Download or read book Vector Calculus Using Mathematica Second Edition written by Steven Tan and published by Steven Tan. This book was released on 2020-07-11 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to vector calculus with the aid of Mathematica® computer algebra system to represent them and to calculate with them. The unique features of the book, which set it apart from the existing textbooks, are the large number of illustrative examples. It is the author’s opinion a novice in science or engineering needs to see a lot of examples in which mathematics is used to be able to “speak the language.” All these examples and all illustrations can be replicated and used to learn and discover vector calculus in a new and exciting way. Reader can practice with the solutions, and then modify them to solve the particular problems assigned. This should move up problem solving skills and to use Mathematica® to visualize the results and to develop a deeper intuitive understanding. Usually, visualization provides much more insight than the formulas themselves. The second edition is an addition of the first. Two new chapters on line integrals, Green's Theorem, Stokes's Theorem and Gauss's Theorem have been added.
Download or read book Multivariable Calculus and Mathematica written by Kevin R. Coombes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Vector Calculus Using Mathematica written by Steven Tan and published by Lulu.com. This book was released on with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Calculus in Vector Spaces Second Edition Revised Expanded written by Lawrence Corwin and published by CRC Press. This book was released on 1994-12-08 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus in Vector Spaces addresses linear algebra from the basics to the spectral theorem and examines a range of topics in multivariable calculus. This second edition introduces, among other topics, the derivative as a linear transformation, presents linear algebra in a concrete context based on complementary ideas in calculus, and explains differential forms on Euclidean space, allowing for Green's theorem, Gauss's theorem, and Stokes's theorem to be understood in a natural setting. Mathematical analysts, algebraists, engineers, physicists, and students taking advanced calculus and linear algebra courses should find this book useful.
Download or read book Mathematica Projects for Vector Calculus written by Michael Neumann and published by Kendall/Hunt Publishing Company. This book was released on 1996 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Art of Modeling in Science and Engineering with Mathematica Second Edition written by Diran Basmadjian and published by CRC Press. This book was released on 2006-08-18 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thoroughly revised and updated, The Art of Modeling in Science and Engineering with Mathematica®, Second Edition explores the mathematical tools and procedures used in modeling based on the laws of conservation of mass, energy, momentum, and electrical charge. The authors have culled and consolidated the best from the first edition and expanded the range of applied examples to reach a wider audience. The text proceeds, in measured steps, from simple models of real-world problems at the algebraic and ordinary differential equations (ODE) levels to more sophisticated models requiring partial differential equations. The traditional solution methods are supplemented with Mathematica , which is used throughout the text to arrive at solutions for many of the problems presented. The text is enlivened with a host of illustrations and practice problems drawn from classical and contemporary sources. They range from Thomson’s famous experiment to determine e/m and Euler’s model for the buckling of a strut to an analysis of the propagation of emissions and the performance of wind turbines. The mathematical tools required are first explained in separate chapters and then carried along throughout the text to solve and analyze the models. Commentaries at the end of each illustration draw attention to the pitfalls to be avoided and, perhaps most important, alert the reader to unexpected results that defy conventional wisdom. These features and more make the book the perfect tool for resolving three common difficulties: the proper choice of model, the absence of precise solutions, and the need to make suitable simplifying assumptions and approximations. The book covers a wide range of physical processes and phenomena drawn from various disciplines and clearly illuminates the link between the physical system being modeled and the mathematical expression that results.
Download or read book Calculus in Vector Spaces Revised Expanded written by Lawrence Corwin and published by Routledge. This book was released on 2017-11-22 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus in Vector Spaces addresses linear algebra from the basics to the spectral theorem and examines a range of topics in multivariable calculus. This second edition introduces, among other topics, the derivative as a linear transformation, presents linear algebra in a concrete context based on complementary ideas in calculus, and explains differential forms on Euclidean space, allowing for Green's theorem, Gauss's theorem, and Stokes's theorem to be understood in a natural setting. Mathematical analysts, algebraists, engineers, physicists, and students taking advanced calculus and linear algebra courses should find this book useful.
Download or read book Calculus Mathematica written by Bill Davis and published by Addison Wesley Publishing Company. This book was released on 1994 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Student solution manual for the second edition of vector calculus linear algebra and differential forms written by John H. Hubbard and published by . This book was released on 2002-01-01 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains worked-out solutions to odd exercises in "Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach," by John H. Hubbard, professor of mathematics at Cornell University, and Barbara Burke Hubbard
Download or read book Vector Analysis for Mathematicians Scientists and Engineers written by S. Simons and published by Elsevier. This book was released on 2014-05-15 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vector Analysis for Mathematicians, Scientists and Engineers, Second Edition, provides an understanding of the methods of vector algebra and calculus to the extent that the student will readily follow those works which make use of them, and further, will be able to employ them himself in his own branch of science. New concepts and methods introduced are illustrated by examples drawn from fields with which the student is familiar, and a large number of both worked and unworked exercises are provided. The book begins with an introduction to vectors, covering their representation, addition, geometrical applications, and components. Separate chapters discuss the products of vectors; the products of three or four vectors; the differentiation of vectors; gradient, divergence, and curl; line, surface, and volume integrals; theorems of vector integration; and orthogonal curvilinear coordinates. The final chapter presents an application of vector analysis. Answers to odd-numbered exercises are provided as the end of the book.
