Number Theory In Science And Communication PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Number Theory In Science And Communication PDF full book. Access full book title Number Theory In Science And Communication.
Author | : Manfred R. Schroeder |
Publisher | : Springer Science & Business Media |
Total Pages | : 340 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 3662023954 |
Download Number Theory in Science and Communication Book in PDF, ePub and Kindle
"Beauty is the first test: there is no permanent place in the world for ugly mathematics. " - G. H. Hardy N umber theory has been considered since time immemorial to be the very paradigm of pure (some would say useless) mathematics. In fact, the Chinese characters for mathematics are Number Science. "Mathematics is the queen of sciences - and number theory is the queen of mathematics," according to Carl Friedrich Gauss, the lifelong Wunderkind, who hirnself enjoyed the epithet "Princeps Mathematicorum. " What could be more beautiful than a deep, satisfying relation between whole numbers. {One is almost tempted to call them wholesome numbersJ In fact, it is hard to come up with a more appropriate designation than their learned name: the integers - meaning the "untouched ones". How high they rank, in the realms of pure thought and aesthetics, above their lesser brethren: the real and complex number- whose first names virtually exude unsavory involvement with the complex realities of everyday life! Yet, as we shall see in this book, the theory of integers can provide totally unexpected answers to real-world problems. In fact, discrete mathematics is ta king on an ever more important role. If nothing else, the advent of the digital computer and digital communication has seen to that. But even earlier, in physics the emergence of quantum mechanics and discrete elementary particles put a premium on the methods and, indeed, the spirit of discrete mathematics.
Author | : M.R. Schroeder |
Publisher | : Springer Science & Business Media |
Total Pages | : 390 |
Release | : 2006-01-06 |
Genre | : Mathematics |
ISBN | : 3540265988 |
Download Number Theory in Science and Communication Book in PDF, ePub and Kindle
Number Theory in Science and Communication introductes non-mathematicians to the fascinating and diverse applications of number theory. This best-selling book stresses intuitive understanding rather than abstract theory. This revised fourth edition is augmented by recent advances in primes in progressions, twin primes, prime triplets, prime quadruplets and quintruplets, factoring with elliptic curves, quantum factoring, Golomb rulers and "baroque" integers.
Author | : Manfred Schroeder |
Publisher | : Springer Science & Business Media |
Total Pages | : 424 |
Release | : 2008-11-06 |
Genre | : Science |
ISBN | : 3540852972 |
Download Number Theory in Science and Communication Book in PDF, ePub and Kindle
"Number Theory in Science and Communication" is a well-known introduction for non-mathematicians to this fascinating and useful branch of applied mathematics . It stresses intuitive understanding rather than abstract theory and highlights important concepts such as continued fractions, the golden ratio, quadratic residues and Chinese remainders, trapdoor functions, pseudo primes and primitive elements. Their applications to problems in the real world are one of the main themes of the book. This revised fifth edition is augmented by recent advances in coding theory, permutations and derangements and a chapter in quantum cryptography. From reviews of earlier editions – "I continue to find [Schroeder’s] Number Theory a goldmine of valuable information. It is a marvelous book, in touch with the most recent applications of number theory and written with great clarity and humor.’ Philip Morrison (Scientific American) "A light-hearted and readable volume with a wide range of applications to which the author has been a productive contributor – useful mathematics outside the formalities of theorem and proof." Martin Gardner
Author | : M. R. Schroeder |
Publisher | : |
Total Pages | : |
Release | : 1984 |
Genre | : |
ISBN | : |
Download Number Theory in Science and Communication Book in PDF, ePub and Kindle
Author | : Manfred Schroeder |
Publisher | : |
Total Pages | : 388 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9783662034316 |
Download Number Theory in Science and Communication Book in PDF, ePub and Kindle
Author | : Manfred R. Schroeder |
Publisher | : |
Total Pages | : 346 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9783662023969 |
Download Number Theory in Science and Communication Book in PDF, ePub and Kindle
Author | : Manfred Robert Schroeder |
Publisher | : Springer Science & Business Media |
Total Pages | : 392 |
Release | : 1997 |
Genre | : Computers |
ISBN | : 9783540620068 |
Download Number Theory in Science and Communication Book in PDF, ePub and Kindle
Number Theory in Science and Communication is an introduction for non-mathematicians. The book stresses intuitive understanding rather than abstract theory and highlights important concepts such as continued fractions, the golden ratio, quadratic residues and Chinese remainders, trapdoor functions, pseudoprimes and primituve elements. Their applications to problems in the real world is one of the main themes of the book. This third edition is augmented by recent advances in primes in progressions, twin primes, prime triplets, prime quadruplets and quintruplets, factoring with elliptic curves, quantum factoring, Golomb rulers and "baroque" integers.
Author | : Manfred Robert Schroeder |
Publisher | : |
Total Pages | : 367 |
Release | : 2006 |
Genre | : |
ISBN | : |
Download Number Theory in Science and Communication Book in PDF, ePub and Kindle
Author | : Manfred R. Schroeder |
Publisher | : Springer Science & Business Media |
Total Pages | : 374 |
Release | : 1990 |
Genre | : Nombres, Théorie des |
ISBN | : 9783540158004 |
Download Number Theory in Science and Communication Book in PDF, ePub and Kindle
This book illustrates the application of Number Theory to practical problems in physics, digital information processing. computing, cryptography, acoustics, crystallography (quasicrystals), fractals and self-similarity. Its aim is to widen the horizon of readers with a minimum of mathematicasl training to the basic facts of number theory. The otpics treated informally, stressing intuition rather then formal proofs. The book demonstrates that there are a surprising numbe rof applications of a field which is tradiationally considered raterh abstract, and from this realization readers are led to a depp appreciation of tzhe usefulness of finite mathematics and its multi-faeted interactions with the real world. The Second Edition includes much new material on self-similarity, factals, quasicrystals, Cantor sets, Hausdorff dimensions, detemrinicstic chaos, errof-free computation, spread-spectrum communication systems, optimal ambiguity functions for radar and sonar, and Fibonacci numbers. From the reviews "A lighthearted and readable volume with a wide range of applications to which the author has been a pA1/4roductive contributor - useful mathematics given outside the formalities of theorem and proof. Philip Morrison - Scientific American NTS***
Author | : Victor Beresnevich |
Publisher | : Springer Nature |
Total Pages | : 281 |
Release | : 2021-01-08 |
Genre | : Technology & Engineering |
ISBN | : 3030613038 |
Download Number Theory Meets Wireless Communications Book in PDF, ePub and Kindle
This volume explores the rich interplay between number theory and wireless communications, reviewing the surprisingly deep connections between these fields and presenting new research directions to inspire future research. The contributions of this volume stem from the Workshop on Interactions between Number Theory and Wireless Communication held at the University of York in 2016. The chapters, written by leading experts in their respective fields, provide direct overviews of highly exciting current research developments. The topics discussed include metric Diophantine approximation, geometry of numbers, homogeneous dynamics, algebraic lattices and codes, network and channel coding, and interference alignment. The book is edited by experts working in number theory and communication theory. It thus provides unique insight into key concepts, cutting-edge results, and modern techniques that play an essential role in contemporary research. Great effort has been made to present the material in a manner that is accessible to new researchers, including PhD students. The book will also be essential reading for established researchers working in number theory or wireless communications looking to broaden their outlook and contribute to this emerging interdisciplinary area.