Calculus Books
De Gruyter Numerical Methods
£134.42
De Gruyter Fractional Signals and Systems
£119.70
£118.75
£107.35
De Gruyter Potentials and Partial Differential Equations: The Legacy of David R. Adams
Book SynopsisThis volume is dedicated to the legacy of David R. Adams (1941-2021) and discusses calculus of variations, functional - harmonic - potential analysis, partial differential equations, and their applications in modeling, mathematical physics, and differential - integral geometry.
£155.80
Cengage Learning Physics for Scientists Engineers
£226.05
Springer Fachmedien Wiesbaden Numerische Mathematik
Book SynopsisAnschaulich und gründlich vermittelt dieses Buch die Grundlagen der Numerik. Die Darstellung des Stoffes ist algorithmisch ausgerichtet. Zur Begründung einer numerischen Methode werden zuerst die theoretischen Grundlagen vermittelt. Anschließend wird das Verfahren so formuliert, dass seine Realisierung als Rechenprogramm einfach ist. Zu diesem Buch ist eine elektronische Version geplant. PowerPoint-Vorlagen für Dozenten sind kostenlos über den Online-Service des Verlages erhältlich. Auf der Homepage des Autors zum Buch finden Sie zahlreiche Programm-Masken, die die Lösung von Basisproblemen der Numerik ermöglichen. Table of ContentsFehlertheorie - Lineare Gleichungssysteme, direkte Methoden - Interpolation und Approximation - Nichtlineare Gleichungen - Eigenwertprobleme - Ausgleichsprobleme, Methode der kleinsten Quadrate - Numerische Integration - Anfangswertprobleme - Rand- und Eigenwertprobleme - Partielle Differenzialgleichungen - Lineare Gleichungssysteme, iterative Verfahren
£47.49
McGraw-Hill Education - Europe Loose Leaf Version for Applied Calculus
Book Synopsis
£174.60
Pearson Education (US) Student Solutions Manual for Thomas Calculus
Book SynopsisJoel Hass received his PhD from the University of California Berkeley. He is currently a professor of mathematics at the University of California Davis. He has coauthored widely used calculus texts as well as calculus study guides. He is currently on the editorial board of several publications, including the Notices of the American Mathematical Society. He has been a member of the Institute for Advanced Study at Princeton University and of the Mathematical Sciences Research Institute, and he was a Sloan Research Fellow. Hass's current areas of research include the geometry of proteins, three dimensional manifolds, applied math, and computational complexity. In his free time, Hass enjoys kayaking. Christopher Heil received his PhD from the University of Maryland. He is currently a professor of mathematics at the Georgia Institute of TechnolTable of ContentsTable of Contents Functions 1.1 Functions and Their Graphs 1.2 Combining Functions; Shifting and Scaling Graphs 1.3 Trigonometric Functions 1.4 Graphing with Software Limits and Continuity 2.1 Rates of Change and Tangent Lines to Curves 2.2 Limit of a Function and Limit Laws 2.3 The Precise Definition of a Limit 2.4 One-Sided Limits 2.5 Continuity 2.6 Limits Involving Infinity; Asymptotes of Graphs Derivatives 3.1 Tangent Lines and the Derivative at a Point 3.2 The Derivative as a Function 3.3 Differentiation Rules 3.4 The Derivative as a Rate of Change 3.5 Derivatives of Trigonometric Functions 3.6 The Chain Rule 3.7 Implicit Differentiation 3.8 Related Rates 3.9 Linearization and Differentials Applications of Derivatives 4.1 Extreme Values of Functions on Closed Intervals 4.2 The Mean Value Theorem 4.3 Monotonic Functions and the First Derivative Test 4.4 Concavity and Curve Sketching 4.5 Applied Optimization 4.6 Newton’S Method 4.7 Antiderivatives Integrals 5.1 Area and Estimating with Finite Sums 5.2 Sigma Notation and Limits of Finite Sums 5.3 The Definite Integral 5.4 The Fundamental Theorem of Calculus 5.5 Indefinite Integrals and the Substitution Method 5.6 Definite Integral Substitutions and the Area Between Curves Applications of Definite Integrals 6.1 Volumes Using Cross-Sections 6.2 Volumes Using Cylindrical Shells 6.3 Arc Length 6.4 Areas of Surfaces of Revolution 6.5 Work and Fluid Forces 6.6 Moments and Centers of Mass Transcendental Functions 7.1 Inverse Functions and Their Derivatives 7.2 Natural Logarithms 7.3 Exponential Functions 7.4 Exponential Change and Separable Differential Equations 7.5 Indeterminate Forms and L’Hôpital's Rule 7.6 Inverse Trigonometric Functions 7.7 Hyperbolic Functions 7.8 Relative Rates of Growth Techniques of Integration 8.1 Using Basic Integration Formulas 8.2 Integration by Parts 8.3 Trigonometric Integrals 8.4 Trigonometric Substitutions 8.5 Integration of Rational Functions by Partial Fractions 8.6 Integral Tables and Computer Algebra Systems 8.7 Numerical Integration 8.8 Improper Integrals 8.9 Probability First-Order Differential Equations 9.1 Solutions, Slope Fields, and Euler’s Method 9.2 First-Order Linear Equations 9.3 Applications 9.4 Graphical Solutions of Autonomous Equations 9.5 Systems of Equations and Phase Planes Infinite Sequences and Series 10.1 Sequences 10.2 Infinite Series 10.3 The Integral Test 10.4 Comparison Tests 10.5 Absolute Convergence; The Ratio and Root Tests 10.6 Alternating Series and Conditional Convergence 10.7 Power Series 10.8 Taylor and Maclaurin Series 10.9 Convergence of Taylor Series 10.10 Applications of Taylor Series Parametric Equations and Polar Coordinates 11.1 Parametrizations of Plane Curves 11.2 Calculus with Parametric Curves 11.3 Polar Coordinates 11.4 Graphing Polar Coordinate Equations 11.5 Areas and Lengths in Polar Coordinates 11.6 Conic Sections 11.7 Conics in Polar Coordinates Vectors and the Geometry of Space 12.1 Three-Dimensional Coordinate Systems 12.2 Vectors 12.3 The Dot Product 12.4 The Cross Product 12.5 Lines and Planes in Space 12.6 Cylinders and Quadric Surfaces Vector-Valued Functions and Motion in Space 13.1 Curves in Space and Their Tangents 13.2 Integrals of Vector Functions; Projectile Motion 13.3 Arc Length in Space 13.4 Curvature and Normal Vectors of a Curve 13.5 Tangential and Normal Components of Acceleration 13.6 Velocity and Acceleration in Polar Coordinates Partial Derivatives 14.1 Functions of Several Variables 14.2 Limits and Continuity in Higher Dimensions 14.3 Partial Derivatives 14.4 The Chain Rule 14.5 Directional Derivatives and Gradient Vectors 14.6 Tangent Planes and Differentials 14.7 Extreme Values and Saddle Points 14.8 Lagrange Multipliers 14.9 Taylor’s Formula for Two Variables 14.10 Partial Derivatives with Constrained Variables Multiple Integrals 15.1 Double and Iterated Integrals over Rectangles 15.2 Double Integrals over General Regions 15.3 Area by Double Integration 15.4 Double Integrals in Polar Form 15.5 Triple Integrals in Rectangular Coordinates 15.6 Applications 15.7 Triple Integrals in Cylindrical and Spherical Coordinates 15.8 Substitutions in Multiple Integrals Integrals and Vector Fields 16.1 Line Integrals of Scalar Functions 16.2 Vector Fields and Line Integrals: Work, Circulation, and Flux 16.3 Path Independence, Conservative Fields, and Potential Functions 16.4 Green’s Theorem in the Plane 16.5 Surfaces and Area 16.6 Surface Integrals 16.7 Stokes' Theorem 16.8 The Divergence Theorem and a Unified Theory Second-Order Differential Equations (Online at www.goo.gl/MgDXPY) 17.1 Second-Order Linear Equations 17.2 Nonhomogeneous Linear Equations 17.3 Applications 17.4 Euler Equations 17.5 Power-Series Solutions Appendices Real Numbers and the Real Line Mathematical Induction Lines, Circles, and Parabolas Proofs of Limit Theorems Commonly Occurring Limits Theory of the Real Numbers Complex Numbers The Distributive Law for Vector Cross Products The Mixed Derivative Theorem and the Increment Theorem
£71.68
Pearson Education (US) Thomas Calculus Single Variable
Book SynopsisJoel Hass received his PhD from the University of California Berkeley. He is currently a professor of mathematics at the University of California Davis. He has coauthored widely used calculus texts as well as calculus study guides. He is currently on the editorial board of several publications, including the Notices of the American Mathematical Society. He has been a member of the Institute for Advanced Study at Princeton University and of the Mathematical Sciences Research Institute, and he was a Sloan Research Fellow. Hass's current areas of research include the geometry of proteins, three dimensional manifolds, applied math, and computational complexity. In his free time, Hass enjoys kayaking. Christopher Heil received his PhD from the University of Maryland. He is currently a professor of mathematics at the Georgia Institute of TechnolTable of ContentsTable of Contents Functions 1.1 Functions and Their Graphs 1.2 Combining Functions; Shifting and Scaling Graphs 1.3 Trigonometric Functions 1.4 Graphing with Software Limits and Continuity 2.1 Rates of Change and Tangent Lines to Curves 2.2 Limit of a Function and Limit Laws 2.3 The Precise Definition of a Limit 2.4 One-Sided Limits 2.5 Continuity 2.6 Limits Involving Infinity; Asymptotes of Graphs Derivatives 3.1 Tangent Lines and the Derivative at a Point 3.2 The Derivative as a Function 3.3 Differentiation Rules 3.4 The Derivative as a Rate of Change 3.5 Derivatives of Trigonometric Functions 3.6 The Chain Rule 3.7 Implicit Differentiation 3.8 Related Rates 3.9 Linearization and Differentials Applications of Derivatives 4.1 Extreme Values of Functions on Closed Intervals 4.2 The Mean Value Theorem 4.3 Monotonic Functions and the First Derivative Test 4.4 Concavity and Curve Sketching 4.5 Applied Optimization 4.6 Newton’S Method 4.7 Antiderivatives Integrals 5.1 Area and Estimating with Finite Sums 5.2 Sigma Notation and Limits of Finite Sums 5.3 The Definite Integral 5.4 The Fundamental Theorem of Calculus 5.5 Indefinite Integrals and the Substitution Method 5.6 Definite Integral Substitutions and the Area Between Curves Applications of Definite Integrals 6.1 Volumes Using Cross-Sections 6.2 Volumes Using Cylindrical Shells 6.3 Arc Length 6.4 Areas of Surfaces of Revolution 6.5 Work and Fluid Forces 6.6 Moments and Centers of Mass Transcendental Functions 7.1 Inverse Functions and Their Derivatives 7.2 Natural Logarithms 7.3 Exponential Functions 