PDF/Textbook Introductory Arithmetic Full Download

Basic Mathematics

Author: Serge Lang
Publisher:
ISBN: 9783540967873
Category : Mathematics
Languages : en
Pages : 475

Book Description

Introduction to Arithmetic Groups

Author: Armand Borel
Publisher: American Mathematical Soc.
ISBN: 1470452316
Category : Education
Languages : en
Pages : 118

Book Description
Fifty years after it made the transition from mimeographed lecture notes to a published book, Armand Borel's Introduction aux groupes arithmétiques continues to be very important for the theory of arithmetic groups. In particular, Chapter III of the book remains the standard reference for fundamental results on reduction theory, which is crucial in the study of discrete subgroups of Lie groups and the corresponding homogeneous spaces. The review of the original French version in Mathematical Reviews observes that “the style is concise and the proofs (in later sections) are often demanding of the reader.” To make the translation more approachable, numerous footnotes provide helpful comments.

Introduction to Cardinal Arithmetic

Author: Michael Holz
Publisher: Springer Science & Business Media
ISBN: 9783764361242
Category : Mathematics
Languages : en
Pages : 316

Book Description
An introduction to modern cardinal arithmetic is presented in this volume, in addition to a survey of results. A discussion of classical theory is included, paired with investigations in pcf theory, which answers questions left open since the 1970’s.

Higher Arithmetic

Author: Harold M. Edwards
Publisher: American Mathematical Soc.
ISBN: 9780821844397
Category : Mathematics
Languages : en
Pages : 228

Book Description
Among the topics featured in this textbook are: congruences; the fundamental theorem of arithmetic; exponentiation and orders; primality testing; the RSA cipher system; polynomials; modules of hypernumbers; signatures of equivalence classes; and the theory of binary quadratic forms. The book contains exercises with answers.

Smith's Introductory Arithmetic. The little federal calculator, etc

Author: Roswell C. SMITH
Publisher:
ISBN:
Category :
Languages : en
Pages : 78

Book Description

Number Theory and Geometry: An Introduction to Arithmetic Geometry

Author: Álvaro Lozano-Robledo
Publisher: American Mathematical Soc.
ISBN: 147045016X
Category : Arithmetical algebraic geometry
Languages : en
Pages : 488

Book Description
Geometry and the theory of numbers are as old as some of the oldest historical records of humanity. Ever since antiquity, mathematicians have discovered many beautiful interactions between the two subjects and recorded them in such classical texts as Euclid's Elements and Diophantus's Arithmetica. Nowadays, the field of mathematics that studies the interactions between number theory and algebraic geometry is known as arithmetic geometry. This book is an introduction to number theory and arithmetic geometry, and the goal of the text is to use geometry as the motivation to prove the main theorems in the book. For example, the fundamental theorem of arithmetic is a consequence of the tools we develop in order to find all the integral points on a line in the plane. Similarly, Gauss's law of quadratic reciprocity and the theory of continued fractions naturally arise when we attempt to determine the integral points on a curve in the plane given by a quadratic polynomial equation. After an introduction to the theory of diophantine equations, the rest of the book is structured in three acts that correspond to the study of the integral and rational solutions of linear, quadratic, and cubic curves, respectively. This book describes many applications including modern applications in cryptography; it also presents some recent results in arithmetic geometry. With many exercises, this book can be used as a text for a first course in number theory or for a subsequent course on arithmetic (or diophantine) geometry at the junior-senior level.

Basic Mathematics

Introduction to Arithmetic Groups

Introduction to Cardinal Arithmetic

Higher Arithmetic

Smith's Introductory Arithmetic. The little federal calculator, etc

Number Theory and Geometry: An Introduction to Arithmetic Geometry

Introductory Mathematics

An Introductory Arithmetic

Math Skills

Introduction to the National Arithmetic, on the Inductive System ...