Mathematics of Discrete Structures for Computer Science

This book develops the theory of partitions. Simply put, the partitions of a number are the ways of writing that number as sums of positive integers. For example, the five partitions of 4 are 4, 3+1, 2+2, 2+1+1, and 1+1+1+1. Surprisingly, such a simple matter requires some deep mathematics for its study. This book considers the many theoretical aspects of this subject, which have in turn recently found applications to statistical mechanics, computer science and other branches of mathematics. With minimal prerequisites, this book is suitable for students as well as researchers in combinatorics, analysis, and number theory.

An approachable and motivational guide for professionals looking to improve their communication and networking skills.In a world where human interactions and behaviour are more pivotal than ever to business success, Working With Influence sets out ten easy-to-apply principles, based on robust behavioural science, for influencing people and outcomes in both physical and digital workplace scenarios. It provides ambitious early to mid-career professionals with a set of actionable principles which will help them kick-start, accelerate or transform their careers.Technology is taking over the most basic jobs and is becoming the primary medium through which we interact with colleagues and clients, so it is crucial for us to understand how to influence others and stand out in this new digital landscape. Further, with the hugely competitive and unpredictable nature of the job market and the unstable economy, early career professionals understand that they will need to improve their qualitative

This in-depth textbook with a focus on atom-light interactions prepares students for research in a fast-growing and dynamic field. Intended to accompany the laser-induced revolution in atomic physics, it is a comprehensive text for the emerging era in atomic, molecular and optical science. Utilising an intuitive and physical approach, the text describes two-level atom transitions, including appendices on Ramsey spectroscopy, adiabatic rapid passage and entanglement. With a unique focus on optical interactions, the authors present multi-level atomic transitions with dipole selection rules, and M1/E2 and multiphoton transitions. Conventional structure topics are discussed in some detail, beginning with the hydrogen atom and these are interspersed with material rarely found in textbooks such as intuitive descriptions of quantum defects. The final chapters examine modern applications and include many references to current research literature. The numerous exercises and multiple appendices

Together for the first time in one volumeall four novels in the dark science fiction epic, the Morgaine Cycle.The gates were relics of a lost era, a linked network of portals that the ruthless Qual em

Basics of Holography is a general introduction to the subject written by a leading worker in the field. It begins with the theory of holographic imaging, the characteristics of the reconstructed image, and the various types of holograms. Practical aspects of holography are then described, including light sources, the characteristics of recording media and recording materials, as well as methods for producing different types of holograms and computer-generated holograms. Finally, important applications of holography are discussed, such as high-resolution imaging, holographic optical elements, information processing, and holographic interferometry. The book includes comprehensive reference sections and appendices summarizing some useful mathematical results. Numerical problems with their solutions are provided at the ends of chapters. This is an invaluable resource for advanced undergraduate and graduate students as well as researchers in science and engineering who would like to learn m

Basics of Holography is a general introduction to the subject written by a leading worker in the field. It begins with the theory of holographic imaging, the characteristics of the reconstructed image, and the various types of holograms. Practical aspects of holography are then described, including light sources, the characteristics of recording media and recording materials, as well as methods for producing different types of holograms and computer-generated holograms. Finally, important applications of holography are discussed, such as high-resolution imaging, holographic optical elements, information processing, and holographic interferometry. The book includes comprehensive reference sections and appendices summarizing some useful mathematical results. Numerical problems with their solutions are provided at the ends of chapters. This is an invaluable resource for advanced undergraduate and graduate students as well as researchers in science and engineering who would like to learn m

In 1770, one of the founders of pure mathematics, Swiss mathematician Leonard Euler (1707–1783), published Elements of Algebra, a mathematics textbook for students. This edition of Euler's classic, published in 1822, is an English translation which includes notes added by Euler's tutor, Johann Bernoulli, and additions by Joseph-Louis Lagrange, both giants in eighteenth-century mathematics, as well as a short biography of Euler. Part 1 begins with elementary mathematics of determinate quantities and includes four sections on simple calculations (adding, subtracting, division, multiplication), and then progresses to compound calculations (fractions), ratios and proportions and algebraic equations. Part 2 consists of 15 chapters on analyses of indeterminate quantities. Here, Euler shows the reader several ways to solve polynomial equations up to the fourth degree. This landmark book showed students the beauty of mathematics, and more significantly, how to do it.