Download or read book Vector Calculus written by Thomas H. Barr and published by Pearson. This book was released on 2001 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: For one semester, sophomore-level courses in Vector Calculus and Multivariable Calculus. This brief book presents an accessible treatment of multivariable calculus with an early emphasis on linear algebra as a tool. The organization of the text draws strong analogies with the basic ideas of elementary calculus (derivative, integral, and fundamental theorem). Traditional in approach, it is written with an assumption that the student may have computing facilities for two- and three-dimensional graphics, and for doing symbolic algebra.
Download or read book The Joy of Mathematica written by Alan Shuchat and published by Academic Press. This book was released on 2000 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Joy of Mathematica, Second Edition, is a book and software combination for Windows and Macintosh that makes Mathematica easier to use and learn. The software includes the most common Mathematica operations needed in the first two years of college and university courses. The book is a manual for the software and an introduction to using Mathematica for mathematics and its applications to other fields. It contains material for students in calculus, differential equations, and linear algebra courses. Students and professionals will benefit from this user-friendly, practical guide to Mathematica. * The CD: * Runs on both Windows and Power Macintosh platforms * Is optimized for Mathematica 4.0 * Requires that Mathematica's kernel and front end be on the same computer * Includes a palette for easy entry of common mathematical notation The Book: * Contains ready-to-use exercises and labs for the mathematics classroom * Now includes more coverage of multivariable calculus and differential equations, in addition to single-variable calculus and linear algebra
Download or read book Calculus Using Mathematica written by K.D. Stroyan and published by Academic Press. This book was released on 2014-05-10 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus Using Mathematica: Scientific Projects and Mathematical Background is a companion to the core text, Calculus Using Mathematica. The book contains projects that illustrate applications of calculus to a variety of practical situations. The text consists of 14 chapters of various projects on how to apply the concepts and methodologies of calculus. Chapters are devoted to epidemiological applications; log and exponential functions in science; applications to mechanics, optics, economics, and ecology. Applications of linear differential equations; forced linear equations; differential equations from vector geometry; and to chemical reactions are presented as well. College students of calculus will find this book very helpful.
Download or read book Multivariable Calculus with Mathematica written by Robert P. Gilbert and published by CRC Press. This book was released on 2020-11-25 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Vector Calculus written by Alice Gorguis and published by Xlibris Corporation. This book was released on 2013-07-31 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is intended for a one-semester course in the Calculus of functions of several variables and vector analysis taught at college level. This course is, normally known as , vector calculus, or multi variable calculus, or simply calculus-III. The course usually is preceded by a beginning course in linear algebra. The prerequisite for this course is the knowledge of the fundamen- tal of one-variable calculus, differentiation and integration of the standard functions. The text includes most of the basic theories as well as many related examples and problems. There are many exercises throughout the text, which in my experience are more than enough for a semester course in this subject. I include enough examples for each topics in each section to illustrate and help the student to practice his/her skills. Also, added problems that ask the student to reflect on and explore in his/her own words some of the important ideas of Vector Calculus. I have included material enough to be covered during a simple semester with- out a hassle, and it should be possible to work through the entire book with reasonable care. Most of the exercises are relatively routine computations to moderate and productive problems, to help the students understand the concept of each topic. Each section in a chapter is concluded with a set of exercises that review and extend the ideas that was introduced in the chapter, or section. Computer softwares were not included in this book. Most of the exercises can be solved easily by hand, but I advise the students to use Mathematica, or Maple to graph the functions in each problem to visualize the problem, and understand it better. Some of the homework might require the use of Mathematica.
Download or read book Classical Mechanics with Mathematica written by Antonio Romano and published by Springer. This book was released on 2018-05-29 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject. Developed by the authors from over 30 years of teaching experience, the presentation is designed to give students an overview of the many different models used through the history of the field—from Newton to Hamilton—while also painting a clear picture of the most modern developments. The text is organized into two parts. The first focuses on developing the mathematical framework of linear algebra and differential geometry necessary for the remainder of the book. Topics covered include tensor algebra, Euclidean and symplectic vector spaces, differential manifolds, and absolute differential calculus. The second part of the book applies these topics to kinematics, rigid body dynamics, Lagrangian and Hamiltonian dynamics, Hamilton–Jacobi theory, completely integrable systems, statistical mechanics of equilibrium, and impulsive dynamics, among others. This new edition has been completely revised and updated and now includes almost 200 exercises, as well as new chapters on celestial mechanics, one-dimensional continuous systems, and variational calculus with applications. Several Mathematica® notebooks are available to download that will further aid students in their understanding of some of the more difficult material. Unique in its scope of coverage and method of approach, Classical Mechanics with Mathematica® will be useful resource for graduate students and advanced undergraduates in applied mathematics and physics who hope to gain a deeper understanding of mechanics.
Download or read book Mathematica by Example written by Martha L. Abell and published by Elsevier. This book was released on 2004-01-19 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third edition of Mathematica by Example is completely compatible with recent Mathematica versions. Highly readable and informative, this volume is geared toward the beginning Mathematica user, and focuses on the most often used features of this powerful tool. The book covers popular applications of mathematics within different areas including calculus, linear algebra, ordinary differential equations, and partial differential equations. * Fully compatible with recent releases of Mathematica* Includes CD-ROM containing all input used in text* Focuses on the beginning Mathematica user* Covers all the basics needed to get up and running with Mathematica, especially for use in mathematics* Written by authors of several successful AP books on Mathematica
