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    HOME > MATHEMATICS > RECENT REVIEWS
    RECENT REVIEWS
     Mathematics
    Ordinal and Relational Clustering
    (With CD-ROM)
    by Melvin F Janowitz

    "Unlike many other books on this subject, this one is written by a mathematician from a mathematical standpoint. The approach is innovative, as the book treats dissimilarities that take values in partially ordered sets ... This book provides a nice mathematical model for clustering with posets. It includes many examples and algorithms and presents many years of work for the first time in a single source with enough background to be extremely useful for mathematicians and computer scientists alike. This book should be read by anyone doing clustering who is even remotely interested in a mathematical model of what the algorithms do and why they work. It belongs in every library and makes for an ideal text for beginning graduate students (or even advanced undergraduates) who want to explore an interdisciplinary topic with a wealth of applications."

    Mathematical Reviews
     
    Nonstandard Methods in Functional Analysis
    Lectures and Notes
    by Siu-Ah Ng

    "This well-written book is a self-contained treatment of functional analysis using methods from nonstandard analysis ... The book can be used as an excellent text for a one year graduate level course in this subject."

    Mathematical Reviews
     
    Geometry of Nonholonomically Constrained Systems
    by Richard Cushman, Hans Duistermaat, & Jędrzej Śniatycki

    "I consider this book as a fundamental reference on nonholonomic dynamics. It covers a broad variety of topics and problems covering these kinds of systems. It shows the importance of the geometric study of dynamical systems for integrability and qualitative analysis."

    Mathematical Reviews
     
    Numerical Conformal Mapping
    Domain Decomposition and the Mapping of Quadrilaterals
    by Nicolas Papamichael & Nikos Stylianopoulos

    "This is a very complete monograph on numerical conformal mapping. It is very pleasant to read at different levels: it is interesting for the scientist who wants to get familiar with the subject, and for the mathematician interested in the recent methods and software available for numerical conformal mapping but it is also a valuable resource for the researcher or engineer who wants to get more complete information and understanding on the capabilities of a particular method. The bibliography is very exhaustive ... the authors collect a large variety of results previously published, and deduce from them and prove some new ones, providing a very good understanding of the subject ... I highly recommend this book to all mathematical university libraries."

    Mathematical Reviews
     
    Curious Curves
    by Richard B Darst, Judith A Palagallo & Thomas E Price

    "This is an attractive book exploring topological and geometric aspects of many interesting and 'curious' curves ... The presentation is clear and well written ... The book is certainly well suited for an undergraduate topics course or for independent studies by undergraduate students and others interested in mathematics. The book is also well suited for an undergraduate seminar or as a rich source of research projects for undergraduate summer research programmes. The students will learn the rigorous theoretical foundation of the subject as well as meet a large number of interesting examples. Selected chapters in the book could be used by lecturers who want to illustrate a standard undergraduate course in analysis by interesting topics from some more specialized areas of real analysis."

    Mathematical Reviews
     
    Truly Nonlinear Oscillations
    Harmonic Balance, Parameter Expansions, Iteration, and Averaging Methods
    by Ronald E Mickens

    "The book is self-contained and suitable for both classroom use and self-study ... The author has definitely succeeded in presenting a readable book useful to students and professionals who are concerned with the field of nonlinear oscillations."

    Mathematical Reviews
     
    Lambda-Rings
    by Donald Yau

    "The book is one of the best of its kind, containing both the important known facts on the topic and new results which cannot be found elsewhere, very carefully and accurately presented"

    Mathematical Reviews
     
    Introduction to Algebraic Geometry and Commutative Algebra
    by Dilip P Patil & Uwe Storch

    "This monograph is possibly unique in offering at the graduate level an equally balanced, detailed, thoroughly integrated and relatively advanced combination of core topics in commutative algebra and algebraic geometry. The material is well-illustrated with examples. Moreover there is a wide range of exercises, many of them informative and some quite challenging."

    MathSciNet
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    Updated on 14 February 2012