Mathematics of Discrete Structures for Computer Science

The Greco-Roman mathematician Claudius Ptolemy is one of the most significant figures in the history of science. He is remembered today for his astronomy, but his philosophy is almost entirely lost to

The goal of this book is to demystify Computer Algebra Systems for a wide audience including students, faculty, and professionals in scientific fields such as computer science, mathematics, engineerin

The metal–ligand coordination of metallomacrocycles allows for the production of both discrete and infinite metallosupramolecular structures with high-degrees of complexity. In recent years, coordinat

Access to high-quality computer science instruction has grown by leaps and bounds in recent years. Thanks to this movement, more students start middle school with some foundational knowledge of comput

This self-contained book introduces readers to discrete harmonic analysis with an emphasis on the Discrete Fourier Transform and the Fast Fourier Transform on finite groups and finite fields, as well as their noncommutative versions. It also features applications to number theory, graph theory, and representation theory of finite groups. Beginning with elementary material on algebra and number theory, the book then delves into advanced topics from the frontiers of current research, including spectral analysis of the DFT, spectral graph theory and expanders, representation theory of finite groups and multiplicity-free triples, Tao's uncertainty principle for cyclic groups, harmonic analysis on GL(2,Fq), and applications of the Heisenberg group to DFT and FFT. With numerous examples, figures, and over 160 exercises to aid understanding, this book will be a valuable reference for graduate students and researchers in mathematics, engineering, and computer science.

This book constitutes the refereed proceedings of the 12th IFIP WG 5.11 International Symposium on Environmental Software Systems, ISESS 2017, held in Zadar, Croatia, in May 2017. The 35 revised

Mathematics is the science of numbers, space, change and structures. Modern theories and methods of mathematics are applied in fields such as engineering, computer science, etc. Applied mathematics fi

Written for computer programming students, hobbyists, and professionals, FUNDAMENTALS OF PYTHON: DATA STRUCTURES is an introduction to object-oriented design and data structures using the popular Pyth

"This book proves that virtually very much chemical compounds have the structure of a higher dimension. It gives an impulse for the analysis of the interaction of molecules specific substances as obje

Perfect for back-to-school, summer bridge and after school activity Part of a series where each book stresses an area of STEM (Science, Technology, Engineering and Mathematics) There are no other acti

The undergraduate textbook for a one-semester course explains the anatomical processes of the human speech system, the anatomical structures used to produce consonants and vowels in American Englis

If you’re a student studying computer science or a software developer preparing for technical interviews, this practical book will help you learn and review some of the most important ideas in s

Tetsu Natsume of Sony Computer Science Labs (Sony CSL) has been pioneering technology promotion for a decade. As he seeks marketplace opportunities for ground-breaking research, he plays the role of a

Singularity theory is an area of mathematics at the crossroads of algebraic geometry, topology, and differential equations.Initiated by Thom, Arnol'd and others in the 1970s, it quickly developed into

Biostatistics and Computer-based Analysis of Health Data Using SAS is primarily intended for health researchers who have basic knowledge in statistical methodology. It mainly focuses on the use of SAS

The area of coalgebra has emerged within theoretical computer science with a unifying claim: to be the mathematics of computational dynamics. It combines ideas from the theory of dynamical systems and from the theory of state-based computation. Although still in its infancy, it is an active area of research that generates wide interest. Written by one of the founders of the field, this book acts as the first mature and accessible introduction to coalgebra. It provides clear mathematical explanations, with many examples and exercises involving deterministic and non-deterministic automata, transition systems, streams, Markov chains and weighted automata. The theory is expressed in the language of category theory, which provides the right abstraction to make the similarity and duality between algebra and coalgebra explicit, and which the reader is introduced to in a hands-on manner. The book will be useful to mathematicians and (theoretical) computer scientists and will also be of interes

Cultivate an interest in science, technology, engineering and math with the STEM Labs for Life Science for grades 6-8. These 26 labs cover a variety of topics such as life structures, ecosystems, huma

Mathematics is not, and never will be, an empirical science, but mathematicians are finding that the use of computers and specialized software allows the generation of mathematical insight in the form of conjectures and examples, which pave the way for theorems and their proofs. In this way, the experimental approach to pure mathematics is revolutionizing the way research mathematicians work. As the first of its kind, this book provides material for a one-semester course in experimental mathematics that will give students the tools and training needed to systematically investigate and develop mathematical theory using computer programs written in Maple. Accessible to readers without prior programming experience, and using examples of concrete mathematical problems to illustrate a wide range of techniques, the book gives a thorough introduction to the field of experimental mathematics, which will prepare students for the challenge posed by open mathematical problems.

