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Viser: Single Variable Calculus, Books a la Carte Edition
Single Variable Calculus, Books a la Carte Edition
Lyle Cochran, Bernard Gillett, William Briggs og Eric Schulz
(2018)
Sprog: Engelsk
Pearson Education
1.299,00 kr.
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Detaljer om varen
- 3. Udgave
- Loose-leaf: 936 sider
- Udgiver: Pearson Education (Maj 2018)
- Forfattere: Lyle Cochran, Bernard Gillett, William Briggs og Eric Schulz
- ISBN: 9780134769691
NOTE: This edition features the same content as the traditional text in a convenient, three-hole-punched, loose-leaf version. Books a la Carte also offer a great value; this format costs significantly less than a new textbook. Before purchasing, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. For Books a la Carte editions that include MyLab(TM) or Mastering(TM), several versions may exist for each title--including customized versions for individual schools--and registrations are not transferable. In addition, you may need a Course ID, provided by your instructor, to register for and use MyLab or Mastering platforms.
For 3- to 4-semester courses covering single-variable and multivariable calculus, taken by students of mathematics, engineering, natural sciences, or economics.
T he most successful new calculus text in the last two decades The much-anticipated 3rd Edition of Briggs' Calculus Series retains its hallmark features while introducing important advances and refinements. Briggs, Cochran, Gillett, and Schulz build from a foundation of meticulously crafted exercise sets, then draw students into the narrative through writing that reflects the voice of the instructor. Examples are stepped out and thoughtfully annotated, and figures are designed to teach rather than simply supplement the narrative. The groundbreaking eBook contains approximately 700 Interactive Figures that can be manipulated to shed light on key concepts.
For the 3rd Edition, the authors synthesized feedback on the text and MyLab(TM) Math content from over 140 instructors and an Engineering Review Panel. This thorough and extensive review process, paired with the authors' own teaching experiences, helped create a text that was designed for today's calculus instructors and students.
Also available with MyLab Math MyLab Math is the teaching and learning platform that empowers instructors to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student.
Note: You are purchasing a standalone product; MyLab Math does not come packaged with this content. Students, if interested in purchasing this title with MyLab Math, ask your instructor to confirm the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.
If you would like to purchase both the physical text and MyLab Math, search for:
013499616X / 9780134996165 Single Variable Calculus, Books a la Carte, and MyLab Math with Pearson eText - Title-Specific Access Card Package, 3/e Package consists of:
For 3- to 4-semester courses covering single-variable and multivariable calculus, taken by students of mathematics, engineering, natural sciences, or economics.
T he most successful new calculus text in the last two decades The much-anticipated 3rd Edition of Briggs' Calculus Series retains its hallmark features while introducing important advances and refinements. Briggs, Cochran, Gillett, and Schulz build from a foundation of meticulously crafted exercise sets, then draw students into the narrative through writing that reflects the voice of the instructor. Examples are stepped out and thoughtfully annotated, and figures are designed to teach rather than simply supplement the narrative. The groundbreaking eBook contains approximately 700 Interactive Figures that can be manipulated to shed light on key concepts.
For the 3rd Edition, the authors synthesized feedback on the text and MyLab(TM) Math content from over 140 instructors and an Engineering Review Panel. This thorough and extensive review process, paired with the authors' own teaching experiences, helped create a text that was designed for today's calculus instructors and students.
Also available with MyLab Math MyLab Math is the teaching and learning platform that empowers instructors to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student.
Note: You are purchasing a standalone product; MyLab Math does not come packaged with this content. Students, if interested in purchasing this title with MyLab Math, ask your instructor to confirm the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.
