Number Theory With Computer Applications PDF Download
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| Author | : Ramanujachary Kumanduri |
| Publisher | : Pearson |
| Total Pages | : 566 |
| Release | : 1998 |
| Genre | : Mathematics |
| ISBN | : |
Download Number Theory with Computer Applications Book in PDF, ePub and Kindle
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.
| Author | : Song Y. Yan |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 454 |
| Release | : 2013-11-11 |
| Genre | : Computers |
| ISBN | : 366204773X |
Download Number Theory for Computing Book in PDF, ePub and Kindle
This book provides a good introduction to the classical elementary number theory and the modern algorithmic number theory, and their applications in computing and information technology, including computer systems design, cryptography and network security. In this second edition proofs of many theorems have been provided, further additions and corrections were made.
| Author | : Thomas Koshy |
| Publisher | : Elsevier |
| Total Pages | : 801 |
| Release | : 2007-05-08 |
| Genre | : Mathematics |
| ISBN | : 0080547095 |
Download Elementary Number Theory with Applications Book in PDF, ePub and Kindle
This second edition updates the well-regarded 2001 publication with new short sections on topics like Catalan numbers and their relationship to Pascal's triangle and Mersenne numbers, Pollard rho factorization method, Hoggatt-Hensell identity. Koshy has added a new chapter on continued fractions. The unique features of the first edition like news of recent discoveries, biographical sketches of mathematicians, and applications--like the use of congruence in scheduling of a round-robin tournament--are being refreshed with current information. More challenging exercises are included both in the textbook and in the instructor's manual. Elementary Number Theory with Applications 2e is ideally suited for undergraduate students and is especially appropriate for prospective and in-service math teachers at the high school and middle school levels. * Loaded with pedagogical features including fully worked examples, graded exercises, chapter summaries, and computer exercises * Covers crucial applications of theory like computer security, ISBNs, ZIP codes, and UPC bar codes * Biographical sketches lay out the history of mathematics, emphasizing its roots in India and the Middle East
| Author | : Marty Lewinter |
| Publisher | : John Wiley & Sons |
| Total Pages | : 240 |
| Release | : 2015-06-02 |
| Genre | : Mathematics |
| ISBN | : 1119062764 |
Download Elementary Number Theory with Programming Book in PDF, ePub and Kindle
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.
| Author | : Jaime Gutierrez |
| Publisher | : Springer |
| Total Pages | : 222 |
| Release | : 2015-01-20 |
| Genre | : Computers |
| ISBN | : 3319150812 |
Download Computer Algebra and Polynomials Book in PDF, ePub and Kindle
Algebra and number theory have always been counted among the most beautiful mathematical areas with deep proofs and elegant results. However, for a long time they were not considered that important in view of the lack of real-life applications. This has dramatically changed: nowadays we find applications of algebra and number theory frequently in our daily life. This book focuses on the theory and algorithms for polynomials over various coefficient domains such as a finite field or ring. The operations on polynomials in the focus are factorization, composition and decomposition, basis computation for modules, etc. Algorithms for such operations on polynomials have always been a central interest in computer algebra, as it combines formal (the variables) and algebraic or numeric (the coefficients) aspects. The papers presented were selected from the Workshop on Computer Algebra and Polynomials, which was held in Linz at the Johann Radon Institute for Computational and Applied Mathematics (RICAM) during November 25-29, 2013, at the occasion of the Special Semester on Applications of Algebra and Number Theory.
| Author | : Michal Křížek |
| Publisher | : Springer Nature |
| Total Pages | : 342 |
| Release | : 2021-09-21 |
| Genre | : Mathematics |
| ISBN | : 3030838994 |
Download From Great Discoveries in Number Theory to Applications Book in PDF, ePub and Kindle
This book provides an overview of many interesting properties of natural numbers, demonstrating their applications in areas such as cryptography, geometry, astronomy, mechanics, computer science, and recreational mathematics. In particular, it presents the main ideas of error-detecting and error-correcting codes, digital signatures, hashing functions, generators of pseudorandom numbers, and the RSA method based on large prime numbers. A diverse array of topics is covered, from the properties and applications of prime numbers, some surprising connections between number theory and graph theory, pseudoprimes, Fibonacci and Lucas numbers, and the construction of Magic and Latin squares, to the mathematics behind Prague’s astronomical clock. Introducing a general mathematical audience to some of the basic ideas and algebraic methods connected with various types of natural numbers, the book will provide invaluable reading for amateurs and professionals alike.
| Author | : Victor Shoup |
| Publisher | : Cambridge University Press |
| Total Pages | : 544 |
| Release | : 2005-04-28 |
| Genre | : Computers |
| ISBN | : 9780521851541 |
Download A Computational Introduction to Number Theory and Algebra Book in PDF, ePub and Kindle
This introductory book emphasises algorithms and applications, such as cryptography and error correcting codes.
| Author | : Eric Bach |
| Publisher | : MIT Press |
| Total Pages | : 536 |
| Release | : 1996 |
| Genre | : Computers |
| ISBN | : 9780262024051 |
Download Algorithmic Number Theory: Efficient algorithms Book in PDF, ePub and Kindle
Volume 1.
| Author | : Abhijit Das |
| Publisher | : CRC Press |
| Total Pages | : 614 |
| Release | : 2016-04-19 |
| Genre | : Computers |
| ISBN | : 1482205823 |
Download Computational Number Theory Book in PDF, ePub and Kindle
Developed from the author's popular graduate-level course, Computational Number Theory presents a complete treatment of number-theoretic algorithms. Avoiding advanced algebra, this self-contained text is designed for advanced undergraduate and beginning graduate students in engineering. It is also suitable for researchers new to the field and pract
| Author | : H. E. Rose |
| Publisher | : Oxford University Press |
| Total Pages | : 420 |
| Release | : 1995 |
| Genre | : Mathematics |
| ISBN | : 9780198523765 |
Download A Course in Number Theory Book in PDF, ePub and Kindle
This textbook covers the main topics in number theory as taught in universities throughout the world. Number theory deals mainly with properties of integers and rational numbers; it is not an organized theory in the usual sense but a vast collection of individual topics and results, with some coherent sub-theories and a long list of unsolved problems. This book excludes topics relying heavily on complex analysis and advanced algebraic number theory. The increased use of computers in number theory is reflected in many sections (with much greater emphasis in this edition). Some results of a more advanced nature are also given, including the Gelfond-Schneider theorem, the prime number theorem, and the Mordell-Weil theorem. The latest work on Fermat's last theorem is also briefly discussed. Each chapter ends with a collection of problems; hints or sketch solutions are given at the end of the book, together with various useful tables.
