書籍分類
Differential Equations and Boundary Value Problems: Computing and Modeling 4/e
作者：Henry Edwards, David Penney
原價：NT$ 1,250
ISBN：9780132061155
版次：4
年份：2007
出版商：Pearson Education
頁數/規格：804頁/平裝雙色
版次：4
年份：2007
出版商：Pearson Education
頁數/規格：804頁/平裝雙色
內容介紹 目錄
- Features
-
Approximately 2000 problems-These problems span the range from computational problems to applied and conceptual problems. There are over 300 new qualitative problems in this edition.
＊ Provides students with problem sets that are carefully graded so that the opening problems can be easily solved by most students, giving them encouragement to continue through the set. -
Emphasis on the intersection of technology and ODEs-Recognizes the need to instruct students in the new methods of computing differential equations.
＊ Shows students the software systems tailored specifically to differential equations as well as the widely used Maple, Mathematica, and MATLAB. -
300 new computer-generated graphics-Show vivid pictures of slope fields, solution curves, and phase plane portraits.
＊ Brings to life the symbolic solutions of differential equations through the visualizing of qualitative features. -
Extensive expansion of qualitative solutions to the problem sets.
＊ Scan the Answer section to see the new geometric flavor. -
Fresh numerical methods emphasis-Made possible by the early introduction of numerical solution techniques, mathematical modeling, stability and qualitative properties of differential equations. The text includes generic numerical algorithms that can be implemented in various technologies.
＊ Gives students and instructors a choice when implementing which type of technology they can utilize, as well as provides an innovative combination of topics usually dispersed later in other texts. -
Application Modules-Follow key sections throughout the text; while many involve computational investigations, they are written in a technology-neutral manner. Technology-specific systems modules are available in the accompanying Applications Manual.
＊ Actively engages students, providing facility and experience in the geometric visualization and qualitative interpretation that play a prominent role in contemporary differential equations. -
Leaner and more streamlined coverage-Shaped by the availability of computational aids.
＊ Allows students to learn traditional manual topics (like exact equations and variation of parameters) more easily. -
Unusually flexible treatment of linear systems-Covers in Chapters 4 and 5 the necessary linear algebra followed by a substantial treatment of nonlinear systems and phenomena in Chapter 6. The use of matrix exponential methods plays an enhanced role in this edition.
＊ Reflects the current trends in science and engineering education and practice. -
Accompanying 350-page Applications Manual-Provides detailed coverage of Maple, Mathematica, and MATLAB and is free when shrink-wrapped with text.
＊ Expands and enhances for students the text's applications material. -
Very Robust DE Website-Presents text projects in the form of interactive Maple, Mathematica, and MATLAB notebooks and worksheets.
＊ Provides students with the opportunity to download technology-specific versions of individual projects. -
Accompanying Instructor's Solutions Manual and Student's Solutions Manual.
＊ Gives both students and instructors valuable detailed text support. - Chapter 3 now includes new explanations of signs and directions of internal forces in mass-spring systems; new introduction and illustration of polar exponential forms of complex numbers; and fuller explanation of method of undetermined coefficients.
- Chapter 5 now includes new exposition to explain the connection between matrix variation of parameters and (scalar) variation of parameters for second-order equations previously discussed in Chapter 3.
- Chapter 7 now includes new discussion clarifying functions of exponential order and existence of Laplace transforms and new much-expanded discussion of the proof of the Laplace-transform existence theorem and its extension to include the jump discontinuities that play an important role in many practical applications.
- New problems have been added to most chapters to provide students with further practice of what they have learned.
- New figures and images help increase student understanding of concepts.
- Additional discussions appear at the beginning of select chapters to provide students with more clarity on difficult topics.
New to This Edition