7.4 Exponential Change and Separable Differential Equations 7.5 Indeterminate Forms and L’Hôpital's Rule 7.6 Inverse Trigonometric Functions 7.7 Hyperbolic Functions 7.8 Relative Rates of Growth Techniques of Integration 8.1 Using Basic Integration Formulas 8.2 Integration by Parts 8.3 Trigonometric Integrals 8.4 Trigonometric Substitutions 8.5 Integration of Rational Functions by Partial Fractions 8.6 Integral Tables and Computer Algebra Systems 8.7 Numerical Integration 8.8 Improper Integrals 8.9 Probability First-Order Differential Equations 9.1 Solutions, Slope Fields, and Euler’s Method 9.2 First-Order Linear Equations 9.3 Applications 9.4 Graphical Solutions of Autonomous Equations 9.5 Systems of Equations and Phase Planes Infinite Sequences and Series 10.1 Sequences 10.2 Infinite Series 10.3 The Integral Test 10.4 Comparison Tests 10.5 Absolute Convergence; The Ratio and Root Tests 10.6 Alternating Series and Conditional Convergence 10.7 Power Series 10.8 Taylor and Maclaurin Series 10.9 Convergence of Taylor Series 10.10 Applications of Taylor Series Parametric Equations and Polar Coordinates 11.1 Parametrizations of Plane Curves 11.2 Calculus with Parametric Curves 11.3 Polar Coordinates 11.4 Graphing Polar Coordinate Equations 11.5 Areas and Lengths in Polar Coordinates 11.6 Conic Sections 11.7 Conics in Polar Coordinates Vectors and the Geometry of Space 12.1 Three-Dimensional Coordinate Systems 12.2 Vectors 12.3 The Dot Product 12.4 The Cross Product 12.5 Lines and Planes in Space 12.6 Cylinders and Quadric Surfaces Vector-Valued Functions and Motion in Space 13.1 Curves in Space and Their Tangents 13.2 Integrals of Vector Functions; Projectile Motion 13.3 Arc Length in Space 13.4 Curvature and Normal Vectors of a Curve 13.5 Tangential and Normal Components of Acceleration 13.6 Velocity and Acceleration in Polar Coordinates Partial Derivatives 14.1 Functions of Several Variables 14.2 Limits and Continuity in Higher Dimensions 14.3 Partial Derivatives 14.4 The Chain Rule 14.5 Directional Derivatives and Gradient Vectors 14.6 Tangent Planes and Differentials 14.7 Extreme Values and Saddle Points 14.8 Lagrange Multipliers 14.9 Taylor’s Formula for Two Variables 14.10 Partial Derivatives with Constrained Variables Multiple Integrals 15.1 Double and Iterated Integrals over Rectangles 15.2 Double Integrals over General Regions 15.3 Area by Double Integration 15.4 Double Integrals in Polar Form 15.5 Triple Integrals in Rectangular Coordinates 15.6 Applications 15.7 Triple Integrals in Cylindrical and Spherical Coordinates 15.8 Substitutions in Multiple Integrals Integrals and Vector Fields 16.1 Line Integrals of Scalar Functions 16.2 Vector Fields and Line Integrals: Work, Circulation, and Flux 16.3 Path Independence, Conservative Fields, and Potential Functions 16.4 Green’s Theorem in the Plane 16.5 Surfaces and Area 16.6 Surface Integrals 16.7 Stokes' Theorem 16.8 The Divergence Theorem and a Unified Theory Second-Order Differential Equations (Online at www.goo.gl/MgDXPY) 17.1 Second-Order Linear Equations 17.2 Nonhomogeneous Linear Equations 17.3 Applications 17.4 Euler Equations 17.5 Power-Series Solutions Appendices Real Numbers and the Real Line Mathematical Induction Lines, Circles, and Parabolas Proofs of Limit Theorems Commonly Occurring Limits Theory of the Real Numbers Complex Numbers The Distributive Law for Vector Cross Products The Mixed Derivative Theorem and the Increment Theorem
£126.66
Pearson Education (US) Thomas Calculus
Book SynopsisAbout our authors Joel Hass received his PhD from the University of California - Berkeley. He is currently a professor of mathematics at the University of California Davis. He has coauthored widely used calculus texts as well as calculus study guides. He is currently on the editorial board of several publications, including the Notices of the American Mathematical Society. He has been a member of the Institute for Advanced Study at Princeton University and of the Mathematical Sciences Research Institute, and he was a Sloan Research Fellow. Hass's current areas of research include the geometry of proteins, 3-dimensional manifolds, applied math, and computational complexity. In his free time Hass enjoys kayaking. Christopher Heil received his PhD from the University of Maryland. He is currently a professor of mathematics at the Georgia Institute of Technology. He is the author of a graduate text on analysis and a number of highly citedTable of Contents1. Functions 1.1 Functions and Their Graphs 1.2 Combining Functions; Shifting and Scaling Graphs 1.3 Trigonometric Functions 1.4 Graphing with Software 1.5 Exponential Functions 1.6 Inverse Functions and Logarithms 2. Limits and Continuity 2.1 Rates of Change and Tangent Lines to Curves 2.2 Limit of a Function and Limit Laws 2.3 The Precise Definition of a Limit 2.4 One-Sided Limits 2.5 Continuity 2.6 Limits Involving Infinity; Asymptotes of Graphs 3. Derivatives 3.1 Tangent Lines and the Derivative at a Point 3.2 The Derivative as a Function 3.3 Differentiation Rules 3.4 The Derivative as a Rate of Change 3.5 Derivatives of Trigonometric Functions 3.6 The Chain Rule 3.7 Implicit Differentiation 3.8 Derivatives of Inverse Functions and Logarithms 3.9 Inverse Trigonometric Functions 3.10 Related Rates 3.11 Linearization and Differentials 4. Applications of Derivatives 4.1 Extreme Values of Functions on Closed Intervals 4.2 The Mean Value Theorem 4.3 Monotonic Functions and the First Derivative Test 4.4 Concavity and Curve Sketching 4.5 Indeterminate Forms and L'Hôpital's Rule 4.6 Applied Optimization 4.7 Newton's Method 4.8 Antiderivatives 5. Integrals 5.1 Area and Estimating with Finite Sums 5.2 Sigma Notation and Limits of Finite Sums 5.3 The Definite Integral 5.4 The Fundamental Theorem of Calculus 5.5 Indefinite Integrals and the Substitution Method 5.6 Definite Integral Substitutions and the Area Between Curves 6. Applications of Definite Integrals 6.1 Volumes Using Cross-Sections 6.2 Volumes Using Cylindrical Shells 6.3 Arc Length 6.4 Areas of Surfaces of Revolution 6.5 Work and Fluid Forces 6.6 Moments and Centers of Mass 7. Integrals and Transcendental Functions 7.1 The Logarithm Defined as an Integral 7.2 Exponential Change and Separable Differential Equations 7.3 Hyperbolic Functions 7.4 Relative Rates of Growth 8. Techniques of Integration 8.1 Using Basic Integration Formulas 8.2 Integration by Parts 8.3 Trigonometric Integrals 8.4 Trigonometric Substitutions 8.5 Integration of Rational Functions by Partial Fractions 8.6 Integral Tables and Computer Algebra Systems 8.7 Numerical Integration 8.8 Improper Integrals 8.9 Probability 9. First-Order Differential Equations 9.1 Solutions, Slope Fields, and Euler's Method 9.2 First-Order Linear Equations 9.3 Applications 9.4 Graphical Solutions of Autonomous Equations 9.5 Systems of Equations and Phase Planes 10. Infinite Sequences and Series 10.1 Sequences 10.2 Infinite Series 10.3 The Integral Test 10.4 Comparison Tests 10.5 Absolute Convergence; The Ratio and Root Tests 10.6 Alternating Series and Conditional Convergence 10.7 Power Series 10.8 Taylor and Maclaurin Series 10.9 Convergence of Taylor Series 10.10 Applications of Taylor Series 11. Parametric Equations and Polar Coordinates 11.1 Parametrizations of Plane Curves 11.2 Calculus with Parametric Curves 11.3 Polar Coordinates 11.4 Graphing Polar Coordinate Equations 11.5 Areas and Lengths in Polar Coordinates 11.6 Conic Sections 11.7 Conics in Polar Coordinates 12. Vectors and the Geometry of Space 12.1 Three-Dimensional Coordinate Systems 12.2 Vectors 12.3 The Dot Product 12.4 The Cross Product 12.5 Lines and Planes in Space 12.6 Cylinders and Quadric Surfaces 13. Vector-Valued Functions and Motion in Space 13.1 Curves in Space and Their Tangents 13.2 Integrals of Vector Functions; Projectile Motion 13.3 Arc Length in Space 13.4 Curvature and Normal Vectors of a Curve 13.5 Tangential and Normal Components of Acceleration 13.6 Velocity and Acceleration in Polar Coordinates 14. Partial Derivatives 14.1 Functions of Several Variables 14.2 Limits and Continuity in Higher Dimensions 14.3 Partial Derivatives 14.4 The Chain Rule 14.5 Directional Derivatives and Gradient Vectors 14.6 Tangent Planes and Differentials 14.7 Extreme Values and Saddle Points 14.8 Lagrange Multipliers 14.9 Taylor's Formula for Two Variables 14.10 Partial Derivatives with Constrained Variables 15. Multiple Integrals 15.1 Double and Iterated Integrals over Rectangles 15.2 Double Integrals over General Regions 15.3 Area by Double Integration 15.4 Double Integrals in Polar Form 15.5 Triple Integrals in Rectangular Coordinates 15.6 Applications 15.7 Triple Integrals in Cylindrical and Spherical Coordinates 15.8 Substitutions in Multiple Integrals 16. Integrals and Vector Fields 16.1 Line Integrals of Scalar Functions 16.2 Vector Fields and Line Integrals: Work, Circulation, and Flux 16.3 Path Independence, Conservative Fields, and Potential Functions 16.4 Green's Theorem in the Plane 16.5 Surfaces and Area 16.6 Surface Integrals 16.7 Stokes' Theorem 16.8 The Divergence Theorem and a Unified Theory 17. Second-Order Differential Equations (Online at www.goo.gl/MgDXPY) 17.1 Second-Order Linear Equations 17.2 Nonhomogeneous Linear Equations 17.3 Applications 17.4 Euler Equations 17.5 Power-Series Solutions Appendices 1. Real Numbers and the Real Line 2. Mathematical Induction 3. Lines, Circles, and Parabolas 4. Proofs of Limit Theorems 5. Commonly Occurring Limits 6. Theory of the Real Numbers 7. Complex Numbers 8. The Distributive Law for Vector Cross Products 9. The Mixed Derivative Theorem and the Increment Theorem
£163.34
Pearson Education (US) Student Solutions Manual for Calculus Its
Book Synopsis
£76.00
Pearson Student Solutions Manual for Thomas Calculus
Book Synopsis
£73.32
Pearson Thomas Calculus Early Transcendentals Books a la
Book Synopsis
£227.99
Pearson Education (US) University Calculus
