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Books in Mathematics

The Mathematics collection presents a range of foundational and advanced research content across applied and discrete mathematics, including fields such as Computational Mathematics; Differential Equations; Linear Algebra; Modelling & Simulation; Numerical Analysis; Probability & Statistics.

BooksJournals

    • Advances in Computers

      • 1st Edition
      • Volume 67
      • May 23, 2006
      • Marvin Zelkowitz
      • English
      • Hardback
        9 7 8 0 1 2 0 1 2 1 6 7 0
      • Paperback
        9 7 8 0 1 2 4 1 5 6 7 1 5
      • eBook
        9 7 8 0 0 8 0 4 6 2 8 7 5
      This volume is number 67 in the series Advances in Computers that began back in 1960. This is the longest continuously published series of books that chronicles the evolution of the computer industry. Each year three volumes are produced presenting approximately 20 chapters that describe the latest technology in the use of computers today. Volume 67, subtitled "Web technology," presents 6 chapters that show the impact that the World Wide Web is having on our society today. The general theme running throughout the volume is the ubiquity of web services. Topics such as wireless access and its problems and reliability of web communications are emphasized. Key features: In-depth surveys and tutorials on software development approaches Well-known authors and researchers in the field Extensive bibliographies with most chapters All chapters focus on Internet and web technology issues Discussion of wireless communication and forensic issues, currently important research areas

    • Psychometrics

      • 1st Edition
      • Volume 26
      • November 8, 2006
      • English
      • Hardback
        9 7 8 0 4 4 4 5 2 1 0 3 3
      • eBook
        9 7 8 0 0 8 0 4 6 6 7 0 5
      The area of Psychometrics, a field encompassing the statistical methods used in Psychological and educational testing, has become a very important and active area of research, evident from the large body of literature that has been developed in the form of books, volumes and research papers.Mainstream statisticians also have found profound interest in the field because of its unique nature.This book presents a state of the art exposition of theoretical, methodological and applied issues in Psychometrics. This book represents a thorough cross section of internationally renowned thinkers who are inventing methods for dealing with recent challenging psychometric problems.Key Features/- Emphasis on the most recent developments in the field- Plenty of real, often complicated, data examples to demonstrate the applications of the statistical techniques- Information on available software

    • Mathematical Models of the Cell and Cell Associated Objects

      • 1st Edition
      • Volume 206
      • May 10, 2006
      • Viktor V. Ivanov + 1 more
      • English
      • Hardback
        9 7 8 0 4 4 4 5 2 7 1 4 1
      • Paperback
        9 7 8 0 4 4 4 5 5 0 7 4 3
      • eBook
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      This book gives the reader a survey of hundreds results in the field of the cell and cell associated objects modeling. Applications to modeling in the areas of AIDS, cancers and life longevity are investigated in this book.

    • Philosophy of Logic

      • 1st Edition
      • October 19, 2006
      • English
      • eBook
        9 7 8 0 0 8 0 4 6 6 6 3 7
      The papers presented in this volume examine topics of central interest in contemporary philosophy of logic. They include reflections on the nature of logic and its relevance for philosophy today, and explore in depth developments in informal logic and the relation of informal to symbolic logic, mathematical metatheory and the limiting metatheorems, modal logic, many-valued logic, relevance and paraconsistent logic, free logics, extensional v. intensional logics, the logic of fiction, epistemic logic, formal logical and semantic paradoxes, the concept of truth, the formal theory of entailment, objectual and substitutional interpretation of the quantifiers, infinity and domain constraints, the Löwenheim-Skolem theorem and Skolem paradox, vagueness, modal realism v. actualism, counterfactuals and the logic of causation, applications of logic and mathematics to the physical sciences, logically possible worlds and counterpart semantics, and the legacy of Hilbert’s program and logicism. The handbook is meant to be both a compendium of new work in symbolic logic and an authoritative resource for students and researchers, a book to be consulted for specific information about recent developments in logic and to be read with pleasure for its technical acumen and philosophical insights.

