LMSST: 24 Lectures on Elliptic Curves

LMSST: 24 Lectures on Elliptic Curves PDF

Author: John William Scott Cassels

Publisher: Cambridge University Press

Published: 1991-11-21

Total Pages: 148

ISBN-13: 9780521425308

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A self-contained introductory text for beginning graduate students that is contemporary in approach without ignoring historical matters.

Permutation Groups

Permutation Groups PDF

Author: Peter J. Cameron

Publisher: Cambridge University Press

Published: 1999-02-04

Total Pages: 236

ISBN-13: 9780521653787

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This book summarizes recent developments in the study of permutation groups for beginning graduate students.

Steps in Commutative Algebra

Steps in Commutative Algebra PDF

Author: R. Y. Sharp

Publisher: Cambridge University Press

Published: 2000

Total Pages: 371

ISBN-13: 0521646235

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Introductory account of commutative algebra, aimed at students with a background in basic algebra.

Complex Algebraic Surfaces

Complex Algebraic Surfaces PDF

Author: Arnaud Beauville

Publisher: Cambridge University Press

Published: 1996-06-28

Total Pages: 148

ISBN-13: 9780521498425

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Developed over more than a century, and still an active area of research today, the classification of algebraic surfaces is an intricate and fascinating branch of mathematics. In this book Professor BeauviIle gives a lucid and concise account of the subject, following the strategy of F. Enriques, but expressed simply in the language of modern topology and sheaf theory, so as to be accessible to any budding geometer. This volume is self contained and the exercises succeed both in giving the flavour of the extraordinary wealth of examples in the classical subject, and in equipping the reader with most of the techniques needed for research.

Introductory Lectures on Rings and Modules

Introductory Lectures on Rings and Modules PDF

Author: John A. Beachy

Publisher: Cambridge University Press

Published: 1999-04-22

Total Pages: 252

ISBN-13: 9780521644075

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A first-year graduate text or reference for advanced undergraduates on noncommutative aspects of rings and modules.

Introduction to String Theory

Introduction to String Theory PDF

Author: Sergio Cecotti

Publisher: Springer Nature

Published: 2023-11-07

Total Pages: 846

ISBN-13: 3031365305

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Graduate students typically enter into courses on string theory having little to no familiarity with the mathematical background so crucial to the discipline. As such, this book, based on lecture notes, edited and expanded, from the graduate course taught by the author at SISSA and BIMSA, places particular emphasis on said mathematical background. The target audience for the book includes students of both theoretical physics and mathematics. This explains the book’s "strange" style: on the one hand, it is highly didactic and explicit, with a host of examples for the physicists, but, in addition, there are also almost 100 separate technical boxes, appendices, and starred sections, in which matters discussed in the main text are put into a broader mathematical perspective, while deeper and more rigorous points of view (particularly those from the modern era) are presented. The boxes also serve to further shore up the reader’s understanding of the underlying math. In writing this book, the author’s goal was not to achieve any sort of definitive conciseness, opting instead for clarity and "completeness". To this end, several arguments are presented more than once from different viewpoints and in varying contexts.

Hilbert Modular Forms and Iwasawa Theory

Hilbert Modular Forms and Iwasawa Theory PDF

Author: Haruzo Hida

Publisher: Oxford University Press

Published: 2006-06-15

Total Pages: 417

ISBN-13: 019857102X

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Describing the applications found for the Wiles and Taylor technique, this book generalizes the deformation theoretic techniques of Wiles-Taylor to Hilbert modular forms (following Fujiwara's treatment), and also discusses applications found by the author.