Elementary Differential Equations and Boundary Value Problems, 12/e (IE-Paperback)

William E. Boyce , Richard C. DiPrima , Douglas B. Meade

  • 出版商: Wiley
  • 出版日期: 2022-06-01
  • 定價: $1,640
  • 售價: 9.8$1,607
  • 語言: 英文
  • 頁數: 736
  • ISBN: 1119820510
  • ISBN-13: 9781119820512
  • 相關分類: 工程數學 Engineering-mathematics
  • 立即出貨 (庫存 < 3)

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商品描述

本書序言

●Concept checks:A new feature added to every end of chapter question sets. Designed to reinforce key chapter learning objectives and prepare students for the end-of-chapter problems.
●Worksheets:New feature developed as a lecture aid to teach class in a synchronous in-person, online or hybrid environment.Designed to help students follow the presentation and discussion of topics in each section and formulate a good set of notes with examples for that section. 
●Updated design:Provides an easy to navigate, student friendly reference.
●Updated text:Enriched with addition of new topics andenhanced coverage of the existingconcepts in some of the chapters. New appendix on Special Functions included.
●New and updated problems: More than 50% of intext and homework problems are updated or revised.

本書特色

●Flexible approach to content: Self-contained chapters allow instructors to customize the selection, order, and depth of chapters.
●Flexible approach to technology:Text is adaptable to courses having various levels of computer involvement, ranging from none to intensive. Technologies include advanced graphing calculators, spreadsheets, web-based systems (applets), computer algebra systems (Maple, Mathematica, Sage), scientific computations systems (MATLAB), or traditional programing (FORTRAN, JavaScript, Python). More than 450 problems are marked with technology icons and files for those problems are available. 
●Emphasis on understanding concepts: A great number of problems as well as some examples call for conclusions to be drawn about the solution which reinforces the concept of the topic. 

商品描述(中文翻譯)

本書序言

- 概念檢查:每個章節結尾新增的新功能,旨在強化章節學習目標,並為學生準備章節結尾的問題。
- 工作表:作為講座輔助工具開發的新功能,可在同步面對面、線上或混合環境中教授課程。旨在幫助學生跟隨每個部分的演示和討論主題,並為該部分制定一套良好的筆記和示例。
- 更新的設計:提供易於導航、學生友好的參考資料。
- 更新的內容:在某些章節中增加了新主題並增強了現有概念的涵蓋範圍。新增了一個關於特殊函數的附錄。
- 新的和更新的問題:超過50%的內文和作業問題已更新或修訂。

本書特色

- 內容靈活:獨立的章節使教師能夠自定義章節的選擇、順序和深度。
- 技術靈活:文本適應於各種程度的計算機參與的課程,從無到密集。技術包括高級圖形計算器、試算表、基於網絡的系統(小程序)、計算機代數系統(Maple、Mathematica、Sage)、科學計算系統(MATLAB)或傳統編程(FORTRAN、JavaScript、Python)。超過450個問題標有技術圖標,並提供這些問題的文件。
- 強調理解概念:大量的問題以及一些示例要求對解決方案進行結論,從而強化了該主題的概念。

作者簡介

Dr. William E. Boyce  Edward P. Hamilton Professor Emeritus, Department of Mathematical Sciences, Rensselaer Polytechnic Institute
Richard C. DiPrima - formerly Eliza Ricketts Foundation Professor, Department of Mathematical Sciences, Rensselaer Polytechnic Institute
Douglas B. Meade - Department of Mathematics, University of South Carolina-Columbia

作者簡介(中文翻譯)

Dr. William E. Boyce - Rensselaer Polytechnic Institute數學科學系Edward P. Hamilton名譽教授
Richard C. DiPrima - Rensselaer Polytechnic Institute數學科學系Eliza Ricketts基金會教授(已退休)
Douglas B. Meade - 南卡羅來納大學哥倫比亞分校數學系

目錄大綱

Chapter 1 Introduction
Chapter 2 First Order Differential Equations
Chapter 3 Second-Order Linear Differential Equations
Chapter 4 Higher-Order Linear Differential Equations
Chapter 5 Series Solutions of First-Order and Second-Order Linear Equations
Chapter 6 Systems of First-Order Linear Equations
Chapter 7 The Laplace Transform
Chapter 8 Numerical Methods of Solving First Order Equations
Chapter 9 Nonlinear Differential Equations and Stability
Chapter 10 Partial Differential Equations and Fourier Series
Chapter 11 Boundary Value Problems and Sturm-Liouville Theory

目錄大綱(中文翻譯)

第1章 簡介
第2章 一階微分方程
第3章 二階線性微分方程
第4章 高階線性微分方程
第5章 一階和二階線性方程的級數解
第6章 一階線性方程組
第7章 拉普拉斯變換
第8章 解一階方程的數值方法
第9章 非線性微分方程和穩定性
第10章 偏微分方程和傅立葉級數
第11章 邊界值問題和斯特姆-李維爾理論