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88280062
Principles of Linear Algebra with Mathematica (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)
зүйлийн дугаар:
88280062
MNT 704885
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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
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What Stands Out
Comprehensive Content
Offers a thorough exploration of linear algebra concepts, blending theory with practical applications, making it suitable for both beginners and advanced learners.
Mathematica Integration
Utilizes Mathematica software for interactive problem solving, allowing students to visualize concepts and enhance their understanding of complex mathematical frameworks.
Clear Explanations
Provides accessible explanations and step-by-step examples, catering to diverse learning styles and ensuring clarity in mastering linear algebra principles.
Бүтээгдэхүүний дэлгэрэнгүй мэдээлэл
- 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.
| Publisher | Wiley |
| Publication date | August 2, 2011 |
| Edition | 1st |
| Language | English |
| Print length | 624 pages |
| ISBN-10 | 0470637951 |
| ISBN-13 | 978-0470637951 |
| Item Weight | 2.32 pounds (1.05 kg) |
| Dimensions | 6.4 x 1.32 x 9.51 inches (16.3 x 3.4 x 24.2 cm) |
| Part of series | Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts |
Who Should Buy?
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Students in Mathematics
Ideal for undergraduate and graduate students seeking a comprehensive understanding of linear algebra concepts with practical applications.
-
Engineering Professionals
Useful for engineers needing to apply linear algebra techniques in various fields, enhanced by Mathematica's computational capabilities.
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Educators and Instructors
Great resource for teachers looking for a structured textbook to explain linear algebra using Mathematica in their curriculum.
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Casual Learners
Not suitable for individuals seeking quick summaries or basic overviews of linear algebra without in-depth theoretical exploration.
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Хэрэглэгчийн асуулт, хариулт
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Асуулт:
What topics are covered in Principles of Linear Algebra with Mathematica 1st Edition?
Хариулт: This book covers a variety of essential topics in linear algebra, including vector spaces, eigenvalues, matrix operations, and linear transformations, all supplemented with Mathematica examples that enhance understanding. The integration of software helps students visualize complex concepts, making it easier to grasp theoretical frameworks. For instance, when learning about eigenvalues, Mathematica allows users to compute and visualize these values interactively, aiding in deeper comprehension. -
Асуулт:
Who is the target audience for Principles of Linear Algebra with Mathematica 1st Edition?
Хариулт: The primary audience for this textbook includes undergraduate and graduate students in mathematics, engineering, computer science, and physics who seek to deepen their understanding of linear algebra. Additionally, educators and self-learners interested in utilizing Mathematica as a computational tool in their studies will find this book invaluable. The practical applications illustrated in the text also appeal to professionals seeking to refresh their skills in linear algebra using software. -
Асуулт:
How does Mathematica enhance the learning experience in this textbook?
Хариулт: Mathematica significantly enhances learning by providing dynamic visualizations and computations that complement the theoretical material. Students can use Mathematica to solve complex problems, check results, and explore mathematical concepts interactively. For example, when studying systems of equations, Mathematica allows users to dynamically manipulate matrices, fostering a better understanding of the underlying principles. -
Асуулт:
Are there any prerequisites for understanding the content in this book?
Хариулт: Yes, a fundamental understanding of algebra and basic calculus is recommended before diving into this textbook. Familiarity with mathematical notation and concepts will facilitate a smoother learning process. Students without prior exposure to linear algebra or Mathematica may find it beneficial to review foundational material to fully appreciate the intricacies of the topics covered. -
Асуулт:
Can Principles of Linear Algebra with Mathematica 1st Edition be used for self-study?
Хариулт: Absolutely! This textbook is structured to support self-study with clear explanations, illustrative examples, and exercises at the end of each chapter. The integration of Mathematica allows learners to experiment with concepts interactively, making it an excellent resource for independent learners. For example, students can practice problems in Mathematica and visualize their solutions, reinforcing their understanding of the material. -
Асуулт:
What makes this edition different from other linear algebra textbooks?
