{"product_id":"calculus-9780134763644","title":"Calculus","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003ch3\u003eAbout our authors\u003c\/h3\u003e \u003cp\u003e\u003cstrong\u003eWilliam Briggs\u003c\/strong\u003e has been on the mathematics faculty at the University of Colorado at Denver for 23 years. He received his BA in mathematics from the University of Colorado and his MS and PhD in applied mathematics from Harvard University. He teaches undergraduate and graduate courses throughout the mathematics curriculum, with a special interest in mathematical modeling and differential equations as it applies to problems in the biosciences. He has written a quantitative reasoning textbook, \u003cstrong\u003e\u003ccite\u003eUsing and Understanding Mathematics\u003c\/cite\u003e\u003c\/strong\u003e; an undergraduate problem solving book, \u003cstrong\u003e\u003ccite\u003eAnts, Bikes, and Clocks\u003c\/cite\u003e\u003c\/strong\u003e; and two tutorial monographs, \u003cstrong\u003e\u003ccite\u003eThe Multigrid Tutorial \u003c\/cite\u003e\u003c\/strong\u003eand \u003cstrong\u003e\u003ccite\u003eThe DFT: An Owner's Manual for the Discrete Fourier Transform\u003c\/cite\u003e\u003c\/strong\u003e. He is the Society for Industrial and Applied Mathematics (SIAM) Vice President for Education, a University of Colorado\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1. Functions  \u003c\/p\u003e\u003cul\u003e\n\u003cli\u003e1.1 Review of Functions\u003c\/li\u003e\n\u003cli\u003e1.2 Representing Functions\u003c\/li\u003e\n\u003cli\u003e1.3 Inverse, Exponential, and Logarithmic Functions\u003c\/li\u003e\n\u003cli\u003e1.4 Trigonometric Functions and Their Inverses\u003c\/li\u003e\n\u003cli\u003eReview Exercises\u003c\/li\u003e\n\u003c\/ul\u003e  2. Limits  \u003cul\u003e\n\u003cli\u003e2.1 The Idea of Limits\u003c\/li\u003e\n\u003cli\u003e2.2 Definitions of Limits\u003c\/li\u003e\n\u003cli\u003e2.3 Techniques for Computing Limits\u003c\/li\u003e\n\u003cli\u003e2.4 Infinite Limits\u003c\/li\u003e\n\u003cli\u003e2.5 Limits at Infinity\u003c\/li\u003e\n\u003cli\u003e2.6 Continuity\u003c\/li\u003e\n\u003cli\u003e2.7 Precise Definitions of Limits\u003c\/li\u003e\n\u003cli\u003eReview Exercises\u003c\/li\u003e\n\u003c\/ul\u003e  3. Derivatives  \u003cul\u003e\n\u003cli\u003e3.1 Introducing the Derivative\u003c\/li\u003e\n\u003cli\u003e3.2 The Derivative as a Function\u003c\/li\u003e\n\u003cli\u003e3.3 Rules of Differentiation\u003c\/li\u003e\n\u003cli\u003e3.4 The Product and Quotient Rules\u003c\/li\u003e\n\u003cli\u003e3.5 Derivatives of Trigonometric Functions\u003c\/li\u003e\n\u003cli\u003e3.6 Derivatives as Rates of Change\u003c\/li\u003e\n\u003cli\u003e3.7 The Chain Rule\u003c\/li\u003e\n\u003cli\u003e3.8 Implicit Differentiation\u003c\/li\u003e\n\u003cli\u003e3.9 Derivatives of Logarithmic and Exponential Functions\u003c\/li\u003e\n\u003cli\u003e3.10 Derivatives of Inverse Trigonometric Functions\u003c\/li\u003e\n\u003cli\u003e3.11 Related Rates\u003c\/li\u003e\n\u003cli\u003eReview Exercises\u003c\/li\u003e\n\u003c\/ul\u003e  4. Applications of the Derivative  \u003cul\u003e\n\u003cli\u003e4.1 Maxima and Minima\u003c\/li\u003e\n\u003cli\u003e4.2 Mean Value Theorem\u003c\/li\u003e\n\u003cli\u003e4.3 What Derivatives Tell Us\u003c\/li\u003e\n\u003cli\u003e4.4 Graphing Functions\u003c\/li\u003e\n\u003cli\u003e4.5 Optimization Problems\u003c\/li\u003e\n\u003cli\u003e4.6 Linear Approximation and Differentials\u003c\/li\u003e\n\u003cli\u003e4.7 L'Hôpital's Rule\u003c\/li\u003e\n\u003cli\u003e4.8 Newton's Method\u003c\/li\u003e\n\u003cli\u003e4.9 