Book SynopsisTable of ContentsTable of Contents Functions 1.1 Functions and Their Graphs 1.2 Combining Functions; Shifting and Scaling Graphs 1.3 Trigonometric Functions 1.4 Graphing with Software 1.5 Exponential Functions 1.6 Inverse Functions and Logarithms Limits and Continuity 2.1 Rates of Change and Tangent Lines to Curves 2.2 Limit of a Function and Limit Laws 2.3 The Precise Definition of a Limit 2.4 One-Sided Limits 2.5 Continuity 2.6 Limits Involving Infinity; Asymptotes of Graphs Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Derivatives 3.1 Tangent Lines and the Derivative at a Point 3.2 The Derivative as a Function 3.3 Differentiation Rules 3.4 The Derivative as a Rate of Change 3.5 Derivatives of Trigonometric Functions 3.6 The Chain Rule 3.7 Implicit Differentiation 3.8 Derivatives of Inverse Functions and Logarithms 3.9 Inverse Trigonometric Functions 3.10 Related Rates 3.11 Linearization and Differentials Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Applications of Derivatives 4.1 Extreme Values of Functions on Closed Intervals 4.2 The Mean Value Theorem 4.3 Monotonic Functions and the First Derivative Test 4.4 Concavity and Curve Sketching 4.5 Indeterminate Forms and L’Hôpital’s Rule 4.6 Applied Optimization 4.7 Newton’s Method 4.8 Antiderivatives Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Integrals 5.1 Area and Estimating with Finite Sums 5.2 Sigma Notation and Limits of Finite Sums 5.3 The Definite Integral 5.4 The Fundamental Theorem of Calculus 5.5 Indefinite Integrals and the Substitution Method 5.6 Definite Integral Substitutions and the Area Between Curves Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Applications of Definite Integrals 6.1 Volumes Using Cross-Sections 6.2 Volumes Using Cylindrical Shells 6.3 Arc Length 6.4 Areas of Surfaces of Revolution 6.5 Work 6.6 Moments and Centers of Mass Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Integrals and Transcendental Functions 7.1 The Logarithm Defined as an Integral 7.2 Exponential Change and Separable Differential Equations 7.3 Hyperbolic Functions Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Techniques of Integration 8.1 Integration by Parts 8.2 Trigonometric Integrals 8.3 Trigonometric Substitutions 8.4 Integration of Rational Functions by Partial Fractions 8.5 Integral Tables and Computer Algebra Systems 8.6 Numerical Integration 8.7 Improper Integrals Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Infinite Sequences and Series 9.1 Sequences 9.2 Infinite Series 9.3 The Integral Test 9.4 Comparison Tests 9.5 Absolute Convergence; The Ratio and Root Tests 9.6 Alternating Series and Conditional Convergence 9.7 Power Series 9.8 Taylor and Maclaurin Series 9.9 Convergence of Taylor Series 9.10 Applications of Taylor Series Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Parametric Equations and Polar Coordinates 10.1 Parametrizations of Plane Curves 10.2 Calculus with Parametric Curves 10.3 Polar Coordinates 10.4 Graphing Polar Coordinate Equations 10.5 Areas and Lengths in Polar Coordinates Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Vectors and the Geometry of Space 11.1 Three-Dimensional Coordinate Systems 11.2 Vectors 11.3 The Dot Product 11.4 The Cross Product 11.5 Lines and Planes in Space 11.6 Cylinders and Quadric Surfaces Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Vector-Valued Functions and Motion in Space 12.1 Curves in Space and Their Tangents 12.2 Integrals of Vector Functions; Projectile Motion 12.3 Arc Length in Space 12.4 Curvature and Normal Vectors of a Curve 12.5 Tangential and Normal Components of Acceleration 12.6 Velocity and Acceleration in Polar Coordinates Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Partial Derivatives 13.1 Functions of Several Variables 13.2 Limits and Continuity in Higher Dimensions 13.3 Partial Derivatives 13.4 The Chain Rule 13.5 Directional Derivatives and Gradient Vectors 13.6 Tangent Planes and Differentials 13.7 Extreme Values and Saddle Points 13.8 Lagrange Multiplier Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Multiple Integrals 14.1 Double and Iterated Integrals over Rectangles 14.2 Double Integrals over General Regions 14.3 Area by Double Integration 14.4 Double Integrals in Polar Form 14.5 Triple Integrals in Rectangular Coordinates 14.6 Applications 14.7 Triple Integrals in Cylindrical and Spherical Coordinates 14.8 Substitutions in Multiple Integrals Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Integrals and Vector Fields 15.1 Line Integrals of Scalar Functions 15.2 Vector Fields and Line Integrals: Work, Circulation, and Flux 15.3 Path Independence, Conservative Fields, and Potential Functions 15.4 Green’s Theorem in the Plane 15.5 Surfaces and Area 15.6 Surface Integrals 15.7 Stokes’ Theorem 15.8 The Divergence Theorem and a Unified Theory Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises First-Order Differential Equations (online at bit.ly/2pzYlEq) 16.1 Solutions, Slope Fields, and Euler’s Method 16.2 First-Order Linear Equations 16.3 Applications 16.4 Graphical Solutions of Autonomous Equations 16.5 Systems of Equations and Phase Planes Second-Order Differential Equations (online at bit.ly/2IHCJyE) 17.1 Second-Order Linear Equations 17.2 Non-homogeneous Linear Equations 17.3 Applications 17.4 Euler Equations 17.5 Power-Series Solutions Appendix A.1 Real Numbers and the Real Line A.2 Mathematical Induction A.3 Lines and Circles A.4 Conic Sections A.5 Proofs of Limit Theorems A.6 Commonly Occurring Limits A.7 Theory of the Real Numbers A.8 Complex Numbers A.9 The Distributive Law for Vector Cross Products A.10 The Mixed Derivative Theorem and the increment Theorem Additional Topics (online at bit.ly/2IDDl8w) B.1 Relative Rates of Growth B.2 Probability B.3 Conics in Polar Coordinates B.4 Taylor’s Formula for Two Variables B.5 Partial Derivatives with Constrained Variables Odd Answers
£215.32
Pearson Education (US) Student Solutions Manual for Calculus and Its
Book SynopsisMarvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana University Purdue University Indianapolis, and is now professor emeritus of mathematics education. Professor Bittinger has authored over 250 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. His hobbies include hiking in Utah, baseball, golf, and bowling. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled Baseball and Mathematics. In addition, he also has an interest in philosophy and theology,Table of ContentsTable of Contents Preface Prerequisite Skills Diagnostic Test Functions, Graphs, and Models R.1 Graphs and Equations R.2 Functions and Models R.3 Finding Domain and Range R.4 Slope and Linear Functions R.5 Nonlinear Functions and Models R.6 Exponential and Logarithmic Functions R.7 Mathematical Modeling and Curve Fitting Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application: Average Price of a Movie Ticket Differentiation 1.1 Limits: A Numerical and Graphical Approach 1.2 Algebraic Limits and Continuity 1.3 Average Rates of Change 1.4 Differentiation Using Limits and Difference Quotients 1.5 Leibniz Notation and the Power and Sum—Difference Rules 1.6 The Product and Quotient Rules 1.7 The Chain Rule 1.8 Higher-Order Derivatives Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application: Path of a Baseball: The Tale of the Tape Exponential and Logarithmic Functions 2.1 Exponential and Logarithmic Functions of the Natural Base, e 2.2 Derivatives of Exponential (Base-e) Functions 2.3 Derivatives of Natural Logarithmic Functions 2.4 Applications: Uninhibited and Limited Growth Models 2.5 Applications: Exponential Decay231 2.6 The Derivatives of ax and loga x Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application: The Business of Motion Picture Revenue and DVD Release Applications of Differentiation 3.1 Using First Derivatives to Classify Maximum and Minimum Values and Sketch Graphs 3.2 Using Second Derivatives to Classify Maximum and Minimum Values and Sketch Graphs 3.3 Graph Sketching: Asymptotes and Rational Functions 3.4 Optimization: Finding Absolute Maximum and Minimum Values 3.5 Optimization: Business, Economics, and General Applications 3.6 Marginals, Differentials, and Linearization 3.7 Elasticity of Demand 3.8 Implicit Differentiation and Logarithmic Differentiation 3.9 Related Rates Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application: Maximum Sustainable Harvest Integration 4.1 Antidifferentiation 4.2 Antiderivatives as Areas 4.3 Area and Definite Integrals 4.4 Properties of Definite Integrals: Additive Property, Average Value, and Moving Average 4.5 Integration Techniques: Substitution 4.6 Integration Techniques: Integration by Parts 4.7 Numerical Integration Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application: Business and Economics: Distribution of Wealth Applications of Integration 5.1 Consumer and Producer Surplus; Price Floors, Price Ceilings, and Deadweight Loss 5.2 Integrating Growth and Decay Models 5.3 Improper Integrals 5.4 Probability 5.5 Probability: Expected Value; the Normal Distribution 5.6 Volume 5.7 Differential Equations Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application: Curve Fitting and Volumes of Containers Functions of Several Variables 6.1 Functions of Several Variables 6.2 Partial Derivatives 6.3 Maximum—Minimum Problems 6.4 An Application: The Least-Squares Technique 6.5 Constrained Optimization: Lagrange Multipliers and the Extreme-Value Theorem 6.6 Double Integrals Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application: Minimizing Employees’ Travel Time in a Building Trigonometric Functions 7.1 Basics of Trigonometry 7.2 Derivatives of Trigonometric Functions 7.3 Integration of Trigonometric Functions 7.4 Inverse Trigonometric Functions and Applications Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application Differential Equations 8.1 Direction Fields, Autonomic Forms, and Population Models 8.2 Applications: Inhibited Growth Models 8.3 First-Order Linear Differential Equations 8.4 Higher-Order Differential Equations and a Trigonometry Connection Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application Sequences and Series 9.1 Arithmetic Sequences and Series 9.2 Geometric Sequences and Series 9.3 Simple and Compound Interest 9.4 Annuities and Amortization 9.5 Power Series and Linearization 9.6 Taylor Series and a Trigonometry Connection Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application Probability Distributions 10.1 A Review of Sets 10.2 Theoretical Probability 10.3 Discrete Probability Distributions 10.4 Continuous Probability Distributions: Mean, Variance, and Standard Deviation Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application Systems and Matrices (online only) 11.1 Systems of Linear Equations 11.2 Gaussian Elimination 11.3 Matrices and Row Operations 11.4 Matrix Arithmetic: Equality, Addition, and Scalar Multiples 11.5 Matrix Multiplication, Multiplicative Identities, and Inverses 11.6 Determinants and Cramer’s Rule 11.7 Systems of Linear Inequalities and Linear Programming Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application Combinatorics and Probability (online only) 12.1 Compound Events and Odds 12.2 Combinatorics: The Multiplication Principle and Factorial Notation 12.3 Permutations and Distinguishable Arrangements 12.4 Combinations and the Binomial Theorem 12.5 Conditional Probability and the Hypergeometric Probability Distribution Model 12.6 Independent Events, Bernoulli Trials, and the Binomial Probability Model 12.7 Bayes Theorem Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application Cumulative Review Appendix A: Review of Basic Algebra Appendix B: Indeterminate Forms and l’Hôpital’s Rule Appendix C: Regression and Microsoft Excel Appendix D: Areas for a Standard Normal Distribution Appendix E: Using Tables of Integration Formulas Answers Index of Applications Index
