MULTIVARIABLE CALCULUS LINEAR ALGEBRA AND DIFFERENTIAL EQUATIONS

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Multivariable Calculus Linear Algebra And Differential Equations

Author : Stanley I. Grossman
ISBN : 9781483218038
Genre : Mathematics
File Size : 59.45 MB
Format : PDF
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Multivariable Calculus, Linear Algebra, and Differential Equations, Second Edition contains a comprehensive coverage of the study of advanced calculus, linear algebra, and differential equations for sophomore college students. The text includes a large number of examples, exercises, cases, and applications for students to learn calculus well. Also included is the history and development of calculus. The book is divided into five parts. The first part includes multivariable calculus material. The second part is an introduction to linear algebra. The third part of the book combines techniques from calculus and linear algebra and contains discussions of some of the most elegant results in calculus including Taylor's theorem in "n" variables, the multivariable mean value theorem, and the implicit function theorem. The fourth section contains detailed discussions of first-order and linear second-order equations. Also included are optional discussions of electric circuits and vibratory motion. The final section discusses Taylor's theorem, sequences, and series. The book is intended for sophomore college students of advanced calculus.
Category: Mathematics

Vector Calculus Linear Algebra And Differential Forms

Author : John H. Hubbard
ISBN : 0130414085
Genre : Mathematics
File Size : 42.80 MB
Format : PDF, Mobi
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This text covers most of the standard topics in multivariate calculus and a substantial part of a standard first course in linear algebra. Appendix material on harder proofs and programs allows the book to be used as a text for a course in analysis. The organization and selection of material present
Category: Mathematics

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

Author : William F. Trench
ISBN : 9781483220451
Genre : Mathematics
File Size : 82.56 MB
Format : PDF, Mobi
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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.
Category: Mathematics

Calculus

Author : Stanley Irwin Grossman
ISBN : LCCN:80702227
Genre : Calculus
File Size : 33.72 MB
Format : PDF, Mobi
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Category: Calculus

Introduction To Linear Algebra And Differential Equations

Author : John W. Dettman
ISBN : 9780486158310
Genre : Mathematics
File Size : 82.2 MB
Format : PDF, Mobi
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Excellent introductory text focuses on complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions, more. Includes 48 black-and-white illustrations. Exercises with solutions. Index.
Category: Mathematics

Multivariable Mathematics

Author : Richard E. Williamson
ISBN : STANFORD:36105031433068
Genre : Mathematics
File Size : 62.36 MB
Format : PDF, ePub, Mobi
Download : 598
Read : 919

Category: Mathematics

Multivariable Mathematics

Author : Theodore Shifrin
ISBN : 047152638X
Genre : Mathematics
File Size : 40.20 MB
Format : PDF, ePub
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Multivariable Mathematics combines linear algebra and multivariable mathematics in a rigorous approach. The material is integrated to emphasize the recurring theme of implicit versus explicit that persists in linear algebra and analysis. In the text, the author includes all of the standard computational material found in the usual linear algebra and multivariable calculus courses, and more, interweaving the material as effectively as possible, and also includes complete proofs. * Contains plenty of examples, clear proofs, and significant motivation for the crucial concepts. * Numerous exercises of varying levels of difficulty, both computational and more proof-oriented. * Exercises are arranged in order of increasing difficulty.
Category: Mathematics

Multivariable Mathematics

Author : Richard E. Williamson
ISBN : 0131235702
Genre : Algebras, Linear
File Size : 58.17 MB
Format : PDF, Kindle
Download : 123
Read : 1233

For courses in second-year calculus, linear calculus and differential equations. This text explores the standard problem-solving techniques of multivariable mathematics - integrating vector algebra ideas with multivariable calculus and differential equations.
Category: Algebras, Linear