Hamilton's Arithmetics PDF Download

Author: Samuel Hamilton
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 280

View

Book Description

Author: Marc Hindry
Publisher: Springer Science & Business Media
ISBN: 1447121317
Category : Mathematics
Languages : en
Pages : 334

View

Book Description
Number theory is a branch of mathematics which draws its vitality from a rich historical background. It is also traditionally nourished through interactions with other areas of research, such as algebra, algebraic geometry, topology, complex analysis and harmonic analysis. More recently, it has made a spectacular appearance in the field of theoretical computer science and in questions of communication, cryptography and error-correcting codes. Providing an elementary introduction to the central topics in number theory, this book spans multiple areas of research. The first part corresponds to an advanced undergraduate course. All of the statements given in this part are of course accompanied by their proofs, with perhaps the exception of some results appearing at the end of the chapters. A copious list of exercises, of varying difficulty, are also included here. The second part is of a higher level and is relevant for the first year of graduate school. It contains an introduction to elliptic curves and a chapter entitled “Developments and Open Problems”, which introduces and brings together various themes oriented toward ongoing mathematical research. Given the multifaceted nature of number theory, the primary aims of this book are to: - provide an overview of the various forms of mathematics useful for studying numbers - demonstrate the necessity of deep and classical themes such as Gauss sums - highlight the role that arithmetic plays in modern applied mathematics - include recent proofs such as the polynomial primality algorithm - approach subjects of contemporary research such as elliptic curves - illustrate the beauty of arithmetic The prerequisites for this text are undergraduate level algebra and a little topology of Rn. It will be of use to undergraduates, graduates and phd students, and may also appeal to professional mathematicians as a reference text.

Author: Paul Lockhart
Publisher: Harvard University Press
ISBN: 067423751X
Category : Mathematics
Languages : en
Pages : 232

View

Book Description
Paul Lockhart reveals arithmetic not as the rote manipulation of numbers but as a set of ideas that exhibit the surprising behaviors usually reserved for higher branches of mathematics. In this entertaining survey, he explores the nature of counting and different number systems—Western and non-Western—and weighs the pluses and minuses of each.

Author: Charles H. Gleason
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 536

View

Book Description

Author: Louis Charles Karpinski
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 214

View

Book Description

Author: Audre Lorde
Publisher: W. W. Norton
ISBN: 9780393311709
Category : Poetry
Languages : en
Pages : 72

View

Book Description
A final volume of poetry written during the last five years of the 1991 New York State Poet's life explores her international concerns. By the winner of the Manhattan Borough President's Award for Excellence in the Arts. Reprint.

Author: Catherine Goldstein
Publisher: Springer Science & Business Media
ISBN: 3540347208
Category : Mathematics
Languages : en
Pages : 579

View

Book Description
Since its publication, C.F. Gauss's Disquisitiones Arithmeticae (1801) has acquired an almost mythical reputation, standing as an ideal of exposition in notation, problems and methods; as a model of organisation and theory building; and as a source of mathematical inspiration. Eighteen authors - mathematicians, historians, philosophers - have collaborated in this volume to assess the impact of the Disquisitiones, in the two centuries since its publication.

Author: Thomas Alexander
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 148

View

Book Description

Author: Vlad P. Shmerko
Publisher: CRC Press
ISBN: 1420066218
Category : Technology & Engineering
Languages : en
Pages : 841

View

Book Description
Emphasizes the Basic Principles of Computational Arithmetic and Computational Structure Design Taking an interdisciplinary approach to the nanoscale generation of computer devices and systems, Computer Arithmetics for Nanoelectronics develops a consensus between computational properties provided by data structures and phenomenological properties of nano and molecular technology. Covers All Stages of the Design Cycle, from Task Formulation to Molecular-Based Implementation The book introduces the theoretical base and properties of various data structures, along with techniques for their manipulation, optimization, and implementation. It also assigns the computational properties of logic design data structures to 3D structures, furnishes information-theoretical measures and design aspects, and discusses the testability problem. The last chapter presents a nanoscale prospect for natural computing based on assorted computing paradigms from nature. Balanced Coverage of State-of-the-Art Concepts, Techniques, and Practices Up-to-date, comprehensive, and pragmatic in its approach, this text provides a unified overview of the relationship between the fundamentals of digital system design, computer architectures, and micro- and nanoelectronics.

Author: George Drayton Strayer
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 346

View

Book Description