Multivariable Calculus Download Ebook PDF Epub Online

Author : Gerard Walschap
Publisher : Walter de Gruyter GmbH & Co KG
Release : 2015-07-01
Page : 365
Category : Mathematics
ISBN 13 : 3110369540
Description :


This book offers an introduction to differential geometry for the non-specialist. It includes most of the required material from multivariable calculus, linear algebra, and basic analysis. An intuitive approach and a minimum of prerequisites make it a valuable companion for students of mathematics and physics. The main focus is on manifolds in Euclidean space and the metric properties they inherit from it. Among the topics discussed are curvature and how it affects the shape of space, and the generalization of the fundamental theorem of calculus known as Stokes' theorem.


Author : L. Corwin
Publisher : Routledge
Release : 2017-10-19
Page : 546
Category : Mathematics
ISBN 13 : 1351429523
Description :


Classroom-tested and lucidly written, Multivariable Calculus gives a thorough and rigoroustreatment of differential and integral calculus of functions of several variables. Designed as ajunior-level textbook for an advanced calculus course, this book covers a variety of notions,including continuity , differentiation, multiple integrals, line and surface integrals, differentialforms, and infinite series. Numerous exercises and examples throughout the book facilitatethe student's understanding of important concepts.The level of rigor in this textbook is high; virtually every result is accompanied by a proof. Toaccommodate teachers' individual needs, the material is organized so that proofs can be deemphasizedor even omitted. Linear algebra for n-dimensional Euclidean space is developedwhen required for the calculus; for example, linear transformations are discussed for the treatmentof derivatives.Featuring a detailed discussion of differential forms and Stokes' theorem, Multivariable Calculusis an excellent textbook for junior-level advanced calculus courses and it is also usefulfor sophomores who have a strong background in single-variable calculus. A two-year calculussequence or a one-year honor calculus course is required for the most successful use of thistextbook. Students will benefit enormously from this book's systematic approach to mathematicalanalysis, which will ultimately prepare them for more advanced topics in the field.


Author : Theodore Shifrin
Publisher : John Wiley & Sons
Release : 2005
Page : 491
Category : Algebras, Linear
ISBN 13 :
Description :


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.


Author : Kevin R. Coombes
Ronald L. Lipsman
Publisher : Springer Science & Business Media
Release : 2012-12-06
Page : 283
Category : Mathematics
ISBN 13 : 1461216982
Description :


Aiming to "modernise" the course through the integration of Mathematica, this publication introduces students to its multivariable uses, instructs them on its use as a tool in simplifying calculations, and presents introductions to geometry, mathematical physics, and kinematics. The authors make it clear that Mathematica is not algorithms, but at the same time, they clearly see the ways in which Mathematica can make things cleaner, clearer and simpler. The sets of problems give students an opportunity to practice their newly learned skills, covering simple calculations, simple plots, a review of one-variable calculus using Mathematica for symbolic differentiation, integration and numerical integration, and also cover the practice of incorporating text and headings into a Mathematica notebook. The accompanying diskette contains both Mathematica 2.2 and 3.0 version notebooks, as well as sample examination problems for students, which can be used with any standard multivariable calculus textbook. It is assumed that students will also have access to an introductory primer for Mathematica.


Author : Jerrold E. Marsden
Anthony J. Tromba
Publisher : Springer Verlag
Release : 1993
Page : 533
Category : Calculus
ISBN 13 : 9783540979760
Description :


Basic Multivariable Calculus fills the need for a student-oriented text devoted exclusively to the third-semester course in multivariable calculus.In this text, the basic algebraic, analytic, and geometric concepts of multivariable and vector calculus are carefully explained, with an emphasis on developing the student's intuitive understanding and computational technique. A wealth of figures supports geometrical interpretation, while exercise sets, review sections, practice exams, and historical notes keep the students active in, and involved with, the mathematical ideas. All necessary linear algebra is developed within the text, and the material can be readily coordinated with computer laboratories.Basic Multivariable Calculus is the product of an extensive writing, revising, and class-testing collaboration by the authors of Calculus III (Springer-Verlag) and Vector Calculus (W.H. Freeman & Co.). Incorporating many features from these highly respected texts, it is both a synthesis of the authors' previous work and a new and original textbook.


