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Author: Paolo Mancosu
Publisher: Oxford University Press on Demand
ISBN: 0199296456
Category : Philosophy
Languages : en
Pages : 460
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Book Description
There is an urgent need in philosophy of mathematics for new approaches which pay closer attention to mathematical practice. This book will blaze the trail: it offers philosophical analyses of important characteristics of contemporary mathematics and of many aspects of mathematical activity which escape purely formal logical treatment.
Author: Paolo Mancosu
Publisher: Oxford University Press on Demand
ISBN: 0199296456
Category : Philosophy
Languages : en
Pages : 460
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Book Description
There is an urgent need in philosophy of mathematics for new approaches which pay closer attention to mathematical practice. This book will blaze the trail: it offers philosophical analyses of important characteristics of contemporary mathematics and of many aspects of mathematical activity which escape purely formal logical treatment.
Author: Olivier Ramaré
Publisher: Springer Nature
ISBN: 3030731693
Category : Mathematics
Languages : en
Pages : 342
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Book Description
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.
Author: Università degli studi di Roma "La Sapienza." Dipartimento di matematica
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 696
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Book Description
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 2482
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Book Description
Author: Leonard Eugene Dickson
Publisher: Courier Corporation
ISBN: 0486154599
Category : Mathematics
Languages : en
Pages : 514
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Book Description
This 1st volume in the series History of the Theory of Numbers presents the material related to the subjects of divisibility and primality. This series is the work of a distinguished mathematician who taught at the University of Chicago for 4 decades and is celebrated for his many contributions to number theory and group theory. 1919 edition.
Author: José Burillo
Publisher: American Mathematical Soc.
ISBN: 0821833626
Category : Mathematics
Languages : en
Pages : 242
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Book Description
This volume presents articles by speakers and participants in two AMS special sessions, Geometric Group Theory and Geometric Methods in Group Theory, held respectively at Northeastern University (Boston, MA) and at Universidad de Sevilla (Spain). The expository and survey articles in the book cover a wide range of topics, making it suitable for researchers and graduate students interested in group theory.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 328
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Book Description
Author: Leonard Eugene Dickson
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 510
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Book Description
Author:
Publisher:
ISBN:
Category : Classification
Languages : en
Pages : 324
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Book Description
Author: Emmanuel Peyre
Publisher: Birkhäuser
ISBN: 3034883684
Category : Mathematics
Languages : en
Pages : 455
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Book Description
This book is devoted to the study of rational and integral points on higher-dimensional algebraic varieties. It contains carefully selected research papers addressing the arithmetic geometry of varieties which are not of general type, with an emphasis on how rational points are distributed with respect to the classical, Zariski and adelic topologies. The present volume gives a glimpse of the state of the art of this rapidly expanding domain in arithmetic geometry. The techniques involve explicit geometric constructions, ideas from the minimal model program in algebraic geometry as well as analytic number theory and harmonic analysis on adelic groups.
