Book Description

This classic paper pertaining to the theory of the Yang-Baxter equations presents results on the applications of methods of the theory of Lie algebras to the classification of solutions of the Yang-Baxter equations. ... Read more

Book Description

A computationally oriented comparison of solution algorithms for two stage and jointly chance constrained stochastic linear programming problems, this is the first book to present comparative computational results with several major stochastic programming solution approaches.
The following methods are considered: regularized decomposition, stochastic decomposition and successive discrete approximation methods for two stage problems; cutting plane methods, and a reduced gradient method for jointly chance constrained problems.
The first part of the book introduces the algorithms, including a unified approach to decomposition methods and their regularized counterparts. The second part addresses computer implementation of the methods, describes a testing environment based on a model management system, and presents comparative computational results with the various algorithms. Emphasis is on the computational behavior of the algorithms. ... Read more

Reviews (1)

Interesting for researchers; not so much for students.
This not a bad book, and I didn't regret buying it. However, if you are interested in an introduction to stochastic linear programming, look for other books (e.g. Kall/Wallace or Birge/Louveaux). Indeed, the title doesnot convey the true nature of the book. Its subtitle (A comparison based ona model management system) better clarifies its purpose: it is a shortresearch monograph where different solution algorithms are compared. If youwant, it is a sort of high-level thesis work, from which a book has beenderived.

Computational tests are a quite significant part of the book,whereas the introduction to the field is quite brief (and limited in scope;for instance only two-stage problems with recourse are described).

Thetheoretical part aims at being rigorous and self-contained (since it startsfrom the basics of convex optimization), but it is too brief and hard toread for a student. It can be used as a reference for the experiencedreader, provided she tracks all the required references in the literature.Furthermore, it may be interesting for people searching for some work onchance constrained problems, since the author is an active researcher inthis area.

As to the computational testing, it is worth noting that theauthor describes how to generate problem instances to test differentalgorithms; this is good for people looking for benchmarks. On the otherhand, many readers will not find the description of the codes developed bythe author much useful.

On the whole, while it may be a useful readingfor a researcher, this is more a long survey article than a true book. Inview of this, a cheaper edition would have been better. ... Read more

Book Description

This unique history surveys the mathematical contributions of numerous individuals noted mainly for their groundbreaking activities in other fields.It evaluates the discoveries of such luminaries as Plato, Leonardo da Vinci, Omar Khayyam, Jan de Witt, Denis Diderot, William George Horner, Antoine Arnauld, and many others, providing fascinating information on their lives and circumstances.The book also includes a valuable introductory essay by Professor Jeremy Gray, who comments on changes that have taken place in the study of history and mathematics since the initial publication of this classic work in 1949. ... Read more

Book Description

Proposing a wide range of mathematical models that are currently used in life sciences may be regarded as a challenge, and that is precisely the challenge that this book takes up. Of course this panoramic study does not claim to offer a detailed and exhaustive view of the many interactions between mathematical models and life sciences. This textbook provides a general overview of realistic mathematical models in life sciences, considering both deterministic and stochastic models and covering dynamical systems, game theory, stochastic processes and statistical methods. Each mathematical model is explained and illustrated individually with an appropriate biological example. Finally three appendices on ordinary differential equations, evolution equations, and probability are added to make it possible to read this book independently of other literature. ... Read more

Book Description

This book provides a state of the art summary on the general theme of descriptive multivariate analysis.It consists of a collection of commissioned, edited articles by an international group of leading researchers: Phipps Arabie (Rutgers University) writes on "Clustering from the Perspective of Combinatorial Data Analysis".Bernard Flury (Indiana University) includes some highly novel and previously unpublished work in "Principal Component Models for Patterned Covariance Matrices".David Edwards' (University of Novi Nordisk, Denmark) "Graphical Modelling" and the chapter on "Convergent Computation" provide thorough and useful surveys of recent research not available in other texts on multivariate analysis.Other contributions include James Ramsay (McGill University, Montreal); Clause Wiehs (CIBA-GEIGY, Bosle); Willen Heiser (University of Leiden); and Ruben Gabriel (University of Rochester, New York).The material should provide a useful reference for graduate students and researchers. ... Read more

