Quaternion algebras / (Record no. 12589)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02736nam a2200217 a 4500 |
| 001 - CONTROL NUMBER | |
| control field | 42500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | 0000000000 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240411193050.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 210716n s 000 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 978-3-030-56692-0 |
| 022 ## - INTERNATIONAL STANDARD SERIAL NUMBER | |
| International Standard Serial Number | 0072-5285 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Voight, John. |
| 245 10 - TITLE STATEMENT | |
| Title | Quaternion algebras / |
| Medium | [electronic resource] |
| Statement of responsibility, etc. | John Voight. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Cham : |
| Name of publisher, distributor, etc. | Springer, |
| Date of publication, distribution, etc. | 2021. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This open access textbook presents a comprehensive treatment of the arithmetic theory of quaternion algebras and orders, a subject with applications in diverse areas of mathematics. Written to be accessible and approachable to the graduate student reader, this text collects and synthesizes results from across the literature. Numerous pathways offer explorations in many different directions, while the unified treatment makes this book an essential reference for students and researchers alike. Divided into five parts, the book begins with a basic introduction to the noncommutative algebra underlying the theory of quaternion algebras over fields, including the relationship to quadratic forms. An in-depth exploration of the arithmetic of quaternion algebras and orders follows. The third part considers analytic aspects, starting with zeta functions and then passing to an idelic approach, offering a pathway from local to global that includes strong approximation. Applications of unit groups of quaternion orders to hyperbolic geometry and low-dimensional topology follow, relating geometric and topological properties to arithmetic invariants. Arithmetic geometry completes the volume, including quaternionic aspects of modular forms, supersingular elliptic curves, and the moduli of QM abelian surfaces. Quaternion Algebras encompasses a vast wealth of knowledge at the intersection of many fields. Graduate students interested in algebra, geometry, and number theory will appreciate the many avenues and connections to be explored. Instructors will find numerous options for constructing introductory and advanced courses, while researchers will value the all-embracing treatment. Readers are assumed to have some familiarity with algebraic number theory and commutative algebra, as well as the fundamentals of linear algebra, topology, and complex analysis. More advanced topics call upon additional background, as noted, though essential concepts and motivation are recapped throughout. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Quaternions. |
| Source of heading or term | sears |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://drive.google.com/file/d/168Yywbi15kbyx0z4Vo4oY2YBVld18SkT/view?usp=sharing">https://drive.google.com/file/d/168Yywbi15kbyx0z4Vo4oY2YBVld18SkT/view?usp=sharing</a> |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Inventory number | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Main Library | Main Library | E-Resources | 06/25/2021 | 1 | 512.5 V889 | E004252 | 03/07/2024 | 03/07/2024 | E-Resources |