an introduction to abstract mathematics
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The easy stuff? The authors extensive background in teaching mathematics shines through in this balanced, explicit, and engaging text, designed as a primer for higher- level mathematics courses. Being able to understand the correspondence between linear maps and matrices as an isomorphism of k-algebras is a wonderful thing. Valenza's treatment of the subject serves as an exemplar of theory and abstraction and gives students much needed early insight into what math is actually about. Maybe it's ok for those with a strong math background, but for those of us that aren't majoring in pure mathematics, this book is far too dense and vague to fully comprehend. I am keeping this book as a reference for future math classes. The book assumes that the reader knows many theorems that aren't even presented anywhere between the covers. There's a problem loading this menu right now. Springer; Corrected edition (August 26, 1993), Reviewed in the United States on December 13, 2011. In order to navigate out of this carousel please use your heading shortcut key to navigate to the next or previous heading. Most of the theorems that are presented are "left as an exercise" for the reader. As a person who has a healthy interest in mathematics and has taken many classes, this is definatley one of the best! This shopping feature will continue to load items when the Enter key is pressed. They elegantly demonstrate process and application and recognize the byproducts of both the achievements and the missteps of past thinkers. Very good at explaining proofs and rules. Basic Analysis I: Introduction to Real Analysis, Volume I. Great book, great price and fast delivery. Reviewed in the United States on September 23, 2012. Please try your request again later. In fact, I struggled that entire semester, and eventually emerged with a pretty shaky understanding of linear algebra. In addition, they will develop an appreciation of the different methods of proof (contradiction, induction), the value of a proof, and the beauty of an elegant argument. Your recently viewed items and featured recommendations, Select the department you want to search in. Something went wrong. We work hard to protect your security and privacy. To be fair, the book attempts to explore a broad range of basic mathematics, yet the ease of the first four chapters almost castrates one from the theory to a redundant and over-simplistic examples. Research mathemati- cians, both pure and applied, view mathematics the same way. Uniquely among algebra texts at this level, it introduces group theory early in the discussion, as an example of the rigorous development of informal axiomatic systems. No-Nonsense Algebra: Part of the Mastering Essential Math Skills Series. Enter your mobile number or email address below and we'll send you a link to download the free Kindle App. His past publications include: Personal Finance, California Real Estate Principles, Real Estate Practice, Real Estate Finance and many more. Introduction to undergraduate real analysis. It takes a very different tack from most linear algebra texts: Usually, a linear algebra text begins by inroducing matrices and solving simultaneous equations, teaching computational methods. Bring your club to Amazon Book Clubs, start a new book club and invite your friends to join, or find a club that’s right for you for free. Problems are overly complicated but help to understand concepts of they are completed. Linear Algebra: An Introduction to Abstract Mathematics Undergraduate Texts in Mathematics: Amazon.de: Robert J. Valenza: Fremdsprachige Bücher Reviewed in the United States on July 14, 2013. Emphasis on basic concepts as sets, the probability measure associated with sets, sample space, random variables, information measure, and capacity. Please try again. I had hated math before, so it felt like a whole new world had been opened up to me. I'm keeping the book as a resource for more advanced math classes, but most likely I'll just go find another book for that. This is a great book. Leads the reader from simple graphs through planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph. Please try again. You may be charged a restocking fee up to 50% of item's price for used or damaged returns and up to 100% for materially different item. This structure is absolutely essential to knowing what's going on: My father took a (less superior) linear algebra class many years ago, and he never understood the concepts behind the mathematical manipulations; I actually sat down with him and taught him the things that I learned in Prof. Valenza's class. Previous page of related Sponsored Products. Reviewed in the United States on March 14, 2013. This book adopts a simple and practical approach to describe the basic concepts of Factorization. Reviewed in the United States on December 8, 2000. This shopping feature will continue to load items when the Enter key is pressed. Your recently viewed items and featured recommendations, Select the department you want to search in. Leads the reader from simple graphs through planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph. This was the textbook for an honors course in linear algebra I took my second semester in college, and my introduction to real, abstract mathematics-- also one of the reasons I switched from chemistry to math. Our payment security system encrypts your information during transmission. Reviewed in the United States on September 7, 2018. Reviewed in the United States on April 25, 2013. 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