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Author: Reuben Louis Goodstein Publisher: ISBN: Category : Arithmetic Languages : en Pages : 214
Book Description
A deadly biochemical virus called Captain Trips kills nearly everyone it infects, and the individuals who survive the virus are sought by the government that engineered it.
Author: Reuben Louis Goodstein Publisher: ISBN: Category : Arithmetic Languages : en Pages : 214
Book Description
A deadly biochemical virus called Captain Trips kills nearly everyone it infects, and the individuals who survive the virus are sought by the government that engineered it.
Author: Nigel Cutland Publisher: Cambridge University Press ISBN: 9780521294652 Category : Computers Languages : en Pages : 268
Book Description
What can computers do in principle? What are their inherent theoretical limitations? The theoretical framework which enables such questions to be answered has been developed over the last fifty years from the idea of a computable function - a function whose values can be calculated in an automatic way.
Author: R. L. Goodstein Publisher: Courier Corporation ISBN: 0486158152 Category : Mathematics Languages : en Pages : 213
Book Description
This text by a master in the field covers recursive convergence, recursive and relative continuity, recursive and relative differentiability, the relative integral, elementary functions, and transfinite ordinals. 1961 edition.
Author: Anthony Vazzana Publisher: CRC Press ISBN: 1584889373 Category : Mathematics Languages : en Pages : 537
Book Description
One of the oldest branches of mathematics, number theory is a vast field devoted to studying the properties of whole numbers. Offering a flexible format for a one- or two-semester course, Introduction to Number Theory uses worked examples, numerous exercises, and two popular software packages to describe a diverse array of number theory topics. This classroom-tested, student-friendly text covers a wide range of subjects, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to recent developments that include cryptography, the theory of elliptic curves, and the negative solution of Hilbert’s tenth problem. The authors illustrate the connections between number theory and other areas of mathematics, including algebra, analysis, and combinatorics. They also describe applications of number theory to real-world problems, such as congruences in the ISBN system, modular arithmetic and Euler’s theorem in RSA encryption, and quadratic residues in the construction of tournaments. The book interweaves the theoretical development of the material with Mathematica® and MapleTM calculations while giving brief tutorials on the software in the appendices. Highlighting both fundamental and advanced topics, this introduction provides all of the tools to achieve a solid foundation in number theory.
Author: Craig Smorynski Publisher: Springer Science & Business Media ISBN: 3642754627 Category : Mathematics Languages : en Pages : 416
Book Description
Number theory as studied by the logician is the subject matter of the book. This first volume can stand on its own as a somewhat unorthodox introduction to mathematical logic for undergraduates, dealing with the usual introductory material: recursion theory, first-order logic, completeness, incompleteness, and undecidability. In addition, its second chapter contains the most complete logical discussion of Diophantine Decision Problems available anywhere, taking the reader right up to the frontiers of research (yet remaining accessible to the undergraduate). The first and third chapters also offer greater depth and breadth in logico-arithmetical matters than can be found in existing logic texts. Each chapter contains numerous exercises, historical and other comments aimed at developing the student's perspective on the subject, and a partially annotated bibliography.
Author: Yu. I. Manin Publisher: Springer Science & Business Media ISBN: 3540276920 Category : Mathematics Languages : en Pages : 519
Book Description
This edition has been called ‘startlingly up-to-date’, and in this corrected second printing you can be sure that it’s even more contemporaneous. It surveys from a unified point of view both the modern state and the trends of continuing development in various branches of number theory. Illuminated by elementary problems, the central ideas of modern theories are laid bare. Some topics covered include non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. This substantially revised and expanded new edition contains several new sections, such as Wiles' proof of Fermat's Last Theorem, and relevant techniques coming from a synthesis of various theories.
Author: J. L. Lehman Publisher: American Mathematical Soc. ISBN: 1470447371 Category : Mathematics Languages : en Pages : 410
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: Reuben Louis Goodstein
Author: Reuben Louis Goodstein
Author: Piergiorgio Odifreddi
Author: Nigel Cutland
Author: R. L. Goodstein
Author: Anthony Vazzana
Author: Craig Smorynski
Author: Yu. I. Manin
Author: Nels David Nelson
Author: Samuel Eilenberg
Author: J. L. Lehman