Data structures are the fundamental building blocks of any computer program, used for storing, representing and manipulating data in a computer. This text presents the basic concepts of data structures as part of the art of writing computer programs. The author concentrates on the fundamentals of what should be done to solve a problem efficiently rather than technical implementation details. The text includes pseudocode and covers all the most common data structures, such as queues, stacks, trees, heaps, and hash tables, along with the basics of searching, sorting, and coding. This book can supplement any undergraduate algorithms or discrete math course and will also be accessible to students and researchers in other quantitative disciplines. No prerequisites beyond introductory programming and basic mathematics are required, and the accessible, conceptual presentation will appeal to undergraduates in many quantitative fields. Carefully designed problem sets with selected solutions wil

Data structures are the fundamental building blocks of any computer program, used for storing, representing and manipulating data in a computer. This text presents the basic concepts of data structures as part of the art of writing computer programs. The author concentrates on the fundamentals of what should be done to solve a problem efficiently rather than technical implementation details. The text includes pseudocode and covers all the most common data structures, such as queues, stacks, trees, heaps, and hash tables, along with the basics of searching, sorting, and coding. This book can supplement any undergraduate algorithms or discrete math course and will also be accessible to students and researchers in other quantitative disciplines. No prerequisites beyond introductory programming and basic mathematics are required, and the accessible, conceptual presentation will appeal to undergraduates in many quantitative fields. Carefully designed problem sets with selected solutions wil

"This book is an essential publication outlining the future research opportunities and emerging technologies in the field of image processing, and the ways multi-core processing can further the field"

This book provides a comprehensive account of knowledge of the natural world in Europe, c.1500–1700. Often referred to as the Scientific Revolution, this period saw major transformations in fields as diverse as anatomy and astronomy, natural history and mathematics. Articles by leading specialists describe in clear, accessible prose supplemented by extensive bibliographies, how new ideas, discoveries, and institutions shaped the ways in which nature came to be studied, understood, and used. Part I frames the study of 'The New Nature' in the sixteenth and seventeenth centuries. Part II surveys the 'Personae and Sites of Natural Knowledge'. Part III treats the study of nature by discipline, following the classification of the sciences current in early modern Europe. Part IV takes up the implications of the new natural knowledge for religion, literature, art, gender, and European identity.

This textbook provides in-depth coverage of the fundamentals of the C and C++ programming languages and the object-oriented programming paradigm. It follows an example-driven approach to facilitate understanding of theoretical concepts. Essential concepts, including functions, arrays, pointers and inheritance, are explained, while complex topics, such as dynamic memory allocation, object slicing, vtables, and upcasting and downcasting, are examined in detail. Concepts are explained with the help of line diagrams, student-teacher conversations and flow charts, while other useful features, such as quiz questions and points to remember, are included. Solved examples, review questions and useful case studies are interspersed throughout the text, and explanations of the logic used to implement particular functionality is also provided. This book will be useful for undergraduate students of computer science and engineering, and information technology.

Biostatistics and Computer-Based Analysis of Health Data Using Stata is primarily intended for health researchers who have basic knowledge of statistical methodology and relies on the use of Stata to

Originally published in 1940, this book was aimed at students of science who had not previously been acquainted with algebra and the core mathematical principles. 'It is quite wrong that science students, particularly biology students, should go to their universities without having been made aware of even the existence of a side of mathematics whose importance is becoming more and more apparent'. The book caters for students who wish to develop their mathematical and reasoning skills, necessary to progress in the sciences. Chapters are broad in scope, detailed and varied; chapter titles include, 'The theory of quadratic equations', 'Probability' and 'Statistics'. A multitude of examples are included throughout to reinforce learning and answers can be found at the back. Providing an overview of algebra for school students before entering undergraduate science, this book will be of significant value to anyone with an interest in mathematics and the history of education.

