Differential Equations, 4/e (Paperback)
暫譯: 微分方程 (第4版)

Blanchard

Differential Equations, 4/e (Paperback)
  • 出版商: Cengage Learning
  • 出版日期: 2011-12-01
  • 定價: $1,400
  • 售價: 9.8 折 $1,372
  • 語言: 英文
  • 頁數: 836
  • 裝訂: Paperback
  • ISBN: 1133110592
  • ISBN-13: 9781133110590

    • 下單後立即進貨 (約5~7天)

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相關主題

商品描述

  • Table of Contents
    1. FIRST-ORDER DIFFERENTIAL EQUATIONS.
    2. FIRST-ORDER SYSTEMS.
    3. LINEAR SYSTEMS.
    4. FORCING AND RESONANCE.
    5. NONLINEAR SYSTEMS.
    6. LAPLACE TRANSFORMS.
    7. NUMERICAL METHODS.
    8. DISCRETE DYNAMICAL SYSTEMS.

 

  • Features
    • The book's modeling approach emphasizes understanding of the meaning of variables and parameters in a differential equation and interpreting this meaning in an applied setting.
    • Revisited models in the text reinforce recurring themes and synthesize multiple concepts to solve practical problems. This helps students develop a natural intuition for how to approach an applied problem in real life without a road map.
    • A large number of well-chosen exercises integrate the qualitative, numerical, and analytic arguments behind a solution and require students to demonstrate understanding of the concepts behind the problem.
    • Lab activities at the end of each chapter offer deeper explorations of models, and require students to summarize their results in a report that demonstrates the necessary qualitative, numerical, and analytic arguments.
      Certain exercises make optional use of specific applets in the DE Tools suite to harness the power of technology in solving differential equations.

    New to This Edition
    • New in-depth models on timely and relevant applications such as SIR infectious disease modeling.
    • Chapters on First-Order Systems, Linear Systems, and Forcing and Resonance have been extensively rewritten for better clarity and readability.
    • Several sections, particularly in Chapters 2-4, have been reorganized for teaching flexibility and to better fit into class time constraints.
    • Exercise sets have been thoroughly refreshed with updated problems throughout the text.

商品描述(中文翻譯)



  • 目錄

    1. 一階微分方程。

    2. 一階系統。

    3. 線性系統。

    4. 強迫與共振。

    5. 非線性系統。

    6. 拉普拉斯變換。

    7. 數值方法。

    8. 離散動態系統。

 



  • 特色


    • 本書的建模方法強調理解微分方程中變數和參數的意義，並在應用情境中詮釋這些意義。

    • 文本中重新探討的模型強化了重複出現的主題，並綜合多個概念以解決實際問題。這有助於學生在沒有路線圖的情況下，自然地發展出如何處理現實生活中的應用問題的直覺。

    • 大量精心挑選的練習題整合了解決方案背後的定性、數值和分析論點，並要求學生展示對問題背後概念的理解。

    • 每章結尾的實驗活動提供了對模型的深入探索，並要求學生在報告中總結他們的結果，展示必要的定性、數值和分析論點。

      某些練習題可選擇使用DE Tools套件中的特定小應用程式，以利用技術的力量來解決微分方程。




    本版新內容


    • 新增針對時效性和相關應用的深入模型，例如SIR傳染病建模。

    • 一階系統、線性系統以及強迫與共振的章節已被廣泛重寫，以提高清晰度和可讀性。

    • 第二至第四章的幾個部分已重新組織，以提高教學靈活性並更好地適應課堂時間限制。

    • 練習題集已全面更新，整個文本中的問題均已更新。



目錄大綱

  • Table of Contents
    1. FIRST-ORDER DIFFERENTIAL EQUATIONS.
    2. FIRST-ORDER SYSTEMS.
    3. LINEAR SYSTEMS.
    4. FORCING AND RESONANCE.
    5. NONLINEAR SYSTEMS.
    6. LAPLACE TRANSFORMS.
    7. NUMERICAL METHODS.
    8. DISCRETE DYNAMICAL SYSTEMS.

目錄大綱(中文翻譯)



  • Table of Contents

    1. FIRST-ORDER DIFFERENTIAL EQUATIONS.

    2. FIRST-ORDER SYSTEMS.

    3. LINEAR SYSTEMS.

    4. FORCING AND RESONANCE.

    5. NONLINEAR SYSTEMS.

    6. LAPLACE TRANSFORMS.

    7. NUMERICAL METHODS.

    8. DISCRETE DYNAMICAL SYSTEMS.

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