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【簡介】 Description Welcome to the International Metric Version of Essential Calculus: Early Transcendental Functions. For this metric version, the units of measurement used in most of the examples and exercises have been changed from U.S. Customary units to metric units. We did not convert problems that are specific to the U.S. Customary units, such as dimensions of a baseball field or U.S. postal rates. We are excited to offer you a new edition with more resources then ever that will help you understand and master calculus. This text includes features and resources that continue to make Essential Calculus: Early Transcendental Functions a valuable learning tool for students and a trustworthy teaching tool for instructors. Essential Calculus: Early Transcendental Functions provides the clear instruction, precise mathematics, and thorough coverage that you expect for your course. 【目錄】 Table of Contents 1. Limits and Their Properties 2. Differentiation 3. Applications of Differentiation 4. Integration 5. Applications of Integration 6. Integration Techniques and Improper Integrals 7. Infinite Series 8. Parametric Equations, and Polar Coordinates 9. Vectores and the Geometry of Space 10. Vector-Valued Functions 11. Functions of Several Variables 12. Multiple Integration 13. Vector Analysis Appendix A. Proofs of Selected Theorems (Online)* Appendix B. Integration Tables Appendix C. Precalculus Reviews (Online)* Appendix D. Rotation and the General Second-Degree Equation (Online)* Appendix E. Complex Numberss (Online)* Appendix F. Business and Economic Applications (Online)* Answers to Selected Exercises Index
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【簡介】 Description Now in its 4th edition, Smith/Minton, Calculus: Early Transcendental Functions offers students and instructors a mathematically sound text, robust exercise sets and elegant presentation of calculus concepts. When packaged with ALEKS Prep for Calculus, the most effective remediation tool on the market, Smith/Minton offers a complete package to ensure students success in calculus. The new edition has been updated with a reorganization of the exercise sets, making the range of exercises more transparent. Additionally, over 1,000 new classic calculus problems were added to the exercise sets. 【目錄】 Table of Contents Chapter 0: Preliminaries Chapter 1: Limits and Continuity Chapter 2: Differentiation Chapter 3: Applications of the Derivative Chapter 4: Integration Chapter 5: Applications of the Definite Integral Chapter 6: Integration Techniques Chapter 7: First-Order Differential Equations Chapter 8: Infinite Series Chapter 9: Parametric Equations and Polar Coordinates Chapter 10: Vectors and the Geometry of Space Chapter 11: Vector-Valued Functions Chapter 12: Functions of Several Variables and Partial Differentiation Chapter 13: Multiple Integrals Chapter 14: Vector Calculus Chapter 15: Second Order Differential Equations
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Essential Calculus: Early Transcendental, Metric Version 2/e (Custom Solutions) +作者:Stewart +年份:2022 年2 版 +ISBN:9786269540655 +書號:MA0501PC +規格:菊8開/平裝/彩色 +頁數:872 +出版商:Cengage 目錄 I. Functions and Models 2. Limits and Derivatives 3. Differentiation Rules 4. Applications of Differentiation 5. Integrals 6. Applications ofIntegration 7. Techniques of Integration 8. Further Applications of Integration 9. Parametric Equations and Polar Coordinates 10. Sequences, Series, and Power Series 11. Vectors and the Geometry of Space 12. Partial Derivatives 13. Multiple Integrals
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【簡介】 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) 【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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【簡介】 Description Thomas' Calculus: Early Transcendentals offers a modern and robust introduction to calculus, enhancing students' understanding of the underlying mathematical ideas. Intuitive and precise explanations, thoughtfully chosen examples, and time-tested exercise sets form the foundation of this text. A hallmark feature has been the application of calculus to science and engineering; this text supports a calculus sequence typically taken by students in STEM fields over several semesters. 【目錄】 Table of Contents 1 Functions 2 Limits and Continuity 3 Derivatives 4 Applications of Derivatives 5 Integrals 6 Applications of Definite Integrals 7 Integrals and Transcendental Functions 8 Techniques of Integration 9 Infinite Sequences and Series 10 Parametric Equations and Polar Coordinates 11 Vectors and the Geometry of Space 12 Vector-Valued Functions and Motion in Space 13 Partial Derivatives 14 Multiple Integrals 15 Integrals and Vector Fields 16 First-Order Differential Equations 17 Second-Order Differential Equations (online) 18 Complex Functions (online) 19 Fourier Series and Wavelets (online)