Higher Arithmetic

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

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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.

Higher Arithmetic

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

Get Book Here

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.

The Higher Arithmetic

The Higher Arithmetic PDF Author: Harold Davenport
Publisher:
ISBN: 9780511650161
Category : Mathematics
Languages : en
Pages : 251

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Book Description
Classic text in number theory; this eighth edition contains new material on primality testing written by J. H. Davenport.

Arithmetic of Higher-Dimensional Algebraic Varieties

Arithmetic of Higher-Dimensional Algebraic Varieties PDF Author: Bjorn Poonen
Publisher: Springer Science & Business Media
ISBN: 0817681701
Category : Mathematics
Languages : en
Pages : 292

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Book Description
This text offers a collection of survey and research papers by leading specialists in the field documenting the current understanding of higher dimensional varieties. Recently, it has become clear that ideas from many branches of mathematics can be successfully employed in the study of rational and integral points. This book will be very valuable for researchers from these various fields who have an interest in arithmetic applications, specialists in arithmetic geometry itself, and graduate students wishing to pursue research in this area.

Ray's New Higher Arithmetic

Ray's New Higher Arithmetic PDF Author: Joseph Ray
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 420

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Book Description


Quadratic Number Theory

Quadratic Number Theory PDF Author: J. L. Lehman
Publisher: American Mathematical Soc.
ISBN: 1470447371
Category : Mathematics
Languages : en
Pages : 410

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Book Description
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.

Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts

Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts PDF Author: David C. Geary
Publisher: Academic Press
ISBN: 0128133686
Category : Psychology
Languages : en
Pages : 362

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Book Description
Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts focuses on typical and atypical learning of complex arithmetic skills and higher-order math concepts. As part of the series Mathematical Cognition and Learning, this volume covers recent advances in the understanding of children's developing competencies with whole-number arithmetic, fractions, and rational numbers. Each chapter covers these topics from multiple perspectives, including genetic disorders, cognition, instruction, and neural networks. - Covers innovative measures and recent methodological advances in mathematical thinking and learning - Contains contributions that improve instruction and education in these domains - Informs policy aimed at increasing the level of mathematical proficiency in the general public

Towards Higher Mathematics: A Companion

Towards Higher Mathematics: A Companion PDF Author: Richard Earl
Publisher: Cambridge University Press
ISBN: 1107162386
Category : Mathematics
Languages : en
Pages : 545

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Book Description
This book allows students to stretch their mathematical abilities and bridges the gap between school and university.

A Concrete Introduction to Higher Algebra

A Concrete Introduction to Higher Algebra PDF Author: Lindsay N. Childs
Publisher: Springer Science & Business Media
ISBN: 1441987029
Category : Mathematics
Languages : en
Pages : 540

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Book Description
An informal and readable introduction to higher algebra at the post-calculus level. The concepts of ring and field are introduced through study of the familiar examples of the integers and polynomials, with much emphasis placed on congruence classes leading the way to finite groups and finite fields. New examples and theory are integrated in a well-motivated fashion and made relevant by many applications -- to cryptography, coding, integration, history of mathematics, and especially to elementary and computational number theory. The later chapters include expositions of Rabiin's probabilistic primality test, quadratic reciprocity, and the classification of finite fields. Over 900 exercises, ranging from routine examples to extensions of theory, are scattered throughout the book, with hints and answers for many of them included in an appendix.

Ray's New Primary Arithmetic

Ray's New Primary Arithmetic PDF Author: Joseph Ray
Publisher: Ravenio Books
ISBN:
Category : Juvenile Nonfiction
Languages : en
Pages : 162

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Book Description
In 19th century America, Joseph Ray was the McGuffey of arithmetic. His textbooks, used throughout the United States, laid the mathematical foundations for the generations of inventors, engineers and businessmen who would make the nation a world power.

Elementary Mathematics from an Advanced Standpoint - Arithmetic - Algebra - Analysis

Elementary Mathematics from an Advanced Standpoint - Arithmetic - Algebra - Analysis PDF Author: Felix Klein
Publisher: Aslan Press
ISBN: 1406700142
Category : Mathematics
Languages : en
Pages : 288

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Book Description
This book provides a fascinating and inspirational read for anyone with an interest in advanced mathematics, written by the great German mathematician Felix Klein. It is highly recommended for inclusion on the bookshelf of anyone with an interest in the subject.