Algebraic Theory of Numbers. (AM-1), Volume 1 / / Hermann Weyl.
In this, one of the first books to appear in English on the theory of numbers, the eminent mathematician Hermann Weyl explores fundamental concepts in arithmetic. The book begins with the definitions and properties of algebraic fields, which are relied upon throughout. The theory of divisibility is...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©1954 |
| Year of Publication: | 2016 |
| Language: | English |
| Series: | Princeton Landmarks in Mathematics and Physics ;
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| Physical Description: | 1 online resource (240 p.) :; 30 halftones |
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Weyl, Hermann, author. aut http://id.loc.gov/vocabulary/relators/aut Algebraic Theory of Numbers. (AM-1), Volume 1 / Hermann Weyl. Princeton, NJ : Princeton University Press, [2016] ©1954 1 online resource (240 p.) : 30 halftones text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Princeton Landmarks in Mathematics and Physics ; 1 Frontmatter -- CONTENTS -- PREFACE -- A SHORT BIBLIOGRAPHY (BOOKS ONLY) -- Chapter I. ALGEBRAIC FIELDS -- Chapter II. THEORY OF DIVISIBILITY (KRONECKER, DEDEKIND) -- Chapter III. LOCAL PRIMADIC ANALYSIS (KUMMER-HENSEL) -- Chapter IV. ALGEBRAIC NUMBER FIELDS -- ERRATA -- AMENDMENTS restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star In this, one of the first books to appear in English on the theory of numbers, the eminent mathematician Hermann Weyl explores fundamental concepts in arithmetic. The book begins with the definitions and properties of algebraic fields, which are relied upon throughout. The theory of divisibility is then discussed, from an axiomatic viewpoint, rather than by the use of ideals. There follows an introduction to p-adic numbers and their uses, which are so important in modern number theory, and the book culminates with an extensive examination of algebraic number fields. Weyl's own modest hope, that the work "will be of some use," has more than been fulfilled, for the book's clarity, succinctness, and importance rank it as a masterpiece of mathematical exposition. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) Algebraic number theory. MATHEMATICS / Number Theory. bisacsh Abelian group. Absolute value. Abstract algebra. Addition. Additive group. Adjunction (field theory). Algebra. Algebraic equation. Algebraic function. Algebraic manifold. Algebraic number field. Algebraic number. Algebraic operation. Algebraic surface. Algebraic theory. An Introduction to the Theory of Numbers. Analytic function. Automorphism. Axiomatic system. Bernhard Riemann. Big O notation. Calculation. Class number. Coefficient. Commutative property. Commutative ring. Complex number. Cyclic group. Cyclotomic field. Dimension. Direct product. Dirichlet series. Discriminant. Divisibility rule. Division algebra. Divisor. Entire function. Equation. Euler function. Existential quantification. Finite field. Fractional ideal. Functional equation. Fundamental theorem of algebra. Galois group. Galois theory. Geometry. Ground field. Hermann Weyl. Ideal number. Identity matrix. Infinite product. Integer. Irreducibility (mathematics). Irreducible polynomial. Lattice (group). Legendre symbol. Linear map. Logarithm. Mathematics. Meromorphic function. Modular arithmetic. Multiplicative group. Natural number. Nth root. Number theory. P-adic number. Polynomial. Prime factor. Prime ideal. Prime number theorem. Prime number. Prime power. Principal ideal. Quadratic equation. Quadratic field. Quadratic form. Quadratic reciprocity. Quadratic residue. Real number. Reciprocity law. Riemann surface. Ring (mathematics). Ring of integers. Root of unity. S-plane. Scientific notation. Sign (mathematics). Special case. Square number. Subgroup. Summation. Symmetric function. Theorem. Theoretical physics. Theory of equations. Theory. Variable (mathematics). Vector space. Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 9783110494914 ZDB-23-PMB Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package 9783110501063 ZDB-23-PMS Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 print 9780691059174 https://doi.org/10.1515/9781400882809 https://www.degruyter.com/isbn/9781400882809 Cover https://www.degruyter.com/document/cover/isbn/9781400882809/original |
