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  • 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


  • 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


  • 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


  • Authors: Sergei Treil (2014)

  • The title of the book sounds a bit mysterious. Why should anyone read this book if it presents the subject in a wrong way? What is particularly done “wrong” in the book? Before answering these questions, let me first describe the target audience of this text. This book appeared as lecture notes for the course “Honors Linear Algebra”. It supposed to be a first linear algebra course for mathematically advanced students. It is intended for a student who, while not yet very familiar with abstract reasoning, is willing to study more rigorous mathematics than what is presented in a “cookbook style” calculus type course. Besides being a first course in linear algebra it is also supposed to be a first course introducing a student to rigorous proof, formal definitions in short, to the style...

  • Book


  • Authors: Dušan Djukić (2010)

  • The IMO Compendium" is the ultimate collection of challenging high-school-level mathematics problems and is an invaluable resource not only for high-school students preparing for mathematics competitions, but for anyone who loves and appreciates mathematics.

  • Book


  • Authors: Mokhtar S. Bazaraa (2010)

  • The only book to treat both linear programming techniques and network flows under one cover, Linear Programming and Network Flows, Fourth Edition has been completely updated with the latest developments on the topic. This new edition continues to successfully emphasize modeling concepts, the design and analysis of algorithms, and implementation strategies for problems in a variety of fields, including industrial engineering, management science, operations research, computer science, and mathematics. Linear Programming and Network Flows, Fourth Edition is an excellent book for linear programming and network flow courses at the upper-undergraduate and graduate levels. It is also a valuable resource for applied scientists who would like to refresh their understanding of linear program...

  • Book


  • 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