    • Introduction to Probability Models

      • 9th Edition
      • November 21, 2006
      • Sheldon M. Ross
      • English
      • eBook
        9 7 8 0 0 8 0 4 6 7 8 2 5
      Introduction to Probability Models, Ninth Edition, is the primary text for a first undergraduate course in applied probability. This updated edition of Ross's classic bestseller provides an introduction to elementary probability theory and stochastic processes, and shows how probability theory can be applied to the study of phenomena in fields such as engineering, computer science, management science, the physical and social sciences, and operations research. With the addition of several new sections relating to actuaries, this text is highly recommended by the Society of Actuaries. This book now contains a new section on compound random variables that can be used to establish a recursive formula for computing probability mass functions for a variety of common compounding distributions; a new section on hiddden Markov chains, including the forward and backward approaches for computing the joint probability mass function of the signals, as well as the Viterbi algorithm for determining the most likely sequence of states; and a simplified approach for analyzing nonhomogeneous Poisson processes. There are also additional results on queues relating to the conditional distribution of the number found by an M/M/1 arrival who spends a time t in the system; inspection paradox for M/M/1 queues; and M/G/1 queue with server breakdown. Furthermore, the book includes new examples and exercises, along with compulsory material for new Exam 3 of the Society of Actuaries. This book is essential reading for professionals and students in actuarial science, engineering, operations research, and other fields in applied probability.

    • Computational and Numerical Challenges in Environmental Modelling

      • 1st Edition
      • Volume 13
      • May 2, 2006
      • Zahari Zlatev + 1 more
      • English
      • Hardback
        9 7 8 0 4 4 4 5 2 2 0 9 2
      • Paperback
        9 7 8 0 4 4 4 5 4 6 0 4 3
      • eBook
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      Many large mathematical models, not only models arising and used in environmental studies, are described by systems of partial differential equations. The discretization of the spatial derivatives in such models leads to the solution of very large systems of ordinary differential equations. These systems contain many millions of equations and have to be handled over large time intervals by applying many time-steps (up to several hundred thousand time-steps). Furthermore, many scenarios are as a rule to be run. This explains the fact that the computational tasks in this situation are enormous. Therefore, it is necessary to select fast numerical methods; to develop parallel codes and, what is most important when the problems solved are very large to organize the computational process in a proper way.The last item (which is very often underestimated but, let us re-iterate, which is very important) is the major topic of this book. In fact, the proper organization of the computational process can be viewed as a preparation of templates which can be used with different numerical methods and different parallel devices. The development of such templates is described in the book. It is also demonstrated that many comprehensive environmental studies can successfully be carried out when the computations are correctly organized. Thus, this book will help the reader to understand better that, while (a) it is very important to select fast numerical methods as well as (b) it is very important to develop parallel codes, this will not be sufficient when the problems solved are really very large. In the latter case, it is also crucial to exploit better the computer architecture by organizing properly the computational process.

    • Handbook of Algebra

      • 1st Edition
      • Volume 4
      • May 30, 2006
      • M. Hazewinkel
      • English
      • Paperback
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      • Hardback
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      • eBook
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      Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a name or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. If this happens, one should be able to find enough information in this Handbook to judge if it is worthwhile to pursue the quest.In addition to the primary information given in the Handbook, there are references to relevant articles, books or lecture notes to help the reader. An excellent index has been included which is extensive and not limited to definitions, theorems etc.The Handbook of Algebra will publish articles as they are received and thus the reader will find in this third volume articles from twelve different sections. The advantages of this scheme are two-fold: accepted articles will be published quickly and the outline of the Handbook can be allowed to evolve as the various volumes are published.A particularly important function of the Handbook is to provide professional mathematicians working in an area other than their own with sufficient information on the topic in question if and when it is needed.

