Описание: The definitive story of the Riemann Hypothesis, a fascinating and epic mathematical mystery that continues to challege the world. In 1859, Bernhard Riemann, a little-known thirty-two year old mathematician, made a hypothesis while presenting a paper to the Berlin Academy titled "On the Number of Prime Numbers Less Than a Given Quantity." Today, after 150 years of careful research and exhaustive study, the Riemann Hyphothesis remains unsolved, with a one-million-dollar prize earmarked for the first person to conquer it.
Alternating passages of extraordinarily lucid mathematical exposition with chapters of elegantly composed biography and history, Prime Obsession is a fascinating and fluent account of an epic mathematical mystery that continues to challenge and excite the world.
Автор: Paraskevas Alvanos Название: Riemann-Roch Spaces and Computation ISBN: 3110426137 ISBN-13(EAN): 9783110426137 Издательство: Walter de Gruyter Рейтинг: Цена: 7429.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book focuses on the educational perspective of Riemann-Roch spaces and the computation of algebraic structures connected to the Riemann-Roch theorem, which is a useful tool in fields of complex analysis and algebraic geometry. On one hand, the theorem connects the Riemann surface with its topological genus, and on the other it allows us to compute the algebraic function field spaces. In the first part of this book, algebraic structures and some of their properties are presented. The second part shows efficient algorithms and examples connected to Riemann-Roch spaces. What is important, a variety of examples with codes of algorithms are given in the book, covering the majority of the cases.
In this monograph, we study recent results on some categories of trigonometric/exponential sums along with various of their applications in Mathematical Analysis and Analytic Number Theory. Through the two chapters of this monograph, we wish to highlight the applicability and breadth of techniques of trigonometric/exponential sums in various problems focusing on the interplay of Mathematical Analysis and Analytic Number Theory. We wish to stress the point that the goal is not only to prove the desired results, but also to present a plethora of intermediate Propositions and Corollaries investigating the behaviour of such sums, which can also be applied in completely different problems and settings than the ones treated within this monograph.
In the present work we mainly focus on the applications of trigonometric/exponential sums in the study of Ramanujan sums - which constitute a very classical domain of research in Number Theory - as well as the study of certain cotangent sums with a wide range of applications, especially in the study of Dedekind sums and a facet of the research conducted on the Riemann Hypothesis. For example, in our study of the cotangent sums treated within the second chapter, the methods and techniques employed reveal unexpected connections with independent and very interesting problems investigated in the past by R de la Bretиche and G Tenenbaum on trigonometric series, as well as by S Marmi, P Moussa and J-C Yoccoz on Dynamical Systems.
Overall, a reader who has mastered fundamentals of Mathematical Analysis, as well as having a working knowledge of Classical and Analytic Number Theory, will be able to gradually follow all the parts of the monograph. Therefore, the present monograph will be of interest to advanced undergraduate and graduate students as well as researchers who wish to be informed on the latest developments on the topics treated.
Описание: DESCRIPTION OF BOOKThis book takes an analytical look at mathematics and provides some important suggestions. It also points towards a better way of thinking. Hopefully, this will induce the reader to be a better thinker, at least mathematically.The book also ambitiously tackles the question of the Riemann hypothesis which represents the most important and deepest problem in mathematics, providing the solutions to this important problem. Importantly, the book aims to guide the reader towards greater clarity of thought and a greater understanding of the Riemann hypothesis by carefully explaining what the hypothesis is about. As there is evidently a lot of mystery surrounding the Riemann hypothesis, the book should help to clear up this mystery.JEFFREY TODD, PH.D., is a professor and an author of many books. He is also an expert on the prime numbers and has published several important papers on the prime numbers in mathematics journals.
Автор: John Ting, Ting Название: Creed Odyssey in Mathematics and Medicine series ISBN: 1710377836 ISBN-13(EAN): 9781710377835 Издательство: Неизвестно Рейтинг: Цена: 2155.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Gray Jeremy Название: Simply Riemann ISBN: 1943657211 ISBN-13(EAN): 9781943657216 Издательство: Неизвестно Рейтинг: Цена: 1378.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Born to a poor Lutheran pastor in what is today the Federal Republic of Germany, Bernhard Riemann (1826-1866) was a child math prodigy who began studying for a degree in theology before formally committing to mathematics in 1846, at the age of 20. Though he would live for only another 20 years (he died of pleurisy during a trip to Italy), his seminal work in a number of key areas--several of which now bear his name--had a decisive impact on the shape of mathematics in the succeeding century and a half.
In Simply Riemann, author Jeremy Gray provides a comprehensive and intellectually stimulating introduction to Riemann's life and paradigm-defining work. Beginning with his early influences--in particular his relationship with his renowned predecessor Carl Friedrich Gauss--Gray goes on to explore Riemann's specific contributions to geometry, functions of a complex variable, prime numbers, and functions of a real variable, which opened the way to discovering the limits of the calculus. He shows how without Riemannian geometry, cosmology after Einstein would be unthinkable, and he illuminates the famous Riemann hypothesis, which is regarded by many as the most important unsolved problem in mathematics today.
With admirable concision and clarity, Simply Riemann opens the door on one of the most profound and original thinkers of the 19th century--a man who pioneered the concept of a multidimensional reality and who always saw his work as another way to serve God.
Автор: Riemann, Me-linh Hannah Название: Leaving spain biographical study an ep ISBN: 9462703280 ISBN-13(EAN): 9789462703285 Издательство: Неизвестно Рейтинг: Цена: 7932.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Life histories and experiences of Spanish migrants
Since the beginning of the economic crisis of 2008, Spain, like other Southern European countries, has witnessed a mass departure of mostly young people looking for opportunities abroad. Leaving Spain is based on 58 autobiographical narrative interviews with recent Spanish migrants who went to the UK and Germany, and sometimes returned. By presenting a combination of in-depth case studies and comparative analyses, the author demonstrates the potential of biographical research and narrative analysis in studying contemporary Europe, including its overlapping crises. The scope of the sociological study is not limited to examining how those who left Spain experienced single phases of their migration. Instead, it focuses on the significance of migration projects in the context of their life histories and how they make sense of these experiences in retrospect.
This book will not only be of great interest to social scientists and students in different disciplines and interdisciplinary studies such as sociology, anthropology, human geography, European studies, education, and social work, but also to professionals, European and national policy makers, and those interested in learning more about migrants' experiences, perspectives, and (often invisible) contributions.
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