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Book The Calculus  with Analytic Geometry

Download or read book The Calculus with Analytic Geometry written by Louis Leithold and published by . This book was released on 1976-01-01 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Multivariable Calculus with Linear Algebra and Series

Download or read book Multivariable Calculus with Linear Algebra and Series written by William F. Trench and published by Academic Press. This book was released on 2014-05-10 with total page 771 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multivariable Calculus with Linear Algebra and Series presents a modern, but not extreme, treatment of linear algebra, the calculus of several variables, and series. Topics covered range from vectors and vector spaces to linear matrices and analytic geometry, as well as differential calculus of real-valued functions. Theorems and definitions are included, most of which are followed by worked-out illustrative examples. Comprised of seven chapters, this book begins with an introduction to linear equations and matrices, including determinants. The next chapter deals with vector spaces and linear transformations, along with eigenvalues and eigenvectors. The discussion then turns to vector analysis and analytic geometry in R3; curves and surfaces; the differential calculus of real-valued functions of n variables; and vector-valued functions as ordered m-tuples of real-valued functions. Integration (line, surface, and multiple integrals) is also considered, together with Green's and Stokes's theorems and the divergence theorem. The final chapter is devoted to infinite sequences, infinite series, and power series in one variable. This monograph is intended for students majoring in science, engineering, or mathematics.

Book Calculus with Analytic Geometry

Download or read book Calculus with Analytic Geometry written by Murray H. Protter and published by Jones & Bartlett Learning. This book was released on 1988 with total page 990 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book A Second Course in Calculus

Download or read book A Second Course in Calculus written by Harley Flanders and published by Academic Press. This book was released on 2014-05-12 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text, designed for a second year calculus course, can follow any standard first year course in one-variable calculus. Its purpose is to cover the material most useful at this level, to maintain a balance between theory and practice, and to develop techniques and problem solving skills. The topics fall into several categories: Infinite series and integrals Chapter 1 covers convergence and divergence of series and integrals. It ?ontains proofs of basic convergence tests, relations between series and Integrals, and manipulation with geometric, exponential, and related series. Chapter 2 covers approximation of functions by Taylor polynomials, with emphasis on numerical approximations and estimates of remainders. Chapt~r 3 deals with power series, including intervals of convergence, expanSIOns of functions, and uniform convergence. It features calculations with s~ries by algebraic operations, substitution, and term-by-term differentiation and integration. Vector methods Vector algebra is introduced in Chapter 4 and applied to solid analytic geometry. The calculus of one-variable vector functions and its applications to space curves and particle mechanics comprise Chapter 5. Linear algebra Chapter 7 contains a practical introduction to linear algebra in two and three dimensions. We do not attempt a complete treatment of foundations, but rather limit ourselves to thoRe topics that have immediate application to calculus. The main topics are linear transformations in R2 and R3, their matrix representations, manipulation with matrices, linear systems, quadratic forms, and quadric surfaces. Differential calculus of several variables Chapter 6 contains preliminary material on sets in the plane and space, and the definition and basic properties of continuous functions. This is followed by partial derivatives with applications to maxima and minima. Chapter 8 continues with a careful treatment of differentiability and applications to tangent planes, gradients, directional derivatives, and differentials. Here ideas from linear algebra are used judiciously. Chapter 9 covers higher xii Preface order partial derivatives, Taylor polynomials, and second derivative tests for extrema. Multiple integrals In Chapters 10 and 11 we treat double and triple integrals intuitively, with emphasis on iteration, geometric and physical applications, and coordinate changes. In Chapter 12 we develop the theory of the Riemann integral starting with step functions. We continue with Jacobians and the change of variable formula, surface area, and Green's Theorem. Differential equations Chapter 13 contains an elementary treatment of first order equations, with emphasis on linear equations, approximate solutions, and applications. Chapter 14 covers second order linear equations and first order linear systems, including matrix series solutions. These chapters can be taken up any time after Chapter 7. Complex analysis The final chapter moves quickly through basic complex algebra to complex power series, shortcuts using' the complex exponential function, and applications to integration and differential equations. Features The key points of one-variable calculus are reviewed briefly as needed. Optional topics are scattered throughout, for example Stirling's Formula, characteristic roots and vectors, Lagrange multipliers, and Simpson's Rule for double integrals. Numerous worked examples teach practical skills and demonstrate the utility of the theory. We emphaRize Rimple line drawingR that a student can learn to do himself.

Book Calculus with Analytic Geometry

Download or read book Calculus with Analytic Geometry written by Richard H. Crowell and published by W W Norton & Company Incorporated. This book was released on 1968 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces and develops the differential and integral calculus of functions of one variable.

Book Calculus with Analytic Geometry

Download or read book Calculus with Analytic Geometry written by Harley Flanders and published by . This book was released on 1978 with total page 1064 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functions and graphs. Derivates. Applications of differentiation. Exponential and trigonometric functions. Integration. Applications of integration. Inverse functions. Techniques of integration. Plane analytic geometry. Approximation. Convergence. Power series. Space geometry and vectors. Vector functions and curves. Functions of several variables. Higher partials and applications. Double integrals. Multiple integrals. Numerical tables.

Book Calculus with Analytic Geometry

Download or read book Calculus with Analytic Geometry written by Edwin Joseph Purcell and published by Prentice Hall. This book was released on 1984 with total page 928 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functions and limits; The derivative; Applications of the derivative; The integral; Applications of the integral; Transcedental functions; Techniques of integration; Indeterminate forms and improper integrals; Numerical methods, approximations; Infinite series; Conics and polar coordinates; Geometry in the plane, vectors; Geometry in space, vectors; The derivative in n-space; The integral in n-space; Vector calculus; Differential equations.

Book The Calculus  with Analytic Geometry

Download or read book The Calculus with Analytic Geometry written by Louis Leithold and published by . This book was released on with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Calculus

    Book Details:
  • Author : Saturnino L. Salas
  • Publisher :
  • Release : 1971
  • ISBN :
  • Pages : 800 pages

Download or read book Calculus written by Saturnino L. Salas and published by . This book was released on 1971 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Calculus with Analytic Geometry

Download or read book Calculus with Analytic Geometry written by Joe Repka and published by WCB/McGraw-Hill. This book was released on 1994 with total page 1354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Repka's presentation and problem sets aim to be accessible to students with a wide range of abilities. The applications emphasize modern uses of calculus, and the book encourages students to use modern tools of software and graphing calculators.

Book Multivariable Calculus with Analytic Geometry

Download or read book Multivariable Calculus with Analytic Geometry written by C. H. Edwards, Jr. and published by . This book was released on 1994 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Calculus

    Book Details:
  • Author : Angus Ellis Taylor
  • Publisher :
  • Release : 1969
  • ISBN :
  • Pages : pages

Download or read book Calculus written by Angus Ellis Taylor and published by . This book was released on 1969 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Calculus and Analytic Geometry

Download or read book Calculus and Analytic Geometry written by George Brinton Thomas (Jr.) and published by Addison Wesley Publishing Company. This book was released on 1996 with total page 1300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ninth edition of this college-level calculus textbook features end-of-chapter review questions, practice exercises, and applications and examples.