This collection of twelve articles on engineering and computer science education and training showcases current scholarship on communications skill development for an increasingly globalized workforce

The early modern era produced the Scientific Revolution, which originated our present understanding of the natural world. Concurrently, philosophers established the conceptual foundations of modernity. This rich and comprehensive volume surveys and illuminates the numerous and complicated interconnections between philosophical and scientific thought as both were radically transformed from the late sixteenth to the mid-eighteenth century. The chapters explore reciprocal influences between philosophy and physics, astronomy, mathematics, medicine, and other disciplines, and show how thinkers responded to an immense range of intellectual, material, and institutional influences. The volume offers a unique perspicuity, viewing the entire landscape of early modern philosophy and science, and also marks an epoch in contemporary scholarship, surveying recent contributions and suggesting future investigations for the next generation of scholars and students.

John Playfair (1748–1819) was a Scottish mathematician and geologist best known for his defence of James Hutton's geological theories. He attended the University of St Andrews, completing his theological studies in 1770. In 1785 he was appointed joint Professor of Mathematics at the University of Edinburgh, and in 1805 he was elected Professor of Natural Philosophy. This highly influential book, first published in 1802, contains Playfair's clarification and summary of Hutton's geological concepts. Playfair concisely explains Hutton's theories on erosion and geothermal heat in rock formation and the concept of uniformitarianism in geology, illustrating these theories with his own precise observations on different types of rock strata. The clarity of Playfair's explanations was instrumental in popularising Hutton's geological theories, many of which are now recognised as key principles of modern geology. Playfair's strident defence of Hutton's ideas formed part of a controversial debate

The geometry of surfaces is an ideal starting point for learning geometry, for, among other reasons, the theory of surfaces of constant curvature has maximal connectivity with the rest of mathematics.

In this volume, concepts, technologies and developments in the field of building-component manufacturing - based on concrete, brick, wood and steel as building materials and on large-scale prefabrication, delivering complex, customized components and products - are introduced and discussed. Robotic industrialization refers to the transformation of parts and low-level components into higher-level components, modules and finally building systems by highly mechanized, automated, or robot-supported industrial settings in structured off-site environments. Components and modules are open building systems (in modular building product structures) that are delivered by suppliers to original equipment manufacturers such as, for example, large-scale prefabrication companies or automated/robotic on-site factories. In particular, innovative large-scale prefabrication companies have altered the building structures, manufacturing processes, and organizational structures significantly to be able to as

Defining lies as statements that are intended to deceive, this book considers the contexts in which people tell lies, how they are detected and sometimes exposed, and the consequences for the liars themselves, their dupes, and the wider society. The author provides examples from a number of cultures with distinctive religious and ethical traditions, and delineates domains where lying is the norm, domains that are ambiguous and the one domain (science) that requires truthtelling. He refers to experimental studies on children that show how, at an early age, they acquire the capactiy to lie and learn when it is appropriate to do so. He reviews how lying has been evaluated by moralists, examines why we do not regard novels as lies and relates the human capacity to lie to deceit among other animal species. He concludes that although there are, in all societies, good pragmatic reasons for not lying all the time, there are also strong reasons for lying some of the time.

This monograph presents the first comprehensive and detailed explanation for the planetary rings of Saturn, Uranus, Jupiter, and Neptune, exploring their striking, recently discovered structures such

The first part discusses the origins of everything, from the Big Bang to humankind. It follows the long course of evolution - from original matter to the formation of more complex structures, from the

Some of our earliest experiences of the conclusive force of an argument come from school mathematics: faced with a mathematical proof, we cannot deny the conclusion once the premises have been accepted. Behind such arguments lies a more general pattern of 'demonstrative arguments' that is studied in the science of logic. Logical reasoning is applied at all levels, from everyday life to advanced sciences, and a remarkable level of complexity is achieved in everyday logical reasoning, even if the principles behind it remain intuitive. Jan von Plato provides an accessible but rigorous introduction to an important aspect of contemporary logic: its deductive machinery. He shows that when the forms of logical reasoning are analysed, it turns out that a limited set of first principles can represent any logical argument. His book will be valuable for students of logic, mathematics and computer science.

Some of our earliest experiences of the conclusive force of an argument come from school mathematics: faced with a mathematical proof, we cannot deny the conclusion once the premises have been accepted. Behind such arguments lies a more general pattern of 'demonstrative arguments' that is studied in the science of logic. Logical reasoning is applied at all levels, from everyday life to advanced sciences, and a remarkable level of complexity is achieved in everyday logical reasoning, even if the principles behind it remain intuitive. Jan von Plato provides an accessible but rigorous introduction to an important aspect of contemporary logic: its deductive machinery. He shows that when the forms of logical reasoning are analysed, it turns out that a limited set of first principles can represent any logical argument. His book will be valuable for students of logic, mathematics and computer science.

