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Introduction to Mathematica® with Applications

o abscisa {}= 1 - son ordinate U 4 x'(t)*-i-y'(t)*--z'(t)* # 0 for all t, where r(t) = (x(t), y
(t), z(t)) are the Cartesian coordinates of a point r(t) on the curve. Its arc length is s
(t) = | VIV(u)2 + [y/(u)2 + [g(u)2 du = | |r'(u)|du. If x'(t)* +y'(t)* + z'(t)*# 0 for all t in ...

Author : Marian Mureşan

Release : 2017-02-21

Publisher : Springer

ISBN : 3319520032

File Size : 68.5 MB

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Starting with an introduction to the numerous features of Mathematica®, this book continues with more complex material. It provides the reader with lots of examples and illustrations of how the benefits of Mathematica® can be used. Composed of eleven chapters, it includes the following: A chapter on several sorting algorithms Functions (planar and solid) with many interesting examples Ordinary differential equations Advantages of Mathematica® dealing with the Pi number The power of Mathematica® working with optimal control problems Introduction to Mathematica® with Applications will appeal to researchers, professors and students requiring a computational tool.

An Introduction to Programming with Mathematica®

This is the ideal text for all scientific students, researchers, and programmers wishing to deepen their understanding of Mathematica, or even those keen to program using an interactive language that contains programming paradigms from all ...

Author : Paul R. Wellin

Release : 2005-01-13

Publisher : Cambridge University Press

ISBN : 9780521846783

File Size : 79.27 MB

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An Introduction to Programming with Mathematica® is designed to introduce the Mathematica programming language to a wide audience. Since the last edition of this book was published, significant changes have occurred in Mathematica and its use worldwide. Keeping pace with these changes, this substantially larger, updated version includes new and revised chapters on numerics, procedural, rule-based, and front-end programming, and gives significant coverage to the latest features up to, and including, Mathematica 5.1 Mathematica notebooks, available from www.cambridge.org/0521846781, contain examples, programs, and solutions to exercises in the book. Additionally, material to supplement later versions of the software will be made available. This is the ideal text for all scientific students, researchers, and programmers wishing to deepen their understanding of Mathematica, or even those keen to program using an interactive language that contains programming paradigms from all major programming languages: procedural, functional, recursive, rule-based, and object-oriented.

Introduction to the Mathematics of Operations Research with Mathematica®

Introduction to Mathematical Statistics, 4th ed. Macmillan ... (37) Howard, R.
Dynamic Programming and Markov Processes. ... (48) Parzen, E. Modern
Probability Theory and its Applications. ... (60) Wolfram, S. The Mathematica
Book, 3rd ed.

Author : Kevin J. Hastings

Release : 2018-10-24

Publisher : CRC Press

ISBN : 1351992163

File Size : 70.60 MB

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The breadth of information about operations research and the overwhelming size of previous sources on the subject make it a difficult topic for non-specialists to grasp. Fortunately, Introduction to the Mathematics of Operations Research with Mathematica®, Second Edition delivers a concise analysis that benefits professionals in operations research and related fields in statistics, management, applied mathematics, and finance. The second edition retains the character of the earlier version, while incorporating developments in the sphere of operations research, technology, and mathematics pedagogy. Covering the topics crucial to applied mathematics, it examines graph theory, linear programming, stochastic processes, and dynamic programming. This self-contained text includes an accompanying electronic version and a package of useful commands. The electronic version is in the form of Mathematica notebooks, enabling you to devise, edit, and execute/reexecute commands, increasing your level of comprehension and problem-solving. Mathematica sharpens the impact of this book by allowing you to conveniently carry out graph algorithms, experiment with large powers of adjacency matrices in order to check the path counting theorem and Markov chains, construct feasible regions of linear programming problems, and use the "dictionary" method to solve these problems. You can also create simulators for Markov chains, Poisson processes, and Brownian motions in Mathematica, increasing your understanding of the defining conditions of these processes. Among many other benefits, Mathematica also promotes recursive solutions for problems related to first passage times and absorption probabilities.

Introduction to Partial Differential Equations for Scientists and Engineers Using Mathematica

I'T r) CXC) CXC) 7.4.2 The Hankel Transform Method. ... Let f(r) be a function
defined on [0, oo). ... Important cases for Our applications in solving partial
differential equations are n = 0 and n = 1 and the most important properties (for
our ...

Author : Kuzman Adzievski

Release : 2016-04-19

Publisher : CRC Press

ISBN : 1466510579

File Size : 80.28 MB

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With a special emphasis on engineering and science applications, this textbook provides a mathematical introduction to PDEs at the undergraduate level. It takes a new approach to PDEs by presenting computation as an integral part of the study of differential equations. The authors use Mathematica along with graphics to improve understanding and int

Multivariable Calculus and Mathematica®

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 ...