£63.20
Pearson Education (US) Student Solutions Manual for University Calculus
Book SynopsisThis manual provides detailed solutions to odd-numbered exercises in the text. 0135166632 / 0135166632 STUDENT SOLUTIONS MANUAL MULTIVARIABLE FOR UNIVERSITY CALCULUS, EARLY TRANSCENDENTALS, 4/e Table of ContentsTable of Contents Functions 1.1 Functions and Their Graphs 1.2 Combining Functions; Shifting and Scaling Graphs 1.3 Trigonometric Functions 1.4 Graphing with Software 1.5 Exponential Functions 1.6 Inverse Functions and Logarithms Limits and Continuity 2.1 Rates of Change and Tangent Lines to Curves 2.2 Limit of a Function and Limit Laws 2.3 The Precise Definition of a Limit 2.4 One-Sided Limits 2.5 Continuity 2.6 Limits Involving Infinity; Asymptotes of Graphs Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Derivatives 3.1 Tangent Lines and the Derivative at a Point 3.2 The Derivative as a Function 3.3 Differentiation Rules 3.4 The Derivative as a Rate of Change 3.5 Derivatives of Trigonometric Functions 3.6 The Chain Rule 3.7 Implicit Differentiation 3.8 Derivatives of Inverse Functions and Logarithms 3.9 Inverse Trigonometric Functions 3.10 Related Rates 3.11 Linearization and Differentials Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Applications of Derivatives 4.1 Extreme Values of Functions on Closed Intervals 4.2 The Mean Value Theorem 4.3 Monotonic Functions and the First Derivative Test 4.4 Concavity and Curve Sketching 4.5 Indeterminate Forms and L’Hôpital’s Rule 4.6 Applied Optimization 4.7 Newton’s Method 4.8 Antiderivatives Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Integrals 5.1 Area and Estimating with Finite Sums 5.2 Sigma Notation and Limits of Finite Sums 5.3 The Definite Integral 5.4 The Fundamental Theorem of Calculus 5.5 Indefinite Integrals and the Substitution Method 5.6 Definite Integral Substitutions and the Area Between Curves Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Applications of Definite Integrals 6.1 Volumes Using Cross-Sections 6.2 Volumes Using Cylindrical Shells 6.3 Arc Length 6.4 Areas of Surfaces of Revolution 6.5 Work 6.6 Moments and Centers of Mass Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Integrals and Transcendental Functions 7.1 The Logarithm Defined as an Integral 7.2 Exponential Change and Separable Differential Equations 7.3 Hyperbolic Functions Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Techniques of Integration 8.1 Integration by Parts 8.2 Trigonometric Integrals 8.3 Trigonometric Substitutions 8.4 Integration of Rational Functions by Partial Fractions 8.5 Integral Tables and Computer Algebra Systems 8.6 Numerical Integration 8.7 Improper Integrals Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Infinite Sequences and Series 9.1 Sequences 9.2 Infinite Series 9.3 The Integral Test 9.4 Comparison Tests 9.5 Absolute Convergence; The Ratio and Root Tests 9.6 Alternating Series and Conditional Convergence 9.7 Power Series 9.8 Taylor and Maclaurin Series 9.9 Convergence of Taylor Series 9.10 Applications of Taylor Series Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Parametric Equations and Polar Coordinates 10.1 Parametrizations of Plane Curves 10.2 Calculus with Parametric Curves 10.3 Polar Coordinates 10.4 Graphing Polar Coordinate Equations 10.5 Areas and Lengths in Polar Coordinates Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Vectors and the Geometry of Space 11.1 Three-Dimensional Coordinate Systems 11.2 Vectors 11.3 The Dot Product 11.4 The Cross Product 11.5 Lines and Planes in Space 11.6 Cylinders and Quadric Surfaces Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Vector-Valued Functions and Motion in Space 12.1 Curves in Space and Their Tangents 12.2 Integrals of Vector Functions; Projectile Motion 12.3 Arc Length in Space 12.4 Curvature and Normal Vectors of a Curve 12.5 Tangential and Normal Components of Acceleration 12.6 Velocity and Acceleration in Polar Coordinates Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Partial Derivatives 13.1 Functions of Several Variables 13.2 Limits and Continuity in Higher Dimensions 13.3 Partial Derivatives 13.4 The Chain Rule 13.5 Directional Derivatives and Gradient Vectors 13.6 Tangent Planes and Differentials 13.7 Extreme Values and Saddle Points 13.8 Lagrange Multiplier Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Multiple Integrals 14.1 Double and Iterated Integrals over Rectangles 14.2 Double Integrals over General Regions 14.3 Area by Double Integration 14.4 Double Integrals in Polar Form 14.5 Triple Integrals in Rectangular Coordinates 14.6 Applications 14.7 Triple Integrals in Cylindrical and Spherical Coordinates 14.8 Substitutions in Multiple Integrals Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Integrals and Vector Fields 15.1 Line Integrals of Scalar Functions 15.2 Vector Fields and Line Integrals: Work, Circulation, and Flux 15.3 Path Independence, Conservative Fields, and Potential Functions 15.4 Green’s Theorem in the Plane 15.5 Surfaces and Area 15.6 Surface Integrals 15.7 Stokes’ Theorem 15.8 The Divergence Theorem and a Unified Theory Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises First-Order Differential Equations (online at bit.ly/2pzYlEq) 16.1 Solutions, Slope Fields, and Euler’s Method 16.2 First-Order Linear Equations 16.3 Applications 16.4 Graphical Solutions of Autonomous Equations 16.5 Systems of Equations and Phase Planes Second-Order Differential Equations (online at bit.ly/2IHCJyE) 17.1 Second-Order Linear Equations 17.2 Non-homogeneous Linear Equations 17.3 Applications 17.4 Euler Equations 17.5 Power-Series Solutions Appendix A.1 Real Numbers and the Real Line A.2 Mathematical Induction A.3 Lines and Circles A.4 Conic Sections A.5 Proofs of Limit Theorems A.6 Commonly Occurring Limits A.7 Theory of the Real Numbers A.8 Complex Numbers A.9 The Distributive Law for Vector Cross Products A.10 The Mixed Derivative Theorem and the increment Theorem Additional Topics (online at bit.ly/2IDDl8w) B.1 Relative Rates of Growth B.2 Probability B.3 Conics in Polar Coordinates B.4 Taylor’s Formula for Two Variables B.5 Partial Derivatives with Constrained Variables Odd Answers
£59.44
Pearson Education (US) University Calculus
Book SynopsisAbout our authors Joel Hass received his PhD from the University of California - Berkeley. He is currently a professor of mathematics at the University of California - Davis. He has coauthored 6 widely used calculus texts as well as 2 calculus study guides. He is currently on the editorial board of?Geometriae Dedicata and Media-Enhanced Mathematics. He has been a member of the Institute for Advanced Study at Princeton University and of the Mathematical Sciences Research Institute, and he was a Sloan Research Fellow. Hass's current areas of research include the geometry of proteins, 3-dimensional manifolds, applied math and computational complexity. In his free time, Hass enjoys kayaking. Christopher Heil received his PhD from the University of Maryland. He is currently a professor of mathematics at the Georgia Institute of Technology. He is the author of a graduate text on analysis and a number of highly cited research survey articleTable of ContentsTable of Contents Functions 1.1 Functions and Their Graphs 1.2 Combining Functions; Shifting and Scaling Graphs 1.3 Trigonometric Functions 1.4 Graphing with Software 1.5 Exponential Functions 1.6 Inverse Functions and Logarithms Limits and Continuity 2.1 Rates of Change and Tangent Lines to Curves 2.2 Limit of a Function and Limit Laws 2.3 The Precise Definition of a Limit 2.4 One-Sided Limits 2.5 Continuity 2.6 Limits Involving Infinity; Asymptotes of Graphs Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Derivatives 3.1 Tangent Lines and the Derivative at a Point 3.2 The Derivative as a Function 3.3 Differentiation Rules 3.4 The Derivative as a Rate of Change 3.5 Derivatives of Trigonometric Functions 3.6 The Chain Rule 3.7 Implicit Differentiation 3.8 Derivatives of Inverse Functions and Logarithms 3.9 Inverse Trigonometric Functions 3.10 Related Rates 3.11 Linearization and Differentials Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Applications of Derivatives 4.1 Extreme Values of Functions on Closed Intervals 4.2 The Mean Value Theorem 4.3 Monotonic Functions and the First Derivative Test 4.4 Concavity and Curve Sketching 4.5 Indeterminate Forms and L’Hôpital’s Rule 4.6 Applied Optimization 4.7 Newton’s Method 4.8 Antiderivatives Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Integrals 5.1 Area and Estimating with Finite Sums 5.2 Sigma Notation and Limits of Finite Sums 5.3 The Definite Integral 5.4 The Fundamental Theorem of Calculus 5.5 Indefinite Integrals and the Substitution Method 5.6 Definite Integral Substitutions