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Mathematics for Biomedical Physics

Posted By: AvaxGenius
Date: 7 Apr 2023 14:06:27
Mathematics for Biomedical Physics

Mathematics for Biomedical Physics
English | PDF | 2022 | 240 Pages | ISBN : N/A | 11.66 MB

Mathematics for Biomedical Physics is an open access peer-reviewed textbook geared to introduce several mathematical topics at the rudimentary level so that students can appreciate the applications of mathematics to the interdisciplinary field of biomedical physics. Most of the topics are presented in their simplest but rigorous form so that students can easily understand the advanced form of these topics when the need arises. Several end-of-chapter problems and chapter examples relate the applications of mathematics to biomedical physics. After mastering the topics of this book, students would be ready to embark on quantitative thinking in various topics of biology and medicine.
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Groups, Matrices, and Vector Spaces: A Group Theoretic Approach to Linear Algebra (Repost)

Posted By: AvaxGenius
Date: 21 Mar 2023 13:05:11
Groups, Matrices, and Vector Spaces: A Group Theoretic Approach to Linear Algebra (Repost)

Groups, Matrices, and Vector Spaces: A Group Theoretic Approach to Linear Algebra by James B. Carrell
English | PDF | 2017 | 414 Pages | ISBN : 0387794271 | 4.3 MB

This unique text provides a geometric approach to group theory and linear algebra, bringing to light the interesting ways in which these subjects interact. Requiring few prerequisites beyond understanding the notion of a proof, the text aims to give students a strong foundation in both geometry and algebra. Starting with preliminaries (relations, elementary combinatorics, and induction), the book then proceeds to the core topics: the elements of the theory of groups and fields (Lagrange's Theorem, cosets, the complex numbers and the prime fields), matrix theory and matrix groups, determinants, vector spaces, linear mappings, eigentheory and diagonalization, Jordan decomposition and normal form, normal matrices, and quadratic forms. The final two chapters consist of a more intensive look at group theory, emphasizing orbit stabilizer methods, and an introduction to linear algebraic groups, which enriches the notion of a matrix group.
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