Lectures on Lie Groups and Lie Algebras

Author: Roger William Carter

Publisher: N.A

ISBN: 9780521499224

Category: Mathematics

Page: 190

View: 7029

An excellent introduction to the theory of Lie groups and Lie algebras.
Posted in Mathematics

An Introduction to Lie Groups and Lie Algebras

Author: Alexander Kirillov

Publisher: Cambridge University Press

ISBN: 0521889693

Category: Mathematics

Page: 222

View: 3897

This book is an introduction to semisimple Lie algebras; concise and informal, with numerous exercises and examples.
Posted in Mathematics

Mathematische Physik: Klassische Mechanik

Author: Andreas Knauf

Publisher: Springer-Verlag

ISBN: 3662557762

Category: Science

Page: 652

View: 1182

Als Grenztheorie der Quantenmechanik besitzt die klassische Dynamik einen großen Formenreichtum – vom gut berechenbaren bis zum chaotischen Verhalten. Ausgehend von interessanten Beispielen wird in dem Band nicht nur eine gelungene Auswahl grundlegender Themen vermittelt, sondern auch der Einstieg in viele aktuelle Forschungsgebiete im Bereich der klassischen Mechanik. Didaktisch geschickt aufgebaut und mit hilfreichen Anhängen versehen, werden lediglich Kenntnisse der Grundvorlesungen in Mathematik vorausgesetzt. Mit über 100 Aufgaben und Lösungen.
Posted in Science

Representations of Lie Algebras

An Introduction Through gln

Author: Anthony Henderson

Publisher: Cambridge University Press

ISBN: 1139561367

Category: Mathematics

Page: N.A

View: 7656

This bold and refreshing approach to Lie algebras assumes only modest prerequisites (linear algebra up to the Jordan canonical form and a basic familiarity with groups and rings), yet it reaches a major result in representation theory: the highest-weight classification of irreducible modules of the general linear Lie algebra. The author's exposition is focused on this goal rather than aiming at the widest generality and emphasis is placed on explicit calculations with bases and matrices. The book begins with a motivating chapter explaining the context and relevance of Lie algebras and their representations and concludes with a guide to further reading. Numerous examples and exercises with full solutions are included. Based on the author's own introductory course on Lie algebras, this book has been thoroughly road-tested by advanced undergraduate and beginning graduate students and it is also suited to individual readers wanting an introduction to this important area of mathematics.
Posted in Mathematics

Internationale mathematische Nachrichten

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 6658

Issues for Dec. 1952- include section: Nachrichten der Österreichischen Mathematischen Gesellschaft.
Posted in Mathematics

Dynamical Systems and Ergodic Theory

Author: Mark Pollicott,Michiko Yuri

Publisher: Cambridge University Press

ISBN: 9780521575997

Category: Mathematics

Page: 179

View: 6949

This book is essentially a self-contained introduction to topological dynamics and ergodic theory. It is divided into a number of relatively short chapters with the intention that each may be used as a component of a lecture course tailored to the particular audience. Parts of the book are suitable for a final year undergraduate course or for a master's level course. A number of applications are given, principally to number theory and arithmetic progressions (through van der Waerden's theorem and Szemerdi's theorem).
Posted in Mathematics

LMSST: 24 Lectures on Elliptic Curves

Author: John William Scott Cassels

Publisher: Cambridge University Press

ISBN: 9780521425308

Category: Mathematics

Page: 137

View: 8396

The study of special cases of elliptic curves goes back to Diophantos and Fermat, and today it is still one of the liveliest centers of research in number theory. This book, addressed to beginning graduate students, introduces basic theory from a contemporary viewpoint but with an eye to the historical background. The central portion deals with curves over the rationals: the Mordell-Wei finite basis theorem, points of finite order (Nagell-Lutz), etc. The treatment is structured by the local-global standpoint and culminates in the description of the Tate-Shafarevich group as the obstruction to a Hasse principle. In an introductory section the Hasse principle for conics is discussed. The book closes with sections on the theory over finite fields (the "Riemann hypothesis for function fields") and recently developed uses of elliptic curves for factoring large integers. Prerequisites are kept to a minimum; an acquaintance with the fundamentals of Galois theory is assumed, but no knowledge either of algebraic number theory or algebraic geometry is needed. The p-adic numbers are introduced from scratch. Many examples and exercises are included for the reader, and those new to elliptic curves, whether they are graduate students or specialists from other fields, will find this a valuable introduction.
Posted in Mathematics

