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Author : Louis Leithold
Publisher : Unknown
Page : 654 pages
File Size : 43,5 Mb
Release : 1968
Category : Calculus
ISBN : PSU:000010965207
Author : George Brinton Thomas (Jr.)
Publisher : Unknown
Page : 694 pages
File Size : 44,9 Mb
Release : 1960
Category : Calculus
ISBN : UOM:39015049289716
Author : George Brinton Thomas,Ross L. Finney
Publisher : Addison Wesley
Page : 1240 pages
File Size : 41,6 Mb
Release : 1992
Category : Mathematics
ISBN : UOM:39076001844328
Rate of change of a function - Derivatives - Applications and derivatives - Integration - Transcendental functions - Techniques of integration - Infinite series - Vectors - Conic sections, polar coordinates - Functions of two or more variables - Multiple integrals - Differential equations.
Author : William F. Trench,Bernard Kolman
Publisher : Academic Press
Page : 771 pages
File Size : 41,5 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483259208
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.
Author : George Brinton Thomas (Jr.)
Publisher : Unknown
Page : 376 pages
File Size : 44,6 Mb
Release : 1960
Category : Calculus
ISBN : UOM:39015017324958
Author : George Brinton Thomas
Publisher : Unknown
Page : 936 pages
File Size : 43,6 Mb
Release : 1972
Category : Calculus
ISBN : 020107527X
Author : Louis Leithold
Publisher : Unknown
Page : 806 pages
File Size : 43,6 Mb
Release : 1972
Category : Calculus
ISBN : UVA:X000832743
Author : William R. Gondin,Bernard Sohmer
Publisher : Elsevier
Page : 288 pages
File Size : 41,7 Mb
Release : 2014-05-12
Category : Mathematics
ISBN : 9781483278209
Intermediate Algebra & Analytic Geometry Made Simple focuses on the principles, processes, calculations, and methodologies involved in intermediate algebra and analytic geometry. The publication first offers information on linear equations in two unknowns and variables, functions, and graphs. Discussions focus on graphic interpretations, explicit and implicit functions, first quadrant graphs, variables and functions, determinate and indeterminate systems, independent and dependent equations, and defective and redundant systems. The text then examines quadratic equations in one variable, systems involving quadratics, and determinants. Topics include determinants of higher order, application of Cramer's rule, second-order determinants, systems linear in quadratic terms, systems treatable by substitution, systems with a linear equation, and other systems treated by comparison. The manuscript ponders on trigonometric functions and equations, straight lines, and points, distances, and slopes, including intersection points of lines, perpendicular distances, angles between lines, positions of points, inverse trigonometric functions, and trigonometric equations. The publication is a valuable source of data for readers interested in intermediate algebra and analytic geometry.
Author : Harley Flanders,Justin J. Price
Publisher : Unknown
Page : 420 pages
File Size : 51,6 Mb
Release : 1973
Category : Mathematics
ISBN : 0122596552
Author : George Brinton Thomas,Thomas L. Cochran
Publisher : Addison Wesley
Page : 230 pages
File Size : 47,6 Mb
Release : 1992
Category : Mathematics
ISBN : CORNELL:31924068992019
Author : George Brinton Thomas
Publisher : Unknown
Page : 602 pages
File Size : 43,5 Mb
Release : 1960
Category : Calculus
ISBN : OCLC:25930527
Author : Harley Flanders,Robert R. Korfhage,Justin J. Price
Publisher : Academic Press
Page : 72 pages
File Size : 42,7 Mb
Release : 2014-05-12
Category : Mathematics
ISBN : 9781483263823
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.
Author : Naval Postgraduate School (U.S.)
Publisher : Unknown
Page : 156 pages
File Size : 44,7 Mb
Release : 1970
Category : Naval education
ISBN : UOM:39015081726385
Author : Kenneth O, May,May
Publisher : Courier Dover Publications
Page : 657 pages
File Size : 44,5 Mb
Release : 2020-03-18
Category : Mathematics
ISBN : 9780486842752
This unified treatment of algebra, analytic geometry, trigonometry, and introductory calculus offers a well-organized and thoughtful presentation. The text is fortified with many problems, for which solutions are provided. 1952 edition.
Author : A. C. Burdette
Publisher : Academic Press
Page : 425 pages
File Size : 44,9 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483265223
An Introduction to Analytic Geometry and Calculus covers the basic concepts of analytic geometry and the elementary operations of calculus. This book is composed of 14 chapters and begins with an overview of the fundamental relations of the coordinate system. The next chapters deal with the fundamentals of straight line, nonlinear equations and graphs, functions and limits, and derivatives. These topics are followed by a discussion of some applications of previously covered mathematical subjects. This text also considers the fundamentals of the integrals, trigonometric functions, exponential and logarithm functions, and methods of integration. The final chapters look into the concepts of parametric equations, polar coordinates, and infinite series. This book will prove useful to mathematicians and undergraduate and graduate mathematics students.