Book Description

Virtual learning plays an important role in providing academicians, educators and students alike, with advanced learning experiences. At the forefront of these current technologies are knowledge-based systems that assess the environment in which such learning will occur and are adaptive by nature to the individual needs of the user. This monograph provides a wide range of innovative approaches of virtual education with a special emphasis on inter-disciplinary approaches. The book covers a multitude of important issues on the subject of "Innovations in Knowledge-Based Virtual Education ", aiming at researchers and practitioners from academia, industry, and government. The carefully selected contributions report on research, development and real-world experiences of virtual education such as intelligent virtual teaching, web-based adaptive learning systems, intelligent agents or using multiagent intelligence. ... Read more

Book Description

This book developed from a series of conferences to facilitate the application of mathematical modeling to experimental nutrition. As nutrition science moves from prevention of gross deficiencies to identifying requirements for optimum long term health, more sophisticated methods of nutritional assessment will be needed. Collection and evaluation of kinetic data may be one such method.
This books opens with chapters giving specific examples of the application of modeling techniques to vitamin A, carotenoids, folate, vitamin b-6, glycogen phosphorylase, transthyretin, amino acids, and energy metabolism. Obtaining kinetic data on internal processes is a major challenge; therefore, the text includes chapters on the use of microdialysis and ultrafiltration, use of membrane vesicles, and culture of mammary tissue.
Many of the authors use the Simulation, Analysis and Modeling program which allows compartmental models to be described without specifying the required differential equations. The final sections of the book, however, present some more mathematical descriptions of physiological processes, including bioperiodicity, metabolic control, and membrane transport; discussions of some computational aspects of modeling such as parameter distributions, linear integrators and identifiability; and alternative mathematical approaches such as neural networks and graph theory.

Key Features
* Specific, detailed examples of applications of modeling to vitamins, proteins, amino acids, and energy metabolism
* Novel methods for collecting kinetic data--microdialysis, ultrafiltration, membrane vesicles, and the culture of mammary tissue
* Mathematical treatment of complex metabolic processes including bioperiodicity, metabolic control, and membrane transport
* Computational approaches to distribution of kinetic parameters, evaluation of linear integrators, and identifiability
* Alternative mathematical approaches--neural networks and graph theory
Detailed descriptions of the application of modeling to a variety of nutrients ... Read more

Book Description

The key words for the book are "Galois groups", or more precisely "generic polynomials","Galois coverings of algebraic curves" and "Shimura varieties". The work includes surveys on branches of research areas and many articles, all critically refereed by experts, which present the latest research results with carefully written expository introductions. The topics cover a wide range which nonetheless have a common thread.Audience: This volume is suitable for advanced undergraduate and graduate students, as well as researchers. ... Read more

Book Description

The field of research in collegiate mathematics education hasgrown rapidly over the past twenty-five years. Many people areconvinced that improvement in mathematics education can onlycome with a greater understanding of what is involved when astudent tries to learn mathematics and how pedagogy can be moredirectly related to the learning process. Today there is asubstantial body of work and a growing group of researchersaddressing both basic and applied issues of mathematicseducation at the collegiate level.

This second volume in Research in Collegiate MathematicsEducation begins with a paper that attends to methodology andcloses with a list of questions. The lead-off paper describes adistinctive approach to research on key concepts in theundergraduate mathematics curriculum. This approach isdistinguished from others in several ways, especially itsintegration of research and instruction. The papers in thisvolume exhibit a large diversity in methods and purposes,ranging from historical studies, to theoretical examinations ofthe role of gender in mathematics education, to practicalevaluations of particular practices and circumstances.