Lectures on Profinite Topics in Group Theory

Author: Benjamin Klopsch,Nikolay Nikolov,Christopher Voll

Publisher: Cambridge University Press

ISBN: 1139495658

Category: Mathematics

Page: N.A

View: 2489

In this book, three authors introduce readers to strong approximation methods, analytic pro-p groups and zeta functions of groups. Each chapter illustrates connections between infinite group theory, number theory and Lie theory. The first introduces the theory of compact p-adic Lie groups. The second explains how methods from linear algebraic groups can be utilised to study the finite images of linear groups. The final chapter provides an overview of zeta functions associated to groups and rings. Derived from an LMS/EPSRC Short Course for graduate students, this book provides a concise introduction to a very active research area and assumes less prior knowledge than existing monographs or original research articles. Accessible to beginning graduate students in group theory, it will also appeal to researchers interested in infinite group theory and its interface with Lie theory and number theory.
Posted in Mathematics

Classical Invariant Theory

Author: Peter J. Olver

Publisher: Cambridge University Press

ISBN: 9780521558211

Category: Mathematics

Page: 280

View: 9077

The book is a self-contained introduction to the results and methods in classical invariant theory.
Posted in Mathematics

The British National Bibliography

Author: Arthur James Wells

Publisher: N.A

ISBN: N.A

Category: English literature

Page: N.A

View: 9361

Posted in English literature

Lectures on Buildings

Updated and Revised

Author: Mark Ronan

Publisher: University of Chicago Press

ISBN: 0226724999

Category: Mathematics

Page: 228

View: 892

In mathematics, “buildings” are geometric structures that represent groups of Lie type over an arbitrary field. This concept is critical to physicists and mathematicians working in discrete mathematics, simple groups, and algebraic group theory, to name just a few areas. Almost twenty years after its original publication, Mark Ronan’s Lectures on Buildings remains one of the best introductory texts on the subject. A thorough, concise introduction to mathematical buildings, it contains problem sets and an excellent bibliography that will prove invaluable to students new to the field. Lectures on Buildings will find a grateful audience among those doing research or teaching courses on Lie-type groups, on finite groups, or on discrete groups. “Ronan’s account of the classification of affine buildings [is] both interesting and stimulating, and his book is highly recommended to those who already have some knowledge and enthusiasm for the theory of buildings.”—Bulletin of the London Mathematical Society
Posted in Mathematics

Lectures on Kähler Geometry

Author: Andrei Moroianu

Publisher: Cambridge University Press

ISBN: 1139463004

Category: Mathematics

Page: N.A

View: 7141

Kähler geometry is a beautiful and intriguing area of mathematics, of substantial research interest to both mathematicians and physicists. This self-contained graduate text provides a concise and accessible introduction to the topic. The book begins with a review of basic differential geometry, before moving on to a description of complex manifolds and holomorphic vector bundles. Kähler manifolds are discussed from the point of view of Riemannian geometry, and Hodge and Dolbeault theories are outlined, together with a simple proof of the famous Kähler identities. The final part of the text studies several aspects of compact Kähler manifolds: the Calabi conjecture, Weitzenböck techniques, Calabi–Yau manifolds, and divisors. All sections of the book end with a series of exercises and students and researchers working in the fields of algebraic and differential geometry and theoretical physics will find that the book provides them with a sound understanding of this theory.
Posted in Mathematics

