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  • Book

  • Ordinary differential equations

    • Authors: Gabriek Nagy (2017)

  • This is an introduction to ordinary differential equations. We describe the main ideas to solve certain differential equations, like first order scalar equations, second order linear equations, and systems of linear equations. We use power series methods to solve variable coefficients second order linear equations. We introduce Laplace transform methods to find solutions to constant coefficients equations with generalized source functions. We provide a brief introduction to boundary value problems, eigenvalueeigenfunction problems, and Fourier series expansions. We end these notes solving our first partial differential equation, the heat equation. We use the method of separation of variables, where solutions to the partial differential
  • Book

  • P-adic Numbers, p-adic Analysis, and Zeta-Functions

    • Authors: Neal Koblitz (1984)

  • The first edition of this work has become the standard introduction to the theory of p-adic numbers at both the advanced undergraduate and beginning graduate level. This second edition includes a deeper treatment of p-adic functions in Ch. 4 to include the Iwasawa logarithm and the p-adic gamma-function, the rearrangement and addition of some exercises, the inclusion of an extensive appendix of answers and hints to the exercises, as well as numerous clarifications.
  • 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...
  • Book

  • Lecture Notes on Mathematics for Economists

    • Authors: Takashi Kunimoto (2010)

  • This course is designed to provide you with mathematical tools that are extensively used in graduate economics courses. The topics which will be covered is • Sets and Functions; • Topology in the Euclidean Space; • Linear Algebra • Multivariate Calculus; • Static Optimization; • (Optional) Correspondences and Fixed Points; and • (Optional) The First-Order Differential Equations in One Variable. A good comprehension of the material covered in the notes is essential for successful graduate studies in economics