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  • 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...
  • Book

  • Mathematics for Economics and Business

    • Authors: Ian Jacques (2006)

  • Mathematics for Economics and Business provides a thorough foundation in mathematical methods for economics, business studies and accountancy students. Assuming little prior knowledge, this informal text is a great companion for those who have not studied maths in depth before. This book truly promotes self-study as students are encouraged to tackle problems as they go along and can see fully worked examples to help their understanding. Both beginners and more advanced students will find material in this book relevant to their needs.
  • Book

  • 104 number theory problems : from the training of the USA IMO team

    • Authors: Titu Andreescu (2007)

  • This challenging problem book by renowned US Olympiad coaches, mathematics teachers, and researchers develops a multitude of problem-solving skills needed to excel in mathematical contests and in mathematical research in number theory. Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.
  • Book

  • 102 Combinatorial Problems

    • Authors: Titu Andreescu (2002)

  • 102 Combinatorial Problems consists of carefully selected problems that have been used in the training and testing of the USA International Mathematical Olympiad (IMO) team. The text provides in-depth enrichment in the important areas of combinatorics by systematically reorganizing and enhancing problem-solving tactics and strategies. The book gradually builds combinatorial skills and techniques and not only broadens the student's view of mathematics, but is also excellent for training teachers.
  • Book

  • Mathematics of Economics and Business

    • Authors: Frank Werner (2006)

  • Today, a firm understanding of mathematics is essential for any serious student of economics. Students of economics need nowadays several important mathematical tools. These include calculus for functions of one or several variables as well as a basic understanding of optimization with and without constraints, e.g. linear programming plays an important role in optimizing production programs. Linear algebra is used in economic theory and econometrics. Students in other areas of economics can benefit for instance from some knowledge about differential and difference equations or mathematical problems arising in finance. The more complex economics becomes, the more deep mathematics is required and used. Today economists consider mathematics as the most important tool of economics and b...
  • Book

  • Elementary Linear Algebra with Applications

    • Authors: Howard Anton (2005)

  • This classic treatment of linear algebra presents the fundamentals in the clearest possible way, examining basic ideas by means of computational examples and geometrical interpretation. It proceeds from familiar concepts to the unfamiliar, from the concrete to the abstract. Readers consistently praise this outstanding text for its expository style and clarity of presentation. The applications version features a wide variety of interesting, contemporary applications. Clear, accessible, step-by-step explanations make the material crystal clear. Established the intricate thread of relationships between systems of equations, matrices, determinants, vectors, linear transformations and eigenvalues.
  • Book

  • Mathematical Methods in Economics and Finance

    • Authors: Elio Canestrelli (2008)

  • This is the second of two special issues of Mathematical Methods in Economics and Finance devoted to the International Conference MAF 2008 – Mathematical and Statistical Methods for Actuarial Sciences and Finance held in Venice (Italy) from March 26 to 28, 2008. The conference has been the first international edition of a biennial national series begun at 2004, which was born by a brilliant belief of the colleagues – and friends – of the Department of Economics and Statistical Sciences of the University of Salerno: the idea following which the cooperation between mathematicians and statisticians in working in actuarial sciences, in insurance and in finance can improve research on these topics. The proof of the goodness of this belief has consisted in the wide participation to these...