and the Area Between Curves Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Applications of Definite Integrals 6.1 Volumes Using Cross-Sections 6.2 Volumes Using Cylindrical Shells 6.3 Arc Length 6.4 Areas of Surfaces of Revolution 6.5 Work 6.6 Moments and Centers of Mass Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Integrals and Transcendental Functions 7.1 The Logarithm Defined as an Integral 7.2 Exponential Change and Separable Differential Equations 7.3 Hyperbolic Functions Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Techniques of Integration 8.1 Integration by Parts 8.2 Trigonometric Integrals 8.3 Trigonometric Substitutions 8.4 Integration of Rational Functions by Partial Fractions 8.5 Integral Tables and Computer Algebra Systems 8.6 Numerical Integration 8.7 Improper Integrals Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Infinite Sequences and Series 9.1 Sequences 9.2 Infinite Series 9.3 The Integral Test 9.4 Comparison Tests 9.5 Absolute Convergence; The Ratio and Root Tests 9.6 Alternating Series and Conditional Convergence 9.7 Power Series 9.8 Taylor and Maclaurin Series 9.9 Convergence of Taylor Series 9.10 Applications of Taylor Series Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Parametric Equations and Polar Coordinates 10.1 Parametrizations of Plane Curves 10.2 Calculus with Parametric Curves 10.3 Polar Coordinates 10.4 Graphing Polar Coordinate Equations 10.5 Areas and Lengths in Polar Coordinates Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Vectors and the Geometry of Space 11.1 Three-Dimensional Coordinate Systems 11.2 Vectors 11.3 The Dot Product 11.4 The Cross Product 11.5 Lines and Planes in Space 11.6 Cylinders and Quadric Surfaces Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Vector-Valued Functions and Motion in Space 12.1 Curves in Space and Their Tangents 12.2 Integrals of Vector Functions; Projectile Motion 12.3 Arc Length in Space 12.4 Curvature and Normal Vectors of a Curve 12.5 Tangential and Normal Components of Acceleration 12.6 Velocity and Acceleration in Polar Coordinates Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Partial Derivatives 13.1 Functions of Several Variables 13.2 Limits and Continuity in Higher Dimensions 13.3 Partial Derivatives 13.4 The Chain Rule 13.5 Directional Derivatives and Gradient Vectors 13.6 Tangent Planes and Differentials 13.7 Extreme Values and Saddle Points 13.8 Lagrange Multiplier Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Multiple Integrals 14.1 Double and Iterated Integrals over Rectangles 14.2 Double Integrals over General Regions 14.3 Area by Double Integration 14.4 Double Integrals in Polar Form 14.5 Triple Integrals in Rectangular Coordinates 14.6 Applications 14.7 Triple Integrals in Cylindrical and Spherical Coordinates 14.8 Substitutions in Multiple Integrals Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Integrals and Vector Fields 15.1 Line Integrals of Scalar Functions 15.2 Vector Fields and Line Integrals: Work, Circulation, and Flux 15.3 Path Independence, Conservative Fields, and Potential Functions 15.4 Green’s Theorem in the Plane 15.5 Surfaces and Area 15.6 Surface Integrals 15.7 Stokes’ Theorem 15.8 The Divergence Theorem and a Unified Theory Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises First-Order Differential Equations (online at bit.ly/2pzYlEq) 16.1 Solutions, Slope Fields, and Euler’s Method 16.2 First-Order Linear Equations 16.3 Applications 16.4 Graphical Solutions of Autonomous Equations 16.5 Systems of Equations and Phase Planes Second-Order Differential Equations (online at bit.ly/2IHCJyE) 17.1 Second-Order Linear Equations 17.2 Non-homogeneous Linear Equations 17.3 Applications 17.4 Euler Equations 17.5 Power-Series Solutions Appendix A.1 Real Numbers and the Real Line A.2 Mathematical Induction A.3 Lines and Circles A.4 Conic Sections A.5 Proofs of Limit Theorems A.6 Commonly Occurring Limits A.7 Theory of the Real Numbers A.8 Complex Numbers A.9 The Distributive Law for Vector Cross Products A.10 The Mixed Derivative Theorem and the increment Theorem Additional Topics (online at bit.ly/2IDDl8w) B.1 Relative Rates of Growth B.2 Probability B.3 Conics in Polar Coordinates B.4 Taylor’s Formula for Two Variables B.5 Partial Derivatives with Constrained Variables Odd Answers
£156.85
Pearson Education (US) Student Solutions Manual for University Calculus
Book SynopsisThis manual provides detailed solutions to odd-numbered exercises in the text. 0135166136 / 9780135166130 STUDENT SOLUTIONS MANUAL SINGLE VARIABLE FOR UNIVERSITY CALCULUS: EARLY TRANSCENDENTALS, 4/e Table of ContentsTable of Contents Functions 1.1 Functions and Their Graphs 1.2 Combining Functions; Shifting and Scaling Graphs 1.3 Trigonometric Functions 1.4 Graphing with Software 1.5 Exponential Functions 1.6 Inverse Functions and Logarithms Limits and Continuity 2.1 Rates of Change and Tangent Lines to Curves 2.2 Limit of a Function and Limit Laws 2.3 The Precise Definition of a Limit 2.4 One-Sided Limits 2.5 Continuity 2.6 Limits Involving Infinity; Asymptotes of Graphs Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Derivatives 3.1 Tangent Lines and the Derivative at a Point 3.2 The Derivative as a Function 3.3 Differentiation Rules 3.4 The Derivative as a Rate of Change 3.5 Derivatives of Trigonometric Functions 3.6 The Chain Rule 3.7 Implicit Differentiation 3.8 Derivatives of Inverse Functions and Logarithms 3.9 Inverse Trigonometric Functions 3.10 Related Rates 3.11 Linearization and Differentials Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Applications of Derivatives 4.1 Extreme Values of Functions on Closed Intervals 4.2 The Mean Value Theorem 4.3 Monotonic Functions and the First Derivative Test 4.4 Concavity and Curve Sketching 4.5 Indeterminate Forms and L’Hôpital’s Rule 4.6 Applied Optimization 4.7 Newton’s Method 4.8 Antiderivatives Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Integrals 5.1 Area and Estimating with Finite Sums 5.2 Sigma Notation and Limits of Finite Sums 5.3 The Definite Integral 5.4 The Fundamental Theorem of Calculus 5.5 Indefinite Integrals and the Substitution Method 5.6 Definite Integral Substitutions and the Area Between Curves Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Applications of Definite Integrals 6.1 Volumes Using Cross-Sections 6.2 Volumes Using Cylindrical Shells 6.3 Arc Length 6.4 Areas of Surfaces of Revolution 6.5 Work 6.6 Moments and Centers of Mass Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Integrals and Transcendental Functions 7.1 The Logarithm Defined as an Integral 7.2 Exponential Change and Separable Differential Equations 7.3 Hyperbolic Functions Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Techniques of Integration 8.1 Integration by Parts 8.2 Trigonometric Integrals 8.3 Trigonometric Substitutions 8.4 Integration of Rational Functions by Partial Fractions 8.5 Integral Tables and Computer Algebra Systems 8.6 Numerical Integration 8.7 Improper Integrals Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Infinite Sequences and Series 9.1 Sequences 9.2 Infinite Series 9.3 The Integral Test 9.4 Comparison Tests 9.5 Absolute Convergence; The Ratio and Root Tests 9.6 Alternating Series and Conditional Convergence 9.7 Power Series 9.8 Taylor and Maclaurin Series 9.9 Convergence of Taylor Series 9.10 Applications of Taylor Series Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Parametric Equations and Polar Coordinates 10.1 Parametrizations of Plane Curves 10.2 Calculus with Parametric Curves 10.3 Polar Coordinates 10.4 Graphing Polar Coordinate Equations 10.5 Areas and Lengths in Polar Coordinates Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Vectors and the Geometry of Space 11.1 Three-Dimensional Coordinate Systems 11.2 Vectors 11.3 The Dot Product 11.4 The Cross Product 11.5 Lines and Planes in Space 11.6 Cylinders and Quadric Surfaces Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Vector-Valued Functions and Motion in Space 12.1 Curves in Space and Their Tangents 12.2 Integrals of Vector Functions; Projectile Motion 12.3 Arc Length in Space 12.4 Curvature and Normal Vectors of a Curve 12.5 Tangential and Normal Components of Acceleration 12.6 Velocity and Acceleration in Polar Coordinates Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Partial Derivatives 13.1 Functions of Several Variables 13.2 Limits and Continuity in Higher Dimensions 13.3 Partial Derivatives 13.4 The Chain Rule 13.5 Directional Derivatives and Gradient Vectors 13.6 Tangent Planes and Differentials 13.7 Extreme Values and Saddle Points 13.8 Lagrange Multiplier Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Multiple Integrals 14.1 Double and Iterated Integrals over Rectangles 14.2 Double Integrals over General Regions 14.3 Area by Double Integration 14.4 Double Integrals in Polar Form 14.5 Triple Integrals in Rectangular Coordinates 14.6 Applications 14.7 Triple Integrals in Cylindrical and Spherical Coordinates 14.8 Substitutions in Multiple Integrals Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises Integrals and Vector Fields 15.1 Line Integrals of Scalar Functions 15.2 Vector Fields and Line Integrals: Work, Circulation, and Flux 15.3 Path Independence, Conservative Fields, and Potential Functions 15.4 Green’s Theorem in the Plane 15.5 Surfaces and Area 15.6 Surface Integrals 15.7 Stokes’ Theorem 15.8 The Divergence Theorem and a Unified Theory Questions to Guide Your Review Practice Exercises Additional and Advanced Exercises First-Order Differential Equations (online at bit.ly/2pzYlEq) 16.1 Solutions, Slope Fields, and Euler’s Method 16.2 First-Order Linear Equations 16.3 Applications 16.4 Graphical Solutions of Autonomous Equations 16.5 Systems of Equations and Phase Planes Second-Order Differential Equations (online at bit.ly/2IHCJyE) 17.1 Second-Order Linear Equations 17.2 Non-homogeneous Linear Equations 17.3 Applications 17.4 Euler Equations 17.5 Power-Series Solutions Appendix A.1 Real Numbers and the Real Line A.2 Mathematical Induction A.3 Lines and Circles A.4 Conic Sections A.5 Proofs of Limit Theorems A.6 Commonly Occurring Limits A.7 Theory of the Real Numbers A.8 Complex Numbers A.9 The Distributive Law for Vector Cross Products A.10 The Mixed Derivative Theorem and the increment Theorem Additional Topics (online at bit.ly/2IDDl8w) B.1 Relative Rates of Growth B.2 Probability B.3 Conics in Polar Coordinates B.4 Taylor’s Formula for Two Variables B.5 Partial Derivatives with Constrained Variables Odd Answers
