An Introduction To Multivariable Mathematics PDF Download
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Author | : Leon Simon |
Publisher | : Morgan & Claypool Publishers |
Total Pages | : 142 |
Release | : 2008-07-08 |
Genre | : Technology & Engineering |
ISBN | : 159829802X |
Download An Introduction to Multivariable Mathematics Book in PDF, ePub and Kindle
The text is designed for use in a forty-lecture introductory course covering linear algebra, multivariable differential calculus, and an introduction to real analysis. The core material of the book is arranged to allow for the main introductory material on linear algebra, including basic vector space theory in Euclidean space and the initial theory of matrices and linear systems, to be covered in the first ten or eleven lectures, followed by a similar number of lectures on basic multivariable analysis, including first theorems on differentiable functions on domains in Euclidean space and a brief introduction to submanifolds. The book then concludes with further essential linear algebra, including the theory of determinants, eigenvalues, and the spectral theorem for real symmetric matrices, and further multivariable analysis, including the contraction mapping principle and the inverse and implicit function theorems. There is also an appendix which provides a nine-lecture introduction to real analysis. There are various ways in which the additional material in the appendix could be integrated into a course--for example in the Stanford Mathematics honors program, run as a four-lecture per week program in the Autumn Quarter each year, the first six lectures of the nine-lecture appendix are presented at the rate of one lecture per week in weeks two through seven of the quarter, with the remaining three lectures per week during those weeks being devoted to the main chapters of the text. It is hoped that the text would be suitable for a quarter or semester course for students who have scored well in the BC Calculus advanced placement examination (or equivalent), particularly those who are considering a possible major in mathematics. The author has attempted to make the presentation rigorous and complete, with the clarity and simplicity needed to make it accessible to an appropriately large group of students. Table of Contents: Linear Algebra / Analysis in R / More Linear Algebra / More Analysis in R / Appendix: Introductory Lectures on Real Analysis
Author | : Leon Simon |
Publisher | : Springer Nature |
Total Pages | : 132 |
Release | : 2022-05-31 |
Genre | : Mathematics |
ISBN | : 3031023943 |
Download An Introduction to Multivariable Mathematics Book in PDF, ePub and Kindle
The text is designed for use in a forty-lecture introductory course covering linear algebra, multivariable differential calculus, and an introduction to real analysis. The core material of the book is arranged to allow for the main introductory material on linear algebra, including basic vector space theory in Euclidean space and the initial theory of matrices and linear systems, to be covered in the first ten or eleven lectures, followed by a similar number of lectures on basic multivariable analysis, including first theorems on differentiable functions on domains in Euclidean space and a brief introduction to submanifolds. The book then concludes with further essential linear algebra, including the theory of determinants, eigenvalues, and the spectral theorem for real symmetric matrices, and further multivariable analysis, including the contraction mapping principle and the inverse and implicit function theorems. There is also an appendix which provides a nine-lecture introduction to real analysis. There are various ways in which the additional material in the appendix could be integrated into a course--for example in the Stanford Mathematics honors program, run as a four-lecture per week program in the Autumn Quarter each year, the first six lectures of the nine-lecture appendix are presented at the rate of one lecture per week in weeks two through seven of the quarter, with the remaining three lectures per week during those weeks being devoted to the main chapters of the text. It is hoped that the text would be suitable for a quarter or semester course for students who have scored well in the BC Calculus advanced placement examination (or equivalent), particularly those who are considering a possible major in mathematics. The author has attempted to make the presentation rigorous and complete, with the clarity and simplicity needed to make it accessible to an appropriately large group of students. Table of Contents: Linear Algebra / Analysis in R / More Linear Algebra / More Analysis in R / Appendix: Introductory Lectures on Real Analysis
Author | : Theodore Shifrin |
Publisher | : John Wiley & Sons |
Total Pages | : 514 |
Release | : 2004-01-26 |
Genre | : Mathematics |
ISBN | : 047152638X |
Download Multivariable Mathematics Book in PDF, ePub and Kindle
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 | : Richard E. Williamson |
Publisher | : |
Total Pages | : 838 |
Release | : 2004 |
Genre | : Algebras, Linear |
ISBN | : 9780131235700 |
Download Multivariable Mathematics Book in PDF, ePub and Kindle
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 | : Piotr Mikusinski |
Publisher | : Springer Science & Business Media |
Total Pages | : 300 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461200733 |
Download An Introduction to Multivariable Analysis from Vector to Manifold Book in PDF, ePub and Kindle
Multivariable analysis is of interest to pure and applied mathematicians, physicists, electrical, mechanical and systems engineers, mathematical economists, biologists, and statisticians. This book takes the student and researcher on a journey through the core topics of the subject. Systematic exposition, with numerous examples and exercises from the computational to the theoretical, makes difficult ideas as concrete as possible. Good bibliography and index.