In this 1990 book John Limon examines the various ways American authors have approached the writing of fiction (and justified that writing) in an age increasingly dominated by science. He focuses in particular on Charles Brockden Brown, Edgar Allen Poe and Nathaniel Hawthorne - three highly articulate and highly alarmed witnesses to the professionalisation of science, the great crisis in modern intellectual history. It was, he argues, especially specially difficult for American writers to face this crisis since they could make no appeal to traditional values: America, after all, had never really been a pre-scientific society.

In this 1990 book John Limon examines the various ways American authors have approached the writing of fiction (and justified that writing) in an age increasingly dominated by science. He focuses in particular on Charles Brockden Brown, Edgar Allen Poe and Nathaniel Hawthorne - three highly articulate and highly alarmed witnesses to the professionalisation of science, the great crisis in modern intellectual history. It was, he argues, especially specially difficult for American writers to face this crisis since they could make no appeal to traditional values: America, after all, had never really been a pre-scientific society.

Matrices are used in many fields such as statistics, econometrics, mathematics, natural sciences and engineering. They provide a concise, simple method for describing long and complicated computations

Gareth Stevens Vital Science books are designed to help prepare students for NCLB science testing by reinforcing key concepts across the science curriculum. The eight volumes in Physical Science use

This algorithms text from Neapolitan focuses on algorithms design and complexity analysis, assumes a background of college algebra and data structures but no calculus, and is suggested for a one-semes

Gareth Stevens Vital Science books are designed to help prepare students for NCLB science testing by reinforcing key concepts across the science curriculum. The six volumes in Earth Science use clear

A guide to the validation and risk management of quantitative models used for pricing and hedgingWhereas the majority of quantitative finance books focus on mathematics and risk management books focus

"During the 1970s, the EU member states made fledgling attempts to coordinate their foreign policies in the form of intergovernmental structures called European Political Cooperation. These initial ef

The Times Children’s Book of the Week (March 2026)Step into the wonders of the natural world with Shapes of Nature - a big, beautiful book bursting with colour, detail, and variety!Perfect for curious minds ages 9+, this spectacular large-format nature book is designed to inspire a new generation of nature lovers. Inside, you’ll discover shimmering beetles and dazzling tree frogs, knobbly seashells and sparkling crystals, plus fabulous fungi and delicate feathers - all arranged in stunning mosaics. Each page transforms nature’s treasures into works of art, revealing the hidden shapes and intricate details that we often overlook.Get inspired by nature’s creativity with:Countless fascinating facts about nature, written by best-selling author Ben Hoare. Stunning large-format pages showcasing vibrant, full-colour photography of natural objects. Engaging text that combines science with storytelling to captivate young readers.A treasured gift for nature lovers and a beautiful addition to any

First published in 1959, this second edition of a 1952 original forms part of the Cambridge Aeronautical Series. The text provides a detailed discussion regarding control and stability in aircraft, encompassing the broader subject of aircraft dynamics. Information on newer discoveries related to the effects of compressibility of air and the deformation of aircraft structures is included. A table of American and British terms and symbols is also incorporated. This book will be of value to anyone with an interest in aeronautics, aerodynamics and the history of science.

This sixth edition textbook is intended as an introductory course for undergraduate non-science students. For this latest edition, Garrison (marine science, Orange Coast College) has modified all chap

Ainslie argues that our responses to the threat of our own inconsistency determine the basic fabric of human culture. He suggests that individuals are more like populations of bargaining agents than like the hierarchical command structures envisaged by cognitive psychologists. The forces that create and constrain these populations help us understand so much that is puzzling in human action and interaction: from addictions and other self-defeating behaviors to the experience of willfulness, from pathological over-control and self-deception to subtler forms of behavior such as altruism, sadism, gambling, and the 'social construction' of belief. This book integrates approaches from experimental psychology, philosophy of mind, microeconomics, and decision science to present one of the most profound and expert accounts of human irrationality available. It will be of great interest to philosophers and an important resource for professionals and students in psychology, economics and political

