Not Always Buried Deep
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Not Always Buried Deep
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Author : Paul Pollack
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-10-14
Not Always Buried Deep written by Paul Pollack 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 2009-10-14 with Mathematics categories.
Number theory is one of the few areas of mathematics where problems of substantial interest can be fully described to someone with minimal mathematical background. Solving such problems sometimes requires difficult and deep methods. But this is not a universal phenomenon; many engaging problems can be successfully attacked with little more than one's mathematical bare hands. In this case one says that the problem can be solved in an elementary way. Such elementary methods and the problems to which they apply are the subject of this book. Not Always Buried Deep is designed to be read and enjoyed by those who wish to explore elementary methods in modern number theory. The heart of the book is a thorough introduction to elementary prime number theory, including Dirichlet's theorem on primes in arithmetic progressions, the Brun sieve, and the Erdos-Selberg proof of the prime number theorem. Rather than trying to present a comprehensive treatise, Pollack focuses on topics that are particularly attractive and accessible. Other topics covered include Gauss's theory of cyclotomy and its applications to rational reciprocity laws, Hilbert's solution to Waring's problem, and modern work on perfect numbers. The nature of the material means that little is required in terms of prerequisites: The reader is expected to have prior familiarity with number theory at the level of an undergraduate course and a first course in modern algebra (covering groups, rings, and fields). The exposition is complemented by over 200 exercises and 400 references.
A Course In Analytic Number Theory
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Author : Marius Overholt
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-12-30
A Course In Analytic Number Theory written by Marius Overholt 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 2014-12-30 with Mathematics categories.
This book is an introduction to analytic number theory suitable for beginning graduate students. It covers everything one expects in a first course in this field, such as growth of arithmetic functions, existence of primes in arithmetic progressions, and the Prime Number Theorem. But it also covers more challenging topics that might be used in a second course, such as the Siegel-Walfisz theorem, functional equations of L-functions, and the explicit formula of von Mangoldt. For students with an interest in Diophantine analysis, there is a chapter on the Circle Method and Waring's Problem. Those with an interest in algebraic number theory may find the chapter on the analytic theory of number fields of interest, with proofs of the Dirichlet unit theorem, the analytic class number formula, the functional equation of the Dedekind zeta function, and the Prime Ideal Theorem. The exposition is both clear and precise, reflecting careful attention to the needs of the reader. The text includes extensive historical notes, which occur at the ends of the chapters. The exercises range from introductory problems and standard problems in analytic number theory to interesting original problems that will challenge the reader. The author has made an effort to provide clear explanations for the techniques of analysis used. No background in analysis beyond rigorous calculus and a first course in complex function theory is assumed.
Envoy Of The Black Pine
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Author : Clio Gray
language : en
Publisher: Hachette UK
Release Date : 2012-03-29
Envoy Of The Black Pine written by Clio Gray and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-29 with Fiction categories.
April 1808: A storm sweeps across the islands of the Baltic Sea, destroying the village of Lower Slaughter as it goes. Into this ruined land comes missing-persons finder Whilbert Stroop, on the trail of a lost miniature library and its protector. Almost crossing his path is Griselda Liit, a refugee from Lower Slaughter, carrying her father's secrets back to the island of her birth. Behind Griselda, in the shadows, a strange figure follows for a very different reason. Stroop's investigation will lead him from the flooded valley to sinister printworks, and to the strange island archipelago of Saaremaa in the Baltic Sea. Once there, he must unravel the increasingly tangled strands of past and present that surround the islands, and delve into a mysterious world of ancient Brotherhoods, insurrection, piracy, and death.
Analytic Number Theory For Beginners
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Author : Prapanpong Pongsriiam
language : en
Publisher: American Mathematical Society
Release Date : 2023-06-02
Analytic Number Theory For Beginners written by Prapanpong Pongsriiam and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-02 with Mathematics categories.
This new edition of Analytic Number Theory for Beginners presents a friendly introduction to analytic number theory for both advanced undergraduate and beginning graduate students, and offers a comfortable transition between the two levels. The text starts with a review of elementary number theory and continues on to present less commonly covered topics such as multiplicative functions, the floor function, the use of big $O$, little $o$, and Vinogradov notation, as well as summation formulas. Standard advanced topics follow, such as the Dirichlet $L$-function, Dirichlet's Theorem for primes in arithmetic progressions, the Riemann Zeta function, the Prime Number Theorem, and, new in this second edition, sieve methods and additive number theory. The book is self-contained and easy to follow. Each chapter provides examples and exercises of varying difficulty and ends with a section of notes which include a chapter summary, open questions, historical background, and resources for further study. Since many topics in this book are not typically covered at such an accessible level, Analytic Number Theory for Beginners is likely to fill an important niche in today's selection of titles in this field.
The Athen Um
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Author :
language : en
Publisher:
Release Date : 1881
The Athen Um written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1881 with categories.
Excursions In Multiplicative Number Theory
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Author : Olivier Ramaré
language : en
Publisher: Springer Nature
Release Date : 2022-03-03
Excursions In Multiplicative Number Theory written by Olivier Ramaré and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-03 with Mathematics categories.
This textbook offers a unique exploration of analytic number theory that is focused on explicit and realistic numerical bounds. By giving precise proofs in simplified settings, the author strategically builds practical tools and insights for exploring the behavior of arithmetical functions. An active learning style is encouraged across nearly three hundred exercises, making this an indispensable resource for both students and instructors. Designed to allow readers several different pathways to progress from basic notions to active areas of research, the book begins with a study of arithmetic functions and notions of arithmetical interest. From here, several guided “walks” invite readers to continue, offering explorations along three broad themes: the convolution method, the Levin–Faĭnleĭb theorem, and the Mellin transform. Having followed any one of the walks, readers will arrive at “higher ground”, where they will find opportunities for extensions and applications, such as the Selberg formula, Brun’s sieve, and the Large Sieve Inequality. Methodology is emphasized throughout, with frequent opportunities to explore numerically using computer algebra packages Pari/GP and Sage. Excursions in Multiplicative Number Theory is ideal for graduate students and upper-level undergraduate students who are familiar with the fundamentals of analytic number theory. It will also appeal to researchers in mathematics and engineering interested in experimental techniques in this active area.
Philippine Gay Culture
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Author : J. Neil C. Garcia
language : en
Publisher: Hong Kong University Press
Release Date : 2009-06-01
Philippine Gay Culture written by J. Neil C. Garcia and has been published by Hong Kong University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-01 with Social Science categories.
The book is a descriptive survey of popular and academic writings on and by Filipino male homosexuals, as well as a genealogy of discourses of male homosexuality and the bakla and/or gay identities that emerged in urban Philippines from the1960s to the present. This conceptual history engages recent events in the Philippines' sexually self-aware present, but also explores colonial history in showing how modernity implanted a new sexual order of "homo/hetero" and further marginalized the effeminate local identity of bakla.
All The Year Round
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Author : Charles Dickens
language : en
Publisher:
Release Date : 1879
All The Year Round written by Charles Dickens and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1879 with categories.
The Athenaeum
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Author :
language : en
Publisher:
Release Date : 1881
The Athenaeum written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1881 with categories.
Mining Petroleum By Underground Methods
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Author : Carl Ernest Reistle
language : en
Publisher:
Release Date : 1932
Mining Petroleum By Underground Methods written by Carl Ernest Reistle and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1932 with Alkanes categories.