Quadratic Number Theory
J. L. Lehman
Peb 2019 · Dolciani Mathematical Expositions Aklat 52 · American Mathematical Soc.
E-book
394
Mga Page
reportHindi na-verify ang mga rating at review Matuto Pa
Tungkol sa ebook na ito
Quadratic Number Theory is an introduction to algebraic number theory for readers with a moderate knowledge of elementary number theory and some familiarity with the terminology of abstract algebra. By restricting attention to questions about squares the author achieves the dual goals of making the presentation accessible to undergraduates and reflecting the historical roots of the subject. The representation of integers by quadratic forms is emphasized throughout the text.
Lehman introduces an innovative notation for ideals of a quadratic domain that greatly facilitates computation and he uses this to particular effect. The text has an unusual focus on actual computation. This focus, and this notation, serve the author's historical purpose as well; ideals can be seen as number-like objects, as Kummer and Dedekind conceived of them. The notation can be adapted to quadratic forms and provides insight into the connection between quadratic forms and ideals. The computation of class groups and continued fraction representations are featured—the author's notation makes these computations particularly illuminating.
Quadratic Number Theory, with its exceptionally clear prose, hundreds of exercises, and historical motivation, would make an excellent textbook for a second undergraduate course in number theory. The clarity of the exposition would also make it a terrific choice for independent reading. It will be exceptionally useful as a fruitful launching pad for undergraduate research projects in algebraic number theory.
Lehman introduces an innovative notation for ideals of a quadratic domain that greatly facilitates computation and he uses this to particular effect. The text has an unusual focus on actual computation. This focus, and this notation, serve the author's historical purpose as well; ideals can be seen as number-like objects, as Kummer and Dedekind conceived of them. The notation can be adapted to quadratic forms and provides insight into the connection between quadratic forms and ideals. The computation of class groups and continued fraction representations are featured—the author's notation makes these computations particularly illuminating.
Quadratic Number Theory, with its exceptionally clear prose, hundreds of exercises, and historical motivation, would make an excellent textbook for a second undergraduate course in number theory. The clarity of the exposition would also make it a terrific choice for independent reading. It will be exceptionally useful as a fruitful launching pad for undergraduate research projects in algebraic number theory.
Tungkol sa may-akda
J. L. Lehman: University of Mary Washington, Fredericksburg, VA
MAA Press: An Imprint of the American Mathematical Society
I-rate ang e-book na ito
Ipalaam sa amin ang iyong opinyon.
Impormasyon sa pagbabasa
Mga smartphone at tablet
I-install ang Google Play Books app para sa Android at iPad/iPhone. Awtomatiko itong nagsi-sync sa account mo at nagbibigay-daan sa iyong magbasa online o offline nasaan ka man.
Mga laptop at computer
Maaari kang makinig sa mga audiobook na binili sa Google Play gamit ang web browser ng iyong computer.
Mga eReader at iba pang mga device
Para magbasa tungkol sa mga e-ink device gaya ng mga Kobo eReader, kakailanganin mong mag-download ng file at ilipat ito sa iyong device. Sundin ang mga detalyadong tagubilin sa Help Center para mailipat ang mga file sa mga sinusuportahang eReader.
