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【分享】Computer Algebra Recipes.Springer.2006
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Computer Algebra Recipes: An Introductory Guide to the Mathematical Models of Science 本资源来自于互联网，仅供学习研究之用，不可涉及任何商业用途，请在下载后24小时内删除。 著作权归原作者或出版社所有。未经发贴人conanwj许可，严禁任何人以任何形式转贴本文，违者必究！ Authors(Editors): Richard H. Enns George C. McGuire Publisher:Springer Pub Date: 2006 Pages:435 ISBN-10 0-387-25767-5 e-ISBN 0-387-31262-5 ISBN-13 978-387-25767-9 Preface A computer algebra system (CAS) not only has the ability to "crunch numbers" and plot results, like traditional computing languages such as Fortran and C, but it can also perform the symbolic manipulations and analytic derivations required in most undergraduate and graduate science and engineering courses. To introduce students in these disciplines to mathematical modeling and computation using a CAS, the authors have previously published Computer Algebra Recipes: A Gourmet ^s Guide to the Mathematical Models of Science, based on the Maple CAS. Judging by course evaluations and reader feedback, the response to this book and the CAS approach has been quite favorable. After observing students' enthusiasm, their higher quality of work, their ability to solve more realistic problems, and best of all, their ability to answer "what if?" questions, we believe that the importance of using a CAS in learning and exploring mathematically based science subjects cannot be overstated. With the release of new, more powerful, versions of the Maple CAS since the first edition was published and the accumulation of many insightful comments and helpful suggestions from readers of the text, it seemed timely to produce a second edition. However, incorporating the necessary changes and suggestions would make an already lengthy book even longer, so the topics of the first edition have been reorganized and expanded into two new standalone volumes based on the expected mathematical level of the reader. In this first volume, we assume the reader's familiarity with linear algebra, vectors, and elementary calculus, and knowledge of (but not necessarily expertise at) linear ordinary diflPerential equations. The second volume {Computer Algebra Recipes: An Advanced Guide to the Mathematical Models of Science) deals with more advanced differential equation models, both ordinary and partial, and nonlinear as well as linear. Each volume, which may be used either as a course text or for self-study, features an eclectic collection of Maple computer algebra worksheets or "recipes" drawn from a wide variety of disciplines, including biology, economics, medicine, engineering, game theory, physics, mathematics, and chemistry. These recipes are systematically organized to illustrate graphical, analytical, and numerical techniques applied to scientific modeling. No prior knowledge of Maple is assumed in either volume, the early recipes of each book introducing the reader to the basic Maple syntax, and the subsequent recipes introducing further Maple commands and structure on a need-to-know basis. The recipes are fully annotated in the text and typically presented as "stories" or in a historical context. Each recipe takes the reader from the analytic formulation or statement of an interesting mathematical model to its analytic or numerical solution, and to a graphical visualization of the answer where relevant. The graphical representations vary from static 2-dimensional pictures, to contour and vector field plots, to 3-dimensional graphs that can be rotated, and to animations of analytic and numerical solutions. Every recipe is followed by a set of problems that readers can use to check their understanding or develop the topic further. For your convenience in solving these problems and to facilitate further exploration of a given topic, the unannotated recipes for each volume are included on an accompanying CD. 本资源13.7 MB。 ---------------------------------------------------------------------------- Computer Algebra Recipes_An Introductory Guide to the Mathematical Models of Science.Richard H. Enns.Springer.2006 ---------------------------------------------------------------------------- |
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