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Inhaltsangabe
Rooted in a pedagogically successful problem-solving approach to linear algebra, the present work fills a gap in the literature that is sharply divided between elementary texts and books that are too advanced to appeal to a wide audience. It clearly develops the theoretical foundations of vector spaces, linear equations, matrix algebra, eigenvectors, and orthogonality, while simultaneously emphasizing applications and connections to fields such as biology, economics, computer graphics, electrical engineering, cryptography, and political science.
Ideal as an introduction to linear algebra, the extensive exercises and well-chosen applications also make this text suitable for advanced courses at the junior or senior undergraduate level. Furthermore, it can serve as a colorful supplementary problem book, reference, or self-study manual for professional scientists and mathematicians. Complete with bibliography and index, "Essential Linear Algebra with Applications" is a natural bridge between pure and applied mathematics and the natural and social sciences, appropriate for any student or researcher who needs a strong footing in the theory, problem-solving, and model-building that are the subject's hallmark.
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Über die Autorin bzw. den Autor
Titu Andreescu is an Associate Professor of Mathematics at the University of Texas at Dallas.
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This textbook provides a rigorous introduction to linear algebra in addition to material suitable for a more advanced course while emphasizing the subject s interactions with other topics in mathematics such as calculus and geometry. A problem-based approach is used to develop the theoretical foundations of vector spaces, linear equations, matrix algebra, eigenvectors, and orthogonality.
Key features include:
a thorough presentation of the main results in linear algebra along with numerous examples to illustrate the theory;
over 500 problems (half with complete solutions) carefully selected for their elegance and theoretical significance;
an interleaved discussion of geometry and linear algebra, giving readers a solid understanding of both topics and the relationship between them.
Numerous exercises and well-chosen examples make this text suitable for advanced courses at the junior or senior levels. It can also serve as a source of supplementary problems for a sophomore-level course.
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- VerlagBirkhäuser
- Erscheinungsdatum2016
- ISBN 10 1493938533
- ISBN 13 9781493938537
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten504
- Kontakt zum HerstellerNicht verfügbar
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Essential Linear Algebra with Applications
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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Numerous applications are treated in fields such as computer science, engineering, and the social sciencesOver 500 problems (roughly half solved), often presenting two or more solutions one more fundamental and elementary, the second more concept. Bestandsnummer des Verkäufers 447955379
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Essential Linear Algebra with Applications
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Rooted in a pedagogically successful problem-solving approach to linear algebra, the present work fills a gap in the literature that is sharply divided between elementary texts and books that are too advanced to appeal to a wide audience. It clearly develops the theoretical foundations of vector spaces, linear equations, matrix algebra, eigenvectors, and orthogonality, while simultaneously emphasizing applications and connections to fields such as biology, economics, computer graphics, electrical engineering, cryptography, and political science.Ideal as an introduction to linear algebra, the extensive exercises and well-chosen applications also make this text suitable for advanced courses at the junior or senior undergraduate level. Furthermore, it can serve as a colorful supplementary problem book, reference, or self-study manual for professional scientists and mathematicians. Complete with bibliography and index, 'Essential Linear Algebra with Applications' is a natural bridge between pure and applied mathematics and the natural and social sciences, appropriate for any student or researcher who needs a strong footing in the theory, problem-solving, and model-building that are the subject's hallmark. 504 pp. Englisch. Bestandsnummer des Verkäufers 9781493938537
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Essential Linear Algebra with Applications
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Taschenbuch. Zustand: Neu. Neuware -Rooted in a pedagogically successful problem-solving approach to linear algebra, this work fills a gap in the literature that is sharply divided between, on the one end, elementary texts with only limited exercises and examples, and, at the other end, books too advanced in prerequisites and too specialized in focus to appeal to a wide audience. Instead, it clearly develops the theoretical foundations of vector spaces, linear equations, matrix algebra, eigenvectors, and orthogonality, while simultaneously emphasizing applications to fields such as biology, economics, computer graphics, electrical engineering, cryptography, and political science.Key features:\* Intertwined discussion of linear algebra and geometry\* Example-driven exposition;each section starts with a concise overview of important concepts, followed by a selection of fully-solved problems\* Over 500 problems are carefully selected for instructive appeal, elegance, and theoretical importance; roughly half include complete solutions\* Two or more solutions provided to many of the problems; paired solutions range from step-by-step, elementary methods whose purpose is to strengthen basic comprehension to more sophisticated, powerful proofs to challenge advanced readers\* Appendices with review material on complex variablesIdeal as an introduction to linear algebra, the extensive exercises and well-chosen applications also make this text suitable for advanced courses at the junior or senior undergraduate level.It can serve as a colorful supplementary problem book, reference, or self-study manual for professional scientists and mathematicians. Complete with bibliography and index, this work isanatural bridge between pure/ applied mathematics and the natural/social sciences, appropriate for any student or researcher who needs a strong footing in the theory, problem-solving, and model-building that are the subject¿s hallmark.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 504 pp. Englisch. Bestandsnummer des Verkäufers 9781493938537
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Essential Linear Algebra with Applications : A Problem-Solving Approach
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Rooted in a pedagogically successful problem-solving approach to linear algebra, this work fills a gap in the literature that is sharply divided between, on the one end, elementary texts with only limited exercises and examples, and, at the other end, books too advanced in prerequisites and too specialized in focus to appeal to a wide audience. Instead, it clearly develops the theoretical foundations of vector spaces, linear equations, matrix algebra, eigenvectors, and orthogonality, while simultaneously emphasizing applications to fields such as biology, economics, computer graphics, electrical engineering, cryptography, and political science.Key features:\* Intertwined discussion of linear algebra and geometry\* Example-driven exposition; each section starts with a concise overview of important concepts, followed by a selection of fully-solved problems\* Over 500 problems are carefully selected for instructive appeal, elegance, and theoretical importance; roughly half include complete solutions\* Two or more solutions provided to many of the problems; paired solutions range from step-by-step, elementary methods whose purpose is to strengthen basic comprehension to more sophisticated, powerful proofs to challenge advanced readers\* Appendices with review material on complex variablesIdeal as an introduction to linear algebra, the extensive exercises and well-chosen applications also make this text suitable for advanced courses at the junior or senior undergraduate level. It can serve as a colorful supplementary problem book, reference, or self-study manual for professional scientists and mathematicians. Complete with bibliography and index, this work is a natural bridge between pure/ applied mathematics and the natural/social sciences, appropriate for any student or researcher who needs a strong footing in the theory, problem-solving, and model-building that are the subject's hallmark. Bestandsnummer des Verkäufers 9781493938537
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Essential Linear Algebra with Applications: A Problem-Solving Approach
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Birkhauser Boston Inc, 2016
ISBN 10: 1493938533
ISBN 13: 9781493938537
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