Author | : Sarhan M. Musa |
Publisher | : Mercury Learning and Information |
Total Pages | : 491 |
Release | : 2023-02-08 |
Genre | : Mathematics |
ISBN | : 1683929179 |
Download Multivariable and Vector Calculus Book in PDF, ePub and Kindle
This book is designed primarily for undergraduates in mathematics, engineering, and the physical sciences. Rather than concentrating on technical skills, it focuses on a deeper understanding of the subject by providing many unusual and challenging examples. The basic topics of vector geometry, differentiation and integration in several variables are explored. Furthermore, it can be used to impower the mathematical knowledge for Artificial Intelligence (AI) concepts. It also provides numerous computer illustrations and tutorials using MATLAB® and Maple®, that bridge the gap between analysis and computation. Partial solutions and instructor ancillaries available for use as a textbook. FEATURES Includes numerous computer illustrations and tutorials using MATLAB®and Maple® Covers the major topics of vector geometry, differentiation, and integration in several variables Instructors’ ancillaries available upon adoption
Author | : Maxwell Rosenlicht |
Publisher | : Courier Corporation |
Total Pages | : 270 |
Release | : 2012-05-04 |
Genre | : Mathematics |
ISBN | : 0486134687 |
Download Introduction to Analysis Book in PDF, ePub and Kindle
Written for junior and senior undergraduates, this remarkably clear and accessible treatment covers set theory, the real number system, metric spaces, continuous functions, Riemann integration, multiple integrals, and more. 1968 edition.
Author | : Serge Lang |
Publisher | : Springer Science & Business Media |
Total Pages | : 624 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461210682 |
Download Calculus of Several Variables Book in PDF, ePub and Kindle
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.
Author | : Alvan R. Feinstein |
Publisher | : |
Total Pages | : |
Release | : 1996 |
Genre | : Electronic books |
ISBN | : 9780300241792 |
Download Multivariable Analysis Book in PDF, ePub and Kindle
Author | : Don Shimamoto |
Publisher | : |
Total Pages | : 322 |
Release | : 2019-11-17 |
Genre | : Calculus |
ISBN | : 9781708246990 |
Download Multivariable Calculus Book in PDF, ePub and Kindle
This book covers the standard material for a one-semester course in multivariable calculus. The topics include curves, differentiability and partial derivatives, multiple integrals, vector fields, line and surface integrals, and the theorems of Green, Stokes, and Gauss. Roughly speaking, the book is organized into three main parts corresponding to the type of function being studied: vector-valued functions of one variable, real-valued functions of many variables, and, finally, the general case of vector-valued functions of many variables. As is always the case, the most productive way for students to learn is by doing problems, and the book is written to get to the exercises as quickly as possible. The presentation is geared towards students who enjoy learning mathematics for its own sake. As a result, there is a priority placed on understanding why things are true and a recognition that, when details are sketched or omitted, that should be acknowledged. Otherwise, the level of rigor is fairly normal. Matrices are introduced and used freely. Prior experience with linear algebra is helpful, but not required. Latest corrected printing: January 8, 2020. Updated information available online at the Open Textbook Library.