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Download Undergraduate Algebra (Undergraduate Texts in Mathematics) fb2, epub

by Serge Lang

Download Undergraduate Algebra (Undergraduate Texts in Mathematics) fb2, epub

ISBN: 0387220259
Author: Serge Lang
Language: English
Publisher: Springer; 3rd edition (March 21, 2005)
Pages: 389
Category: Mathematics
Subcategory: Science
Rating: 4.7
Votes: 385
Size Fb2: 1121 kb
Size ePub: 1553 kb
Size Djvu: 1102 kb
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Undergraduate Algebra is a text for the standard undergraduate algebra course. It concentrates on the basic structures and results of algebra, discussing groups, rings, modules, fields, polynomials, finite fields, Galois Theory, and other topics

Undergraduate Algebra is a text for the standard undergraduate algebra course. It concentrates on the basic structures and results of algebra, discussing groups, rings, modules, fields, polynomials, finite fields, Galois Theory, and other topics. The author has also included a chapter on groups of matrices which is unique in a book at this level.

Undergraduate Texts in Mathematics (UTM) is a series of undergraduate-level textbooks in mathematics published by Springer-Verlag. The books in this series tend to be written at a more elementary level than the similar Graduate Texts in Mathematics series, although there is a fair amount of overlap between the two series in terms of material covered and difficulty level.

Only 17 left in stock (more on the way). Attempting to learn Analysis on your own is especially difficult if you do not get feedback on attempts at proofs.

Undergraduate Texts in Mathematics are generally aimed at third- and fourth-year undergraduate mathematics students at North American universities. These texts strive to provide students and teachers with new perspectives and novel approaches. The books include motivation that guides the reader to an appreciation of interrelations among different aspects of the subject. They feature examples that illustrate key concepts as well as exercises that strengthen understanding. A college is an educational institution or a constituent part of one. A college may be a degree-awarding tertiary educational institution, a part of a collegiate or federal university, an institution offering vocational education, or a secondary school. Mathematics includes the study of such topics as quantity, structure (algebra), space (geometry), and change. It has no generally accepted definition. The books include motivation that guides the reader to an appreciation of interrela-tions among different aspects of the subject.

To this end, an undergraduate mathematics curriculum usually corresponds to the faculty interests not only within .

To this end, an undergraduate mathematics curriculum usually corresponds to the faculty interests not only within mathematics but other departments such as natural sciences, computer science, and statistics, the latter two having roots in mathematics and engineering. To this end, I refer to Mathematical Association of America MAA Working draft of CUPM Curriculum Guide 2015 where you will find specific course area reports for each of your topics and more

Good day, Did anyone here use Serge Lang's "Algebra" as an undergraduate text? . But I recommend strongly that you obtain a different book for support

Good day, Did anyone here use Serge Lang's "Algebra" as an undergraduate text? . But I recommend strongly that you obtain a different book for support. There are some really good things in Lang, but if this is your first encounter with abstract algebra, it is definitely not adequate.

Encounters with High School Students 1985, ISBN 961 29- 1 The Beauty of Doing Mathematics 1 985, ISBN 96149-6 Geometry.

Ribet Springer Books on Elementary Mathematics by Serge Lang MATH! Encounters with High School Students 1985, ISBN 961 29- 1 The Beauty of Doing Mathematics 1 985, ISBN 96149-6 Geometry

Undergraduate Texts in Mathematics I shall assume that you know some set theory, some Boolean algebras and .

Undergraduate Texts in Mathematics. Article · January 2015 with 10 Reads. How we measure 'reads'. I shall assume that you know some set theory, some Boolean algebras and some functional analysis. You should definitely know some basic measure theory. Without assuming prior legal knowledge, books in the Directions series introduce and guide readers at undergraduate level through key points of law and legal debate. Questions, diagrams, and exercises help readers to engage fully with each subject and check their understanding as they progress.

