so profoundly the spirit of man; no other idea has so fruitfully stimulated his intellect; yet no other concept stands in greater need of clarification than that of the infinite." - David Hilbert This interdisciplinary study of infinity explores the concept through the prism of mathematics and then offers more expansive investigations in areas beyond mathematical boundaries to reflect the broader, deeper implications of infinity for human intellectual thought. More than a dozen world‐renowned researchers in the fields of mathematics, physics, cosmology, philosophy, and theology offer a rich intellectual exchange among various current viewpoints, rather than displaying a static picture of accepted views on infinity. The book starts with a historical examination of the transformation of infinity from a philosophical and theological study to one dominated by mathematics. It then offers technical discussions on the understanding of mathematical infinity. Following this, the book considers the perspectives of physics and cosmology: Can infinity be found in the real universe? Finally, the book returns to questions of philosophical and theological aspects of infinity.
Mass Spectrometry
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Author : Jürgen H Gross
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-05
Mass Spectrometry written by Jürgen H Gross and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-05 with Science categories.
Mass Spectrometry is an ideal textbook for students and professionals as well as newcomers to the field. Starting from the very first principles of gas-phase ion chemistry and isotopic properties, the textbook takes the reader through the design of mass analyzers and ionization methods all the way to mass spectral interpretation and coupling techniques. Step-by-step, the reader learns how mass spectrometry works and what it can do. The book comprises a balanced mixture of practice-oriented information and theoretical background. It features a clear layout and a wealth of high-quality figures. Exercises and solutions are located on the Springer Global Web.
Random Walks And Electric Networks
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Author : Peter G. Doyle
language : en
Publisher: American Mathematical Soc.
Release Date : 1984-12-31
Random Walks And Electric Networks written by Peter G. Doyle and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-12-31 with Electric network topology categories.
Probability theory, like much of mathematics, is indebted to physics as a source of problems and intuition for solving these problems. Unfortunately, the level of abstraction of current mathematics often makes it difficult for anyone but an expert to appreciate this fact. Random Walks and electric networks looks at the interplay of physics and mathematics in terms of an example—the relation between elementary electric network theory and random walks —where the mathematics involved is at the college level.
Number Theory
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Author : Andrej Dujella
language : en
Publisher:
Release Date : 2021
Number Theory written by Andrej Dujella and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
Algebraic Number Theory And Diophantine Analysis
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Author : Franz Halter-Koch
language : en
Publisher: Walter de Gruyter
Release Date : 2000
Algebraic Number Theory And Diophantine Analysis written by Franz Halter-Koch and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Elliptic Tales
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Author : Avner Ash
language : en
Publisher: Princeton University Press
Release Date : 2012
Elliptic Tales written by Avner Ash and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
Describes the latest developments in number theory by looking at the Birch and Swinnerton-Dyer Conjecture.
Reciprocity Laws
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Author : Franz Lemmermeyer
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Reciprocity Laws written by Franz Lemmermeyer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
This book covers the development of reciprocity laws, starting from conjectures of Euler and discussing the contributions of Legendre, Gauss, Dirichlet, Jacobi, and Eisenstein. Readers knowledgeable in basic algebraic number theory and Galois theory will find detailed discussions of the reciprocity laws for quadratic, cubic, quartic, sextic and octic residues, rational reciprocity laws, and Eisensteins reciprocity law. An extensive bibliography will be of interest to readers interested in the history of reciprocity laws or in the current research in this area.
Markov S Theorem And 100 Years Of The Uniqueness Conjecture
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Author : Martin Aigner
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-18
Markov S Theorem And 100 Years Of The Uniqueness Conjecture written by Martin Aigner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-18 with Mathematics categories.
This book takes the reader on a mathematical journey, from a number-theoretic point of view, to the realm of Markov’s theorem and the uniqueness conjecture, gradually unfolding many beautiful connections until everything falls into place in the proof of Markov’s theorem. What makes the Markov theme so attractive is that it appears in an astounding variety of different fields, from number theory to combinatorics, from classical groups and geometry to the world of graphs and words. On the way, there are also introductory forays into some fascinating topics that do not belong to the standard curriculum, such as Farey fractions, modular and free groups, hyperbolic planes, and algebraic words. The book closes with a discussion of the current state of knowledge about the uniqueness conjecture, which remains an open challenge to this day. All the material should be accessible to upper-level undergraduates with some background in number theory, and anything beyond this level is fully explained in the text. This is not a monograph in the usual sense concentrating on a specific topic. Instead, it narrates in five parts – Numbers, Trees, Groups, Words, Finale – the story of a discovery in one field and its many manifestations in others, as a tribute to a great mathematical achievement and as an intellectual pleasure, contemplating the marvellous unity of all mathematics.