Sidney A. Morris - Böcker
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6 produkter
6 produkter
Del 29 - London Mathematical Society Lecture Note Series
Pontryagin Duality and the Structure of Locally Compact Abelian Groups
Häftad, Engelska, 1977
665 kr
Skickas inom 7-10 vardagar
These lecture notes begin with an introduction to topological groups and proceed to a proof of the important Pontryagin-van Kampen duality theorem and a detailed exposition of the structure of locally compact abelian groups. Measure theory and Banach algebra are entirely avoided and only a small amount of group theory and topology is required, dealing with the subject in an elementary fashion. With about a hundred exercises for the student, it is a suitable text for first-year graduate courses.
Abstract Algebra and Famous Impossibilities
Squaring the Circle, Doubling the Cube, Trisecting an Angle, and Solving Quintic Equations
Inbunden, Engelska, 2022
641 kr
Skickas inom 10-15 vardagar
This textbook develops the abstract algebra necessary to prove the impossibility of four famous mathematical feats: squaring the circle, trisecting the angle, doubling the cube, and solving quintic equations.
634 kr
Skickas inom 5-8 vardagar
Abstract Algebra and Famous Impossibilities
Squaring the Circle, Doubling the Cube, Trisecting an Angle, and Solving Quintic Equations
Häftad, Engelska, 2023
641 kr
Skickas inom 10-15 vardagar
This textbook develops the abstract algebra necessary to prove the impossibility of four famous mathematical feats: squaring the circle, trisecting the angle, doubling the cube, and solving quintic equations.
694 kr
Skickas inom 10-15 vardagar
This book offers a gentle yet rigorous introduction to probability theory, with a special focus on finite probability spaces. Drawing inspiration from card games, casino games, mahjong, and two-up, it also delves into real-world applications such as weather forecasting, lotteries, hereditary diseases, and PCR virus testing. Discover which casino game gives you the best chance of winning and which one offers the worst odds. Assuming only a high school mathematics background, this book is an excellent resource for both students and teachers, providing clear explanations and engaging examples. The technical material is lightened with entertaining stories, such as how someone became a millionaire by spotting a flaw in a national lottery and how another person helped fund a war using winnings from a well-known card game he invented. Engaging and informative, this book is perfect for anyone looking to deepen their understanding of probability theory while enjoying some fascinating anecdotes along the way.
Structure of Compact Groups
A Primer for the Student – A Handbook for the Expert
Inbunden, Engelska, 2023
2 834 kr
Skickas inom 5-8 vardagar
The subject matter of compact groups is frequently cited in fi elds like algebra, topology, functional analysis, and theoretical physics. This book serves the dual purpose of providing a text for upper level graduate students, and of being a source book for researchers who need the structure and representation theory of compact groups. After a gentle introduction to compact groups and their representation theory, the book presents self-contained courses on linear Lie groups and on locally compact abelian groups.Appended chapters contain the material for self-contained courses on abelian groups and on category theory.Using the Lie algebras and the exponential function of arbitrary compact groups, the book avoids unnecessary restrictions to finite dimensional or abelian compact groups. Earlier editions of 1998, 2006, 2013, and 2020 have been quoted for instruction and research. The present edition conceptually sharpens, polishes, and improves the earlier material. For instance, it includes a treatment of the Bohr compactifi cation of topological groups which fi ts perfectly into the general treatment of adjoint functors that the book treats in an appendix of its own, and which, in the abelian environment, connects neatly with the Pontryagin--van Kampen duality of compact abelian groups having been discussed in the book in great detail. The link between arbitrary compact groups and their weakly complete group algebras is as extensively discussed as is now the theory of weakly complete universal enveloping algebras of the Lie algebras of compact groups. All of this is based on the category of weakly complete real and complex vector spaces and its precise duality to the category of ordinary real, respectively, complex vector spaces, is treated in an appendix systematically.