Introduction to Coding Theory (1版)

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(特價)Introduction to Coding Theory 2006 (CAM.) 0-521-84504-1 R.M.ROTH 9780521845045

INTRODUCTION TO ALGEBRAIC CODING THEORY

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In this age of technology where messages are transmitted in sequences of 0's and 1's through space, errors can occur due to noisy channels. Thus, self-correcting code is vital to eradicate these errors when the number of errors is small. It is widely used in industry for a variety of applications including e-mail, telephone, and remote sensing (for example, photographs of Mars). An expert in algebra and algebraic geometry, Tzuong-Tsieng Moh covers many essential aspects of algebraic coding theory in this book, such as elementary algebraic coding theories, the mathematical theory of vector spaces and linear algebras behind them, various rings and associated coding theories, a fast decoding method, useful parts of algebraic geometry and geometric coding theories. This book is accessible to advanced undergraduate students, graduate students, coding theorists and algebraic geometers. Request Inspection Copy Sample Chapter(s) Introduction Chapter 1: Linear Codes Contents: Vector Space Codes: Linear Codes Ring Codes: Rings Ring Codes Algebraic Geometry Algebraic Geometry Algebraic Geometric Codes: Algebraic Curve Goppa Codes Decoding the Geometric Goppa Codes Appendices: Convolution Codes Sphere-Packing Problem and Weight Enumerators Other Important Coding and Decoding Methods Berlekamp's Decoding Algorithm Readership: Advanced college students, graduate students, working coding theorists, working algebraic geometers.

A Computational Introduction to Quantum Physics (1版)

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【簡介】 This concise textbook introduces an innovative computational approach to quantum mechanics. Over the course of this engaging and informal book, students are encouraged to take an active role in learning key concepts by working through practical exercises. The book equips readers with some basic methodology and a toolbox of scientific computing methods, so they can use code to simulate and directly visualize how quantum particles behave. The important foundational elements of the wave function and the Schrödinger equation are first introduced, then the text gradually builds up to advanced topics including relativistic, open, and non-Hermitian quantum physics. This book assumes familiarity with basic mathematics and numerical methods, and can be used to support a two-semester advanced undergraduate course. Source code and solutions for every book exercise involving numerical implementation are provided in Python and MATLAB(R), along with supplementary data. Additional problems are provided online for instructor use with locked solutions.

An Introduction to Gravity (1版)

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【簡介】 Why can't you take Newtonian gravity, add special relativity, and build a relativistic theory of gravity that matches the predictions of our accepted theory, Einstein's general relativity? Ideal for a