Author : Kevin R. Coombes

Release : 2012-12-06

Publisher : Springer Science & Business Media

ISBN : 1461216982

File Size : 26.68 MB

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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.

Introduction to the Calculus of Variations and Control with Modern Applications

... Mathematica®: Second Edition, David H. von Seggern Discovering Evolution
Equations with Applications: Volume I ... and Physics, Victor A. Galaktionov and
Sergey R. Svirshchevskii Fourier Series in Several Variables with Applications to
 ...

Author : John A. Burns

Release : 2013-08-28

Publisher : CRC Press

ISBN : 146657139X

File Size : 86.71 MB

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Introduction to the Calculus of Variations and Control with Modern Applications provides the fundamental background required to develop rigorous necessary conditions that are the starting points for theoretical and numerical approaches to modern variational calculus and control problems. The book also presents some classical sufficient conditions and discusses the importance of distinguishing between the necessary and sufficient conditions. In the first part of the text, the author develops the calculus of variations and provides complete proofs of the main results. He explains how the ideas behind the proofs are essential to the development of modern optimization and control theory. Focusing on optimal control problems, the second part shows how optimal control is a natural extension of the classical calculus of variations to more complex problems. By emphasizing the basic ideas and their mathematical development, this book gives you the foundation to use these mathematical tools to then tackle new problems. The text moves from simple to more complex problems, allowing you to see how the fundamental theory can be modified to address more difficult and advanced challenges. This approach helps you understand how to deal with future problems and applications in a realistic work environment.

Fourier Modal Method and Its Applications in Computational Nanophotonics

Modern Introduction to Surface Plasmons: Theory, Mathematica Modeling, and
Applications. (Cambridge. University. Press,. Cambridge,.2010). . 9.. J..D..
Joannopoulos,.S..G..Johnson,.J..N..Winn,.and.R..D..Meade,.Photonic Crystals:
Molding ...

Author : Hwi Kim

Release : 2012-03-05

Publisher : CRC Press

ISBN : 1420088394

File Size : 20.60 MB

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Most available books on computational electrodynamics are focused on FDTD, FEM, or other specific technique developed in microwave engineering. In contrast, Fourier Modal Method and Its Applications in Computational Nanophotonics is a complete guide to the principles and detailed mathematics of the up-to-date Fourier modal method of optical analysis. It takes readers through the implementation of MATLAB® codes for practical modeling of well-known and promising nanophotonic structures. The authors also address the limitations of the Fourier modal method. Features Provides a comprehensive guide to the principles, methods, and mathematics of the Fourier modal method Explores the emerging field of computational nanophotonics Presents clear, step-by-step, practical explanations on how to use the Fourier modal method for photonics and nanophotonics applications Includes the necessary MATLAB codes, enabling readers to construct their own code Using this book, graduate students and researchers can learn about nanophotonics simulations through a comprehensive treatment of the mathematics underlying the Fourier modal method and examples of practical problems solved with MATLAB codes.

Acta mathematica

A . BEURLING , Sur les intégrales de Fourier absolument convergentes et leur
application à une transformation fonctionelle . ... C . R . Acad . Sci . Paris , 225 (
1947 ) . [ 5 ] . - On the spectral synthesis of bounded functions . Acta Math . , 81 (
1949 ) . [ 6 ] . ... L . LOOMIS , An Introduction to Abstract Harmonic Analysis .

Author :

Release : 1956

Publisher :

ISBN :

File Size : 69.71 MB

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An Introduction to Partial Differential Equations with MATLAB

... Mathematica®: Second Edition, David H. von Seggern Discovering Evolution
Equations with Applications: Volume ... and Physics, Victor A. Galaktionov and
Sergey R. Svirshchevskii Fourier Series in Several Variables with Applications to
 ...