Ainslie argues that our responses to the threat of our own inconsistency determine the basic fabric of human culture. He suggests that individuals are more like populations of bargaining agents than like the hierarchical command structures envisaged by cognitive psychologists. The forces that create and constrain these populations help us understand so much that is puzzling in human action and interaction: from addictions and other self-defeating behaviors to the experience of willfulness, from pathological over-control and self-deception to subtler forms of behavior such as altruism, sadism, gambling, and the 'social construction' of belief. This book integrates approaches from experimental psychology, philosophy of mind, microeconomics, and decision science to present one of the most profound and expert accounts of human irrationality available. It will be of great interest to philosophers and an important resource for professionals and students in psychology, economics and political

Construction comes alive with hands-on activities for kids ages 5 to 10Kids love construction! From bridges to buildings, this book is filled with incredible things that young engineers can design and build themselves. They'll learn how structures are built, what goes on at construction sites, and the ways simple materials like rocks and dirt helped create our modern world. This book keeps kids on track with step-by-step instructions for building paper cup towers, railroads, and more. They'll find out about the infrastructure that makes up our neighborhoods while also discovering how science, technology, engineering, art, and math all play important parts in construction.Go beyond other construction books for kids with: 25 inspiring activities--Introduce kids to real construction with projects they can build at home using easy-to-find materials and an adult assistant.Kid-friendly explanations--Expand the learning with simple explanations of how activities connect to STEAM concepts, as

This second volume includes research contributions on the use of dynamical systems and stochastic models in disease dynamics. Graduate students in applied mathematics, scientists in the natural, soci

Business data integration is a complex problem that must be solved when organizations change or enhance their internal structures. The goal of this book is to present a simple yet thorough resource th

Boolean functions are perhaps the most basic objects of study in theoretical computer science. They also arise in other areas of mathematics, including combinatorics, statistical physics, and mathematical social choice. The field of analysis of Boolean functions seeks to understand them via their Fourier transform and other analytic methods. This text gives a thorough overview of the field, beginning with the most basic definitions and proceeding to advanced topics such as hypercontractivity and isoperimetry. Each chapter includes a 'highlight application' such as Arrow's theorem from economics, the Goldreich–Levin algorithm from cryptography/learning theory, Håstad's NP-hardness of approximation results, and 'sharp threshold' theorems for random graph properties. The book includes roughly 450 exercises and can be used as the basis of a one-semester graduate course. It should appeal to advanced undergraduates, graduate students and researchers in computer science theory and related mat

Richard Brodie dropped out of Harvard to join the computer revolution and write the first version of Microsoft Word. Then, burned-out helping Microsoft achieve its phenomenal success, he quit and emb

This is a textbook for a survey course in physics taught without mathematics, that also takes into account the social impact and influences from the arts and society. It combines physics, literature,

This is a textbook for a survey course in physics taught without mathematics, that also takes into account the social impact and influences from the arts and society. It combines physics, literature,

The unique feature of this compact student's introduction is that it presents concepts in an order that closely follows a standard mathematics curriculum, rather than structure the book along features

Tanaka-Ishii presents a semiotic analysis of computer programs along three axes: models of signs, kinds of signs, and systems of signs. Because computer programs are well defined and rigid, applying semiotic theories to them will help to reorganise the semiotic theories themselves. Semiotic discussion of programming theory can provide possible explanations for why programming has developed as it has and how computation is fundamentally related to human semiosis. This book considers the question of what computers can and cannot do, by analysing how computer sign systems compare to those of humans. A key concept throughout is reflexivity – the capability of a system or function to reinterpret what it has produced by itself. Sign systems are reflexive by nature, and humans know how to take advantage of this characteristic but have not yet fully implemented it into computer systems. The limitations, therefore, of current computers can be ascribed to insufficient reflexivity.

Tanaka-Ishii presents a semiotic analysis of computer programs along three axes: models of signs, kinds of signs, and systems of signs. Because computer programs are well defined and rigid, applying semiotic theories to them will help to reorganise the semiotic theories themselves. Semiotic discussion of programming theory can provide possible explanations for why programming has developed as it has and how computation is fundamentally related to human semiosis. This book considers the question of what computers can and cannot do, by analysing how computer sign systems compare to those of humans. A key concept throughout is reflexivity – the capability of a system or function to reinterpret what it has produced by itself. Sign systems are reflexive by nature, and humans know how to take advantage of this characteristic but have not yet fully implemented it into computer systems. The limitations, therefore, of current computers can be ascribed to insufficient reflexivity.