Search Results for "experiment-number-theory-oxford-graduate-texts-in-mathematics"

Experimental Number Theory

Experimental Number Theory

  • Author: Fernando Rodriguez Villegas
  • Publisher: Oxford University Press
  • ISBN: 0198528221
  • Category: Mathematics
  • Page: 214
  • View: 2047
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This graduate text shows how the computer can be used as a tool for research in number theory through numerical experimentation. Examples of experiments in binary quadratic forms, zeta functions of varieties over finite fields, elementary class field theory, elliptic units, modular forms, are provided along with exercises and selected solutions.

Modular Forms

Modular Forms

A Classical and Computational Introduction Second Edition

  • Author: L J P Kilford
  • Publisher: World Scientific Publishing Company
  • ISBN: 1783265477
  • Category: Mathematics
  • Page: 252
  • View: 3575
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Modular Forms is a graduate student-level introduction to the classical theory of modular forms and computations involving modular forms, including modular functions and the theory of Hecke operators. It also includes applications of modular forms to various subjects, such as the theory of quadratic forms, the proof of Fermat's Last Theorem and the approximation of π. The text gives a balanced overview of both the theoretical and computational sides of its subject, allowing a variety of courses to be taught from it. This second edition has been revised and updated. New material on the future of modular forms as well as a chapter about longer-form projects for students has also been added.

Women in Numbers 2: Research Directions in Number Theory

Women in Numbers 2: Research Directions in Number Theory

  • Author: Chantal David,Matilde Lalín, Michelle Manes
  • Publisher: American Mathematical Soc.
  • ISBN: 1470410222
  • Category: Mathematics
  • Page: 206
  • View: 6771
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The second Women in Numbers workshop (WIN2) was held November 6-11, 2011, at the Banff International Research Station (BIRS) in Banff, Alberta, Canada. During the workshop, group leaders presented open problems in various areas of number theory, and working groups tackled those problems in collaborations begun at the workshop and continuing long after. This volume collects articles written by participants of WIN2. Survey papers written by project leaders are designed to introduce areas of active research in number theory to advanced graduate students and recent PhDs. Original research articles by the project groups detail their work on the open problems tackled during and after WIN2. Other articles in this volume contain new research on related topics by women number theorists. The articles collected here encompass a wide range of topics in number theory including Galois representations, the Tamagawa number conjecture, arithmetic intersection formulas, Mahler measures, Newton polygons, the Dwork family, elliptic curves, cryptography, and supercongruences. WIN2 and this Proceedings volume are part of the Women in Numbers network, aimed at increasing the visibility of women researchers' contributions to number theory and at increasing the participation of women mathematicians in number theory and related fields. This book is co-published with the Centre de Recherches Mathématiques.

Stochastic Analysis and Diffusion Processes

Stochastic Analysis and Diffusion Processes

  • Author: Gopinath Kallianpur,P Sundar
  • Publisher: Oxford University Press
  • ISBN: 0199657076
  • Category: Mathematics
  • Page: 352
  • View: 9556
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Beginning with the concept of random processes and Brownian motion and building on the theory and research directions in a self-contained manner, this book provides an introduction to stochastic analysis for graduate students, researchers and applied scientists interested in stochastic processes and their applications.

(K)ein Gespür für Zahlen

(K)ein Gespür für Zahlen

So bekommt man den Durchblick in Mathe

  • Author: Barbara Oakley
  • Publisher: MVG Verlag
  • ISBN: 3864157811
  • Category: Mathematics
  • Page: 352
  • View: 2632
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Mathematik versteht man oder eben nicht. Der eine ist dafür natürlich begabt, dem anderen bleibt dieses Fach für immer ein Rätsel. Stimmt nicht, sagt nun Barbara Oakley und zeigt mit ihrem Buch, dass wirklich jeder ein Gespür für Zahlen hat. Mathematik braucht nämlich nicht nur analytisches Denken, sondern auch den kreativen Geist. Denn noch mehr als um Formeln geht es um die Freiheit, einen der vielen möglichen Lösungsansätze zu finden. Der Weg ist das Ziel. Und wie man zum richtigen Ergebnis kommt, ist eine Kunst, die man entwickeln, entdecken und in sich wecken kann. Die Autorin vermittelt eine Vielfalt an Techniken und Werkzeugen, die das Verständnis von Mathematik und Naturwissenschaft grundlegend verbessern. (K)ein Gespür für Zahlen nimmt Ihnen — vor allem wenn Sie sich in Schule, Uni oder Beruf mathematisch oder naturwissenschaftlich beweisen müssen — nicht nur die Grundangst, sondern stärkt Ihren Mut, Ihren mathematischen Fähigkeiten zu vertrauen. So macht Mathe Spaß!

