calculus of several variables

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Calculus Of Several Variables

Author : Serge Lang
ISBN : 9781461210689
Genre : Mathematics
File Size : 63. 34 MB
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This new, revised edition covers all of the basic topics in calculus of several variables, including vectors, curves, functions of several variables, gradient, tangent plane, maxima and minima, potential functions, curve integrals, Green’s theorem, multiple integrals, surface integrals, Stokes’ theorem, and the inverse mapping theorem and its consequences. It includes many completely worked-out problems.

Advanced Calculus Of Several Variables

Author : C. H. Edwards
ISBN : 9781483268057
Genre : Mathematics
File Size : 42. 56 MB
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Advanced Calculus of Several Variables provides a conceptual treatment of multivariable calculus. This book emphasizes the interplay of geometry, analysis through linear algebra, and approximation of nonlinear mappings by linear ones. The classical applications and computational methods that are responsible for much of the interest and importance of calculus are also considered. This text is organized into six chapters. Chapter I deals with linear algebra and geometry of Euclidean n-space Rn. The multivariable differential calculus is treated in Chapters II and III, while multivariable integral calculus is covered in Chapters IV and V. The last chapter is devoted to venerable problems of the calculus of variations. This publication is intended for students who have completed a standard introductory calculus sequence.

Advanced Differential Calculus On Several Variables

Author :
ISBN : 8189781804
Genre : Differential calculus
File Size : 44. 44 MB
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Calculus Of Several Variables

Author : Robert A. Adams
ISBN : 020164388X
Genre : Analyse vectorielle
File Size : 34. 22 MB
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Intended for University level one semester course in multivariable calculus and a one-semester course in vector calculus. This new Fourth Edition of several-variable calculus retains the qualities that have made Adams so popular: the clear, concise writing style, geometric reasoning, and fully and carefully stated theorems and proofs. Extensive reviewing has resulted in a reorganization of the material for efficiency sake, resulting in less redundancy with greater emphasis on key topics.

Answers To Selected Problems In Multivariable Calculus With Linear Algebra And Series

Author : William F. Trench
ISBN : 9781483220451
Genre : Mathematics
File Size : 75. 6 MB
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Answers to Selected Problems in Multivariable Calculus with Linear Algebra and Series contains the answers to selected problems in 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. The problems and corresponding solutions deal with linear equations and matrices, including determinants; vector spaces and linear transformations; eigenvalues and eigenvectors; 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 covered, 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.

Calculus Of Several Variables

Author : Robert Creighton Buck
ISBN : 0395055415
Genre : Mathematics
File Size : 72. 64 MB
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Calculus Of Several Variables

Author : Eugene K. McLachlan
ISBN : UOM:39015015697447
Genre : Functions of several real variables
File Size : 48. 36 MB
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A Course In Multivariable Calculus And Analysis

Author : Sudhir R. Ghorpade
ISBN : 9781441916211
Genre : Mathematics
File Size : 47. 64 MB
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This self-contained textbook gives a thorough exposition of multivariable calculus. The emphasis is on correlating general concepts and results of multivariable calculus with their counterparts in one-variable calculus. Further, the book includes genuine analogues of basic results in one-variable calculus, such as the mean value theorem and the fundamental theorem of calculus. This book is distinguished from others on the subject: it examines topics not typically covered, such as monotonicity, bimonotonicity, and convexity, together with their relation to partial differentiation, cubature rules for approximate evaluation of double integrals, and conditional as well as unconditional convergence of double series and improper double integrals. Each chapter contains detailed proofs of relevant results, along with numerous examples and a wide collection of exercises of varying degrees of difficulty, making the book useful to undergraduate and graduate students alike.

Functions Of Several Variables

Author : Wendell H Fleming
ISBN : 9781468494617
Genre : Mathematics
File Size : 69. 13 MB
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This new edition, like the first, presents a thorough introduction to differential and integral calculus, including the integration of differential forms on manifolds. However, an additional chapter on elementary topology makes the book more complete as an advanced calculus text, and sections have been added introducing physical applications in thermodynamics, fluid dynamics, and classical rigid body mechanics.

Calculus Of Several Variables And Differentiable Manifolds

Author : Carl Barnett Allendoerfer
ISBN : UOM:39015049288015
Genre : Mathematics
File Size : 89. 59 MB
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