£85.29
Oxford University Press Calculus Set Free Infinitesimals to the Rescue
Book SynopsisCalculus Set Free: Infinitesimals to the Rescue is a single-variable calculus textbook that incorporates the use of infinitesimal methods.Trade ReviewCalculus Set Free is a well-written and self-contained text which offers a novel and mathematically rigorous approach to the topics typically present in Calculus 1 and 2. The text is largely successful in what it sets out to accomplish, and teachers interested in offering an introduction to Calculus built on an alternative theoretical approach should consider this text. * John Ross, MAA Reviews *Table of ContentsReview 1: Hyperreals, Limits, and Continuity 2: Derivatives 3: Applications of the Derivative 4: Integration 5: Transcendental Functions 6: Applications of Integration 7: Techniques of Integration 8: Alternate Representations: Parametric and Polar Curves 9: Additional Applications of Integration 10: Sequences and Series
£148.74
Pearson Education (US) Student Solutions Manual for Differential
Book SynopsisC. Henry Edwards is emeritus professor of mathematics at the University of Georgia. He earned his Ph.D. at the University of Tennessee in 1960, and retired after 40 years of classroom teaching (including calculus or differential equations almost every term) at the universities of Tennessee, Wisconsin, and Georgia, with a brief interlude at the Institute for Advanced Study (Princeton) as an Alfred P. Sloan Research Fellow. He has received numerous teaching awards, including the University of Georgia's honoratus medal in 1983 (for sustained excellence in honors teaching), its Josiah Meigs award in 1991 (the institution's highest award for teaching), and the 1997 statewide Georgia Regents award for research university faculty teaching excellence. His scholarly career has ranged from research and dissertation direction in topology to the history of mathematics to computing and technology in the teaching and applications of mathematics. In addition to beinTable of Contents1. First-Order Differential Equations 1.1 Differential Equations and Mathematical Models 1.2 Integrals as General and Particular Solutions 1.3 Slope Fields and Solution Curves 1.4 Separable Equations and Applications 1.5 Linear First-Order Equations 1.6 Substitution Methods and Exact Equations 2. Mathematical Models and Numerical Methods 2.1 Population Models 2.2 Equilibrium Solutions and Stability 2.3 Acceleration—Velocity Models 2.4 Numerical Approximation: Euler’s Method 2.5 A Closer Look at the Euler Method 2.6 The Runge—Kutta Method 3. Linear Equations of Higher Order 3.1 Introduction: Second-Order Linear Equations 3.2 General Solutions of Linear Equations 3.3 Homogeneous Equations with Constant Coefficients 3.4 Mechanical Vibrations 3.5 Nonhomogeneous Equations and Undetermined Coefficients 3.6 Forced Oscillations and Resonance 3.7 Electrical Circuits 3.8 Endpoint Problems and Eigenvalues 4. Introduction to Systems of Differential Equations 4.1 First-Order Systems and Applications 4.2 The Method of Elimination 4.3 Numerical Methods for Systems 5. Linear Systems of Differential Equations 5.1 Matrices and Linear Systems 5.2 The Eigenvalue Method for Homogeneous Systems 5.3 A Gallery of Solution Curves of Linear Systems 5.4 Second-Order Systems and Mechanical Applications 5.5 Multiple Eigenvalue Solutions 5.6 Matrix Exponentials and Linear Systems 5.7 Nonhomogeneous Linear Systems 6. Nonlinear Systems and Phenomena 6.1 Stability and the Phase Plane 6.2 Linear and Almost Linear Systems 6.3 Ecological Models: Predators and Competitors 6.4 Nonlinear Mechanical Systems 6.5 Chaos in Dynamical Systems 7. Laplace Transform Methods 7.1 Laplace Transforms and Inverse Transforms 7.2 Transformation of Initial Value Problems 7.3 Translation and Partial Fractions 7.4 Derivatives, Integrals, and Products of Transforms 7.5 Periodic and Piecewise Continuous Input Functions 7.6 Impulses and Delta Functions
£65.60
Cengage Learning Single Variable Calculus Early Transcendentals
Book Synopsis
£281.70
Cengage Learning Single Variable Calculus
Book Synopsis
£999.99
Cengage Learning Multivariable Calculus
Book Synopsis
£281.70
Cengage Learning, Inc Student Solutions Manual Chapters 1216 for
Book Synopsis
£122.90
Cengage Learning Calculus
Book Synopsis
£297.35
Cengage Learning, Inc Calculus
Book Synopsis
£281.70
Cengage Learning, Inc Calculus of a Single Variable
Book Synopsis
£281.70
Dover Publications Inc. Infinite Series Dover Books on Mathematics
Book SynopsisText for advanced undergraduate and graduate students examines Taylor series, Fourier series, uniform convergence, power series, and real analytic functions. Appendix covers set and sequence operations and continuous functions. 1962 edition.
£12.49
Cengage Learning, Inc Student Solutions Manual Chapters 813 for
Book Synopsis
£104.80
Cengage Learning, Inc Study Guide for Stewarts Single Variable Calculus
Book Synopsis
£139.28
Luban Press Advanced Analytic Methods in Applied Mathematics
Book Synopsis
£81.70
Wiley Calculus I A Guided Inquiry
Book Synopsis
£40.85
John Wiley & Sons Inc Calculus
Book SynopsisTable of Contents1 Foundation For Calculus: Functions and Limits 1 1.1 Functions and Change 2 1.2 Exponential Functions 14 1.3 New Functions From Old 26 1.4 Logarithmic Functions 34 1.5 Trigonometric Functions 42 1.6 Powers, Polynomials, and Rational Functions 53 1.7 Introduction To Limits and Continuity 62 1.8 Extending The Idea of A Limit 71 1.9 Further Limit Calculations Using Algebra 80 1.10 Preview of The Formal Definition of A Limit Online 2 Key Concept: The Derivative 87 2.1 How Do We Measure Speed? 88 2.2 The Derivative At A Point 96 2.3 The Derivative Function 105 2.4 Interpretations of The Derivative 113 2.5 The Second Derivative 121 2.6 Differentiability 130 3 Short-Cuts To Differentiation 135 3.1 Powers and Polynomials 136 3.2 The Exponential Function 146 3.3 The Product and Quotient Rules 151 3.4 The Chain Rule 158 3.5 The Trigonometric Functions 165 3.6 The Chain Rule and Inverse Functions 171 3.7 Implicit Functions 178 3.8 Hyperbolic Functions 181 3.9 Linear Approximation and The Derivative 185 3.10 Theorems About Differentiable Functions 193 4 Using The Derivative 199 4.1 Using First and Second Derivatives 200 4.2 Optimization 211 4.3 Optimization and Modeling 220 4.4 Families of Functions and Modeling 234 4.5 Applications To Marginality 244 4.6 Rates and Related Rates 253 4.7 L’hopital’s Rule, Growth, and Dominance 264 4.8 Parametric Equations 271 5 Key Concept: The Definite Integral 285 5.1 How Do We Measure Distance Traveled? 286 5.2 The Definite Integral 298 5.3 The Fundamental Theorem and Interpretations 308 5.4 Theorems About Definite Integrals 319 6 Constructing Antiderivatives 333 6.1 Antiderivatives Graphically and Numerically 334 6.2 Constructing Antiderivatives Analytically 341 6.3 Differential Equations and Motion 348 6.4 Second Fundamental Theorem of Calculus 355 7 Integration 361 7.1 Integration By Substitution 362 7.2 Integration By Parts 373 7.3 Tables of Integrals 380 7.4 Algebraic Identities and Trigonometric Substitutions 386 7.5 Numerical Methods For Definite Integrals 398 7.6 Improper Integrals 408 7.7 Comparison of Improper Integrals 417 8 Using The Definite Integral 425 8.1 Areas and Volumes 426 8.2 Applications To Geometry 436 8.3 Area and Arc Length In Polar Coordinates 447 8.4 Density and Center of Mass 456 8.5 Applications To Physics 467 8.6 Applications To Economics 478 8.7 Distribution Functions 489 8.8 Probability, Mean, and Median 497 9 Sequences and Series 507 9.1 Sequences 508 9.2 Geometric Series 514 9.3 Convergence of Series 522 9.4 Tests For Convergence 529 9.5 Power Series and Interval of Convergence 539 10 Approximating Functions Using Series 549 10.1 Taylor Polynomials 550 10.2 Taylor Series 560 10.3 Finding and Using Taylor Series 567 10.4 The Error In Taylor Polynomial Approximations 577 10.5 Fourier Series 584 11 Differential Equations 599 11.1 What is a Differential Equation? 600 11.2 Slope Fields 605 11.3 Euler’s Method 614 11.4 Separation of Variables 619 11.5 Growth and Decay 625 11.6 Applications and Modeling 637 11.7 The Logistic Model 647 11.8 Systems of Differential Equations 657 11.9 Analyzing The Phase Plane 667 11.10 Second-Order Differential Equations: Oscillations 674 11.11 Linear Second-Order Differential Equations 682 12 Functions of Several Variables 693 12.1 Functions of Two Variables 694 12.2 Graphs and Surfaces 702 12.3 Contour Diagrams 711 12.4 Linear Functions 725 12.5 Functions of Three Variables 732 12.6 Limits and Continuity 739 13 A Fundamental Tool: Vectors 745 13.1 Displacement Vectors 746 13.2 Vectors In General 755 13.3 The Dot Product 763 13.4 The Cross Product 774 14 Differentiating Functions of Several Variables 785 14.1 The Partial Derivative 786 14.2 Computing Partial Derivatives Algebraically 795 14.3 Local Linearity and The Differential 800 14.4 Gradients and Directional Derivatives In The Plane 809 14.5 Gradients and Directional Derivatives In Space 819 14.6 The Chain Rule 827 14.7 Second-Order Partial Derivatives 838 14.8 Differentiability 847 15 Optimization: Local and Global Extrema 855 15.1 Critical Points: Local Extrema and Saddle Points 856 15.2 Optimization 866 15.3 Constrained Optimization: Lagrange Multipliers 876 16 Integrating Functions of Several Variables 889 16.1 The Definite Integral of A Function of Two Variables 890 16.2 Iterated Integrals 898 16.3 Triple Integrals 908 16.4 Double Integrals In Polar Coordinates 916 16.5 Integrals In Cylindrical and Spherical Coordinates 921 16.6 Applications of Integration To Probability 931 17 Parameterization and Vector Fields 937 17.1 Parameterized Curves 938 17.2 Motion, Velocity, and Acceleration 948 17.3 Vector Fields 958 17.4 The Flow of A Vector Field 966 18 Line Integrals 973 18.1 The Idea of A Line Integral 974 18.2 Computing Line Integrals Over Parameterized Curves 984 18.3 Gradient Fields and Path-Independent Fields 992 18.4 Path-Dependent Vector Fields and Green’s Theorem 1003 19 Flux Integrals and Divergence 1017 19.1 The Idea of A Flux Integral 1018 19.2 Flux Integrals For Graphs, Cylinders, and Spheres 1029 19.3 The Divergence of A Vector Field 1039 19.4 The Divergence Theorem 1048 20 The Curl and Stokes’ Theorem 1055 20.1 The Curl of A Vector Field 1056 20.2 Stokes’ Theorem 1064 20.3 The Three Fundamental Theorems 1071 21 Parameters, Coordinates, and Integrals 1077 21.1 Coordinates and Parameterized Surfaces 1078 21.2 Change of Coordinates In A Multiple Integral 1089 21.3 Flux Integrals Over Parameterized Surfaces 1094 Appendices Online A Roots, Accuracy, and Bounds Online B Complex Numbers Online C Newton’s Method Online D Vectors In The Plane Online E Determinants Online Ready Reference 1099 Answers To Odd Numbered Problems 1117 Index 1177