Originally published in 1936, this textbook was primarily designed for students of applied mathematics to provide a solid foundation for studies on the practical side of the subject. The book, whilst carefully keeping the groundwork of pure mathematics, covering key elementary aspects of the subject, such as quadratic equations, in the main explores the 'generally understood technical allusions, illustrations, and graded applications'. The book provides multiple useful and challenging exercises and is shaped and established around the syllabus at the time of publication. Chapters are broad in scope, detailed and clearly written; chapter titles include, 'Curved graphs', 'Trigonometry ratios and exercises' and 'Loci'. Aiming to achieve a 'logical sequence of leading theorems, clear deductions and concise, practical applications', this textbook will be of great value to students of engineering mathematics as well as to anyone with an interest in physics, materials science and the history

Originally published in 1939, this book forms the first part of a two-volume series on the mathematics required for the examinations of the Institute of Actuaries, focusing on elementary differential and integral calculus. Miscellaneous examples are included at the end of the text. This book will be of value to anyone with an interest in actuarial science and mathematics.

Most existing textbooks on this subject were written either for mathematics or engineering students and do not address the unique situation of computer science students, who have some background in di

This book constitutes revised and extended versions of the best papers from the 10th Conference on Information Systems Management (ISM 2015) and 13th Conference on Advanced Information Technologies fo

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.

Frontiers in Computational Chemistry, originally published by Bentham and now distributed by Elsevier, presents the latest research findings and methods in the diverse field of computational chemistry

Frontiers in Computational Chemistry, originally published by Bentham and now distributed by Elsevier, presents the latest research findings and methods in the diverse field of computational chemistry

Finite Mathematics, Eleventh Edition by Lial, Greenwell, and Ritchey, is our most applied text to date, making the math relevant and accessible for students of business, life science, and social scien

This Science Test workbook will include:Review of the GEDR Science test question types and basic computer skillsPractice questions assessing vocabulary as well as physical, life, earth, and space scie

Finite Mathematics, Eleventh Edition by Lial, Greenwell, and Ritchey, is our most applied text to date, making the math relevant and accessible for students of business, life science, and social scien

This is my 3rd collection of 50 STEM (Science, Technology, Engineering, & Mathematics) science experiments for kids. Recommended for grades 3 and up. Each one has a snappy title, a brief descr

Although many archaeologists have a good understanding of the basics in computer science, statistics, geostatistics, modeling, and data mining, more literature is needed about the advanced analysis in

Focusing on deterministic models in discrete time, this concise yet rigorous textbook provides a clear and systematic introduction to the theory and application of dynamic economic models. It guides students through the most popular model structures and solution concepts, from the simplest dynamic economic models through to complex problems of optimal policy design in dynamic general equilibrium frameworks. Chapters feature theorems and practical hints, and seventy-five worked examples highlight the various methods and results that can be applied in dynamic economic models. Notation and formulation is uniform throughout, so students can easily discern the similarities and differences between various model classes. Chapters include more than sixty exercises for students to self-test their analytical skills, and password-protected solutions are available for instructors on the companion website. Assuming no prior knowledge of dynamic economic analysis or dynamic optimization, this textbo

In a surprising sequence of developments, the longest increasing subsequence problem, originally mentioned as merely a curious example in a 1961 paper, has proven to have deep connections to many seemingly unrelated branches of mathematics, such as random permutations, random matrices, Young tableaux, and the corner growth model. The detailed and playful study of these connections makes this book suitable as a starting point for a wider exploration of elegant mathematical ideas that are of interest to every mathematician and to many computer scientists, physicists and statisticians. The specific topics covered are the Vershik-Kerov–Logan-Shepp limit shape theorem, the Baik–Deift–Johansson theorem, the Tracy–Widom distribution, and the corner growth process. This exciting body of work, encompassing important advances in probability and combinatorics over the last forty years, is made accessible to a general graduate-level audience for the first time in a highly polished presentation.

In a surprising sequence of developments, the longest increasing subsequence problem, originally mentioned as merely a curious example in a 1961 paper, has proven to have deep connections to many seemingly unrelated branches of mathematics, such as random permutations, random matrices, Young tableaux, and the corner growth model. The detailed and playful study of these connections makes this book suitable as a starting point for a wider exploration of elegant mathematical ideas that are of interest to every mathematician and to many computer scientists, physicists and statisticians. The specific topics covered are the Vershik-Kerov–Logan-Shepp limit shape theorem, the Baik–Deift–Johansson theorem, the Tracy–Widom distribution, and the corner growth process. This exciting body of work, encompassing important advances in probability and combinatorics over the last forty years, is made accessible to a general graduate-level audience for the first time in a highly polished presentation.