Author : Matthew P. Coleman

Release : 2016-04-19

Publisher : CRC Press

ISBN : 1439898472

File Size : 43.23 MB

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An Introduction to Partial Differential Equations with MATLAB®, Second Edition illustrates the usefulness of PDEs through numerous applications and helps students appreciate the beauty of the underlying mathematics. Updated throughout, this second edition of a bestseller shows students how PDEs can model diverse problems, including the flow of heat, the propagation of sound waves, the spread of algae along the ocean’s surface, the fluctuation in the price of a stock option, and the quantum mechanical behavior of a hydrogen atom. Suitable for a two-semester introduction to PDEs and Fourier series for mathematics, physics, and engineering students, the text teaches the equations based on method of solution. It provides both physical and mathematical motivation as much as possible. The author treats problems in one spatial dimension before dealing with those in higher dimensions. He covers PDEs on bounded domains and then on unbounded domains, introducing students to Fourier series early on in the text. Each chapter’s prelude explains what and why material is to be covered and considers the material in a historical setting. The text also contains many exercises, including standard ones and graphical problems using MATLAB. While the book can be used without MATLAB, instructors and students are encouraged to take advantage of MATLAB’s excellent graphics capabilities. The MATLAB code used to generate the tables and figures is available in an appendix and on the author’s website.

Partial Differential Equations and Mathematica

New in this edition: Upgraded and expanded Mathematica sections that include more exercises An entire chapter on boundary value problems More on inverse operators, Legendre functions, and Bessel functions Simplified treatment of Green's ...

Author : Prem K. Kythe

Release : 2002-11-12

Publisher : CRC Press

ISBN : 9781584883142

File Size : 30.32 MB

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Early training in the elementary techniques of partial differential equations is invaluable to students in engineering and the sciences as well as mathematics. However, to be effective, an undergraduate introduction must be carefully designed to be challenging, yet still reasonable in its demands. Judging from the first edition's popularity, instructors and students agree that despite the subject's complexity, it can be made fairly easy to understand. Revised and updated to reflect the latest version of Mathematica, Partial Differential Equations and Boundary Value Problems with Mathematica, Second Edition meets the needs of mathematics, science, and engineering students even better. While retaining systematic coverage of theory and applications, the authors have made extensive changes that improve the text's accessibility, thoroughness, and practicality. New in this edition: Upgraded and expanded Mathematica sections that include more exercises An entire chapter on boundary value problems More on inverse operators, Legendre functions, and Bessel functions Simplified treatment of Green's functions that make it more accessible to undergraduates A section on the numerical computation of Green's functions Mathemcatica codes for solving most of the problems discussed Boundary value problems from continuum mechanics, particularly on boundary layers and fluctuating flows Wave propagation and dispersion With its emphasis firmly on solution methods, this book is ideal for any mathematics curricula. It succeeds not only in preparing readers to meet the challenge of PDEs, but also in imparting the inherent beauty and applicability of the subject.

Introduction to Probability with Mathematica

We will see many interesting examples and applications there ; but here we will
focus more on the underlying concepts . Calculus and set ... Let the sample
space be 12 = R. ( The 163 - Continuous Probability From the Finite to the (Very)
Infinite.

Author : Kevin J. Hastings

Release : 2000-11-27

Publisher : CRC Press

ISBN : 9781584881094

File Size : 48.81 MB

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Newcomers to the world of probability face several potential stumbling blocks. They often struggle with key concepts-sample space, random variable, distribution, and expectation; they must regularly confront integration, infrequently mastered in calculus classes; and they must labor over lengthy, cumbersome calculations. Introduction to Probability with Mathematica is a groundbreaking text that uses a powerful computer algebra system as a pedagogical tool for learning and using probability. Its clever use of simulation to illustrate concepts and motivate important theorems gives it an important and unique place in the library of probability theory. The author smoothly integrates the technology with the traditional approach and subject matter, thereby augmenting rather than overpowering it. This book lives and breathes in the sense that not only can it be read and studied in an armchair, but each section also exists as a fully executable Mathematica® notebook on the CRC Web site. Students will find Introduction to Probability with Mathematica an engaging, accessible, yet challenging way to venture into the fascinating subject of probability.

Symmetry Analysis of Differential Equations with Mathematica®

The material in this book, and on the accompanying CD-ROM, will be of interest to a broad group of scientists, mathematicians and engineers involved in dealing with symmetry analysis of differential equations.

Author : Gerd Baumann

Release : 2013-11-21

Publisher : Springer Science & Business Media

ISBN : 1461221102

File Size : 72.97 MB

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The first book to explicitly use Mathematica so as to allow researchers and students to more easily compute and solve almost any kind of differential equation using Lie's theory. Previously time-consuming and cumbersome calculations are now much more easily and quickly performed using the Mathematica computer algebra software. The material in this book, and on the accompanying CD-ROM, will be of interest to a broad group of scientists, mathematicians and engineers involved in dealing with symmetry analysis of differential equations. Each section of the book starts with a theoretical discussion of the material, then shows the application in connection with Mathematica. The cross-platform CD-ROM contains Mathematica (version 3.0) notebooks which allow users to directly interact with the code presented within the book. In addition, the author's proprietary "MathLie" software is included, so users can readily learn to use this powerful tool in regard to performing algebraic computations.

