Linear Algebra II Volume 02: Tensor Theory and Applications (Bachelor's Degree in Mathematics)
English | 24 Jan. 2026 | ASIN: B0GJ13LPCP | 369 pages | PDF | 8.55 MB
Linear Algebra II Volume 02: Tensors and Applications Do you want to master the most sophisticated tools of modern linear algebra and gain a deep understanding of tensors, bilinear forms, and adjoint operators? This book is an advanced and comprehensive guide for students, instructors, and researchers who wish to expand their knowledge of fundamental algebraic structures, with special emphasis on applications in physics, geometry, and pure mathematics. What will you find in this volume? Duality and Adjoint Operators Explore the theory of dual spaces and adjoint operators in inner product spaces, which are fundamental in functional analysis and advanced linear algebra. Multilinearity and Tensors Understand how tensors are constructed from the tensor product, their algebraic properties, and their usefulness in representing physical laws and geometric structures. Sesquilinear Forms and Operators Acquire tools to work with self-adjoint and positive operators, and to study their spectra through sesquilinear forms. Bilinear Forms and Groups Investigate the reduction and classification of bilinear forms, and the role of transformation groups that preserve these structures. Includes: Rigorous and clear step-by-step exposition Solved examples and proposed problems Practical applications in physics, algebra, and geometry Ideal for: Undergraduate students in Mathematics, Physics, or Engineering Instructors seeking a complete and well-structured text Researchers interested in the connection between linear algebra and advanced applications Series: Bachelor's Degree in Mathematics Legal Information: Legal Deposit No.: 2026-00755 Country of origin: Peru Independent Publisher: Helbert Justo Luque Zevallos Legal address: Coop. Vista Alegre E-2, Alto Selva Alegre, Arequipa, Peru Available on Amazon Ready to master the advanced tools of linear algebra? Get your copy and strengthen your mathematical reasoning with this essential work.
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