Number Theory And Its Applications - Fuhuo Li, Nianliang Wang, Shigeru Kanemitsu

Number Theory And Its Applications

Buch | Hardcover
208 Seiten
2013
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-4425-63-6 (ISBN)
53,60 inkl. MwSt
Emphasizes the role of symmetry and presents as many viewpoints as possible of an important phenomenon - the functional equation of the associated zeta-function. This book starts from the basics before warping into the space of new interest; from the ground state to the excited state.
This book emphasizes the role of symmetry and presents as many viewpoints as possible of an important phenomenon — the functional equation of the associated zeta-function. It starts from the basics before warping into the space of new interest; from the ground state to the excited state. For example, the celebrated Gauss quadratic reciprocity law is proved in four independent ways, which are in some way or other dependent on the functional equation. The proofs rest on finite fields, representation theory of nilpotent groups, reciprocity law for the Dedekind sums, and the translation formula for the theta-series, respectively. Likewise, for example, the Euler function is treated in several different places.One of the important principles of learning is to work with the material many times. This book presents many worked-out examples and exercises to enhance the reader's comprehension on the topics covered in an in-depth manner. This is done in a different setting each time such that the reader will always be challenged. For the keen reader, even browsing the text alone, without solving the exercises, will yield some knowledge and enjoyment.

Elements of Algebra; Rudiments of Algebraic Number Theory; Arithmetical Functions and Stieltjes Integrals; Quadratic Reciprocity Through Duality; Around Dirichlet L-Functions; Control Systems and Number Theory.

Verlagsort Singapore
Sprache englisch
Themenwelt Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
ISBN-10 981-4425-63-X / 981442563X
ISBN-13 978-981-4425-63-6 / 9789814425636
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich
Sieben ausgewählte Themenstellungen

von Hartmut Menzer; Ingo Althöfer

Buch | Softcover (2024)
De Gruyter Oldenbourg (Verlag)
59,95
unlock your imagination with the narrative of numbers

von Dave Kester; Mikaela Ashcroft

Buch | Softcover (2024)
Advantage Media Group (Verlag)
19,90