If you would like to purchase both the physical text and MyLab Math, search for:
013499616X / 9780134996165 Single Variable Calculus, Books a la Carte, and MyLab Math with Pearson eText - Title-Specific Access Card Package, 3/e Package consists of:
- 0134769694 / 9780134769691 Single Variable Calculus, Books a la Carte Edition
- 013485683X / 9780134856834 MyLab Math with Pearson eText - Standalone Access Card - for Calculus, 3e
Table of Contents Functions
1.1 Review of Functions
1.2 Representing Functions
1.3 Inverse, Exponential, and Logarithmic Functions
1.4 Trigonometric Functions and Their Inverses Review Exercises Limits
2.1 The Idea of Limits
2.2 Definitions of Limits
2.3 Techniques for Computing Limits
2.4 Infinite Limits
2.5 Limits at Infinity
2.6 Continuity
2.7 Precise Definitions of Limits Review Exercises Derivatives
3.1 Introducing the Derivative
3.2 The Derivative as a Function
3.3 Rules of Differentiation
3.4 The Product and Quotient Rules
3.5 Derivatives of Trigonometric Functions
3.6 Derivatives as Rates of Change
3.7 The Chain Rule
3.8 Implicit Differentiation
3.9 Derivatives of Logarithmic and Exponential Functions
3.10 Derivatives of Inverse Trigonometric Functions
3.11 Related Rates Review Exercises Applications of the Derivative
4.1 Maxima and Minima
4.2 Mean Value Theorem
4.3 What Derivatives Tell Us
4.4 Graphing Functions
4.5 Optimization Problems
4.6 Linear Approximation and Differentials
4.7 L''Hôpital''s Rule
4.8 Newton''s Method
4.9 Antiderivatives Review Exercises Integration
5.1 Approximating Areas under Curves
5.2 Definite Integrals
5.3 Fundamental Theorem of Calculus
5.4 Working with Integrals
5.5 Substitution Rule Review Exercises Applications of Integration
6.1 Velocity and Net Change
6.2 Regions Between Curves
6.3 Volume by Slicing
6.4 Volume by Shells
6.5 Length of Curves
6.6 Surface Area
6.7 Physical Applications Review Exercises Logarithmic, Exponential, and Hyperbolic Functions
7.1 Logarithmic and Exponential Functions Revisited
7.2 Exponential Models
7.3 Hyperbolic Functions Review Exercises Integration Techniques
8.1 Basic Approaches
8.2 Integration by Parts
8.3 Trigonometric Integrals
8.4 Trigonometric Substitutions
8.5 Partial Fractions
8.6 Integration Strategies
8.7 Other Methods of Integration
8.8 Numerical Integration
8.9 Improper Integrals Review Exercises Differential Equations
9.1 Basic Ideas
9.2 Direction Fields and Euler''s Method
9.3 Separable Differential Equations
9.4 Special First-Order Linear Differential Equations
9.5 Modeling with Differential Equations Review Exercises Sequences and Infinite Series
10.1 An Overview
10.2 Sequences
10.3 Infinite Series
10.4 The Divergence and Integral Tests
10.5 Comparison Tests
10.6 Alternating Series
10.7 The Ratio and Root Tests
10.8 Choosing a Convergence Test Review Exercises Power Series
11.1 Approximating Functions with Polynomials
11.2 Properties of Power Series
11.3 Taylor Series
11.4 Working with Taylor Series Review Exercises Parametric and Polar Curves
12.1 Parametric Equations
12.2 Polar Coordinates
12.3 Calculus in Polar Coordinates
12.4 Conic Sections Review Exercises Vectors and the Geometry of Space
13.1 Vectors in the Plane
13.2 Vectors in Three Dimensions
13.3 Dot Products
13.4 Cross Products
13.5 Lines and Planes in Space
13.6 Cylinders and Quadric Surfaces Review Exercises Vector-Valued Functions
14.1 Vector-Valued Functions
14.2 Calculus of Vector-Valued Functions
14.3 Motion in Space
14.4 Length of Curves
14.5 Curvature and Normal Vectors Review Exercises Functions of Several Variables
15.1 Graphs and Level Curves
15.2 Limits and Continuity
15.3 Partial Derivatives
15.4 The Chain Rule
15.5 Directional Derivatives and the Gradient
15.6 Tangent Planes and Linear Approximation
15.7 Maximum/Minimum Problems
15.8 Lagrange Multipliers Review Exercises Multiple Integration
16.1 Double Integrals over Rectangular Regions
16.2 Double Integrals over General Regions
16.3 Double Integrals in Polar Coordinates
16.4 Triple Integrals
16.5 Triple Integrals in Cylindrical and Spherical Coordinates
16.6 Integrals for Mass Calculations
16.7 Change of Variables in Multiple Integrals Review Exercises Vector Calculus
17.1 Vector Fields
17.2 Line Integrals
17.3 Conservative Vector Fields
17.4 Green''s Theorem
17.5 Divergence and Curl
17.6 Surface Integrals
17.7 Stokes'' Theorem