Experimentelle Mathematik

Experimentelle Mathematik

Eine beispielorientierte Einführung

  • Author: Jonathan Borwein,Keith Devlin
  • Publisher: Springer-Verlag
  • ISBN: 3827426626
  • Category: Mathematics
  • Page: 158
  • View: 2659
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Papier und Bleistift wurden lange als die einzigen Hilfsmittel der Mathematiker betrachtet (einige würden hier auch noch den Papierkorb dazuzählen). Wie in vielen anderen Gebieten auch, hat allerdings in den letzten Jahren der Einsatz von Computern in der Mathematik stark zugenommen und somit die Rolle des Experiments in der Mathematik erweitert und legitimiert. Wie können Mathematiker den Computer als Werkzeug benutzen? Und kann er vielleicht nicht nur als Werkzeug, sondern sogar als Mitarbeiter eingesetzt werden? Keith Devlin und Jonathan Borwein, zwei bekannte Mathematiker mit Expertise in unterschiedlichen mathematischen Spezialgebieten, aber mit einem gemeinsamen Interesse am Experimentieren in der Mathematik, haben sich für diese Einführung in die experimentelle Mathematik zusammengetan. Sie behandeln eine Vielfalt an Themen und Beispielen, um dem Leser einen guten Einblick in die aktuelle Entwicklung dieses rasch wachsenden neuen Gebietes zu geben. Die Darstellung ist klar und übersichtlich; die Erläuterungen sind durch historische Fakten und Geschichten von Mathematikern und deren Begegnungen mit dem Gebiet der experimentellen Mathematik angereichert. Stimme zur Originalausgabe: “Das Buch wird für jeden Leser für Interesse sein, der anhand Kostproben kennen lernen möchte, wie man mathematische Problem mit einem Computer löst. Es macht nichts, wenn die Leser nicht viele mathematische Kenntnisse mitbringen: Sie können das Wesentliche des Buchs verstehen und Spaß dabei haben, einige Fragestellungen experimentell zu erforschen.“ Valentina Dagienë, Zentralblatt MATH

Algebra & Number Theory

Algebra & Number Theory

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Algebra
  • Page: N.A
  • View: 9917
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Partial differential equations in general relativity

Partial differential equations in general relativity

  • Author: Alan D. Rendall
  • Publisher: Oxford University Press, USA
  • ISBN: 9780199215409
  • Category: Mathematics
  • Page: 279
  • View: 4652
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A graduate level text on a subject which brings together several areas of mathematics and physics: partial differential equations, differential geometry and general relativity. It explains the basics of the theory of partial differential equations in a form accessible to physicists and the basics of general relativity in a form accessible to mathematicians. In recent years the theory of partial differential equations has come to play an ever more important role in research on general relativity. This is partly due to the growth of the field of numerical relativity, stimulated in turn by work on gravitational wave detection, but also due to an increased interest in general relativity among pure mathematicians working in the areas of partial differential equations and Riemannian geometry, who have realized the exceptional richness of the interactions between geometry and analysis which arise. This book provides the background for those wishing to learn about these topics. It treats key themes in general relativity including matter models and symmetry classes and gives an introduction to relevant aspects of the most important classes of partial differential equations, including ordinary differential equations, and material on functional analysis. These elements are brought together to discuss a variety of important examples in the field of mathematical relativity, including asymptotically flat spacetimes, which are used to describe isolated systems, and spatially compact spacetimes, which are of importance in cosmology.

