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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.
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.
Author: H. Davenport Publisher: Cambridge University Press ISBN: 0521722365 Category : Mathematics Languages : en Pages : 0
Book Description
The theory of numbers is generally considered to be the 'purest' branch of pure mathematics and demands exactness of thought and exposition from its devotees. It is also one of the most highly active and engaging areas of mathematics. Now into its eighth edition The Higher Arithmetic introduces the concepts and theorems of number theory in a way that does not require the reader to have an in-depth knowledge of the theory of numbers but also touches upon matters of deep mathematical significance. Since earlier editions, additional material written by J. H. Davenport has been added, on topics such as Wiles' proof of Fermat's Last Theorem, computers and number theory, and primality testing. Written to be accessible to the general reader, with only high school mathematics as prerequisite, this classic book is also ideal for undergraduate courses on number theory, and covers all the necessary material clearly and succinctly.
Author: J. L. Lehman Publisher: American Mathematical Soc. ISBN: 1470447371 Category : Algebraic fields Languages : en Pages : 394
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.
Author: Bjorn Poonen Publisher: Springer Science & Business Media ISBN: 0817681701 Category : Mathematics Languages : en Pages : 292
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.
Author: Norman T. Hamilton Publisher: Courier Dover Publications ISBN: 0486830470 Category : Mathematics Languages : en Pages : 288
Book Description
This text is formulated on the fundamental idea that much of mathematics, including the classical number systems, can best be based on set theory. 1961 edition.
Author: Charles Stanley Ogilvy Publisher: Courier Corporation ISBN: 9780486257785 Category : Mathematics Languages : en Pages : 196
Book Description
Challenging, accessible mathematical adventures involving prime numbers, number patterns, irrationals and iterations, calculating prodigies, and more. No special training is needed, just high school mathematics and an inquisitive mind. "A splendidly written, well selected and presented collection. I recommend the book unreservedly to all readers." — Martin Gardner.
Author: Paul Lockhart Publisher: Harvard University Press ISBN: 067423751X Category : Mathematics Languages : en Pages : 232
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: Harold M. Edwards
Author: Harold M. Edwards
Author: Harold Davenport
Author: Joseph Ray
Author: H. Davenport
Author: J. L. Lehman
Author: Bjorn Poonen
Author: H. Davenport
Author: Norman T. Hamilton
Author: Charles Stanley Ogilvy
Author: Paul Lockhart