# MATHEMATICS

Linear Algebra with Applications by W. Keith Nicholson, traditionally published for many years is now being released as an open educational resource. Overall, the aim of the book is to achieve a balance among computational skills, theory, and applications of linear algebra. It is a relatively advanced introduction to the ideas and techniques of ...

Applied Combinatorics is an open-source book for a course covering the fundamental enumeration techniques (permutations, combinations, subsets, pigeon hole principle), recursion and mathematical induction, more advanced enumeration techniques (inclusion-exclusion, generating functions, recurrence relations, Polyá theory), discrete structures (grap...

This book offers a comparative study of eight ambitious national reforms that sought to create opportunities for students to gain the necessary breath of skills to thrive in a rapidly changing world. It examines how national governments transform education systems to provide students opportunities to develop such skills. It analyses comprehensive e...

This book examines key aspects of international cooperation to enhance nuclear safety, security, safeguards, and nonproliferation, thereby assisting in development and maintenance of the verification regime and fostering progress toward a nuclear weapon-free world. Current challenges are discussed and attempts made to identify possible solutions an...

This book integrates the classic fields of mechanics - statics, dynamics, and strength of materials - using examples from biology and medicine. The book is excellent for teaching either undergraduates in biomedical engineering programs or health care professionals studying biomechanics at the graduate level. Extensively revised from a successful th...

This comprehensive textbook describes the synthesis, characterization and technical and engineering applications of polymers. Offering a broad and balanced introduction to the basic concepts of macromolecular chemistry and to the synthesis and physical chemistry of polymers, it is the ideal text for graduate students and advanced Masters students s...

This book deals with one the most interesting aspects of human life - the search for meaning. It discusses how the science of semiotics is equipped to provide insight on what meaning is and how we produce it. Why is it that certain people routinely put their survival at risk by smoking? Why is it that some women make locomotion difficult for themse...

This third edition laboratory manual was written to accompany Food Analysis, Fifth Edition, by the same author. New to this third edition of the laboratory manual are four introductory chapters that complement both the textbook chapters and the laboratory exercises. The 24 laboratory exercises in the manual cover 21 of the 35 chapters in the textbo...

This text finally collects all the introductory aspects of beer brewing science into one place for undergraduate brewing science courses. This expansive and detailed work is written in conversational style, walking students through all the brewing basics from the origin and history of beer to the brewing process to post-brew packaging and quality c...

This book offers a completely new approach to learning and teaching the fundamentals of analytical chemistry. It summarizes 250 basic concepts of the field on the basis of slides. Each of the nine chapters offers the following features: - Introduction: Summary. General scheme. Teaching objectives. - Text containing the explanation of each slide. - ...

This book introduces readers to robotics, industrial robot mechanisms, and types of robots, e.g. parallel robots, mobile robots and humanoid robots. The book is based on over 20 years of teaching robotics and has been extensively class tested and praised for its simplicity.It addresses the following subjects: a general introduction to robotics; bas...

This book offers a comprehensive and readable introduction to modern business and data analytics. It is based on the use of Excel, a tool that virtually all students and professionals have access to. The explanations are focused on understanding the techniques and their proper application, and are supplemented by a wealth of in-chapter and end-of-c...

In this book we learn that there is a clear but complex relationship between setting and character on screen. Certain settings stand out above others—think of the iconic gooey dripping tunnels that Ripley stumbles through in Aliens, Norman’s bird-decorated parlour in Psycho or the dark Gotham of certain Batman movies. But what makes these parti...

This volume provides practical solutions and introduces recent theoretical developments in risk management, pricing of credit derivatives, quantification of volatility and copula modeling. This third edition is devoted to modern risk analysis based on quantitative methods and textual analytics to meet the current challenges in banking and finance. ...

This book was written to serve as an introduction to logic, with in each chapter – if applicable – special emphasis on the interplay between logic and philosophy, mathematics, language and (theoretical) computer science. The reader will not only be provided with an introduction to classical logic, but to philosophical (modal, epistemic, deontic...