Antiderivatives\u003c\/li\u003e\n\u003cli\u003eReview Exercises\u003c\/li\u003e\n\u003c\/ul\u003e  5. Integration  \u003cul\u003e\n\u003cli\u003e5.1 Approximating Areas under Curves\u003c\/li\u003e\n\u003cli\u003e5.2 Definite Integrals\u003c\/li\u003e\n\u003cli\u003e5.3 Fundamental Theorem of Calculus\u003c\/li\u003e\n\u003cli\u003e5.4 Working with Integrals\u003c\/li\u003e\n\u003cli\u003e5.5 Substitution Rule\u003c\/li\u003e\n\u003cli\u003eReview Exercises\u003c\/li\u003e\n\u003c\/ul\u003e  6. Applications of Integration  \u003cul\u003e\n\u003cli\u003e6.1 Velocity and Net Change\u003c\/li\u003e\n\u003cli\u003e6.2 Regions Between Curves\u003c\/li\u003e\n\u003cli\u003e6.3 Volume by Slicing\u003c\/li\u003e\n\u003cli\u003e6.4 Volume by Shells\u003c\/li\u003e\n\u003cli\u003e6.5 Length of Curves\u003c\/li\u003e\n\u003cli\u003e6.6 Surface Area\u003c\/li\u003e\n\u003cli\u003e6.7 Physical Applications\u003c\/li\u003e\n\u003cli\u003eReview Exercises\u003c\/li\u003e\n\u003c\/ul\u003e  7. Logarithmic, Exponential, and Hyperbolic Functions  \u003cul\u003e\n\u003cli\u003e7.1 Logarithmic and Exponential Functions Revisited\u003c\/li\u003e\n\u003cli\u003e7.2 Exponential Models\u003c\/li\u003e\n\u003cli\u003e7.3 Hyperbolic Functions\u003c\/li\u003e\n\u003cli\u003eReview Exercises\u003c\/li\u003e\n\u003c\/ul\u003e  8. Integration Techniques  \u003cul\u003e\n\u003cli\u003e8.1 Basic Approaches\u003c\/li\u003e\n\u003cli\u003e8.2 Integration by Parts\u003c\/li\u003e\n\u003cli\u003e8.3 Trigonometric Integrals\u003c\/li\u003e\n\u003cli\u003e8.4 Trigonometric Substitutions\u003c\/li\u003e\n\u003cli\u003e8.5 Partial Fractions\u003c\/li\u003e\n\u003cli\u003e8.6 Integration Strategies\u003c\/li\u003e\n\u003cli\u003e8.7 Other Methods of Integration\u003c\/li\u003e\n\u003cli\u003e8.8 Numerical Integration\u003c\/li\u003e\n\u003cli\u003e8.9 Improper Integrals\u003c\/li\u003e\n\u003cli\u003eReview Exercises\u003c\/li\u003e\n\u003c\/ul\u003e  9. Differential Equations  \u003cul\u003e\n\u003cli\u003e9.1 Basic Ideas\u003c\/li\u003e\n\u003cli\u003e9.2 Direction Fields and Euler's Method\u003c\/li\u003e\n\u003cli\u003e9.3 Separable Differential Equations\u003c\/li\u003e\n\u003cli\u003e9.4 Special First-Order Linear Differential Equations\u003c\/li\u003e\n\u003cli\u003e9.5 Modeling with Differential Equations\u003c\/li\u003e\n\u003cli\u003eReview Exercises\u003c\/li\u003e\n\u003c\/ul\u003e  10. Sequences and Infinite Series  \u003cul\u003e\n\u003cli\u003e10.1 An Overview\u003c\/li\u003e\n\u003cli\u003e10.2 Sequences\u003c\/li\u003e\n\u003cli\u003e10.3 Infinite Series\u003c\/li\u003e\n\u003cli\u003e10.4 The Divergence and Integral Tests\u003c\/li\u003e\n\u003cli\u003e10.5 Comparison Tests\u003c\/li\u003e\n\u003cli\u003e10.6 Alternating Series\u003c\/li\u003e\n\u003cli\u003e10.7 The Ratio and Root Tests\u003c\/li\u003e\n\u003cli\u003e10.8 Choosing a Convergence Test\u003c\/li\u003e\n\u003cli\u003eReview Exercises\u003c\/li\u003e\n\u003c\/ul\u003e  11. Power Series  \u003cul\u003e\n\u003cli\u003e11.1 Approximating Functions with Polynomials\u003c\/li\u003e\n\u003cli\u003e11.2 Properties of Power Series\u003c\/li\u003e\n\u003cli\u003e11.3 Taylor Series\u003c\/li\u003e\n\u003cli\u003e11.4 Working with Taylor Series\u003c\/li\u003e\n\u003cli\u003eReview Exercises\u003c\/li\u003e\n\u003c\/ul\u003e  12. Parametric and Polar Curves  \u003cul\u003e\n\u003cli\u003e12.1 Parametric Equations\u003c\/li\u003e\n\u003cli\u003e12.2 Polar Coordinates\u003c\/li\u003e\n\u003cli\u003e12.3 Calculus in Polar Coordinates\u003c\/li\u003e\n\u003cli\u003e12.4 Conic Sections\u003c\/li\u003e\n\u003cli\u003eReview