£128.66
John Wiley & Sons Inc Calculus
Book SynopsisTable of ContentsPreface vii Supplements ix Acknowledgments xi The Roots of Calculus xv 1 Limits and Continuity 1 1.1 Limits (An Intuitive Approach) 1 1.2 Computing Limits 13 1.3 Limits at Infinity; End Behavior of a Function 21 1.4 Limits (Discussed More Rigorously) 30 1.5 Continuity 39 1.6 Continuity of Trigonometric Functions 50 2 The Derivative 77 2.1 Tangent Lines and Rates of Change 77 2.2 The Derivative Function 87 2.3 Introduction to Techniques of Differentiation 98 2.4 The Product and Quotient Rules 105 2.5 Derivatives of Trigonometric Functions 110 2.6 The Chain Rule 114 2.7 Implicit Differentiation 124 2.8 Related Rates 142 2.9 Local Linear Approximation; Differentials 149 3 The Derivative in Graphing and Applications 169 3.1 Analysis of Functions I: Increase, Decrease, and Concavity 169 3.2 Analysis of Functions II: Relative Extrema; Graphing Polynomials 180 3.3 Analysis of Functions III: Rational Functions, Cusps, and Vertical Tangents 189 3.4 Absolute Maxima and Minima 200 3.5 Applied Maximum and Minimum Problems 208 3.6 Rectilinear Motion 222 3.7 Newton’s Method 230 3.8 Rolle’s Theorem; Mean-Value Theorem 235 4 Integration 249 4.1 An Overview of the Area Problem 249 4.2 The Indefinite Integral 254 4.3 Integration by Substitution 264 4.4 The Definition of Area as a Limit; Sigma Notation 271 4.5 The Definite Integral 281 4.6 The Fundamental Theorem of Calculus 290 4.7 Rectilinear Motion Revisited Using Integration 302 4.8 Average Value of a Function and its Applications 310 4.9 Evaluating Definite Integrals by Substitution 315 5 Applications of the Definite Integral in Geometry, Science, and Engineering 336 5.1 Area Between Two Curves 336 5.2 Volumes by Slicing; Disks and Washers 344 5.3 Volumes by Cylindrical Shells 354 5.4 Length of a Plane Curve 360 5.5 Area of a Surface of Revolution 365 5.6 Work 370 5.7 Moments, Centers of Gravity, and Centroids 378 5.8 Fluid Pressure and Force 387 6 Exponential, Logarithmic, and Inverse Trigonometric Functions 336 6.1 Exponential and Logarithmic Functions 336 6.2 Derivatives and Integrals Involving Logarithmic Functions 347 6.3 Derivatives of Inverse Functions; Derivatives and Integrals Involving Exponential Functions 353 6.4 Graphs and Applications Involving Logarithmic and Exponential Functions 360 6.5 L’Hôpital’s Rule; Indeterminate Forms 367 6.6 Logarithmic and Other Functions Defined by Integrals 376 6.7 Derivatives and Integrals Involving Inverse Trigonometric Functions 387 6.8 Hyperbolic Functions and Hanging Cables 398 7 Principles of Integral Evaluation 406 7.1 An Overview of Integration Methods 406 7.2 Integration by Parts 409 7.3 Integrating Trigonometric Functions 417 7.4 Trigonometric Substitutions 424 7.5 Integrating Rational Functions by Partial Fractions 430 7.6 Using Computer Algebra Systems and Tables of Integrals 437 7.7 Numerical Integration; Simpson’s Rule 446 7.8 Improper Integrals 458 8 Mathematical Modeling with Differential Equations 471 8.1 Modeling with Differential Equations 471 8.2 Separation of Variables 477 8.3 Slope Fields; Euler’s Method 488 8.4 First-Order Differential Equations and Applications 494 9 Infinite Series 504 9.1 Sequences 504 9.2 Monotone Sequences 513 9.3 Infinite Series 520 9.4 Convergence Tests 528 9.5 The Comparison, Ratio, and Root Tests 534 9.6 Alternating Series; Absolute and Conditional Convergence 539 9.7 Maclaurin and Taylor Polynomials 549 9.8 Maclaurin and Taylor Series; Power Series 559 9.9 Convergence of Taylor Series 567 9.10 Differentiating and Integrating Power Series; Modeling with Taylor Series 575 10 Parametric and Polar Curves; Conic Sections 588 10.1 Parametric Equations; Tangent Lines and Arc Length for Parametric Curves 588 10.2 Polar Coordinates 600 10.3 Tangent Lines, Arc Length, and Area for Polar Curves 613 10.4 Conic Sections 622 10.5 Rotation of Axes; Second-Degree Equations 639 10.6 Conic Sections in Polar Coordinates 644 11 Three-dimensional Space; Vector 11.1 Rectangular Coordinates in 3-Space; Spheres; Cylindrical Surfaces 657 11.2 Vectors 663 11.3 Dot Product; Projections 673 11.4 Cross Product 682 11.5 Parametric Equations of Lines 692 11.6 Planes in 3-Space 698 11.7 Quadric Surfaces 705 11.7 Cylindrical and Spherical Coordinates 715 12 Vector-Valued Functions 723 12.1 Introduction to Vector-Valued Functions 723 12.2 Calculus of Vector-Valued Functions 729 12.3 Change of Parameter; Arc Length 738 12.4 Unit Tangent, Normal, and Binormal Vectors 746 12.5 Curvature 751 12.6 Motion Along a Curve 759 12.7 Kepler’s Laws of Planetary Motion 771 13 Partial Derivatives 781 13.1 Functions of Two or More Variables 781 13.2 Limits and Continuity 791 13.3 Partial Derivatives 800 13.4 Differentiability, Differentials, and Local Linearity 812 13.5 The Chain Rule 820 13.6 Directional Derivatives and Gradients 830 13.7 Tangent Planes and Normal Vectors 840 13.8 Maxima and Minima of Functions of Two Variables 845 13.9 Lagrange Multipliers 856 14 Multiple Integrals 925 14.1 Double Integrals 925 14.2 Double Integrals Over Nonrectangular Regions 932 14.3 Double Integrals in Polar Coordinates 941 14.4 Surface Area; Parametric Surfaces 948 14.5 Triple Integrals 961 14.6 Triple Integrals in Cylindrical and Spherical Coordinates 968 14.7 Change of Variables in Multiple Integrals; Jacobians 977 14.8 Centers of Gravity Using Multiple Integrals 989 15 Topics in Vector Calculus 1001 15.1 Vector Fields 1001 15.2 Line Integrals 1010 15.3 Independence of Path; Conservative Vector Fields 1025 15.4 Green’s Theorem 1035 15.5 Surface Integrals 1042 15.6 Applications of Surface Integrals; Flux 1049 15.7 The Divergence Theorem 1058 15.8 Stokes’ Theorem 1067 Appendix A A1 Appendix B 00 Appendix C 00 Appendix D 00 Appendix E 00 Answers 00 Index I1
£128.66
John Wiley & Sons Inc Calculus
Book SynopsisTable of ContentsPREFACE vii SUPPLEMENTS ix ACKNOWLEDGMENTS xi THE ROOTS OF CALCULUS xv 1 Limits and Continuity 1 1.1 Limits (An Intuitive Approach) 1 1.2 Computing Limits 13 1.3 Limits at Infinity; End Behavior of a Function 21 1.4 Limits (Discussed More Rigorously) 30 1.5 Continuity 39 1.6 Continuity of Trigonometric Functions 50 1.7 Inverse Trigonometric Functions 55 1.8 Exponential and Logarithmic Functions 62 2 The Derivative 77 2.1 Tangent Lines and Rates of Change 77 2.2 The Derivative Function 87 2.3 Introduction to Techniques of Differentiation 98 2.4 The Product and Quotient Rules 105 2.5 Derivatives of Trigonometric Functions 110 2.6 The Chain Rule 114 3 Topics in Differentiation 124 3.1 Implicit Differentiation 124 3.2 Derivatives of Logarithmic Functions 131 3.3 Derivatives of Exponential and Inverse Trigonometric Functions 136 3.4 Related Rates 142 3.5 Local Linear Approximation; Differentials 149 3.6 L'Hôpital's Rule; Indeterminate Forms 157 4 The Derivative in Graphing and Applications 169 4.1 Analysis of Functions I: Increase, Decrease, and Concavity 169 4.2 Analysis of Functions II: Relative Extrema; Graphing Polynomials 180 4.3 Analysis of Functions III: Rational Functions, Cusps, and Vertical Tangents 189 4.4 Absolute Maxima and Minima 200 4.5 Applied Maximum and Minimum Problems 208 4.6 Rectilinear Motion 222 4.7 Newton's Method 230 4.8 Rolle's Theorem; Mean-Value Theorem 235 5 Integration 249 5.1 An Overview of the Area Problem 249 5.2 The Indefinite Integral 254 5.3 Integration by Substitution 264 5.4 The Definition of Area as a Limit; Sigma Notation 271 5.5 The Definite Integral 281 5.6 The Fundamental Theorem of Calculus 290 5.7 Rectilinear Motion Revisited Using Integration 302 5.8 Average Value of a Function and Its Applications 310 5.9 Evaluating Definite Integrals by Substitution 315 5.10 Logarithmic and Other Functions Defined by Integrals 320 6 Applications of the Definite Integral in Geometry, Science, and Engineering 336 6.1 Area Between Two Curves 336 6.2 Volumes by Slicing; Disks and Washers 344 6.3 Volumes by Cylindrical Shells 354 6.4 Length of a Plane Curve 360 6.5 Area of a Surface of Revolution 365 6.6 Work 370 6.7 Moments, Centers of Gravity, and Centroids 378 6.8 Fluid Pressure and Force 387 6.9 Hyperbolic Functions and Hanging Cables 392 7 Principles of Integral Evaluation 406 7.1 An Overview of Integration Methods 406 7.2 Integration by Parts 409 7.3 Integrating Trigonometric Functions 417 7.4 Trigonometric Substitutions 424 7.5 Integrating Rational Functions by Partial Fractions 430 7.6 Using Computer Algebra Systems and Tables of Integrals 437 7.7 Numerical Integration; Simpson's Rule 446 7.8 Improper Integrals 458 8 Mathematical Modeling with Differential Equations 471 8.1 Modeling with Differential Equations 471 8.2 Separation of Variables 477 8.3 Slope Fields; Euler's Method 488 8.4 First-Order Differential Equations and Applications 494 9 Infinite Series 504 9.1 Sequences 504 9.2 Monotone Sequences 513 9.3 Infinite Series 520 9.4 Convergence Tests 528 9.5 The Comparison, Ratio, and Root Tests 534 9.6 Alternating Series; Absolute and Conditional Convergence 540 9.7 Maclaurin and Taylor Polynomials 549 9.8 Maclaurin and Taylor Series; Power Series 559 9.9 Convergence of Taylor Series 567 9.10 Differentiating and Integrating Power Series; Modeling with Taylor Series 575 10 Parametric and Polar Curves; Conic Sections 588 10.1 Parametric Equations; Tangent Lines and Arc Length for Parametric Curves 588 10.2 Polar Coordinates 600 10.3 Tangent Lines, Arc Length, and Area for Polar Curves 613 10.4 Conic Sections 622 10.5 Rotation of Axes; Second-Degree Equations 639 10.6 Conic Sections in Polar Coordinates 644 A Appendices A Trigonometry Review (Summary) App-1 B Functions (Summary) App-8 C New Functions From Old (Summary) App-11 D Families of Functions (Summary) App-16 E Inverse Functions (Summary) App-23 READY REFERENCE RR-1 ANSWERS TO ODD-NUMBERED EXERCISES Ans-1 INDEX Ind-1 Web Appendices (online only) Available in WileyPLUS A Trigonometry Review B Functions C New Functions From Old D Families of Functions E Inverse Functions F Real Numbers, Intervals, and Inequalities G Absolute Value H Coordinate Planes, Lines, and Linear Functions I Distance, Circles, and Quadratic Equations J Solving Polynomial Equations K Graphing Functions Using Calculators and Computer Algebra Systems L Selected Proofs M Early Parametric Equations Option N Mathematical Models O The Discriminant P Second-Order Linear Homogeneous Differential Equations Chapter Web Projects: Expanding the Calculus Horizon (online only) Available in WileyPLUS Robotics -- Chapter 2 Railroad Design -- Chapter 7 Iteration and Dynamical Systems -- Chapter 9 Comet Collision -- Chapter 10
