Mathematics of Discrete Structures for Computer Science

The self-taught mathematician Hua Loo-Keng (1910–1985) has been credited with inspiring generations of mathematicians, while his papers on number theory are regarded as some of the most significant contributions made to the subject during the first half of the twentieth century. An Introduction to Higher Mathematics is based on the lectures given by Hua at the University of Science and Technology of China from 1958. The course reflects Hua's instinctive technique, using the simplest tools to tackle even the most difficult problems, and contains both pure and applied mathematics, emphasising the interdependent relationships between different branches of the discipline. With hundreds of diagrams, examples and exercises, this is a wide-ranging reference text for university mathematics and a testament to the teaching of one of the most eminent mathematicians of his generation.

Arising from a special session held at the 2010 North American Annual Meeting of the Association for Symbolic Logic, this volume is an international cross-disciplinary collaboration with contributions from leading experts exploring connections across their respective fields. Themes range from philosophical examination of the foundations of physics and quantum logic, to exploitations of the methods and structures of operator theory, category theory, and knot theory in an effort to gain insight into the fundamental questions in quantum theory and logic. The book will appeal to researchers and students working in related fields, including logicians, mathematicians, computer scientists, and physicists. A brief introduction provides essential background on quantum mechanics and category theory, which, together with a thematic selection of articles, may also serve as the basic material for a graduate course or seminar.

To define better techniques of mathematics education, this book combines a knowledge of cognitive science with mathematics curriculum theory and research. The concept of the human reasoning process ha

There is a long tradition, in the history and philosophy of science, of studying Kant’s philosophy of mathematics, but recently philosophers have begun to examine the way in which Kant’s reflections o

Explores some of the more advanced tools in computer programming such as structured problem solving, object- oriented programming, data abstraction, and the comparative analysis of algorithms. The aut

Visualization is one of the most active and exciting areas of Mathematics and Computing Science, and indeed one which is only beginning to mature. Current visualization algorithms break down for very

This is the first Visual Basic.NET book to provide a comprehensive discussion of the major data structures and algorithms. Here, instead of having to translate material on C++ or Java, the professional or student VB.NET programmer will find a tutorial on how to use data structures and algorithms and a reference for implementation using VB.NET for data structures and algorithms from the .NET Framework Class Library as well as those which must be developed by the programmer. In an object-oriented fashion, the author presents arrays and arraylists, linked lists, hash tables, dictionaries, trees, graphs, sorting and searching as well as more advanced algorithms, such as probabilistic algorithms and dynamic programming. His approach is very practical, for example using timing tests rather than Big O analysis to compare the performance of data structures and algorithms. This book can be used in both beginning and advanced computer programming courses that use the VB.NET language and, most im

During the first half of the 20th century, mathematics became an international discipline that led to major advances in science and technology. Modern Mathematics provides an eye-opening introduction

In the four decades since Imre Lakatos declared mathematics a "quasi-empirical science," increasing attention has been paid to the process of proof and argumentation in the field -- a development para

Mathematical Concepts and Methods in Modern Biology offers a quantitative framework for analyzing, predicting, and modulating the behavior of complex biological systems. The book presents important ma

This book is about the methods used for unifying different scientific theories under one all-embracing theory. The process has characterized much of the history of science and is prominent in contemporary physics; the search for a 'theory of everything' involves the same attempt at unification. Margaret Morrison argues that, contrary to popular philosophical views, unification and explanation often have little to do with each other. The mechanisms that facilitate unification are not those that enable us to explain how or why phenomena behave as they do. A feature of this book is an account of many case studies of theory unification in nineteenth- and twentieth-century physics and of how evolution by natural selection and Mendelian genetics were unified into what we now term evolutionary genetics.

New Space Opera is a recent subgenre within science fiction that displays a canny engagement with contemporary cultural politics in the age of globalization. This book offers close readings of the evo

This book discusses a development in institutional economics and management science, which provides engineering methods for institution design. Based on the “Sun Diagram” created by the author, it use

o Computer Automation in Manufacturing provide instruction in computer architecture, interfacing to mechanical systems, and software development for continuous control and discrete event systems. T

The three volumes of this series of books, of which this is the second, put forward the mathematical elements that make up the foundations of a number of contemporary scientific methods: modern theory

This practical guide to successful Brain-Computer Interface (BCI) experiments, uses the general-purpose software platform BCI2000. It provides comprehensive introductory and intermediate concepts of a

This book blends traditional teaching approaches with the use of mathematics, together with the use of a hardware description language and a concrete processor as vehicles for "hands-on" modelling and

This book blends traditional teaching approaches with the use of mathematics, together with the use of a hardware description language and a concrete processor as vehicles for "hands-on" modelling an

Looking at the science behind exploring, designing, and building structures, Building Structures with Young Children guides children’s explorations to help deepen their understanding of the physical s

Cellulose as an abundant renewable material has stimulated basic and applied research that has resulted in significant progress in polymer science. This book discusses reliable crystal structures of a

This book analyses the current knowledge on structural behaviour of RC elements and structures strengthened with composite materials (experimental, analytical and numerical approaches for EBR and NSM)

Welcome Future Coder! Are You Ready To Learn And Start Programming With Any Language In 2 Hours? Learning to write computer programs can be fun if you take up the right approach and this shall be the

This book provides a comprehensive overview of flow-based, microfluidic VLSI. The authors describe and solve in a comprehensive and holistic manner practical challenges such as control synthesis, wash

This book is for non-believers of all ages. It was written especially for children who have been convinced by the attitudes of adults that mathematics is (1) impossible (2) only for bright kids (3) no