托马斯微积分（上册）
2004-7
高等教育出版社
[美] 吉尔当诺
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在我国已经加入WTO、经济全球化的今天，为适应当前我国高校各类创新人才培养的需要，大力推进教育部倡导的双语教学，配合教育部实施的“高等学校教学质量与教学改革工程”和“精品课程”建设的需要，高等教育出版社有计划、大规模地开展了海外优秀数学类系列教材的引进工作。 高等教育出版社和Pearson Education，John Wiley & Sons，McGraw-Hill，Thomson Learning等国外出版公司进行了广泛接触，经国外出版公司的推荐并在国内专家的协助下，提交引进版权总数100余种。收到样书后，我们聘请了国内高校一线教师、专家、学者参与这些原版教材的评介工作，并参考国内相关专业的课程设置和教学实际情况。
托马斯微积分（英文版），ISBN：9787040144246，作者：（ ）Ross L.Finney等著
作者：（美国）吉尔当诺 编者：（美国）芬尼
Preliminaries 1 Lines 1 2 Functions and Graphs 1 0 3 Exponential Functions 24 4 Inverse Functions and Logarithms 3 1 5 Trigonometric Functions and Their lnverses 44 6 Parametric Equations 60 7 Modeling Change 67 QUESTIONS TO GUIDE YOUR REVIEW 76 PRACTICE EXERCISES 77 ADDITIONAL EXERCISES：THEORY．EXAMPS．APPUCATIONS 801 Limits and Continuity 1．1 Rates of Change and Limi85 1．2 Finding Limiand One-Sided Limits 99 1．3 LimiInvolving Infinity 11 2 1．4 Continuity 123 1．5 Tangent Lines 134 QUESTIONS TO GUIDE YOUR REVIEW 1 41 PRACTICE EXERCISES 1 42 ADDITIONAL EXERCISES：THEORY．EXAMPLES．APPLICATIONS 1 432 DeriVatives 2．1 The Derivative as a Function 147 2．2 The Derivative as a Rate of Change 1 60 2．3 Derivatives of Products．Quotients．and Negative Powers 173 2．4 Derivatives of Trigonometric Functions 1 79 2．5 The Chain Rule and Parametric Equations 1 87 2．6 Implicit Difierentiation 1 98 2．7 Related Rates 207 QUESTIONS TO GUIDE YOUR REVIEW 21 6 PRACTICE EXERCISES 21 7 ADDITIONAL EXERCISES：THEORY．EXAMPLES．APPUCATIONS 2213 Applications of Derivatives 3．1 Extreme Values of Functions 225 3．2 The Mcan Value Theorem and Difierential Equations 237 3．3 The Shape of a Graph 245 3．4 Graphical Solutions of Autonomous Differential Equations 257 3．5 Modeling and Optimization 266 3．6 Linearization and Differentials 283 3．7 Newton’S Method 297 QUESTIONS TO GUIDE YOUR REVIEW 305 PRACTICE EXERCISES 305 ADDITIONAL EXERCISES：THEORY,EXAMPLES．APPLICATIONS 3094 Integration 4．1 Indefinite Integrals,Differential Equations．and Modeling 3 1 3 4．2 Integral Rules；Integration by Substitution 322 4．3 Estimating with Finite Sums 329 4．4 Ricmann Sums and Definite Integrals 340 4．5 The Mcan Value and FundamentaI Theorems 351 4．6 SubStitution in Definite Integrals 364 4．7 NumericalIntegration 373 QUESTIONS TO GUIDE YOUR REVIEW 384 PRACTICE EXERCISES 385 ADDITIONAL EXERCISES：THEORY．EXAMPLES．APPLICATIONS 3895 Applications of Integrals 5．1 Volumes by Slicing and Rotation About an Axis 393 5．2 Modeling Volume Using Cylindrical Shells 406 5．3 Lengths of Plane Curves 41 3 5．4 Springs．Pumping．and Lifting 421 5．5 Fluid Forces 432 5．6 Moments and Centers of Mass 439 QUESTIONS TO GUIDE YOUR REVIEW 451 PRACTICE EXERCISES 45 1 ADDITIONAL EXERCISES：THEORY．EXAMPLES．APPLICATIONS 4546 Transcendental Functions and Differential Equations 6．1 Logarithms 457 6．2 Exponential Functions 466 6．3 D——e|rivatives of Inverse Trigonometric Functions；Integrals 477 6．4 First．Order Separable Differential Equations 485 6．5 Linear FirSt．Order Differential Equations 499 6．6 Euler‘S Method；Poplulation Models 507 6．