65 books (4 pages) in this category
by Burn, R. P.
Number theory is concerned with the properties of the natural numbers: 1, 2, 3 ... During the seventeenth and eighteenth centuries, number theory became established through the work of Fermat, Euler and Gauss. With the hand calculators and ...eBook
by Goeters, Pat
About the book...<BR><BR>In honor of Edgar Enochs and his venerable contributions to a broad range of topics in Algebra, top researchers from around the world gathered at Auburn University to report on their latest work and exchange ideas on ...eBook
by Shimura, Goro
<p>Reciprocity laws of various kinds play a central role in number theory. In the easiest case, one obtains a transparent formulation by means of roots of unity, which are special values of exponential functions. A similar theory can be ...eBook
by Mollin, Richard A.
<P>Exploring one of the most dynamic areas of mathematics, <STRONG>Advanced Number Theory with Applications</STRONG> covers a wide range of algebraic, analytic, combinatorial, cryptographic, and geometric aspects of number theory. Written by a ...eBook
by Ling, San
<P>The reach of algebraic curves in cryptography goes far beyond elliptic curve or public key cryptography yet these other application areas have not been systematically covered in the literature. Addressing this gap, <STRONG>Algebraic Curves ineBook
by Stewart, Ian
<P>Updated to reflect current research, <STRONG>Algebraic Number Theory and Fermat's Last Theorem, Fourth Edition</STRONG> introduces fundamental ideas of algebraic numbers and explores one of the most intriguing stories in the history of ...eBook
by Hazewinkel, Michiel
<P>The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics. General algebra, more specifically non-commutative algebra, is poised for major advances in the twenty-first century (together with and in ...eBook
by Dwork, Bernard
<p>Written for advanced undergraduate and first-year graduate students, this book aims to introduce students to a serious level of <i>p</i>-adic analysis with important implications for number theory. The main object is the study of G-series, ...eBook
by Kraft, James S.
<P>Number theory has a rich history. For many years it was one of the purest areas of pure mathematics, studied because of the intellectual fascination with properties of integers. More recently, it has been an area that also has important ...eBook
by Smith, Jonathan D. H.
Collecting results scattered throughout the literature into one source, An Introduction to Quasigroups and Their Representations shows how representation theories for groups are capable of extending to general quasigroups and illustrates the ...eBook
by Patterson, S. J.
This is a modern introduction to the analytic techniques used in the investigation of zeta functions, through the example of the Riemann zeta function. Riemann introduced this function in connection with his study of prime numbers and from this ...eBook
by Borel, Armand
This book provides an introduction to some aspects of the analytic theory of automorphic forms on G=SL2(R) or the upper-half plane X, with respect to a discrete subgroup G of G of finite covolume. The point of view is inspired by the theory of ...eBook
by McKeague, Charles P.
Beginning Algebra: A Text/Workbook, Second Edition focuses on the principles, operations, and approaches involved in algebra. <br><br>The publication first elaborates on the basics, linear equations and inequalities, and graphing and linear ...eBook
by Sivaramakrishnan, R
Many basic ideas of algebra and number theory intertwine, making it ideal to explore both at the same time. <b>Certain Number-Theoretic Episodes in Algebra</b> focuses on some important aspects of interconnections between number theory and ...eBook
by Daniel Fretwell
Research Paper from the year 2011 in the subject Mathematics - Number Theory, grade: Postgraduate, University of Sheffield, language: English, abstract: This is the first in a two part series of papers establishing (with proof) the main theoremseBook
by Kay, David C.
<P>Designed for mathematics majors and other students who intend to teach mathematics at the secondary school level, <STRONG>College Geometry: A Unified Development</STRONG> unifies the three classical geometries within an axiomatic framework. ...eBook
by Csákány, B.
Contributions to Universal Algebra focuses on the study of algebra. <br>The compilation first discusses the congruence lattice of pseudo-simple algebras; elementary properties of limit reduced powers with applications to Boolean powers; and ...eBook
by Cheltsov, Ivan
<P><STRONG>Cremona Groups and the Icosahedron</STRONG> focuses on the Cremona groups of ranks 2 and 3 and describes the beautiful appearances of the icosahedral group A<SUB>5</SUB> in them. The book surveys known facts about surfaces with an ...eBook
by Burns, Keith
Accessible, concise, and self-contained, this book offers an outstanding introduction to three related subjects: differential geometry, differential topology, and dynamical systems. Topics of special interest addressed in the book include ...eBook
by Faticoni, Theodore G.
With plenty of new material not found in other books, Direct Sum Decompositions of Torsion-Free Finite Rank Groups explores advanced topics in direct sum decompositions of abelian groups and their consequences. The book illustrates a new way of ...eBook