The Design of Everyday Things

Psychologie und Design der alltäglichen Dinge

Author: Norman Don

Publisher: Vahlen

ISBN: 3800648105

Category: Business & Economics

Page: 320

View: 3342

Apple, Audi, Braun oder Samsung machen es vor: Gutes Design ist heute eine kritische Voraussetzung für erfolgreiche Produkte. Dieser Klassiker beschreibt die fundamentalen Prinzipien, um Dinge des täglichen Gebrauchs umzuwandeln in unterhaltsame und zufriedenstellende Produkte. Don Norman fordert ein Zusammenspiel von Mensch und Technologie mit dem Ziel, dass Designer und Produktentwickler die Bedürfnisse, Fähigkeiten und Handlungsweisen der Nutzer in den Vordergrund stellen und Designs an diesen angepasst werden. The Design of Everyday Things ist eine informative und spannende Einführung für Designer, Marketer, Produktentwickler und für alle an gutem Design interessierten Menschen. Zum Autor Don Norman ist emeritierter Professor für Kognitionswissenschaften. Er lehrte an der University of California in San Diego und der Northwest University in Illinois. Mitte der Neunzigerjahre leitete Don Norman die Advanced Technology Group bei Apple. Dort prägte er den Begriff der User Experience, um über die reine Benutzbarkeit hinaus eine ganzheitliche Erfahrung der Anwender im Umgang mit Technik in den Vordergrund zu stellen. Norman ist Mitbegründer der Beratungsfirma Nielsen Norman Group und hat unter anderem Autohersteller von BMW bis Toyota beraten. „Keiner kommt an Don Norman vorbei, wenn es um Fragen zu einem Design geht, das sich am Menschen orientiert.“ Brand Eins 7/2013 „Design ist einer der wichtigsten Wettbewerbsvorteile. Dieses Buch macht Spaß zu lesen und ist von größter Bedeutung.” Tom Peters, Co-Autor von „Auf der Suche nach Spitzenleistungen“
Posted in Business & Economics

Hyperbolic Geometry

Author: Birger Iversen

Publisher: Cambridge University Press

ISBN: 0521435080

Category: Mathematics

Page: 298

View: 9550

Although it arose from purely theoretical considerations of the underlying axioms of geometry, the work of Einstein and Dirac has demonstrated that hyperbolic geometry is a fundamental aspect of modern physics. In this book, the rich geometry of the hyperbolic plane is studied in detail, leading to the focal point of the book, Poincare's polygon theorem and the relationship between hyperbolic geometries and discrete groups of isometries. Hyperbolic 3-space is also discussed, and the directions that current research in this field is taking are sketched. This will be an excellent introduction to hyperbolic geometry for students new to the subject, and for experts in other fields.
Posted in Mathematics

Tod und Leben großer amerikanischer Städte

Author: Jane Jacobs

Publisher: Birkhäuser

ISBN: 3035602123

Category: Architecture

Page: 220

View: 5145

In The Death and Life of Great American Cities durchleuchtet Jane Jacobs 1961 die fragwürdigen Methoden der Stadtplanung und Stadtsanierung in Amerika, der "New Yorker" nannte es das unkonventionellste und provozierendste Buch über Städtebau seit langem. Die deutsche Ausgabe wurde schnell auch im deutschsprachigem Raum zu einer viel gelesenen und diskutierten Lektüre. Sie ist jetzt wieder in einem Nachdruck zugänglich, mit einem Vorwort von Gerd Albers (1993), das nach der Aktualität dieser Streitschrift fragt.
Posted in Architecture

ABPR

Author: N.A

Publisher: N.A

ISBN: N.A

Category: American literature

Page: N.A

View: 9301

Posted in American literature

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: 9929

Posted in American literature

An Introduction to Noncommutative Noetherian Rings

Author: K. R. Goodearl,R. B. Warfield, Jr

Publisher: Cambridge University Press

ISBN: 9780521369251

Category: Mathematics

Page: 303

View: 3868

Introduces and applies the standard techniques in the area (ring of fractions, bimodules, Krull dimension, linked prime ideals).
Posted in Mathematics