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Cambridge Core - Algebra - Basic Abstract Algebra - by P. B. Bhattacharya. Skip to main content Accessibility help Full text views reflects the number of PDF downloads, PDFs sent to Google Drive, Dropbox and Kindle and HTML full text views for chapters in this book. Total number of HTML views: 0. 1.1 What is Algebra? If you ask someone on the street this question, the most likely response will be: “Something horrible to do with x, y and z”. If you’re lucky enough to bump into a mathematician then you might get something along the lines of: “Algebra is the abstract encapsulation of our intuition for composition”. Abstract algebra is a relatively modern topic in mathematics. In fact, when I took this course it was called Modern Algebra. I used the fourth ed. of Contemporary Abstract Algebra by Joseph Gallian. It happened that my double major in Physics kept me away from the lecture time for the course. I learned this subject rst from reading Gallian’s Joong Fang Schaum's Theory & Problems of Abstract Algebra Schaum Publishing Co 1963 Acrobat 7 Pdf 16.6 Mb. Scanned by artmisa using Canon It is important to realize that the study of these applications is not the only reason for learning modern algebra. These examples illustrate the varied uses to which algebra has been put in the past, and it is extremely likely that many more different applications will be found in the future. If you have the time and opportunity to study abstract algebra, it is likely that you are not hungry, cold and sick. This book is being offered free of charge for your use. In exchange, if you make serious use of this book, please make a contribution to relieving the misery of the world. Honors Abstract Algebra Course Notes Math 55a, Harvard University Contents This course will provide a rigorous introduction to abstract algebra, including group theory and linear algebra. Topics include: 1. Set theory. Formalization of Z,Q,R,C. 2. Linear algebra. Vector spaces and transformations over Rand C.
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