Product Description: This book reproduces a course of ten lectures given by the author, Karl W. Gruenberg, at the NSF Regional Conference at the University of Wisconsin-Parkside in July 1974. The aim of the lectures was twofold: to show group theorists how the presentation theory of finite groups can nowadays be successfully approached with the help of integral representation theory, and to persuade ring theorists that here was an area of group theory well suited to applications of integral representation theory...read more

Product Description: This latest edition of The Finite Element Method in Partial Differential Equations investigates the numerical solution of partial differential equations, and includes numerous examples and exercises. Reflecting advances in the use of finite element method, it includes a chapter emphasizing modern applications in fluid mechanics, mathematical biology, and mathematical physics...read more

Product Description: An introduction to finite or business mathematics that begins with a review of basic concepts (sets, real numbers, linear equations) and continues with matrices, linear programming, probability, games, statistics, finances, precalculus and calculus.

"Finite Mathematics" is designed for the one-term course in finite math taken primarily by students majoring in business, economics, life sciences, and the social sciences. The mathematical integrity of the previous edition has been maintained in the new edition. The core topics and their applications are presented in Parts One and Two of this text, and additional applications are developed in Part Three. Parts One and Two are independent of one another, thus either probability or linear mathematics may be studied first. The authors' emphasis is on developing and testing the student's problem-solving ability. They use discussions and examples to illustrate ideas and techniques to aid the student in acquiring these skills. Some examples and exercises are straightforward computation, while others require that the problem be solved by combining several techniques. Since it is impossible to provide examples of every type of problem the student will encounter in the text, the authors have identified and treated the fundamental principles that should be used in unfamiliar situations.

Widely known for incorporating interesting, relevant and realistic applications, this new edition offers many more real applications citing real data sources. It also allows for increased visualization and discovery through optional use of graphing calculators. A dedicated World Wide Web site rounds out the teaching and learning package, offering projects based on current events, and graphing calculator programs tied to the text.

Making Math Relevant to the Real World The seventh edition lives up to its reputation as a clearly written, comprehensive finite mathematics and calculus text. Students will find a greater emphasis on real-world applications from the fields of business and social sciences, making the material relevant to their studies. From the increased use of boxed formulas to informative explanations of examples, Mizrahi and Sullivan make this edition even more accessible to students. Hallmark Features * The comprehensive and readable coverage has received praise through six editions. * The text is flexibly organized. A flowchart in the preface shows instructors how to sequence chapters to meet specific needs. * Well-graded exercise sets at the end of each section help students gain a better understanding of the material. * End-of-chapter study questions for review include true/false and fill-in-the-blank questions with answers. * An abundance of realistic examples are provided that gradually increase in difficulty to develop conceptual understanding. * Mathematical questions from CPA, CMA, and actuary exams show students the relevance of the material. Also available by Mizrahi and Sullivan: Finite Mathematics: An Applied Approach, 8/E (0-471-32202-4)

Product Description: This book covers the most important issues in the theory of functional differential equations and their applications for both deterministic and stochastic cases. Among the subjects treated are qualitative theory, stability, periodic solutions, optimal control and estimation, the theory of linear equations, and basic principles of mathematical modelling...read more

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Positivity is one of the most basic mathematical concepts, involved in many areas of mathematics (analysis, real algebraic geometry, functional analysis, etc.). The main objective of the book is to give useful characterizations of polynomials. Beyond basic knowledge in algebra, only valuation theory as explained in the appendix is needed.

Product Description: Key Message: Lial, Greenwell, and Ritchey continue their tradition of integrating relevant, realistic applications with current data sources to provide an application-oriented text for students majoring in business, management, economics, or the life or social sciences...read more

Product Description: A concise outline of the basic facts of potential theory and quasiconformal mappings makes this book an ideal introduction for non-experts who want to get an idea of applications of potential theory and geometric function theory in various fields of construction analysis. (view table of contents, read Amazon.com's description)

Product Description: Two-and three-level difference schemes for discretisation in time, in conjunction with finite difference or finite element approximations with respect to the space variables, are often used to solve numerically non­ stationary problems of mathematical physics...read more

Product Description: Many physical systems require the description of mechanical interaction across interfaces if they are to be successfully analyzed. Examples in the engineered world range from the design of prosthetics in biomedical engi­ neering (e...read more (view table of contents, read Amazon.com's description)

This book applies model theoretic methods to the study of certain finite permutation groups, the automorphism groups of structures for a fixed finite language with a bounded number of orbits on 4-tuples. Primitive permutation groups of this type have been classified by Kantor, Liebeck, and Macpherson, using the classification of the finite simple groups. Building on this work, Gregory Cherlin and Ehud Hrushovski here treat the general case by developing analogs of the model theoretic methods of geometric stability theory. The work lies at the juncture of permutation group theory, model theory, classical geometries, and combinatorics. The principal results are finite theorems, an associated analysis of computational issues, and an "intrinsic" characterization of the permutation groups (or finite structures) under consideration. The main finiteness theorem shows that the structures under consideration fall naturally into finitely many families, with each family parametrized by finitely many numerical invariants (dimensions of associated coordinating geometries). The authors provide a case study in the extension of methods of stable model theory to a nonstable context, related to work on Shelah's "simple theories." They also generalize Lachlan's results on stable homogeneous structures for finite relational languages, solving problems of effectivity left open by that case. Their methods involve the analysis of groups interpretable in these structures, an analog of Zilber's envelopes, and the combinatorics of the underlying geometries. Taking geometric stability theory into new territory, this book is for mathematicians interested in model theory and group theory.

Product Description: Boundary element methods are very important for solving boundary value problems in PDEs. Many boundary value problems of partial differential equations can be reduced into boundary integral equations by the natural boundary reduction...read more (view table of contents, read Amazon.com's description)

Product Description: As computational fluid dynamics (CFD) is applied to ever more demanding fluid flow problems, the ability to compute numerical fluid flow solutions to a user specified tolerance as well as the ability to quantify the accuracy of an existing numerical solution are seen as essential ingredients in robust numerical simulation...read more (view table of contents, read Amazon.com's description)

Fundamentals of Differential Equations, Sixth Edition is designed for a one-semester sophomore or junior-level course. Fundamentals of Differential Equations and Boundary Value Problems, Fourth Edition, contains enough material for a two-semester course that covers and builds on boundary-value problems. These tried-and-true texts help students understand the methods and concepts they will need to successfully complete engineering courses. The new texts retain the features that have made previous editions successful, while integrating recent advances in teaching and learning. The Fundamentals of Differential Equations and Boundary Value Problems version consists of the main text plus three additional chapters (Eigenvalue Problems and Sturm-Liouville Equations; Stability of Autonomous Systems; and Existence and Uniqueness Theory).