The companion title, Linear Algebra, has sold over 8,000 copies

Thewriting style is very accessible

The material can be covered easily in a one-year or one-term course

Includes Noah Snyder's proof of the Mason-Stothers polynomial abc theorem

New material included on product structure for matrices including descriptions of the conjugation representation of the diagonal group

Comments:

Tam
This book has some issues.
Cons:
1) It has very few examples. This is typical for Abstract Algebra, but this has a lot less then most.
2) This book has none of the typical "chatter" and inline discussion that most text books have. This makes it very hard to understand new concepts when reading because it simply does not explain what is happening well. This would have made it a good reference, except for the point I make in 3).
3) About half of the theorems are not labeled or named. They are simply stated in inline text with no way to indication that it was a theorem.
4) The book does not stay open. It will always close unless you are physically holding it open with something that is quite string.
5) The book broke about half way through the semester. The binding is really bad. The cover is only attached to the pages along the side edges, so eventually it will pull off.

Pros:
1) It has a lot of good questions to work (no solutions, though, which is both good and bad so I count it as neither)
2) It is very "to the point" no wasted space or words.
Ximinon
It is used heavily
Briciraz
Like all Lang books on algebra, everything is very clear. The book goes through group, ring, modules, field, vector spaces, Galois theory andsome set theory including the Axiom of Choice. It does take some work and time to get everything, especially if you are getting acquainted with the topics for the first time. However, a motivated reader can certainly work through the book by himself. The only complaint I have is that the book often does not explain the motivation much.
Mr.mclav
The book provides an introduction to abstract algebra for undergraduate students. It covers basic topics in the theory of groups, rings, fields, polynomials, vectors and modules.
The book is terse and succinct. It provides very few examples to illustrate the various definitions and theorems. The examples are sorely missing since it is probably the first encounter with abstract mathematical formalism for most students using this book.
The author does not provide motivations for most of the topics he presents. Many of the aforementioned topics are of use in physics, linear algebra and applied math, yet the author fails to mention the relevance of abstract algebra to these fields. Considering the fact that not all students using this book are pure math majors, this may leave many students asking "What is it good for?" too often.
The book contains many excellent exercises varying from the trivial to the highly challenging. However, no solutions are provided and no solutions manual is available. This makes the book highly unsuitable for self-study.
The major strength of the book is its rigor. The author covers many topics not covered by other textbooks and progresses very meticulously towards more complicated topics. He thus builds a strong foundation for future classes in abstract mathematics. For pure math students, the book is a valuable snapshot of how advanced pure math textbooks look like.
For other students looking for an introductory textbook on abstract algebra, "Abstract Algebra: An Introduction" by Thomas W. Hungerford is recommended. It provides a clearer presentation of the material and is better suitable for the beginning student.
Khiceog
I didn't enjoy this book at all. The author, as he states in the preface, has tried to strike a balance between rigour and brevity, while trying to set a standard for the American undergraduate algebra curriculum. The intentions are admirable; however, he doesn't quite pull it off. Most of the important topics are presented either in the text or in the problems. For that matter, they're well chosen, too. But quite often the presentation is either too brief, unclear, or devoid of motivation. Some definitions are ambiguous or imprecise, while the notation is sometimes clumsy. The only redeeming feature is the choice of problems. They vary in difficulty from section to section, but on an average are excellent(a factor that adds to their difficulty is that the material in the text is so skimpy). On the whole, I don't know what purpose this book serves. The average student is better off using Fraleigh or Gallian (or any of the host of easier books avalailable), while Herstein still has much to offer to the motivated one. Jacobson and Cohn(which I used a lot while taking my first Algebra course) are always available as outstanding references.
Fek
Like any of Lang's texts, it is concise, rigorous, and develops a thought so masterfully that one can even anticipate the reasoning and intuition a few pages in advance. Lang is also the master of nuance. Beware, a love for algebra awaits.
Insanity
The title is quite misleading. It sounds innocuous but conceals some pretty neat stuff. This book is an introduction into modern algebra that starts with group theory and continues into Galois theory. It is terse at times but contains all the essentials.
This text should be required reading for all Computer Science majors who have an interest in cryptography or cryptanalysis.

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