Exploring Number Theory with Microcomputers

Exploring Number Theory with Microcomputers PDF Author: Donald D. Spencer
Publisher:
ISBN:
Category : Microcomputers
Languages : en
Pages : 298

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Exploring Number Theory with Microcomputers

Exploring Number Theory with Microcomputers PDF Author: Donald D. Spencer
Publisher:
ISBN:
Category : Microcomputers
Languages : en
Pages : 298

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Book Description


Exploring Number Theory with Microcomputers, Grades 9-12

Exploring Number Theory with Microcomputers, Grades 9-12 PDF Author: Donald D. Spencer
Publisher:
ISBN: 9780892183203
Category :
Languages : en
Pages : 290

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Elementary Number Theory with Programming

Elementary Number Theory with Programming PDF Author: Marty Lewinter
Publisher: John Wiley & Sons
ISBN: 1119062764
Category : Mathematics
Languages : en
Pages : 240

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Book Description
A highly successful presentation of the fundamental concepts of number theory and computer programming Bridging an existing gap between mathematics and programming, Elementary Number Theory with Programming provides a unique introduction to elementary number theory with fundamental coverage of computer programming. Written by highly-qualified experts in the fields of computer science and mathematics, the book features accessible coverage for readers with various levels of experience and explores number theory in the context of programming without relying on advanced prerequisite knowledge and concepts in either area. Elementary Number Theory with Programming features comprehensive coverage of the methodology and applications of the most well-known theorems, problems, and concepts in number theory. Using standard mathematical applications within the programming field, the book presents modular arithmetic and prime decomposition, which are the basis of the public-private key system of cryptography. In addition, the book includes: Numerous examples, exercises, and research challenges in each chapter to encourage readers to work through the discussed concepts and ideas Select solutions to the chapter exercises in an appendix Plentiful sample computer programs to aid comprehension of the presented material for readers who have either never done any programming or need to improve their existing skill set A related website with links to select exercises An Instructor’s Solutions Manual available on a companion website Elementary Number Theory with Programming is a useful textbook for undergraduate and graduate-level students majoring in mathematics or computer science, as well as an excellent supplement for teachers and students who would like to better understand and appreciate number theory and computer programming. The book is also an ideal reference for computer scientists, programmers, and researchers interested in the mathematical applications of programming.

Number Theory for Computing

Number Theory for Computing PDF Author: Song Y. Yan
Publisher: Springer Science & Business Media
ISBN: 3662040530
Category : Computers
Languages : en
Pages : 396

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Book Description
Taking readers from elementary number theory, via algorithmic, to applied number theory in computer science, this text introduces basic concepts, results, and methods, before going on to discuss their applications in the design of hardware and software, cryptography, and security. Aimed at undergraduates in computing and information technology, and presupposing only high-school math, this book will also interest mathematics students concerned with applications. XXXXXXX Neuer Text This is an essential introduction to number theory for computer scientists. It treats three areas, elementary-, algorithmic-, and applied number theory in a unified and accessible manner. It introduces basic concepts and methods, and discusses their applications to the design of hardware, software, cryptography, and information security. Aimed at computer scientists, electrical engineers and students the presentation presupposes only an understanding of high-school math.

Number Theory in Mathematics Education

Number Theory in Mathematics Education PDF Author: Rina Zazkis
Publisher: Routledge
ISBN: 1136501436
Category : Education
Languages : en
Pages : 306

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Book Description
This book offers multiple interconnected perspectives on the largely untapped potential of elementary number theory for mathematics education: its formal and cognitive nature, its relation to arithmetic and algebra, its accessibility, its utility and intrinsic merits, to name just a few. Its purpose is to promote explication and critical dialogue about these issues within the international mathematics education community. The studies comprise a variety of pedagogical and research orientations by an international group of researchers that, collectively, make a compelling case for the relevance and importance of number theory in mathematics education in both pre K-16 settings and mathematics teacher education. Topics variously engaged include: *understanding particular concepts related to numerical structure and number theory; *elaborating on the historical and psychological relevance of number theory in concept development; *attaining a smooth transition and extension from pattern recognition to formative principles; *appreciating the aesthetics of number structure; *exploring its suitability in terms of making connections leading to aha! insights and reaching toward the learner's affective domain; *reexamining previously constructed knowledge from a novel angle; *investigating connections between technique and theory; *utilizing computers and calculators as pedagogical tools; and *generally illuminating the role number theory concepts could play in developing mathematical knowledge and reasoning in students and teachers. Overall, the chapters of this book highlight number theory-related topics as a stepping-stone from arithmetic toward generalization and algebraic formalism, and as a means for providing intuitively grounded meanings of numbers, variables, functions, and proofs. Number Theory in Mathematics Education: Perspectives and Prospects is of interest to researchers, teacher educators, and students in the field of mathematics education, and is well suited as a text for upper-level mathematics education courses.

Microchip Mathematics

Microchip Mathematics PDF Author: Keith J. Devlin
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 220

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Modern Instrumentation

Modern Instrumentation PDF Author: G Silverman
Publisher: CRC Press
ISBN: 9780750302982
Category : Science
Languages : en
Pages : 476

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Book Description
Modern science and engineering relies heavily on understanding computer hardware and software in order to make effective use of these tools in the laboratory and industrial environments. The authors of Modern Instrumentation: A Computer Approach have succeeded in producing a highly readable source that will serve both newcomers to the field as well as experienced professionals. Including both fundamentals and applications, the book first describes the role of the computer in instrument systems and provides numerous practical examples. The second part of the book explores specific software packages and their capabilities for applications such as, instrument design and simulation, data acquisition, data processing, and the potential of artificial intelligence in instrument design. Because of the full integration of theory with practical applications of leading software packages, this book is an extremely useful reference for those who use computer-based instrument technology for data acquisition and who are involved with hardware or software development for laboratory and process control.

Number Theory with Computer Applications

Number Theory with Computer Applications PDF Author: Ramanujachary Kumanduri
Publisher: Pearson
ISBN:
Category : Mathematics
Languages : en
Pages : 566

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Book Description
Appropriate for most courses in Number Theory. This book effectively integrates computing algorithms into the number theory curriculum using a heuristic approach and strong emphasis on proofs. Its in-depth coverage of modern applications considers the latest trends and topics, such as elliptic curves--a subject that has seen a rise in popularity due to its use in the proof of Fermat's Last Theorem.

Computers in Number Theory

Computers in Number Theory PDF Author: Donald D. Spencer
Publisher: Computer Science Press, Incorporated
ISBN:
Category : Computers
Languages : en
Pages : 270

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Book Description


Microcomputers and Mathematics

Microcomputers and Mathematics PDF Author: James William Bruce
Publisher: Cambridge University Press
ISBN: 9780521312387
Category : Computers
Languages : en
Pages : 448

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Book Description
The purpose of this book is to give those with some mathematical background a wealth of material with which to appreciate both the power of the microcomputer and its relevance to the study of mathematics. Topics covered include number theory, approximate solutions and differential equations.