Difference Equations

" --Martin Bohner, University of Missouri-Rolla "The authors have their finger on the current trends in difference equations. This is a well-written textbook by authors who are known as teachers and expositors.

Author : Walter G. Kelley

Release : 2001

Publisher : Academic Press

ISBN : 9780124033306

File Size : 22.47 MB

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Difference Equations, Second Edition, presents a practical introduction to this important field of solutions for engineering and the physical sciences. Topic coverage includes numerical analysis, numerical methods, differential equations, combinatorics and discrete modeling. A hallmark of this revision is the diverse application to many subfields of mathematics. Phase plane analysis for systems of two linear equations Use of equations of variation to approximate solutions Fundamental matrices and Floquet theory for periodic systems LaSalle invariance theorem Additional applications: secant line method, Bison problem, juvenile-adult population model, probability theory Appendix on the use of Mathematica for analyzing difference equaitons Exponential generating functions Many new examples and exercises

Introduction to Mathematical Logic and Its Applications

( p / r ) A 6 . NNp / p Lukasiewicz and Tarski have noted that the third of these
axioms is derivable from the first two , and that ... The reader should note , and
verify , that the five axioms of the propositional calculus of Principia Mathematica
are ...

Author : Ira Rosenbaum

Release : 1950

Publisher :

ISBN :

File Size : 84.12 MB

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Modern Introduction to Surface Plasmons

Theory, Mathematica Modeling, and Applications Dror Sarid, William A.
Challener ... treating a metamate- rial, we will denote its relative permittivity and
permeability, refractive index, and radius and angle in an ε r –μ r parameter
space by εm, ...

Author : Dror Sarid

Release : 2010-05-06

Publisher : Cambridge University Press

ISBN : 0521767172

File Size : 85.65 MB

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This book introduces graduate students in physics, optics, materials science and electrical engineering to surface plasmons, and applications of surface plasmon physics.

The Mathematica GuideBook for Programming

This first volume begins with the structure of Mathematica expressions, the syntax of Mathematica, its programming, graphic, numeric and symbolic capabilities.

Author : Michael Trott

Release : 2004-10-28

Publisher : Springer Science & Business Media

ISBN : 9780387942827

File Size : 64.3 MB

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This comprehensive, detailed reference provides readers with both a working knowledge of Mathematica in general and a detailed knowledge of the key aspects needed to create the fastest, shortest, and most elegant implementations possible. It gives users a deeper understanding of Mathematica by instructive implementations, explanations, and examples from a range of disciplines at varying levels of complexity. The three volumes -- Programming, Graphics, and Mathematics, total 3,000 pages and contain more than 15,000 Mathematica inputs, over 1,500 graphics, 4,000+ references, and more than 500 exercises. This first volume begins with the structure of Mathematica expressions, the syntax of Mathematica, its programming, graphic, numeric and symbolic capabilities. It then covers the hierarchical construction of objects out of symbolic expressions, the definition of functions, the recognition of patterns and their efficient application, program flows and program structuring, and the manipulation of lists. An indispensible resource for students, researchers and professionals in mathematics, the sciences, and engineering.

Mathematics Today

The Institute of Mathematics and its Applications Catherine Richards House , 16
Nelson Street , Southend - on - Sea , Essex SS1 1EF Tel : 01702 354020 ... Web :
http : / / www . ima . org . uk N = Network P = Presidential Lecture 19 R 168 L 81
Rp 158 B 163 N 34 N 24 B 153 R 131 N 11 R 4 , 69 N 26 B 26 B 131 ... The
Video Symmetry in Science , An Introduction to the General Theory Vita
Mathematica .

Author :

Release : 1998

Publisher :

ISBN :

File Size : 66.76 MB

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An Introduction to Linear Programming and Game Theory

Praise for the Second Edition: "This is quite a well-done book: very tightly organized, better-than-average exposition, and numerous examples, illustrations, and applications." —Mathematical Reviews of the American Mathematical Society An ...