£128.66
John Wiley & Sons Inc Calculus
Book SynopsisTable of ContentsPreface vii Supplements ix Acknowledgments xi The Roots of Calculus xvi 1 Limits and Continuity 1 1.1 Limits (An Intuitive Approach) 1 1.2 Computing Limits 13 1.3 Limits at Infinity; End Behavior of a Function 21 1.4 Limits (Discussed More Rigorously) 30 1.5 Continuity 39 1.6 Continuity of Trigonometric Functions 50 2 The Derivative 58 2.1 Tangent Lines and Rates of Change 58 2.2 The Derivative Function 68 2.3 Introduction to Techniques of Differentiation 79 2.4 The Product and Quotient Rules 86 2.5 Derivatives of Trigonometric Functions 91 2.6 The Chain Rule 95 2.7 Implicit Differentiation 102 2.8 Related Rates 109 2.9 Local Linear Approximation; Differentials 116 3 The Derivative in Graphing and Applications 128 3.1 Analysis of Functions I: Increase, Decrease, and Concavity 128 3.2 Analysis of Functions II: Relative Extrema; Graphing Polynomials 137 3.3 Analysis of Functions III: Rational Functions, Cusps, and Vertical Tangents 146 3.4 Absolute Maxima and Minima 154 3.5 Applied Maximum and Minimum Problems 162 3.6 Rectilinear Motion 175 3.7 Newton’s Method 182 3.8 Rolle’s Theorem; Mean-Value Theorem 188 4 Integration 200 4.1 An Overview of the Area Problem 200 4.2 The Indefinite Integral 205 4.3 Integration by Substitution 214 4.4 The Definition of Area as a Limit; Sigma Notation 220 4.5 The Definite Integral 231 4.6 The Fundamental Theorem of Calculus 239 4.7 Rectilinear Motion Revisited Using Integration 251 4.8 Average Value of a Function and Its Applications 259 4.9 Evaluating Definite Integrals by Substitution 263 5 Applications of the Definite Integral in Geometry, Science, and Engineering 273 5.1 Area Between Two Curves 273 5.2 Volumes by Slicing; Disks and Washers 281 5.3 Volumes by Cylindrical Shells 290 5.4 Length of a Plane Curve 297 5.5 Area of a Surface of Revolution 302 5.6 Work 307 5.7 Moments, Centers of Gravity, and Centroids 315 5.8 Fluid Pressure and Force 323 6 Exponential, Logarithmic, and Inverse Trigonometric Functions 331 6.1 Exponential and Logarithmic Functions 331 6.2 Derivatives and Integrals Involving Logarithmic Functions 342 6.3 Derivatives of Inverse Functions; Derivatives and Integrals Involving Exponential Functions 349 6.4 Graphs and Applications Involvig Logarithmic and Exponential Functions 355 6.5 L’Hoˆ pital’s Rule; Indeterminate Forms 362 6.6 Logarithmic and Other Functions Defined by Integrals 371 6.7 Derivatives and Integrals Involving Inverse Trigonometric Functions 382 6.8 Hyperbolic Functions and Hanging Cables 392 7 Principles of Integral Evaluation 406 7.1 An Overview of Integration Methods 406 7.2 Integration by Parts 409 7.3 Integrating Trigonometric Functions 417 7.4 Trigonometric Substitutions 424 7.5 Integrating Rational Functions by Partial Fractions 430 7.6 Using Computer Algebra Systems and Tables of Integrals 437 7.7 Numerical Integration; Simpson’s Rule 446 7.8 Improper Integrals 458 8 Mathematical Modeling with Differential Equations 471 8.1 Modeling with Differential Equations 471 8.2 Separation of Variables 477 8.3 Slope Fields; Euler’s Method 488 8.4 First-Order Differential Equations and Applications 494 9 Infinite Series 504 9.1 Sequences 504 9.2 Monotone Sequences 513 9.3 Infinite Series 520 9.4 Convergence Tests 528 9.5 The Comparison, Ratio, and Root Tests 534 9.6 Alternating Series; Absolute and Conditional Convergence 540 9.7 Maclaurin and Taylor Polynomials 549 9.8 Maclaurin and Taylor Series; Power Series 559 9.9 Convergence of Taylor Series 567 9.10 Differentiating and Integrating Power Series; Modeling with Taylor Series 575 10 Parametric and Polar Curves; Conic Sections 588 10.1 Parametric Equations; Tangent Lines and Arc Length for Parametric Curves 588 10.2 Polar Coordinates 600 10.3 Tangent Lines, Arc Length, and Area for Polar Curves 613 10.4 Conic Sections 622 10.5 Rotation of Axes; Second-Degree Equations 639 10.6 Conic Sections in Polar Coordinates 644 A Appendices A Trigonometry Review (Summary) App-1 B Functions (Summary) App-8 C New Functions From Old (Summary) App-11 D Families of Functions (Summary) App-16 E Inverse Functions (Summary) App-23 Ready Reference RR-1 Answers to Odd-numbered Exercises Ans-1 Index Ind-1 Web Appendices (online only) Available in WileyPLUS A Trigonometry Review B Functions C New Functions From Old D Families of Functions E Inverse Functions F Real Numbers, Intervals, and Inequalities G Absolute Value H Coordinate Planes, Lines, and Linear Functions I Distance, Circles, and Quadratic Equations J Solving Polynomial Equations K Graphing Functions Using Calculators and Computer Algebra Systems L Selected Proofs M Early Parametric Equations Option N Mathematical Models O The Discriminant P Second-Order Linear Homogeneous Differential Equations Chapter Web Projects: Expanding the Calculus Horizon (online only) Available in WileyPLUS Robotics — Chapter 2 Railroad Design — Chapter 7 Iteration and Dynamical Systems — Chapter 9 Comet Collision — Chapter 10
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Cengage Learning Calculus Early Transcendentals
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Spark Calculus I Sparkcharts
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Spark Calculus Reference SparkCharts
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Barcharts, Inc Calculus Quickstudy Books
Book SynopsisQuickStudy Booklets cover the key information on some of the toughest courses today, helping students boost their grades. The books are presented in the clear, concise format readers have come to expect from QuickStudy. Covering the basics of Calculus, color-coded chapters provide study hints, equations and their explanations, and more!
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Barcharts, Inc Calculus 2
Book SynopsisCalculus 2, focusing on integral calculus, is the gateway to higher level mathematics of which the best degrees and careers are built upon. The core essentials can be used along with your text and lectures, as a review before testing, or as a memory companion that keeps key answers always at your fingertips. Suggested uses: Quick Reference -- instead of digging into the textbook to find a core answer you need while studying, use the guide to reinforce quickly and repeatedly. Memory -- refreshing your memory repeatedly is a foundation of studying, have the core answers handy so you can focus on understanding the concepts; Test Prep -- no student should be cramming, but if you are, there is no better tool for that final review.
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Kendall/Hunt Publishing Co ,U.S. Calculus: Special Edition: Chapters 1-5
Book SynopsisSpecial Edition for Rutgers UniversityThe NEW 7th edition of Calculus blends the best aspects of calculus reform along with the goals and methodology of traditional calculus. The format of this text is enhanced, but is not dominated by new technology. Its innovative presentation includes: Conceptual Understanding through Verbalization Mathematical Communication Cooperative Learning Group Research Projects Integration of Technology Greater Text Visualization Supplementary Materials Interactive art - Many pieces of art in the book link online to dynamic art to illustrate such topics as limits, slopes, areas, and direction fields Calculus features: An early presentation of transcendental functions: Logarithms, exponential functions, and trigonometric functions Differential equations in a natural and reasonable way Utilization of the humanness of mathematics Precalculus mathematics being taught at most colleges and universities correctly reflected A student solutions manual, instructor's manual, and accompanying website It's all about Problems, problems, problems, and even more problems: Modeling Problems require the reader to make assumptions about the real world. Think Tank Problems prove the proposition true or to find a counterexample to disprove the proposition. Exploration Problems go beyond the category of counterexample problem to provide opportunities for innovative thinking. Historical Quest Problems invite the students to participate in the historical development of mathematics. History becomes active rather than passive. Journal Problems have been reprinted from leading mathematics journals in an effort to show that ""mathematicians work problems too."" Putnam Examination Problems have been included to challenge not only the ""best of the best"" but to offer stimulating content for everybody. Uniform Problem Sets 60 in every set allow for easy and consistent problem assignment. Cumulative Problem Sets for Chapters 1-5. Huge Chapter Supplementary Problem Set of 99 miscellaneous problems in each Chapter. Proficiency Examination Problem Sets consisting of both concept and practice problems.
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