書名: Calculus: Early Transcendentals, Metric Edition (9版)
作者: STEWART
版次: 9
ISBN: 9780357113516
出版社: Cengage
出版日期: 2020/12
重量: 2.75 Kg
#數學與統計學
#微積分
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Calculus:Early Transcendentals, Metric Edition ISBN13:9780357113516 出版社:Cengage Learning; Inc 作者:James Stewart (McMaster University);Saleem (California State University Watson Long Beach);Daniel K. Clegg (Palomar College) 裝訂/頁數:平裝/1408頁 版次:9 出版日:2021/01/17 目錄 Preface. To the Student. Diagnostic Tests. A Preview of Calculus. 1. FUNCTIONS AND MODELS. Four Ways to Represent a Function. Mathematical Models: A Catalog of Essential Functions. New Functions from Old Functions. Exponential Functions. Inverse Functions and Logarithms. Review. Principles of Problem Solving. 2. LIMITS AND DERIVATIVES. The Tangent and Velocity Problems. The Limit of a Function. Calculating Limits Using the Limit Laws. The Precise Definition of a Limit. Continuity. Limits at Infinity; Horizontal Asymptotes. Derivatives and Rates of Change. Writing Project: Early Methods for Finding Tangents. The Derivative as a Function. Review. Problems Plus. 3. DIFFERENTIATION RULES. Derivatives of Polynomials and Exponential Functions. Applied Project: Building a Better Roller Coaster. The Product and Quotient Rules. Derivatives of Trigonometric Functions. The Chain Rule. Applied Project: Where Should a Pilot Start Descent? Implicit Differentiation. Discovery Project: Families of Implicit Curves. Derivatives of Logarithmic Functions and Inverse Trigonometric Functions. Rates of Change in the Natural and Social Sciences. Exponential Growth and Decay. Applied Project: Controlling Red Blood Cell Loss During Surgery. Related Rates. Approximations and Differentials. Discovery Project: Taylor Polynomials. Hyperbolic Functions. Review. Problems Plus. 4. APPLICATIONS OF DIFFERENTIATION. Maximum and Minimum Values. Applied Project: The Calculus of Rainbows. The Mean Value Theorem. What Derivatives Tell Us about the Shape of a Graph. Indeterminate Forms and l'Hospital's Rule. Writing Project: The Origins of l'Hospital's Rule. Summary of Curve Sketching. Graphing with Calculus and Technology. Optimization Problems. Applied Project: The Shape of a Can. Applied Project: Planes and Birds: Minimizing Energy. Newton's Method. Antiderivatives. Review. Problems Plus. 5. INTEGRALS. The Area and Distance Problems. The Definite Integral. Discovery Project: Area Functions. The Fundamental Theorem of Calculus. Indefinite Integrals and the Net Change Theorem. Writing Project: Newton, Leibniz, and the Invention of Calculus. The Substitution Rule. Review. Problems Plus. 6. APPLICATIONS OF INTEGRATION. Areas Between Curves. Applied Project: The Gini Index. Volumes. Volumes by Cylindrical Shells. Work. Average Value of a Function. Applied Project: Calculus and Baseball. Applied Project: Where to Sit at the Movies. Review. Problems Plus. 7. TECHNIQUES OF INTEGRATION. Integration by Parts. Trigonometric Integrals. Trigonometric Substitution. Integration of Rational Functions by Partial Fractions. Strategy for Integration. Integration Using Tables and Technology. Discovery Project: Patterns in Integrals. Approxi

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CALCULUS: EARLY TRANSCENDENTALS (4版)

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Calculus: Early Transcendentals 4/e Asia Edition +作者:Zill +年份:2021 年4 版 +ISBN:9789867696366 +書號:MA0476PCT +規格:平裝/彩色 +頁數:1024 +出版商:Jones & Bartlett 內容簡介 ●Available with WebAssign. View sample assignment here! ●Includes a balance of skill and concepts in the exercises that are at a graded level of difficulty. ●Each exercise set is clearly partitioned into groups of problems using headings such as Fundamentals, Applications, Mathematical Models, Projects, Calculator/CAS Problems, etc ●Each chapter opens with its own table of contents and an introduction to the material covered in the chapter. ●The text ends with Resource Pages, which is a compact review of basic concepts from algebra, geometry, trigonometry, and calculus. Many of the topics cover in the Resources Page are discussed in greater depth in the Student Resources Guide. ●The Test Yourself section is a self-test consisting of 56 questions on four broad areas of precalculus, and encourages students to review the more essential prerequisite subjects that are used throughout the text. ●Notes from the Classroom sections are informal discussions that are aimed at the student and discuss common algebraic, procedural, and notational errors, as well as provide advice and questions asking students to think about and extend upon the ideas just presented. ●Instructor's resources include a complete solutions manual and test items. Introduces calculus concepts and topics in a clear concise manner for maximum student retention. ●Straightforward exposition at a level accessible to today’s college students. ●Includes examples and applications ideal for science and engineering students. ●Concise reasoning behind every calculus concept is presented 目錄 Chapter 1 Functions Chapter 2 Limit of a Function Chapter 3 The Derivative Chapter 4 Applications of the Derivative Chapter 5 Integrals Chapter 6 Applications of the Integral Chapter 7 Techniques of Integration Chapter 8 First-Order Differential Equations Chapter 9 Sequences and Series Chapter 10 Conics and Polar Coordinates Chapter 11 Vectors and 3-Space Chapter 12 Vector-Valued Functions Chapter 13 Partial Derivatives Chapter 14 Multiple Integrals Chapter 15 Vector Integral Calculus Chapter 16 Higher-Order Differential Equations Resource Pages: Review of Algebra Formulas from Geometry Graphs and Functions Review of Trigonometry Exponential and Logarithmic Functions Differentiation Integration Formulas Answers to Selected Odd-Numbered Problems

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