Author : Rolland Trapp
Publisher : Oxford University Press, USA
Release : 2019-10-10
Page : 480
Category : Calculus
ISBN 13 : 0198835175
Description :


In this modern treatment of the topic, Rolland Trapp presents an accessible introduction to the topic of multivariable calculus, supplemented by the use of fully interactive three-dimensional graphics throughout the text. Multivariable Calculus opens with an introduction to points, curves and surfaces, easing student transitions from two- to three-dimensions, and concludes with the main theorems of vector calculus. All standard topics of multivariable calculus are covered in between, including a variety of applications within the physical sciences. The exposition combines rigor and intuition, resulting in a well-rounded resource for students of the subject. In addition, the interactive three-dimensional graphics, accessible through the electronic text or via the companion website, enhance student understanding while improving their acuity. The style of composition, sequencing of subjects, and interactive graphics combine to form a useful text that appeals to a broad audience: students in the sciences, technology, engineering, and mathematics alike.


Author : Robert P. Gilbert
Michael Shoushani
Publisher : CRC Press
Release : 2020-11-25
Page : 418
Category : Mathematics
ISBN 13 : 1351665464
Description :


Multivariable Calculus with Mathematica is a textbook addressing the calculus of several variables. Instead of just using Mathematica to directly solve problems, the students are encouraged to learn the syntax and to write their own code to solve problems. This not only encourages scientific computing skills but at the same time stresses the complete understanding of the mathematics. Questions are provided at the end of the chapters to test the student’s theoretical understanding of the mathematics, and there are also computer algebra questions which test the student’s ability to apply their knowledge in non-trivial ways. Features Ensures that students are not just using the package to directly solve problems, but learning the syntax to write their own code to solve problems Suitable as a main textbook for a Calculus III course, and as a supplementary text for topics scientific computing, engineering, and mathematical physics Written in a style that engages the students’ interest and encourages the understanding of the mathematical ideas


Author : Clark Bray
Publisher :
Release : 2013-02-21
Page : 484
Category : Calculus
ISBN 13 : 9781482550740
Description :


For more information, including an entire collection of free video lectures and video help with exercises, see the book webpage at: http: //www.math.duke.edu/ cbray/mv/ This is a textbook on multivariable calculus, whose target audience is the students in Math 212 at Duke University -- a course in multivariable calculus intended for students majoring in the sciences and engineering. This book has been used in summer offerings of that course several times, taught by Clark Bray. It is intended to fill a gap in the spectrum of multivariable calculus textbooks. It goes beyond books that are oriented around formulas that students can simply memorize, but it does not include the abstraction and rigor that can be found in books that give the most complete and sophisticated presentations of the material. This book would be appropriate for use at any university. It assumes only that the student is proficient in single variable calculus and its prerequisites. The material in this book is developed in a way such that students can see a motivation behind the development, not just the results. The emphasis is on giving students a way to visualize the ideas and see the connections between them, with less emphasis on rigor. The book includes substantial applications, including much discussion of gravitational, electric, and magnetic fields, Maxwell's laws, and the relationships of these physical ideas to the vector calculus theorems of Gauss and Stokes. It also includes a brief discussion of linear algebra, allowing for the discussion of the derivative transformation and Jacobian matrices, which are then used often elsewhere in the book. And there are extensive discussions of multivariable functions and the different ways to represent them geometrically, manipulating multivariable equations and the effects on the solution sets.


Author : James Stewart
Publisher : Cengage Learning
Release : 2015-05-26
Page : 624
Category : Mathematics
ISBN 13 : 9781305266643
Description :


Reflecting Cengage Learning's commitment to offering flexible teaching solutions and value for students and instructors, these hybrid versions feature the instructional presentation found in the printed text while delivering end-of-section and/or end-of chapter exercises online in Enhanced WebAssign. The result—a briefer printed text that engages students online! James Stewart's CALCULUS texts are widely renowned for their mathematical precision and accuracy, clarity of exposition, and outstanding examples and problem sets. Millions of students worldwide have explored calculus through Stewart's trademark style, while instructors have turned to his approach time and time again. In the Eighth Edition of MULTIVARIABLE CALCULUS, Stewart continues to set the standard for the course while adding carefully revised content. The patient explanations, superb exercises, focus on problem solving, and carefully graded problem sets that have made Stewart's texts best-sellers continue to provide a strong foundation for the Eighth Edition. From the least prepared student to the most mathematically gifted, Stewart's writing and presentation serve to enhance understanding and build confidence. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.


Author : Peter D. Lax
Maria Shea Terrell
Publisher : Springer
Release : 2018-03-12
Page : 483
Category : Mathematics
ISBN 13 : 3319740733
Description :


This text in multivariable calculus fosters comprehension through meaningful explanations. Written with students in mathematics, the physical sciences, and engineering in mind, it extends concepts from single variable calculus such as derivative, integral, and important theorems to partial derivatives, multiple integrals, Stokes’ and divergence theorems. Students with a background in single variable calculus are guided through a variety of problem solving techniques and practice problems. Examples from the physical sciences are utilized to highlight the essential relationship between calculus and modern science. The symbiotic relationship between science and mathematics is shown by deriving and discussing several conservation laws, and vector calculus is utilized to describe a number of physical theories via partial differential equations. Students will learn that mathematics is the language that enables scientific ideas to be precisely formulated and that science is a source for the development of mathematics.