The revised 2nd edition of this book provides the reader with a solid foundation in probability theory and statistics as applied to the physical sciences, engineering and related fields. It covers a broad range of numerical and analytical methods that are essential for the correct analysis of scientific data, including probability theory, distribut...

Now in its sixth edition this successful undergraduate textbook gives a well-balanced and comprehensive introduction to the topics of classical and modern astronomy. While emphasizing both the astronomical concepts and the underlying physical principles, the text provides a sound basis for more profound studies in the astronomical sciences. The cha...

Algorithms are the lifeblood of computer science. They are the machines that proofs build and the music that programs play. Their history is as old as mathematics itself. This book is a wide-ranging, idiosyncratic treatise on the design and analysis of algorithms, covering several fundamental techniques, with an emphasis on intuition and the proble...

This book helps students to master the material of a standard US undergraduate first course in Linear Algebra. The material is standard in that the subjects covered are Gaussian reduction, vector spaces, linear maps, determinants, and eigenvalues and eigenvectors. Another standard is book's audience: sophomores or juniors, usually with a ba...

The LaTeX Notes for Professionals book is compiled from Stack Overflow Documentation, the content is written by the beautiful people at Stack Overflow....

SAT/SMT solvers can be viewed as solvers of huge systems of equations. The difference is that SMT solvers takes systems in arbitrary format, while SAT solvers are limited to boolean equations in CNF 1 form. A lot of real world problems can be represented as problems of solving system of equations....

This book shows us that the way to master complexity is through insight rather than precision. Precision can overwhelm us with information, whereas insight connects seemingly disparate pieces of information into a simple picture. Unlike computers, humans depend on insight. Based on the author's fifteen years of teaching at MIT, Cambridge Unive...

This is an introductory book on algorithmic graph theory. Theory and algorithms are illustrated using the Sage open source mathematics software....

The technology of mechanized program verification can play a supporting role in many kinds of research projects in computer science, and related tools for formal proof-checking are seeing increasing adoption in mathematics and engineering. This book provides an introduction to the Coq software for writing and checking mathematical proofs. It takes ...

How can we capture the unpredictable evolutionary and emergent properties of nature in software? How can understanding the mathematical principles behind our physical world help us to create digital worlds? This book focuses on a range of programming strategies and techniques behind computer simulations of natural systems, from elementary concepts ...

PicoLisp Works is a compilation of (almost) all available information about the technological gem PicoLisp - a programming language and environment that definitely deserves wider attention. Built on the unique characteristics of Lisp (almost no syntax, code is equivalent to data), PicoLisp combines powerful abstractions with simplicity and purit...

This open volume presents a novel computational framework for understanding how collections of excitable cells work. The key approach in the text is to model excitable tissue by representing the individual cells constituting the tissue. This is in stark contrast to the common approach where homogenization is used to develop models where the cells a...

Category Theory is one of the most abstract branches of mathematics. It is usually taught to graduate students after they have mastered several other branches of mathematics, like algebra, topology, and group theory. It might, therefore, come as a shock that the basic concepts of category theory can be explained in relatively simple terms to anybod...

LaTeX is a markup language for typesetting documents similar to how HTML is one for web sites. LaTeX is especially popular in academic writing due to its rich support for typesetting equations, cross-referencing figures and tables, and citations and bibliographies. It is an unofficial and free LaTeX book created for educational purposes. All the...

Statistics is quickly becoming the most important and multi-disciplinary field of mathematics. According to the American Statistical Association, statistician is one of the top ten fastest-growing occupations and statistics is one of the fastest-growing bachelor degrees. Statistical literacy is essential to our data driven society. Despite the ...

Bayesian methods for statistical analysis is a book on statistical methods for analysing a wide variety of data. The book consists of 12 chapters, starting with basic concepts and covering numerous topics, including Bayesian estimation, decision theory, prediction, hypothesis testing, hierarchical models, Markov chain Monte Carlo methods, finite po...

This open book compares and contrasts the results of international student assessments in ten countries. The OECD's Programme for International Student Assessment (PISA) released the results of its 2018 assessment in December 2019. This book reflects the debates that typically follow the release of these results and focuses on the causes of di...