Mathematics of Discrete Structures for Computer Science

Mathematics is the essential language of science. It enables us to describe abstract physical concepts, and to apply these concepts in practical ways. Yet mathematical skills and concepts are an aspe

This collection introduces higher order neural network (HONN) group models and adaptive HONNs for simulating nonlinear data. The computer science chapters describe adaptive tolerance trees for transla

Shows that the addition of planes gives the polyhedra, the subtraction of planes gives saddles, the multiplication of planes gives the general saddle equations and the multispirals, and that the equat

In the past two decades, breakthroughs in computer technology have made a tremendous impact on optimization. In particular, availability of parallel computers has created substantial interest in explo

The warp-faced weaves of the Andes are the most complex in the world. While existing studies of Andean textiles use a technical language derived from other textile traditions (mainly tapestry from Eur

What should we do, or leave undone, in a day or a lifetime? How much messiness should we accept? What balance of the new and familiar is the most fulfilling? These may seem like uniquely human quandar

Bioinformatics and Computer Science provides a completely fresh exploration of bioinformatics, which investigates the interrelationship between bioinformatics, biology and computer science and explore

Bioinformatics and Computer Science provides a completely fresh exploration of bioinformatics, which investigates the interrelationship between bioinformatics, biology and computer science and explore

A fascinating exploration of how computer algorithms can be applied to our everyday lives, helping to solve common decision-making problems and illuminate the workings of the human mindAll our lives a

Wiley Encyclopedia of Computer Science and Engineering, 5-volume set, includes over 450 A to Z articles addressing the latest advances and findings in computer science and engineering, in addition to

This book explains in simple settings the fundamental ideas of financial market modelling and derivative pricing, using the no-arbitrage principle. Relatively elementary mathematics leads to powerful notions and techniques - such as viability, completeness, self-financing and replicating strategies, arbitrage and equivalent martingale measures - which are directly applicable in practice. The general methods are applied in detail to pricing and hedging European and American options within the Cox–Ross–Rubinstein (CRR) binomial tree model. A simple approach to discrete interest rate models is included, which, though elementary, has some novel features. All proofs are written in a user-friendly manner, with each step carefully explained and following a natural flow of thought. In this way the student learns how to tackle new problems.

This book explains in simple settings the fundamental ideas of financial market modelling and derivative pricing, using the no-arbitrage principle. Relatively elementary mathematics leads to powerful notions and techniques - such as viability, completeness, self-financing and replicating strategies, arbitrage and equivalent martingale measures - which are directly applicable in practice. The general methods are applied in detail to pricing and hedging European and American options within the Cox–Ross–Rubinstein (CRR) binomial tree model. A simple approach to discrete interest rate models is included, which, though elementary, has some novel features. All proofs are written in a user-friendly manner, with each step carefully explained and following a natural flow of thought. In this way the student learns how to tackle new problems.

This book intends to lead its readers to some of the current topics of research in the geometry of polyhedral surfaces with applications to computer graphics. The main feature of the book is a systema

"Discrete Probability" is an introductory textbook for a first course in probability theory. The book comprises a collection of 405 problems with answers at the end of the book. Half page long biograp

You’re a computing or information student with a huge mountain to climb – that final-year research project. Don’t worry, because with this book guardian angels are at hand, in the form of four brillia

This book offers comprehensive coverage of all the mathematical tools needed by engineers in the field of processing and transport of all forms of information, data and images - as well as many other

This text is concerned with those aspects of mathematics that are necessary for first-degree students of chemistry. It is written from the point of view that an element of mathematical rigour is essen

Advanced undergraduate or beginning graduate students need a unified foundation for their study of geometry, analysis, and algebra. This book, first published in 2003, uses categorical algebra to build such a foundation, starting from intuitive descriptions of mathematically and physically common phenomena and advancing to a precise specification of the nature of Categories of Sets. Set theory as the algebra of mappings is introduced and developed as a unifying basis for advanced mathematical subjects such as algebra, geometry, analysis, and combinatorics. The formal study evolves from general axioms which express universal properties of sums, products, mapping sets, and natural number recursion. The distinctive features of Cantorian abstract sets, as contrasted with the variable and cohesive sets of geometry and analysis, are made explicit and taken as special axioms. Functor categories are introduced in order to model the variable sets used in geometry, and to illustrate the failure

Advanced undergraduate or beginning graduate students need a unified foundation for their study of geometry, analysis, and algebra. This book, first published in 2003, uses categorical algebra to build such a foundation, starting from intuitive descriptions of mathematically and physically common phenomena and advancing to a precise specification of the nature of Categories of Sets. Set theory as the algebra of mappings is introduced and developed as a unifying basis for advanced mathematical subjects such as algebra, geometry, analysis, and combinatorics. The formal study evolves from general axioms which express universal properties of sums, products, mapping sets, and natural number recursion. The distinctive features of Cantorian abstract sets, as contrasted with the variable and cohesive sets of geometry and analysis, are made explicit and taken as special axioms. Functor categories are introduced in order to model the variable sets used in geometry, and to illustrate the failure

Martin and Shaw present students, academics, researchers, and professionals working in a variety of contexts with a comprehensive overview of all of the mathematics needed for a general understanding

Focuses on two key components of microeconomics - optimization subject to constraints and the development of comparative statics. The book assumes familiarity with calculus of one variable and basic l

This program discusses the basics of medical mathematics. It begins with the international system of SI units, SI derived units, and non-SI units. It then details the nomenclature of metric prefixes a

This program discusses the basics of medical mathematics. It begins with the international system of SI units, SI derived units, and non-SI units. It then details the nomenclature of metric prefixes a

This book deals with a number of mathematical topics that are of great importance in the study of classical econometrics. There is a lengthy chapter on matrix algebra, which takes the reader from the