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  • Book

  • Elementary linear algebra

    • Authors: Kenneth Kuttler (2012)

  • This is an introduction to linear algebra. The main part of the book features row operations and everything is done in terms of the row reduced echelon form and specific algorithms. At the end, the more abstract notions of vector spaces and linear transformations on vector spaces are presented. However, this is intended to be a first course in linear algebra for students who are sophomores or juniors who have had a course in one variable calculus and a reasonable background in college algebra. I have given complete proofs of all the fundamental ideas, but some topics such as Markov matrices are not complete in this book but receive a plausible introduction. The book contains a complete treatment of determinants and a simple proof of the Cayley Hamilton theorem although these are op...
  • Book

  • Mathematica by example

    • Authors: Martha L. Abell (1994)

  • This text has been updated in order to be compatible with Mathematica version 2.2. The book focuses on the most used features of Mathematica and gears its approach toward the beginning Mathematica user. Topical coverage includes calculus, linear algebra and discrete mathematics.
  • Book

  • Integers, polynomials, and rings

    • Authors: Ronald S. Irving. (2004)

  • This book began life as a set of notes that I developed for a course at the University of Washington entitled Introduction to Modern Algebra for Tea- ers. Originally conceived as a text for future secondary-school mathematics teachers, it has developed into a book that could serve well as a text in an - dergraduatecourseinabstractalgebraoracoursedesignedasanintroduction to higher mathematics. This book di?ers from many undergraduate algebra texts in fundamental ways; the reasons lie in the book’s origin and the goals I set for the course. The course is a two-quarter sequence required of students intending to f- ?ll the requirements of the teacher preparation option for our B.A. degree in mathematics, or of the teacher preparation minor. It is required as well of those intending to m...
  • Book

  • Statistics for economists

    • Authors: John E. Floyd (2010)

  • This manuscript should be useful for economics and business students enrolled in basic courses in statistics and, as well, for people who have studied statistics some time ago and need a review of what they are supposed to have learned.
  • Book

  • Management mathematics

    • Authors: R.D. Hewins (2014)

  • People in business, economics and the social sciences are increasingly aware of the need to be able to handle a range of mathematical tools. This course is designed to fill this need by extending the 100 courses in Mathematics and Statistics into several even more practical and powerful areas of mathematics. It is not just forecasting and index numbers that have uses. Such things as differential equations and stochastic processes, for example, do have direct, frequent and practical applications to everyday management situations. This course is intended to extend your mathematical ability and interests beyond the knowledge acquired in earlier 100 courses. Throughout the mathematical and quantitative courses of the degrees we attempt to emphasise the applications of mathematics for m...
  • Book

  • Prime numbers

    • Authors: Richard Crandall (2005)

  • Prime numbers beckon to the beginner, as the basic notion of primality is accessible even to children. Yet, some of the simplest questions about primes have confounded humankind for millennia. In the new edition of this highly successful book, Richard Crandall and Carl Pomerance have provided updated material on theoretical, computational, and algorithmic fronts. New results discussed include the AKS test for recognizing primes, computational evidence for the Riemann hypothesis, a fast binary algorithm for the greatest common divisor, nonuniform fast Fourier transforms, and more. The authors also list new computational records and survey new developments in the theory of prime numbers, including the magnificent proof that there are arbitrarily long arithmetic progressions of primes,...
  • Book

  • Nonlinear programming : theory and algorithms

    • Authors: Mokhtar S. Bazaraa (2006)

  • Nonlinear Programming: Theory and Algorithms—now in an extensively updated Third Edition—addresses the problem of optimizing an objective function in the presence of equality and inequality constraints. Many realistic problems cannot be adequately represented as a linear program owing to the nature of the nonlinearity of the objective function and/or the nonlinearity of any constraints. The Third Edition begins with a general introduction to nonlinear programming with illustrative examples and guidelines for model construction.
  • Book

  • Graph theory

    • Authors: Reinhard Diestel (2000)

  • Almost two decades after the appearance of most of the classical texts on the theory, this fresh introduction offers a reassessment of the main fields, methods and results today. Viewed as a branch of pure mathematics, the theory of finite graphs is developed as a coherent subject in its own right, with its own unifying questions and methods. The book thus seeks to complement, not replace, the existing, more algorithmic treatments, and can be used at various levels. It contains all the standard material for a first undergraduate course, complete with detailed proofs and numerous illustrations. While, for graduates, the text offers proofs of several more advanced results, most of which appear in a book for the first time. These proofs are described with as much care and detail as the...