17.8 Divergence Theorem Review Exercises D2 Second-Order Differential Equations ONLINE D2.1 Basic Ideas D2.2 Linear Homogeneous Equations D2.3 Linear Nonhomogeneous Equations D2.4 Applications D2.5 Complex Forcing Functions Review Exercises Appendix A. Proofs of Selected Theorems Appendix B. Algebra Review ONLINE Appendix C. Complex Numbers ONLINE Answers Index Table of Integrals
1.1 Review of Functions
1.2 Representing Functions
1.3 Inverse, Exponential, and Logarithmic Functions
1.4 Trigonometric Functions and Their Inverses Review Exercises Limits
2.1 The Idea of Limits
2.2 Definitions of Limits
2.3 Techniques for Computing Limits
2.4 Infinite Limits
2.5 Limits at Infinity
2.6 Continuity
2.7 Precise Definitions of Limits Review Exercises Derivatives
3.1 Introducing the Derivative
3.2 The Derivative as a Function
3.3 Rules of Differentiation
3.4 The Product and Quotient Rules
3.5 Derivatives of Trigonometric Functions
3.6 Derivatives as Rates of Change
3.7 The Chain Rule
3.8 Implicit Differentiation
3.9 Derivatives of Logarithmic and Exponential Functions
3.10 Derivatives of Inverse Trigonometric Functions
3.11 Related Rates Review Exercises Applications of the Derivative
4.1 Maxima and Minima
4.2 Mean Value Theorem
4.3 What Derivatives Tell Us
4.4 Graphing Functions
4.5 Optimization Problems
4.6 Linear Approximation and Differentials
4.7 L''Hôpital''s Rule
4.8 Newton''s Method
4.9 Antiderivatives Review Exercises Integration
5.1 Approximating Areas under Curves
5.2 Definite Integrals
5.3 Fundamental Theorem of Calculus
5.4 Working with Integrals
5.5 Substitution Rule Review Exercises Applications of Integration
6.1 Velocity and Net Change
6.2 Regions Between Curves
6.3 Volume by Slicing
6.4 Volume by Shells
6.5 Length of Curves
6.6 Surface Area
6.7 Physical Applications Review Exercises Logarithmic, Exponential, and Hyperbolic Functions
7.1 Logarithmic and Exponential Functions Revisited
7.2 Exponential Models
7.3 Hyperbolic Functions Review Exercises Integration Techniques
8.1 Basic Approaches
8.2 Integration by Parts
8.3 Trigonometric Integrals
8.4 Trigonometric Substitutions
8.5 Partial Fractions
8.6 Integration Strategies
8.7 Other Methods of Integration
8.8 Numerical Integration
8.9 Improper Integrals Review Exercises Differential Equations
9.1 Basic Ideas
9.2 Direction Fields and Euler''s Method
9.3 Separable Differential Equations
9.4 Special First-Order Linear Differential Equations
9.5 Modeling with Differential Equations Review Exercises Sequences and Infinite Series
10.1 An Overview
10.2 Sequences
10.3 Infinite Series
10.4 The Divergence and Integral Tests
10.5 Comparison Tests
10.6 Alternating Series
10.7 The Ratio and Root Tests
10.8 Choosing a Convergence Test Review Exercises Power Series
11.1 Approximating Functions with Polynomials
11.2 Properties of Power Series
11.3 Taylor Series
11.4 Working with Taylor Series Review Exercises Parametric and Polar Curves
12.1 Parametric Equations
12.2 Polar Coordinates
12.3 Calculus in Polar Coordinates
12.4 Conic Sections Review Exercises Vectors and the Geometry of Space
13.1 Vectors in the Plane
13.2 Vectors in Three Dimensions
13.3 Dot Products
13.4 Cross Products
13.5 Lines and Planes in Space
13.6 Cylinders and Quadric Surfaces Review Exercises Vector-Valued Functions
14.1 Vector-Valued Functions
14.2 Calculus of Vector-Valued Functions
14.3 Motion in Space
14.4 Length of Curves
14.5 Curvature and Normal Vectors Review Exercises Functions of Several Variables
15.1 Graphs and Level Curves
15.2 Limits and Continuity
15.3 Partial Derivatives
15.4 The Chain Rule
15.5 Directional Derivatives and the Gradient
15.6 Tangent Planes and Linear Approximation
15.7 Maximum/Minimum Problems
15.8 Lagrange Multipliers Review Exercises Multiple Integration
16.1 Double Integrals over Rectangular Regions
16.2 Double Integrals over General Regions
16.3 Double Integrals in Polar Coordinates
16.4 Triple Integrals
16.5 Triple Integrals in Cylindrical and Spherical Coordinates
16.6 Integrals for Mass Calculations
16.7 Change of Variables in Multiple Integrals Review Exercises Vector Calculus
17.1 Vector Fields
17.2 Line Integrals
17.3 Conservative Vector Fields
17.4 Green''s Theorem
17.5 Divergence and Curl
17.6 Surface Integrals
17.7 Stokes'' Theorem
17.8 Divergence Theorem Review Exercises D2 Second-Order Differential Equations ONLINE D2.1 Basic Ideas D2.2 Linear Homogeneous Equations D2.3 Linear Nonhomogeneous Equations D2.4 Applications D2.5 Complex Forcing Functions Review Exercises Appendix A. Proofs of Selected Theorems Appendix B. Algebra Review ONLINE Appendix C. Complex Numbers ONLINE Answers Index Table of Integrals
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