As in RCME I, this volume poses a list of questions to the readerrelated to undergraduate mathematics education. The eighteenquestions were raised at the first Oberwolfach Conference inUndergraduate Mathematics Education, which was held in the fallof 1995, and are related to both research and curriculum. ... Read more

Book Description

This volume contains contributions from international experts in the fields of constructive approximation. This area has reached out to encompass the computational and approximation-theoretical aspects of various interesting fields in applied mathematics such as (multivariate) approximation methods, quasi-interpolation,and approximation by (orthogonal) polynomials, as well as the modern mathematical developments in neuro fuzzy approximation, RBF-networks, industrial and engineering applications. ... Read more

Book Description

This collection of reprints of Featured Reviews published inMathematical Reviews (MR) makes widely available peer reviews ofsome of the best mathematics published 1994--1996.

Featured Reviews was introduced in MR at the beginning of 1995 inpart to provide some guidance to the current research-levelliterature. With the exponential growth of publications inmathematical research in the first half-century of MR, it hadbecome essentially impossible for the users of MR to identifythe most important new research-level books and papers,especially in fields outside of users' own expertise. This firstvolume identifies some of the papers and books of significantimportance published in 1994--1996 in areas of pure or appliedmathematics. All of the papers reviewed in this book containinteresting ideas or applications, a deep synthesis of existingideas, or any combination of these. The book is illustrated withphotos. The volume leads readers to important research acrossall fields covered by MR. ... Read more

Book Description

This volume contains selected papers from the Sixth Conferencefor African American Researchers in the Mathematical Sciences(CAARMS), held at Morgan State University in Baltimore (MD). TheCAARMS organizes this annual conference showcasing the currentresearch primarily, but not exclusively, of African Americans inthe mathematical sciences. Since the first conference in 1995,significant numbers of researchers have presented their currentwork in technical talks, and graduate students have presentedtheir work in organized poster sessions.

Research topics include mathematics (number theory, analysis,topology, differential equations, algebra, combinatorics, etc.),mathematical physics, mathematical biology, operations research,probability and statistics, and computer science. In addition tothe invited talks, tutorials and group discussions on varioustopics are organized to stimulate, nurture, and encourageincreased participation by African Americans and otherunderrepresented groups in the mathematical sciences. Theseevents create an ideal forum for mentoring and networking whereattendees can meet researchers and graduate students who areinterested in the same fields.

For volumes based on previous CAARMS proceedings, see AfricanAmericans in Mathematics, Volume 34, in the AMS Series inDiscrete Mathematics and Theoretical Computer Science, AfricanAmericans in Mathematics II, Volume 252, and Council for AfricanAmerican Researchers in the Mathematical Sciences: Volume III,Volume 275, in the AMS series, Contemporary Mathematics. ... Read more

Book Description

This textbook presents the design and analysis of experiments that comprises the aspects of classical theory for continuous response and of modern procedures for categorical response, and especially for correlated categorical response. For any design (independent response and matched pair response) the parametric and nonparametric tests depending on the data level are given. Complex designs, as for example, crossover and repeated measures, are included at an introductory and advanced level. The problem of missing data is discussed and the author proposes procedures for approaching this problem. This volume will be an important reference book for graduate students, university teachers, and for statistical researchers in the pharmaceutical industry and clinical research in medicine and dentistry, as well as in many other applied areas.This second edition contains more examples and graphical illustrations. Chapter 3, "The Linear Regression Model," now contains several diagnostic tools and more examples. Chapter 7, "Categorical Response Variables," was completely rewritten. The proofs of the more theoretical Chapters 3 and 4 were moved to an appendix. More emphasis has been placed on explaining and justifying some approaches.Helge Toutenburg is Professor of Statistics at the University of Munich. He has written seventeen books on linear models, statistical methods in quality engineering, and the analysis of designed experiments. He works on applications of statistics to the fields of medicine and engineering. ... Read more