| language |
English |
| format |
eBook |
| author |
Weyl, Hermann, Weyl, Hermann, |
| spellingShingle |
Weyl, Hermann, Weyl, Hermann, Algebraic Theory of Numbers. (AM-1), Volume 1 / Princeton Landmarks in Mathematics and Physics ; Frontmatter -- CONTENTS -- PREFACE -- A SHORT BIBLIOGRAPHY (BOOKS ONLY) -- Chapter I. ALGEBRAIC FIELDS -- Chapter II. THEORY OF DIVISIBILITY (KRONECKER, DEDEKIND) -- Chapter III. LOCAL PRIMADIC ANALYSIS (KUMMER-HENSEL) -- Chapter IV. ALGEBRAIC NUMBER FIELDS -- ERRATA -- AMENDMENTS |
| author_facet |
Weyl, Hermann, Weyl, Hermann, |
| author_variant |
h w hw h w hw |
| author_role |
VerfasserIn VerfasserIn |
| author_sort |
Weyl, Hermann, |
| title |
Algebraic Theory of Numbers. (AM-1), Volume 1 / |
| title_full |
Algebraic Theory of Numbers. (AM-1), Volume 1 / Hermann Weyl. |
| title_fullStr |
Algebraic Theory of Numbers. (AM-1), Volume 1 / Hermann Weyl. |
| title_full_unstemmed |
Algebraic Theory of Numbers. (AM-1), Volume 1 / Hermann Weyl. |
| title_auth |
Algebraic Theory of Numbers. (AM-1), Volume 1 / |
| title_alt |
Frontmatter -- CONTENTS -- PREFACE -- A SHORT BIBLIOGRAPHY (BOOKS ONLY) -- Chapter I. ALGEBRAIC FIELDS -- Chapter II. THEORY OF DIVISIBILITY (KRONECKER, DEDEKIND) -- Chapter III. LOCAL PRIMADIC ANALYSIS (KUMMER-HENSEL) -- Chapter IV. ALGEBRAIC NUMBER FIELDS -- ERRATA -- AMENDMENTS |
| title_new |
Algebraic Theory of Numbers. (AM-1), Volume 1 / |
| title_sort |
algebraic theory of numbers. (am-1), volume 1 / |
| series |
Princeton Landmarks in Mathematics and Physics ; |
| series2 |
Princeton Landmarks in Mathematics and Physics ; |
| publisher |
Princeton University Press, |
| publishDate |
2016 |
| physical |
1 online resource (240 p.) : 30 halftones Issued also in print. |
| contents |
Frontmatter -- CONTENTS -- PREFACE -- A SHORT BIBLIOGRAPHY (BOOKS ONLY) -- Chapter I. ALGEBRAIC FIELDS -- Chapter II. THEORY OF DIVISIBILITY (KRONECKER, DEDEKIND) -- Chapter III. LOCAL PRIMADIC ANALYSIS (KUMMER-HENSEL) -- Chapter IV. ALGEBRAIC NUMBER FIELDS -- ERRATA -- AMENDMENTS |
| isbn |
9781400882809 9783110494914 9783110501063 9783110442496 9780691059174 |
| callnumber-first |
Q - Science |
| callnumber-subject |
QA - Mathematics |
| callnumber-label |
QA247 |
| callnumber-sort |
QA 3247 |
| url |
https://doi.org/10.1515/9781400882809 https://www.degruyter.com/isbn/9781400882809 https://www.degruyter.com/document/cover/isbn/9781400882809/original |
| illustrated |
Not Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
510 - Mathematics |
| dewey-ones |
512 - Algebra |
| dewey-full |
512/.74 |
| dewey-sort |
3512 274 |
| dewey-raw |
512/.74 |
| dewey-search |
512/.74 |
| doi_str_mv |
10.1515/9781400882809 |
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952042590 |
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AT weylhermann algebraictheoryofnumbersam1volume1 |
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n |
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(DE-B1597)469155 (OCoLC)952042590 |
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cr |
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Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
| is_hierarchy_title |
Algebraic Theory of Numbers. (AM-1), Volume 1 / |
| container_title |
Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
| _version_ |
1806143645526523904 |
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