    • Functional Inequalities Markov Semigroups and Spectral Theory

      • 1st Edition
      • February 24, 2006
      • Fengyu Wang
      • English
      • eBook
        9 7 8 0 0 8 0 5 3 2 0 7 3
      In this book, the functional inequalities are introduced to describe:(i) the spectrum of the generator: the essential and discrete spectrums, high order eigenvalues, the principle eigenvalue, and the spectral gap;(ii) the semigroup properties: the uniform intergrability, the compactness, the convergence rate, and the existence of density;(iii) the reference measure and the intrinsic metric: the concentration, the isoperimetic inequality, and the transportation cost inequality.

    • Introduction to Probability

      • 1st Edition
      • September 18, 2006
      • George G. Roussas
      • English
      • Paperback
        9 7 8 1 4 9 3 3 0 0 0 0 6
      • eBook
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      Roussas's Introduction to Probability features exceptionally clear explanations of the mathematics of probability theory and explores its diverse applications through numerous interesting and motivational examples. It provides a thorough introduction to the subject for professionals and advanced students taking their first course in probability. The content is based on the introductory chapters of Roussas's book, An Intoduction to Probability and Statistical Inference, with additional chapters and revisions.

    • Theory and Applications of Fractional Differential Equations

      • 1st Edition
      • Volume 204
      • January 12, 2006
      • A.A. Kilbas + 2 more
      • English
      • Hardback
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      • eBook
        9 7 8 0 0 8 0 4 6 2 0 7 3
      This monograph provides the most recent and up-to-date developments on fractional differential and fractional integro-differential equations involving many different potentially useful operators of fractional calculus.The subject of fractional calculus and its applications (that is, calculus of integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past three decades or so, due mainly to its demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering.Some of the areas of present-day applications of fractional models include Fluid Flow, Solute Transport or Dynamical Processes in Self-Similar and Porous Structures, Diffusive Transport akin to Diffusion, Material Viscoelastic Theory, Electromagnetic Theory, Dynamics of Earthquakes, Control Theory of Dynamical Systems, Optics and Signal Processing, Bio-Sciences, Economics, Geology, Astrophysics, Probability and Statistics, Chemical Physics, and so on.In the above-mentioned areas, there are phenomena with estrange kinetics which have a microscopic complex behaviour, and their macroscopic dynamics can not be characterized by classical derivative models.The fractional modelling is an emergent tool which use fractional differential equations including derivatives of fractional order, that is, we can speak about a derivative of order 1/3, or square root of 2, and so on. Some of such fractional models can have solutions which are non-differentiable but continuous functions, such as Weierstrass type functions. Such kinds of properties are, obviously, impossible for the ordinary models.What are the useful properties of these fractional operators which help in the modelling of so many anomalous processes? From the point of view of the authors and from known experimental results, most of the processes associated with complex systems have non-local dynamics involving long-memory in time, and the fractional integral and fractional derivative operators do have some of those characteristics.This book is written primarily for the graduate students and researchers in many different disciplines in the mathematical, physical, engineering and so many others sciences, who are interested not only in learning about the various mathematical tools and techniques used in the theory and widespread applications of fractional differential equations, but also in further investigations which emerge naturally from (or which are motivated substantially by) the physical situations modelled mathematically in the book.This monograph consists of a total of eight chapters and a very extensive bibliography. The main objective of it is to complement the contents of the other books dedicated to the study and the applications of fractional differential equations. The aim of the book is to present, in a systematic manner, results including the existence and uniqueness of solutions for the Cauchy type problems involving nonlinear ordinary fractional differential equations, explicit solutions of linear differential equations and of the corresponding initial-value problems through different methods, closed-form solutions of ordinary and partial differential equations, and a theory of the so-called sequential linear fractional differential equations including a generalization of the classical Frobenius method, and also to include an interesting set of applications of the developed theory.Key features:- It is mainly application oriented.- It contains a complete theory of Fractional Differential Equations.- It can be used as a postgraduate-level textbook in many different disciplines within science and engineering.- It contains an up-to-date bibliography.- It provides problems and directions for further investigations.- Fractional Modelling is an emergent tool with demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering.- It contains many examples.- and so on!

Related subjects

Mathematics and applied mathematics

Statistics and probability