Algebraic Models in Geometry

Algebraic Models in Geometry

  • Author: Yves Félix,John Oprea,Daniel Tanré
  • Publisher: Oxford University Press on Demand
  • ISBN: 9780199206513
  • Category: Mathematics
  • Page: 460
  • View: 9209
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In the past century, different branches of mathematics have become more widely separated. Yet, there is an essential unity to mathematics which still springs up in fascinating ways to solve interdisciplinary problems. This text provides a bridge between the subjects of algebraic topology, including differential topology, and geometry. It is a survey book dedicated to a large audience of researchers and graduate students in these areas. Containing a generalintroduction to the algebraic theory of rational homotopy and giving concrete applications of algebraic models to the study of geometrical problems, mathematicians in many areas will find subjects that are of interest to them in the book.

Subject Guide to Books in Print

Subject Guide to Books in Print

An Index to the Publishers' Trade List Annual

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: American literature
  • Page: N.A
  • View: 3112
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Reviews in Number Theory, 1984-96

Reviews in Number Theory, 1984-96

As Printed in Mathematical Reviews

  • Author: N.A
  • Publisher: Amer Mathematical Society
  • ISBN: 9780821809372
  • Category: Mathematics
  • Page: 1012
  • View: 7209
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These six volumes include approximately 20,000 reviews of items in number theory that appeared in Mathematical Reviews between 1984 and 1996. This is the third such set of volumes in number theory. The first was edited by W.J. LeVeque and included reviews from 1940-1972; the second was edited by R.K. Guy and appeared in 1984.

Handbook of theoretical computer science

Handbook of theoretical computer science

  • Author: Jan Leeuwen
  • Publisher: N.A
  • ISBN: N.A
  • Category: Computers
  • Page: N.A
  • View: 877
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Zahlen

Zahlen

  • Author: Heinz-Dieter Ebbinghaus,Hans Hermes,Friedrich Hirzebruch,Max Koecher,Klaus Mainzer,Jürgen Neukirch,Alexander Prestel,Reinhold Remmert
  • Publisher: Springer-Verlag
  • ISBN: 3642971229
  • Category: Mathematics
  • Page: 337
  • View: 502
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Aus den Besprechungen: "Ein Mathematikbuch der Superlativen, für Mathematiker (jeder Schattierung) und Nichtmathematiker (denen völlig unbekannte Dimensionen der Mathematik eröffnet werden - künstlerische, magische, historische, philosophische, wissenschaftstheoretische, "unlogische", phantasieerfüllte usw.). Der Aufbau ist meisterhaft, die Lektüre höchst anregend und leicht lesbar." Monatshefte für Mathematik #1 "Ein gelungenes Werk, das dem Vorurteil entgegenwirkt, Mathematik bestehe nur aus isolierten Theorien." Die NEUE HOCHSCHULE #1 "Das Lesen ist ein Genuß, den man sich nicht entgehen lassen sollte." Jahresbericht der Deutschen Mathematiker-Vereinigung #1

The American Mathematical Monthly

The American Mathematical Monthly

The Official Journal of the Mathematical Association of America

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematicians
  • Page: N.A
  • View: 2932
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American Book Publishing Record

American Book Publishing Record

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: American literature
  • Page: N.A
  • View: 3451
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The New Walford