Author : Paul R. Thie

Release : 2011-09-15

Publisher : John Wiley & Sons

ISBN : 1118165454

File Size : 42.38 MB

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Praise for the Second Edition: "This is quite a well-done book: very tightly organized,better-than-average exposition, and numerous examples,illustrations, and applications." —Mathematical Reviews of the American MathematicalSociety An Introduction to Linear Programming and Game Theory, ThirdEdition presents a rigorous, yet accessible, introduction tothe theoretical concepts and computational techniques of linearprogramming and game theory. Now with more extensive modelingexercises and detailed integer programming examples, this bookuniquely illustrates how mathematics can be used in real-worldapplications in the social, life, and managerial sciences,providing readers with the opportunity to develop and apply theiranalytical abilities when solving realistic problems. This Third Edition addresses various new topics and improvementsin the field of mathematical programming, and it also presents twosoftware programs, LP Assistant and the Solver add-in for MicrosoftOffice Excel, for solving linear programming problems. LPAssistant, developed by coauthor Gerard Keough, allows readers toperform the basic steps of the algorithms provided in the book andis freely available via the book's related Web site. The use of thesensitivity analysis report and integer programming algorithm fromthe Solver add-in for Microsoft Office Excel is introduced soreaders can solve the book's linear and integer programmingproblems. A detailed appendix contains instructions for the use ofboth applications. Additional features of the Third Edition include: A discussion of sensitivity analysis for the two-variableproblem, along with new examples demonstrating integer programming,non-linear programming, and make vs. buy models Revised proofs and a discussion on the relevance and solution ofthe dual problem A section on developing an example in Data EnvelopmentAnalysis An outline of the proof of John Nash's theorem on the existenceof equilibrium strategy pairs for non-cooperative, non-zero-sumgames Providing a complete mathematical development of all presentedconcepts and examples, Introduction to Linear Programming andGame Theory, Third Edition is an ideal text for linearprogramming and mathematical modeling courses at theupper-undergraduate and graduate levels. It also serves as avaluable reference for professionals who use game theory inbusiness, economics, and management science.

Challenging the Boundaries of Symbolic Computation

This volume consists of papers delivered at the International Mathematica Symposium 2003 OCo an interdisciplinary meeting bringing together users of Mathematica in research and education.

Author : Janet Carne

Release : 2003

Publisher : Imperial College Press

ISBN : 9781848161313

File Size : 33.62 MB

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This volume consists of papers delivered at the International Mathematica Symposium 2003 OCo an interdisciplinary meeting bringing together users of Mathematica in research and education. It gathers research papers, reports on classroom practice, reports on the use of Mathematica in industry and commerce, and descriptions of fresh applications. List of contributors: J Nash, S Wolfram, R Maeder, B Buchberger and C McTague. Contents: Algebraic Computation; Applied Mathematics; Education; Physics; Pure Mathematics; Statistics and Probability; Visualisation; Miscellaneous. Readership: Users of Mathematica for research, education and industry; developers of Mathematica applications; users of symbolic computation methods."

Principles of Linear Algebra with Mathematica

The book is also an ideal reference for students and professionals who would like to gain a further understanding of the use of Mathematica to solve linear algebra problems.

Author : Kenneth M. Shiskowski

Release : 2011-08-02

Publisher : John Wiley & Sons

ISBN : 0470637951

File Size : 22.61 MB

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A hands-on introduction to the theoretical and computational aspects of linear algebra using Mathematica® Many topics in linear algebra are simple, yet computationally intensive, and computer algebra systems such as Mathematica® are essential not only for learning to apply the concepts to computationally challenging problems, but also for visualizing many of the geometric aspects within this field of study. Principles of Linear Algebra with Mathematica uniquely bridges the gap between beginning linear algebra and computational linear algebra that is often encountered in applied settings, and the commands required to solve complex and computationally challenging problems using Mathematica are provided. The book begins with an introduction to the commands and programming guidelines for working with Mathematica. Next, the authors explore linear systems of equations and matrices, applications of linear systems and matrices, determinants, inverses, and Cramer's rule. Basic linear algebra topics, such as vectors, dot product, cross product, and vector projection are explored, as well as a unique variety of more advanced topics including rotations in space, 'rolling' a circle along a curve, and the TNB Frame. Subsequent chapters feature coverage of linear transformations from Rn to Rm, the geometry of linear and affine transformations, with an exploration of their effect on arclength, area, and volume, least squares fits, and pseudoinverses. Mathematica is used to enhance concepts and is seamlessly integrated throughout the book through symbolic manipulations, numerical computations, graphics in two and three dimensions, animations, and programming. Each section concludes with standard problems in addition to problems that were specifically designed to be solved with Mathematica, allowing readers to test their comprehension of the presented material. All related Mathematica code is available on a corresponding website, along with solutions to problems and additional topical resources. Extensively class-tested to ensure an accessible presentation, Principles of Linear Algebra with Mathematica is an excellent book for courses on linear algebra at the undergraduate level. The book is also an ideal reference for students and professionals who would like to gain a further understanding of the use of Mathematica to solve linear algebra problems.