Calculus Multivariable Calculus Linear Algebra And Differential Equations

Author : Stanley I. Grossman
Publisher : Academic Press
Page : 993 pages
File Size : 51,5 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483218038

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Multivariable Calculus, Linear Algebra, and Differential Equations by Stanley I. Grossman Pdf

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.

Author : John Hamal Hubbard,Barbara Burke Hubbard
Publisher : Unknown
Page : 284 pages
File Size : 48,8 Mb
Release : 2009
Category : Algebras, Linear
ISBN : 097157667X

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Student Solution Manual to Accompany the 4th Edition of Vector Calculus, Linear Algebra, and Differential Forms, a Unified Approach by John Hamal Hubbard,Barbara Burke Hubbard Pdf

Author : Stanley I. Grossman
Publisher : Unknown
Page : 880 pages
File Size : 49,7 Mb
Release : 1981
Category : Mathematics
ISBN : PSU:000013030711

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Calculus: Multivariable calculus, linear algebra, and differential equations by Stanley I. Grossman Pdf

Author : Richard E. Williamson,Hale F. Trotter
Publisher : Unknown
Page : 838 pages
File Size : 49,6 Mb
Release : 2004
Category : Algebras, Linear
ISBN : 0131235702

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Multivariable Mathematics by Richard E. Williamson,Hale F. Trotter Pdf

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.

Author : Stanley Grossman
Publisher : Holt Rinehart & Winston
Page : 251 pages
File Size : 44,5 Mb
Release : 1995-01-01
Category : Mathematics
ISBN : 0030101964

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Multivariable Calculus, Linear Algebra and Differential Equations by Stanley Grossman Pdf

Author : William F. Trench,Bernard Kolman
Publisher : Academic Press
Page : 771 pages
File Size : 40,6 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483259208

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Multivariable Calculus with Linear Algebra and Series by William F. Trench,Bernard Kolman Pdf

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 : Stanley I. Grossman
Publisher : Unknown
Page : 721 pages
File Size : 50,8 Mb
Release : 1982
Category : Analisis vectorial
ISBN : OCLC:777779563

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Multivariable calculus,linear algebra,and differential equations by Stanley I. Grossman Pdf

Author : Richard E. Williamson,Hale F. Trotter
Publisher : Prentice Hall
Page : 602 pages
File Size : 55,5 Mb
Release : 1979
Category : Mathematics
ISBN : STANFORD:36105031433068

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Multivariable Mathematics by Richard E. Williamson,Hale F. Trotter Pdf

Author : Lynn Harold Loomis,Shlomo Sternberg
Publisher : World Scientific Publishing Company
Page : 596 pages
File Size : 52,8 Mb
Release : 2014-02-26
Category : Mathematics
ISBN : 9789814583954

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Advanced Calculus by Lynn Harold Loomis,Shlomo Sternberg Pdf

An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives. In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

Author : Richard E. Williamson,Hale F. Trotter
Publisher : Prentice Hall
Page : 648 pages
File Size : 55,7 Mb
Release : 1974
Category : Mathematics
ISBN : UOM:39015016367115

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Multivariable Mathematics: Linear Algebra, Differential Equations, Calculus by Richard E. Williamson,Hale F. Trotter Pdf

This book explores the standard problem-solving techniques of multivariable mathematics -- integrating vector algebra ideas with multivariable calculus and differential equations. Provides many routine, computational exercises illuminating both theory and practice. Offers flexibility in coverage -- topics can be covered in a variety of orders, and subsections (which are presented in order of decreasing importance) can be omitted if desired. Provides proofs and includes the definitions and statements of theorems to show how the subject matter can be organized around a few central ideas. Includes new sections on: flow lines and flows; centroids and moments; arc-length and curvature; improper integrals; quadratic surfaces; infinite series--with application to differential equations; and numerical methods. Presents refined method for solving linear systems using exponential matrices.

Author : James A. Carlson,Jennifer M. Johnson
Publisher : Unknown
Page : 304 pages
File Size : 45,9 Mb
Release : 1997
Category : Algebras, Linear
ISBN : UCSD:31822025647132

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Multivariable Mathematics with Maple by James A. Carlson,Jennifer M. Johnson Pdf

Author : Leon Gerber,Stanley I. Grossman
Publisher : Houghton Mifflin Harcourt P
Page : 876 pages
File Size : 40,9 Mb
Release : 1986-01-01
Category : Algebras, Linear
ISBN : 0155647520

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Multivariable Calculus, Linear Algebra and Differential Equations by Leon Gerber,Stanley I. Grossman Pdf

Author : Morris Kline
Publisher : Courier Corporation
Page : 962 pages
File Size : 42,8 Mb
Release : 2013-05-09
Category : Mathematics
ISBN : 9780486134765

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Calculus by Morris Kline Pdf

Application-oriented introduction relates the subject as closely as possible to science with explorations of the derivative; differentiation and integration of the powers of x; theorems on differentiation, antidifferentiation; the chain rule; trigonometric functions; more. Examples. 1967 edition.

Author : Theodore Shifrin
Publisher : John Wiley & Sons
Page : 514 pages
File Size : 48,7 Mb
Release : 2004-01-26
Category : Mathematics
ISBN : 9780471526384

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Multivariable Mathematics by Theodore Shifrin Pdf

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.

Author : John H. Hubbard,Barbara Burke Hubbard
Publisher : Unknown
Page : 0 pages
File Size : 43,5 Mb
Release : 1999
Category : Algebras, Linear
ISBN : 0136574467

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Vector Calculus, Linear Algebra, and Differential Forms by John H. Hubbard,Barbara Burke Hubbard Pdf

This text covers most of the standard topics in multivariate calculus and part of a standard first course in linear algebra. It focuses on underlying ideas, integrates theory and applications, offers a host of pedagogical aids, and features coverage of differential forms and an emphasis on numerical methods to prepare students for modern applications of mathematics. *Covers important material that is usually omitted. *Presents more difficult and longer proofs (e.g. Proofs of the Kantorovitch theorem, the implicit function theorem) in an appendix. *Makes a careful distinction between vectors and points. *Features an innovative approach to the implicit function theorem and inverse function theorem using Newton's method. *Always emphasizes the underlying meaning - what is really going on (generally, with a geometric interpretation) - eg. The chain rule is a composition of linear transformations; the point of the implicit function theorem is to guarantee that under certain circumstances, non-linear equations have solutions. *Integrates theory and applications. *Begins most chapters with a treatment of a linear problem and then shows how the 7 methods apply to corresponding non-linear p