Author : Don Shimamoto
Publisher :
Release : 2019-11-17
Page : 322
Category : Calculus
ISBN 13 : 9781708246990
Description :


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.


Author : James Stewart
Daniel K. Clegg
Publisher :
Release : 2020-01-17
Page : 1408
Category :
ISBN 13 : 9780357042922
Description :


MULTIVARIABLE CALCULUS provides you with the strongest foundation for a STEM future. James Stewart's Calculus series is the top-seller in the world because of its problem-solving focus, mathematical precision and accuracy, and outstanding examples and problem sets. Selected and mentored by Stewart, Daniel Clegg and Saleem Watson continue his legacy and their careful refinements retain Stewart's clarity of exposition and make the 9th edition an even more usable learning tool. The accompanying WebAssign includes helpful learning support and new resources like Explore It interactive learning modules. Showing that Calculus is both practical and beautiful, the Stewart approach and WebAssign resources enhance understanding and build confidence for millions of students worldwide.


Author : Gerald L. Bradley
Karl J. Smith
Publisher : Pearson College Division
Release : 1999
Page : 472
Category : Mathematics
ISBN 13 : 9780138639457
Description :


This book blends much of the best aspects of calculus reform with the reasonable goals and methodology of traditional calculus. Readers benefit from an innovative pedagogy and a superb range of problems. Modeling is a major theme -- qualitative and quantitative problems demonstrate an extremely wide variety of mathematical, engineering, scientific, and social models. This book emphasizes writing in addition to algebra. This book thoroughly addresses topics such as Infinite Series, Polar Coordinates and Parametric Forms, Vectors in the Plane and in Space, Vector-Valued Functions, Partial Differentiation, Multiple Integration, Introduction to Vector Analysis, and Introduction to Differential Equations. Suitable for professionals in engineering, science, and math.


Author : Kevin Woolsey
Publisher : Createspace Independent Publishing Platform
Release : 2015-10-25
Page : 168
Category :
ISBN 13 : 9781518755170
Description :


In this book, intended as a supplement to another textbook or course, I attempted to condense a lot of information down and provide clear explanations of the essential concepts. Not a lot of emphasis is put on applications or rigor, but proofs or motivations at least are included for the majority of topics. The exercises, while few in number, all have solutions, with step by step solutions for some of the harder ones. This book is meant for anyone learning multivariable calculus for the first time. No experience other than a standard single variable calculus course is necessary. A (free) pdf version can be obtained here: https://leanpub.com/multivariablecalculus


Author : Jack Erjavec
Publisher :
Release : 2015-10-04
Page : 624
Category :
ISBN 13 : 9781305266735
Description :



Author : William F. Trench
Bernard Kolman
Publisher : Academic Press
Release : 2014-05-10
Page : 770
Category : Mathematics
ISBN 13 : 148325920X
Description :


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 : Dennis Zill
Warren S. Wright
Publisher : Jones & Bartlett Learning
Release : 2011-04-21
Page : 469
Category : Mathematics
ISBN 13 : 0763749664
Description :


Appropriate for the third semester in the college calculus sequence, the Fourth Edition of Multivarible Calculus maintains student-friendly writing style and robust exercises and problem sets that Dennis Zill is famous for. Ideal as a follow-up companion to Zill first volume, or as a stand-alone text, this exceptional revision presents the topics typically covered in the traditional third course, including Vector-valued Functions, Differential Calculus of Functions of Several Variables, Integral Calculus of Functions of Several Variables, Vector Integral Calculus, and an Introduction to Differential Equations.


Author : Sudhir R. Ghorpade
Balmohan V. Limaye
Publisher : Springer Science & Business Media
Release : 2010-03-20
Page : 475
Category : Mathematics
ISBN 13 : 1441916210
Description :


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.


Author :
Publisher : David R. Guichard
Release :
Page :
Category :
ISBN 13 :
Description :



Author : Ron Larson
Bruce H. Edwards
Publisher : Cengage Learning
Release : 2016-12-05
Page : 480
Category : Mathematics
ISBN 13 : 9781337275378
Description :


With a long history of innovation in the calculus market, the Larson/Edwards’ CALCULUS program has been widely praised by a generation of students and professors for solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title in the series is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning. For use in or out of the classroom, the companion website LarsonCalculus.com offers free access to multiple tools and resources to supplement students’ learning. Stepped-out solution videos with instruction are available at CalcView.com for selected exercises throughout the text. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.