Mathematics - Its content, methods and meaning (Vol. 1, 2, 3)

An adequate presentation of any science cannot consist of detailed information alone, however extensive. It must also provide a proper view of the essential nature of the science as a whole. The purpose of the present chapter is to give a general picture of the essential nature of mathematics. For this purpose there is no great need to introduce any of the details of recent mathematical theories, since elementary mathematics and the history of the science already provide a sufficient foundation for general conclusions.

Mathematical Structures for Computer Science_Judith L Gersting

This book provides an introduction to computer science, and shows how modern computerbased tools can be used in science, mathematics, and engineering. Computer-aided mathematics has reached a level where it can support effectively many computations in science and engineering. In addition to treating traditional computer-science topics, an introductory book should show scientists and engineers how these computer-based tools can be used to do scientific computations. Students must get to know these possibilities, and they must gain practical experience. Learning a traditional programming language becomes less important, just as learning arithmetic is not a main topic of mathematics education. In an introductory book, it is clearly necessary to limit ourselves to a small part of the huge field of computer science. We emphasize topics that are related to possible applications in mathematics and the sciences. Technical and practical computer science have therefore been neglected.

Linear Algebra with Applications 9th ed - Steven J. Leon (Pearson, 2015)

The first edition of this book was published in 1980. Many significant changes were made for the second edition (1986), most notably the exercise sets were greatly expanded and the linear transformations chapter of the book was completely revised. Each of the following editions has seen significant modifications including the addition of comprehensive sets of MATLAB computer exercises, a dramatic increase in the number of applications, and many revisions in the various sections of the book. I have been fortunate to have had outstanding reviewers and their suggestions have led to many important improvements in the book. For the ninth edition we have given special attention to Chapter 7 as it is the only chapter that has not seen major revisions in any of the previous editions. The following is an outline of the most significant revisions that were made for the ninth edition.

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