Хариулт: This edition distinguishes itself by integrating the computational power of Mathematica with traditional linear algebra concepts. Many textbooks focus solely on theory or application, but this book merges both, providing practical exercises that utilize Mathematica. This dual approach helps bridge the gap between theory and real-world application, such as modeling linear systems or performing data analysis. -
Асуулт:
Is there an accompanying solutions manual or resources available?
Хариулт: While the book itself primarily focuses on theory and applications, additional resources may be available through the publisher or included online. Some courses may also provide supplementary materials that align with this textbook. Utilizing Mathematica enables students to work through problems virtually, creating a robust learning environment as they engage with the exercises directly. -
Асуулт:
What programming knowledge is required to use Mathematica with this book?
Хариулт: Basic programming knowledge is helpful, but not mandatory for using Mathematica alongside this textbook. The book guides readers through essential Mathematica commands and functions that are necessary for completing exercises and understanding concepts. Beginners can explore Mathematica’s intuitive interface, while more experienced users can benefit from advanced features to enhance their learning experience. -
Асуулт:
What are some practical applications of linear algebra discussed in the book?
Хариулт: The book discusses various practical applications of linear algebra, including computer graphics, data science, machine learning, and engineering problems. For example, linear algebra plays a crucial role in graphics rendering, where matrix transformations are used to manipulate images. Understanding these applications helps students relate abstract concepts to real-world scenarios, demonstrating the relevance of linear algebra in diverse fields. -
Асуулт:
Where can I buy Principles of Linear Algebra with Mathematica 1st Edition in Mongolia?
Хариулт: You can purchase Principles of Linear Algebra with Mathematica 1st Edition from Ubuy in Mongolia. Ubuy provides a user-friendly platform equipped with various options for accessing this textbook, ensuring that you can find and order it conveniently from your location.
Linear Editorial Review
**** "Principles of Linear Algebra with Mathematica" has been warmly received by readers, particularly those from engineering and mathematical backgrounds who are eager to merge theoretical knowledge with practical skills. The book excels in presenting linear algebra in a conversational tone, which makes complex concepts more digestible, especially for self-learners. One of its standout features is the integration of Mathematica, a powerful computer algebra system. This not only helps in solving challenging problems but also serves as an invaluable tool for visualizing and understanding linear algebra concepts through practical application. The authors, Shiskowski and Frinkle, strike a commendable balance between theory and application. Their approach fosters independence in students by encouraging them to work through proofs and understand the material deeply. The downloadable Mathematica code accessible via the companion website adds further value, enabling students to apply what they've learned in a hands-on manner. Additionally, the comprehensive solutions manual aids in reinforcing the learning process with step-by-step explanations of complex problems. While the book is primarily theoretical and may be perceived as such, it remains versatile enough for practical-minded readers who are treated to “neat little hacks” in Mathematica programming. However, some reviewers felt the book could benefit from greater focus on matrix manipulations and calculations, suggesting that while it is well-rounded, it leans slightly more towards theoretical discussions. Overall, "Principles of Linear Algebra with Mathematica" is recommended for those looking to unlock the intricate relationship between linear algebra and computational techniques. It’s particularly beneficial for students who want a solid footing in both disciplines without the fluff that typically inflates the price of academic texts. **
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Давуу тал
- Clear, conversational writing style that enhances understanding
- Strong integration of Mathematica for practical applications
- Well-structured problems that reinforce learning
- Solutions manual with detailed explanations
- Encourages student independence through exercises
Сул талууд
- Theoretical focus may not suit all practical-minded students
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MNT 704885
Яг одоо захиалаад ойрын хугацаанд хүлээн аваарай Бямба гараг, 9 дүгээр сар 19
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Онцлог & Давуу талууд
- Hands-on introduction to theoretical and computational aspects of linear algebra using Mathematica
- Covers topics like linear systems, matrices, determinants, inverses, and Cramer's rule
- Explores basic linear algebra concepts and advanced topics like rotations in space and least squares fits
- Utilizes Mathematica for symbolic manipulations, numerical computations, graphics, animations, and programming
- Great for undergraduate courses on linear algebra and professionals looking to enhance their understanding of Mathematica
- Class-tested to ensure accessibility and includes problems designed to be solved with Mathematica
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