7 Hyperbolic Functions 520 QUESTIONS TO GUIDE YOUR REVIEW 530 PRACTICE EXERCISES 531 ADDmONAL EXERCISES：THEORY．EXAMPLES．APPLICATIONS 5357 Integration Techniques，L'H6pital’s Rule,and Improper Integrals 7．1 Basic Integration Formulas 539 7．2 Integration by Parts 546 7．3 Partial Fractions 555 7,4 Trigonometric Substitutions 565 7．5 Integral Tables．Computer Algebra Systems．and Monte Cario Integration 570 7．6 L'HSpitarS Rule 578 7．7 Improper Integrals 586 QUESTIONS TO GUIDE YOUR REVIEW 600 PRACTICE EXERCISES 601 ADDITIONAL EXERCISES：THEORY．EXAMPLES．APPLICATIONS 6038 Infinite Series 8．1 Limis of Sequences of Numbers 608 8．2 Subsequences．Bounded Sequences．and Picard'S Method 61 9 8．3 Infinite Series 627 8．4 Series of Nonnegative Terms 1639 8．5 Alternating Series。Absolute and Conditional Convergence 651 8．6 Power Series 660 8．7 Taylor and Maclaurin Series 669 8．8 Applications of Power Series 683 8．9 Fourier Series 691 8．10 Fourier Cosine and Sine Series 698 QUESTIONS TO GUIDE YOUR REVIEW 707 PRACTICE EXERCISES 708 ADDITIONAL EXERCISES：THEORY,EXAMPS．APPLICATIONS 7 119 Vectors in the Plane and Polar Functions 9．1 Vectors in the Plane 71 7 9．2 Dot Products 728 9．3 Vector-Valued Functions 738 9．4 Modeling Projectile Motion 749 9．5 Polar Coordinates and Graphs 761 9．6 Calculus of Polar Curyes 770 QUESTIONS TO GUIDE YOUR REVIEW 780 PRACTICE EXERCISES 780 ADDITIONAL EXERCISES：THEORY．EXAMPLES．APPUCATIONS 78410 Vectors and M0tion in Space 1O．1 Cartesian(Rectangular)Coordinates and Vectors in Space 787 10．2 Dot and Cross Products 796 10．3 Lines and Planes in Space 807 10．4 cylinders and Ouadric SurfaCes 816 10．5 Vector-Valued Functions and Space Curves 825 10．6 Arc Length and the Unit Tangent Vector T 838 10．7 The TNB Frame；Tangential and Normal Components of Acceleration 10．8 Planetary Motion and Satellites 857 QUESTIONS TO GUIDE YOUR REVIEW 866 PRACTICE EXERCISES 867 ADDITIONAL EXERCISES：THEORY．EXAMPLES．APPLICATIONS 87011 Multivariable Functions and 111eir Derivatives 1 1．1 Functions of SeveraI Variables 873 11．2 Limits and Continuity in Higher Dimensions 882 11．3 PartiaI Derivatives 890 11．4 The Chain Rule 902 11．5 DirectionaI Derivatives．Gradient Vectors．and Tangent Planes 91 1 11．6 Linearization and Difierentials 925 11．7 Extreme Values and Saddle Points 936……12 Multiple Integrals13 Integration in Vector FieldsAppendices
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《托马斯微积分》(上)(第10版影印版)与我国现行通用高等数学教材相比，其基本内容和结构框架有着许多近似之处，但在题材选取和处理上又有更多不同特色，尤其是，突出应用和数学建模，重视数值计算和程序应用。在适时引进现代数学和新学科知识等方面，更有不少精彩之处。
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非常好的一本书，通俗易懂。我之前看过同济版的微积分，对于我这个读文科的人而言，简直就是天书，被打击得不行。相对于国内的书籍比较偏重数学理论，这本书语言通俗幽默，偏重应用，对于非数学专业的人而言，应该是够用了。书中还加入了有很多有意思的application，比如原子弹的质能转换公式，计算流言蜚语的传播速度之类的。我已经学到了第七章，又买了下册。感谢这本书，让我重新找回了学习数学的信心。
还好吧，有光盘，只是英文的，亚历山大！
聪明的人都不会买这本书，除非你是大神
好书。引进版本中最适合的一种。
上下本一起买的，可是下比上册早了两个星期到，因为不同仓的缘故吧。。。希望能再快点。。。另外就是因为订货的时候写作地址，找客服改的，态度很好，回信也快
内容详实，通俗易懂，看惯了国内的教材，再看这本书，感觉“废话”多了些，不过在引导思路方面作者写得很到位~赞一个
非常好，送货速度够快，承诺的光盘也有。这本书内容也很好，学到了很多东西。
原版的教材，相当不错，就是光盘不会用
正文的介绍那里还写的 中文 英文，其实本来就是一本英文教材，害得我花了5元退货费！！！
印刷质量，纸质都不错。我喜欢。
影印的质量不是很好