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The fields of algebraic functions of one variable appear in several
areas of mathematics: complex analysis, algebraic geometry, and
number theory. This text adopts the latter perspective by applying
an arithmetic-algebraic viewpoint to the study of function fields
as part of the algebraic theory of numbers, where a function field
of one variable is the analogue of a finite extension of Q, the
field of rational numbers. The author does not ignore the
geometric-analytic aspects of function fields, but leaves an
in-depth examination from this perspective to others.
Key topics and features:
* Contains an introductory chapter on algebraic and numerical
antecedents, including transcendental extensions of fields,
absolute values on Q, and Riemann surfaces
* Focuses on the Riemanna "Roch theorem, covering divisors,
adeles or repartitions, Weil differentials, class partitions, and
more
* Includes chapters on extensions, automorphisms and Galois
theory, congruence function fields, the Riemann Hypothesis, the
Riemanna "Hurwitz Formula, applications of function fields to
cryptography, class field theory, cyclotomic function fields, and
Drinfeld modules
* Explains both the similarities and fundamental differences
between function fields and number fields
* Includes many exercises and examples to enhance understanding
and motivate further study
The only prerequisites are a basic knowledge of field theory,
complex analysis, and some commutative algebra. The book can serve
as a text for a graduate course in number theory or an advanced
graduate topics course. Alternatively, chapters 1-4 can serve as
the base of an introductory undergraduate course for
mathematicsmajors, while chapters 5-9 can support a second course
for advanced undergraduates. Researchers interested in number
theory, field theory, and their interactions will also find the
work an excellent reference.
This is a reproduction of a book published before 1923. This book
may have occasional imperfections such as missing or blurred pages,
poor pictures, errant marks, etc. that were either part of the
original artifact, or were introduced by the scanning process. We
believe this work is culturally important, and despite the
imperfections, have elected to bring it back into print as part of
our continuing commitment to the preservation of printed works
worldwide. We appreciate your understanding of the imperfections in
the preservation process, and hope you enjoy this valuable book.
++++ The below data was compiled from various identification fields
in the bibliographic record of this title. This data is provided as
an additional tool in helping to ensure edition identification:
++++ Ragionamenti Di Cleandro, E Di Eudosso Sovra Le Lettere Al
Provinciale: Recati Novellamente Nell'Italiana Favella
Dall'Original Francese Gabriel Daniel, Eudoxus (Cnidius), Cleander
Botagriffi, 1760
This is a reproduction of a book published before 1923. This book
may have occasional imperfections such as missing or blurred pages,
poor pictures, errant marks, etc. that were either part of the
original artifact, or were introduced by the scanning process. We
believe this work is culturally important, and despite the
imperfections, have elected to bring it back into print as part of
our continuing commitment to the preservation of printed works
worldwide. We appreciate your understanding of the imperfections in
the preservation process, and hope you enjoy this valuable book.
++++ The below data was compiled from various identification fields
in the bibliographic record of this title. This data is provided as
an additional tool in helping to ensure edition identification:
++++ Geschichte Von Frankreich, Volume 13 Gabriel Daniel
This is a reproduction of a book published before 1923. This book
may have occasional imperfections such as missing or blurred pages,
poor pictures, errant marks, etc. that were either part of the
original artifact, or were introduced by the scanning process. We
believe this work is culturally important, and despite the
imperfections, have elected to bring it back into print as part of
our continuing commitment to the preservation of printed works
worldwide. We appreciate your understanding of the imperfections in
the preservation process, and hope you enjoy this valuable book.
Jusqu'a La Fin Du Regne De Louis Le Grand. Due to the very old age
and scarcity of this book, many of the pages may be hard to read
due to the blurring of the original text.
The 18th century was a wealth of knowledge, exploration and rapidly
growing technology and expanding record-keeping made possible by
advances in the printing press. In its determination to preserve
the century of revolution, Gale initiated a revolution of its own:
digitization of epic proportions to preserve these invaluable works
in the largest archive of its kind. Now for the first time these
high-quality digital copies of original 18th century manuscripts
are available in print, making them highly accessible to libraries,
undergraduate students, and independent scholars.Western literary
study flows out of eighteenth-century works by Alexander Pope,
Daniel Defoe, Henry Fielding, Frances Burney, Denis Diderot, Johann
Gottfried Herder, Johann Wolfgang von Goethe, and others.
Experience the birth of the modern novel, or compare the
development of language using dictionaries and grammar discourses.
++++The below data was compiled from various identification fields
in the bibliographic record of this title. This data is provided as
an additional tool in helping to insure edition identification:
++++British LibraryT122034A translation by William Darrell of
'Rponse aux Lettres provinciales de L. de Montalte, ou entretiens
de Cleandre et d'Eudoxe' by Gabriel Daniel. (L. de Montalte is a
pseudonym of Pascal). The imprint is false; printed at the English
College press, Sa Cullen i.e. Saint-Omer]: Printed at Cullen i.e.
St. Omer, by the English College Press], 1701. 4],431, 1]p.; 8
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