The New Walford

Guide to Reference Resources

  • Author: Albert John Walford
  • Publisher: New Walford's Guide to Referen
  • ISBN: 9781856044950
  • Category: Language Arts & Disciplines
  • Page: 827
  • View: 4411
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First published in 1959, Walford''s guide to reference material achieved international recognition as a leading bibliographic tool across all subject areas. But, in the 1990s, the web transformed the information universe; and so we have now transformed Walford. The New Walford (TNW) Volume 1: Science, Technology and Medicine is the first volume of a radically different guide. Published over 3 years, TNW will form the most substantial work of its kind in the English language. This book provides a pathway through the huge quantity of information now accessible via the web. The types of material cited have been greatly widened to reflect the revolution brought about by the use of networked information; but we have made sure that print resources are not ignored where these are still valuable. If you are approaching a subject for the first time, TNW will get you on your way, guiding you to the best starting points for your query. For the information professional, TNW''s new way of categorizing resources reflects the fundamental changes that have taken place in the scientific, business, political and social information landscapes. Who is it for This new reference book will be valuable for professionals worldwide who need to suggest resources to people who are relatively unfamiliar with the nuances of a topic and who need to know where to start. The focus is on resources that are most likely to be found and used within public, government, education or business information services. If you are an LIS professional responsible for developing and revising a reference collection, new to reference work, staffing an enquiry desk, a research worker or student, you''ll welcome publication of this new work - it''s your paper portal to the world of reference resources. Subject coverage mathematics physics & astronomy earth sciences chemistry biological sciences agriculture, forestry, fisheries & food pre-clinical sciences; clinical medicine health natural resources & energy engineering information & communication technology. Subject fields include astrophysics & cosmology biodiversity & conservation genetics, genomics & bioinformatics infectious diseases information system security meteorology & climatology microengineering & nanotechnology palaeontology soil science sports & exercise medicine. Editor-in-Chief Dr Ray Lester held posts in Unilever and a number of university libraries before becoming Director of Information Services at the London Business School and then the Head of Library and Information Services at The Natural History Museum. Subject specialists Catherine Carr, Cranfield University Jim Corlett, Nottingham Trent University Joanne Dunham, University of Leicester Helen Hathaway, University of Reading Dr Jonathan Jeffery, Leiden University Gareth Johnson, University of York Nazma Masud, Royal Society of Chemistry Roger Mills, University of Oxford Lorna Mitchell, Queen Mary, University of London Dr David Newton, The British Library Linda Norbury, University of Birmingham Bob Parry, University of Reading Alison Sutton, University of Reading Elizabeth Tilley, University of Cambridge Dr Barry White, University of Manchester Fenella Whittaker, The Institution of Mechanical Engineers. 010

Principia Mathematica.

Principia Mathematica.

  • Author: Alfred North Whitehead,Bertrand Russell
  • Publisher: N.A
  • ISBN: N.A
  • Category: Logic, Symbolic and mathematical
  • Page: 167
  • View: 1884
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Particle Physics in the LHC Era

Particle Physics in the LHC Era

  • Author: Giles Barr,Robin Devenish,Roman Walczak,Tony Weidberg
  • Publisher: Oxford University Press
  • ISBN: 0191065455
  • Category: Science
  • Page: 400
  • View: 7296
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This text gives an introduction to particle physics at a level accessible to advanced undergraduate students. It is based on lectures given to 4th year physics students over a number of years, and reflects the feedback from the students. The aim is to explain the theoretical and experimental basis of the Standard Model (SM) of Particle Physics with the simplest mathematical treatment possible. All the experimental discoveries that led to the understanding of the SM relied on particle detectors and most of them required advanced particle accelerators. A unique feature of this book is that it gives a serious introduction to the fundamental accelerator and detector physics, which is currently only available in advanced graduate textbooks. The mathematical tools that are required such as group theory are covered in one chapter. A modern treatment of the Dirac equation is given in which the free particle Dirac equation is seen as being equivalent to the Lorentz transformation. The idea of generating the SM interactions from fundamental gauge symmetries is explained. The core of the book covers the SM. The tools developed are used to explain its theoretical basis and a clear discussion is given of the critical experimental evidence which underpins it. A thorough account is given of quark flavour and neutrino oscillations based on published experimental results, including some from running experiments. A simple introduction to the Higgs sector of the SM is given. This explains the key idea of how spontaneous symmetry breaking can generate particle masses without violating the underlying gauge symmetry. A key feature of this book is that it gives an accessible explanation of the discovery of the Higgs boson, including the advanced statistical techniques required. The final chapter gives an introduction to LHC physics beyond the standard model and the techniques used in searches for new physics. There is an outline of the shortcomings of the SM and a discussion of possible solutions and future experiments to resolve these outstanding questions. For updates, new results, useful links as well as corrections to errata in this book, please see the book website maintained by the authors: https://pplhcera.physics.ox.ac.uk/

Gewöhnliche Differentialgleichungen

Gewöhnliche Differentialgleichungen

Eine Einführung

  • Author: Wolfgang Walter
  • Publisher: Springer-Verlag
  • ISBN: 364296317X
  • Category: Mathematics
  • Page: 232
  • View: 8174
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Books in Series

Books in Series

  • Author: N.A
  • Publisher: N.A
  • ISBN: 9780835221092
  • Category: Monographic series
  • Page: 1756
  • View: 8513
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