Exercises\u003c\/li\u003e\n\u003c\/ul\u003e  13. Vectors and the Geometry of Space  \u003cul\u003e\n\u003cli\u003e13.1 Vectors in the Plane\u003c\/li\u003e\n\u003cli\u003e13.2 Vectors in Three Dimensions\u003c\/li\u003e\n\u003cli\u003e13.3 Dot Products\u003c\/li\u003e\n\u003cli\u003e13.4 Cross Products\u003c\/li\u003e\n\u003cli\u003e13.5 Lines and Planes in Space\u003c\/li\u003e\n\u003cli\u003e13.6 Cylinders and Quadric Surfaces\u003c\/li\u003e\n\u003cli\u003eReview Exercises\u003c\/li\u003e\n\u003c\/ul\u003e  14. Vector-Valued Functions  \u003cul\u003e\n\u003cli\u003e14.1 Vector-Valued Functions\u003c\/li\u003e\n\u003cli\u003e14.2 Calculus of Vector-Valued Functions\u003c\/li\u003e\n\u003cli\u003e14.3 Motion in Space\u003c\/li\u003e\n\u003cli\u003e14.4 Length of Curves\u003c\/li\u003e\n\u003cli\u003e14.5 Curvature and Normal Vectors\u003c\/li\u003e\n\u003cli\u003eReview Exercises\u003c\/li\u003e\n\u003c\/ul\u003e  15. Functions of Several Variables  \u003cul\u003e\n\u003cli\u003e15.1 Graphs and Level Curves\u003c\/li\u003e\n\u003cli\u003e15.2 Limits and Continuity\u003c\/li\u003e\n\u003cli\u003e15.3 Partial Derivatives\u003c\/li\u003e\n\u003cli\u003e15.4 The Chain Rule\u003c\/li\u003e\n\u003cli\u003e15.5 Directional Derivatives and the Gradient\u003c\/li\u003e\n\u003cli\u003e15.6 Tangent Planes and Linear Approximation\u003c\/li\u003e\n\u003cli\u003e15.7 Maximum\/Minimum Problems\u003c\/li\u003e\n\u003cli\u003e15.8 Lagrange Multipliers\u003c\/li\u003e\n\u003cli\u003eReview Exercises\u003c\/li\u003e\n\u003c\/ul\u003e  16. Multiple Integration  \u003cul\u003e\n\u003cli\u003e16.1 Double Integrals over Rectangular Regions\u003c\/li\u003e\n\u003cli\u003e16.2 Double Integrals over General Regions\u003c\/li\u003e\n\u003cli\u003e16.3 Double Integrals in Polar Coordinates\u003c\/li\u003e\n\u003cli\u003e16.4 Triple Integrals\u003c\/li\u003e\n\u003cli\u003e16.5 Triple Integrals in Cylindrical and Spherical Coordinates\u003c\/li\u003e\n\u003cli\u003e16.6 Integrals for Mass Calculations\u003c\/li\u003e\n\u003cli\u003e16.7 Change of Variables in Multiple Integrals\u003c\/li\u003e\n\u003cli\u003eReview Exercises\u003c\/li\u003e\n\u003c\/ul\u003e  17. Vector Calculus  \u003cul\u003e\n\u003cli\u003e17.1 Vector Fields\u003c\/li\u003e\n\u003cli\u003e17.2 Line Integrals\u003c\/li\u003e\n\u003cli\u003e17.3 Conservative Vector Fields\u003c\/li\u003e\n\u003cli\u003e17.4 Green's Theorem\u003c\/li\u003e\n\u003cli\u003e17.5 Divergence and Curl\u003c\/li\u003e\n\u003cli\u003e17.6 Surface Integrals\u003c\/li\u003e\n\u003cli\u003e17.7 Stokes' Theorem\u003c\/li\u003e\n\u003cli\u003e17.8 Divergence Theorem\u003c\/li\u003e\n\u003cli\u003eReview Exercises\u003c\/li\u003e\n\u003c\/ul\u003e  D2 Second-Order Differential Equations ONLINE  \u003cul\u003e\n\u003cli\u003eD2.1 Basic Ideas\u003c\/li\u003e\n\u003cli\u003eD2.2 Linear Homogeneous Equations\u003c\/li\u003e\n\u003cli\u003eD2.3 Linear Nonhomogeneous Equations\u003c\/li\u003e\n\u003cli\u003eD2.4 Applications\u003c\/li\u003e\n\u003cli\u003eD2.5 Complex Forcing Functions\u003c\/li\u003e\n\u003cli\u003eReview Exercises\u003c\/li\u003e\n\u003c\/ul\u003e  Appendix A. Proofs of Selected Theorems  Appendix B. Algebra Review ONLINE  Appendix C. Complex Numbers ONLINE  Answers  Index  Table of Integrals","brand":"Pearson Education (US)","offers":[{"title":"Default Title","offer_id":49524402094423,"sku":"9780134763644","price":232.09,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780134763644.jpg?v=1731856639","url":"https:\/\/bookcurl.com\/products\/calculus-9780134763644","provider":"Book Curl","version":"1.0","type":"link"}