Calculus: A Complete Course, 10/e (Hardocver)
暫譯: 微積分:完整課程,第10版(精裝本)
Robert A. Adams , Christopher Essex
- 出版商: Pearson FT Press
- 出版日期: 2021-01-26
- 定價: $1,360
- 售價: 9.8 折 $1,333
- 語言: 英文
- 頁數: 1200
- ISBN: 0135732581
- ISBN-13: 9780135732588
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相關分類:
微積分 Calculus
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商品描述
本書序言
Besides numerous improvements and clarifications throughout the book and tweakings of existing material, this edition introduces, in Chapter 11, the concept of a metric space and its application to spherical trigonometry (and, of course, navigation on the surface of our spherical planet), and Einstein’s theory of special relativity, the conclusions of which follow from the selection of a particular metric for measuring distance in four-dimensional space-time.
Also new in this edition is the introduction to the methods of the Calculus of Variations in Section 20.4, and an introduction, in Appendix VI, to the opensource programming language, Python, which can replace Maple or Mathematica as a free computer algebra system.
本書特色
MyLabMath is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practise what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. MyLab can be successfully implemented in any classroom environment - lab-based, hybrid, fully online, or traditional. By addressing instructor and student needs, MyLab improves student learning.
●Student Engagement and Achievement Students are motivated to succeed when they’re engaged in the learning experience and understand the relevance and power of mathematics. MyLab Math’s online homework offers students immediate feedback and tutorial assistance that motivates them to do more, which means they retain more knowledge and improve their test scores.
●Exercises with immediate feedback are based on the textbook exercises, and regenerate algorithmically to give students unlimited opportunity for practice and mastery. MyLab provides helpful feedback when students enter incorrect answers and includes optional learning aids including Help Me Solve This, View an Example, and the eText.
●Learning Catalytics is a student response tool that uses students’ smartphones, tablets, or laptops to engage them in more interactive tasks and thinking. Learning Catalytics fosters student engagement and peer-to-peer learning with real-time analytics.
商品描述(中文翻譯)
本書序言
除了對全書進行了多項改進和澄清,以及對現有材料的調整外,本版在第11章引入了度量空間的概念及其在球面三角學(以及當然,在我們的球形星球表面上的導航)中的應用,還有愛因斯坦的特殊相對論,其結論源於選擇一種特定的度量來測量四維時空中的距離。
本版還新增了第20.4節中變分法的介紹,以及在附錄VI中對開源程式語言Python的介紹,該語言可以作為免費的計算機代數系統來取代Maple或Mathematica。
本書特色
MyLabMath是一個在線作業、教程和評估程序,旨在與本書配合使用,以吸引學生並改善學習成果。在其結構化的環境中,學生可以練習所學知識,測試自己的理解,並追求個性化的學習計劃,幫助他們吸收課程材料並理解困難的概念。MyLab可以在任何教室環境中成功實施——實驗室、混合、完全在線或傳統教學。通過滿足教師和學生的需求,MyLab改善了學生的學習。
● 學生參與和成就 當學生參與學習體驗並理解數學的相關性和力量時,他們會更有動力去成功。MyLab Math的在線作業為學生提供即時反饋和教程協助,激勵他們進一步學習,這意味著他們能夠保留更多知識並提高考試成績。
● 具有即時反饋的練習 基於教科書練習,並通過算法重新生成,為學生提供無限的練習和掌握機會。當學生輸入錯誤答案時,MyLab提供有用的反饋,並包括可選的學習輔助工具,如“幫我解決這個”、“查看範例”和電子文本。
● Learning Catalytics 是一種學生反應工具,利用學生的智能手機、平板電腦或筆記本電腦,讓他們參與更具互動性的任務和思考。Learning Catalytics促進了學生的參與和同儕學習,並提供實時分析。
目錄大綱
Chapter P: Preliminaries
Chapter 1: Limits and Continuity
Chapter 2: Differentiation
Chapter 3: Transcendental Functions
Chapter 4: More Applications of Differentiation
Chapter 5: Integration
Chapter 6: Techniques of Integration
Chapter 7: Applications of Integration
Chapter 8: Conics, Parametric Curves, and Polar Curves
Chapter 9: Sequence, Series, and Power Series
Chapter 10: Vectors and Coordinate Geometry in 3-Space
Chapter 11: Arc length, Metric Spaces, and Applications
Chapter 12: Vector Functions and Curves
Chapter 13: Partial Differentiation
Chapter 14: Applications of Partial Derivatives
Chapter 15: Multiple Integration
Chapter 16: Vector Fields
Chapter 17: Vector Calculus
Chapter 18: Differential Forms and Exterior Calculus
Chapter 19: Ordinary Differential Equations
Chapter 20: More Topics in Differential Equations
Appendix 1 Complex Numbers
Appendix 2 Complex Functions
Appendix 3 Continuous Functions
Appendix 4 The Riemann Integral
Appendix 5 Doing Calculus with Maple
Appendix 6 Doing Calculus with Python
Answers to Odd-Numbered Exercises
目錄大綱(中文翻譯)
Chapter P: Preliminaries
Chapter 1: Limits and Continuity
Chapter 2: Differentiation
Chapter 3: Transcendental Functions
Chapter 4: More Applications of Differentiation
Chapter 5: Integration
Chapter 6: Techniques of Integration
Chapter 7: Applications of Integration
Chapter 8: Conics, Parametric Curves, and Polar Curves
Chapter 9: Sequence, Series, and Power Series
Chapter 10: Vectors and Coordinate Geometry in 3-Space
Chapter 11: Arc length, Metric Spaces, and Applications
Chapter 12: Vector Functions and Curves
Chapter 13: Partial Differentiation
Chapter 14: Applications of Partial Derivatives
Chapter 15: Multiple Integration
Chapter 16: Vector Fields
Chapter 17: Vector Calculus
Chapter 18: Differential Forms and Exterior Calculus
Chapter 19: Ordinary Differential Equations
Chapter 20: More Topics in Differential Equations
Appendix 1 Complex Numbers
Appendix 2 Complex Functions
Appendix 3 Continuous Functions
Appendix 4 The Riemann Integral
Appendix 5 Doing Calculus with Maple
Appendix 6 Doing Calculus with Python
Answers to Odd-Numbered Exercises