A Book of Abstract Algebra 2 Sub Edition

A Book of Abstract Algebra 2 Sub Edition
Author: Visit ‘s Charles C. Pinter Page ID: 0070501386

Series: International Series in Pure and Applied MathematicsHardcover: 384 pagesPublisher: Mcgraw-Hill College; 2 Sub edition (October 1, 1989)Language: EnglishISBN-10: 0070501386ISBN-13: 978-0070501386 Product Dimensions: 1 x 6.5 x 9.5 inches Shipping Weight: 1.4 pounds Best Sellers Rank: #995,695 in Books (See Top 100 in Books) #208 in Books > Science & Math > Mathematics > Pure Mathematics > Algebra > Abstract #1933 in Books > Textbooks > Science & Mathematics > Mathematics > Algebra & Trigonometry

Each class I’ve taken as a grad student, I’ve gone a little overboard buying all sorts of books on the subject matter. I like that each author has a unique style and approach.

In abstract algebra, there are the standards (Dummit, Hungerford, etc). These are the more down-and-dirty texts. They’re good. They’re thorough. They’re rigorous. They do the job quite well if you already have some familiarity with the subject.

Then there are the older, cheaper books, like Deskins. It’s alright. Some people nay-say it, but whatever: it’s cheap and is one more voice to add to the choir.

Pinter, though, reads like a novel—and not in a cheesy way. As I waited for a friend in Barnes and Noble, I half-heartedly picked it up to skim through it… The introduction hooked me–it sums up what lies ahead like a movie trailer, leaving one mad to find out the whole story. Some might shrug this book off as a lowly "undergraduate" book, but if this is the case, you’re missing out on the one author who has been able to deftly convey just how inspiring this subject really is. No other book has convinced me of the power of abstract algebra like this book.

Will it be the only book you read on the subject? If it is, then it was a good choice.

Having experience with the more standard tomes out there, there is the chance that I think this reads like a novel and is "so good" because I am familiar with the material. But, seriously, this is the kind of book that you’re lucky to stumble across, whoever you are: a math nerd, physics geek, bio dweeb, or chem freak. This book will, at the least, open your eyes to well-kept secrets of higher mathematics.

This is an excellent book on abstract algebra that makes the transition into this difficult area
as painless as possible. As a engineer who was forced to learn group theory, I read through at least 50 books
on this subject (another good choice is
Groups and Their Graphs by Grossman)
and Pinter’s treatment was the most user friendly treatment I came across.

I have no doubt that most physicists and applied scientists would
also love the style of this book. However, ivory tower mathematics types might put their nose up at the
way Pinter develops the material.
Specifically, this book goes to great lengths to show the scaffolding behind the ideas and proofs. Concrete
examples and toy problems are given without apology.
As a result, the
mathematics is brought alive and not depicted as cold and detached theorem proving. This book actually
is a perfect response to the snobby elitism exuded by many
advanced math texts. Overall, this book is a model of good mathematics texbook writing. My highest recommendation.

I fully agree with the comments of the previous reviewers. This introductory book on abstract algebra is simply superb.
The author uses a discursive language, pretty unusual for a book of this type but extremely effective. While going through this book, you have the impression not of reading a textbook but of "listening" to the author talking to you.
I am not a professional mathematician, and therefore I don’t feel entitled to judge about its mathematical rigor but I have read and studied similar textbooks on the subject (like Fraleigh and Gallian) and the clarity of this book surpasses them all.
The author provides lots of exercises and some worked out solutions.
Definitively this is my strongest recommendation for a book on this subject.
Download A Book of Abstract Algebra 2 Sub Edition PDF

PanglimaKamandaka842

A Book of Abstract Algebra 2 Sub Edition

A Book of Abstract Algebra 2 Sub Edition
Author: Visit ‘s Charles C. Pinter Page ID: 0070501386

Series: International Series in Pure and Applied MathematicsHardcover: 384 pagesPublisher: Mcgraw-Hill College; 2 Sub edition (October 1, 1989)Language: EnglishISBN-10: 0070501386ISBN-13: 978-0070501386 Product Dimensions: 1 x 6.5 x 9.5 inches Shipping Weight: 1.4 pounds Best Sellers Rank: #995,695 in Books (See Top 100 in Books) #208 in Books > Science & Math > Mathematics > Pure Mathematics > Algebra > Abstract #1933 in Books > Textbooks > Science & Mathematics > Mathematics > Algebra & Trigonometry

Each class I’ve taken as a grad student, I’ve gone a little overboard buying all sorts of books on the subject matter. I like that each author has a unique style and approach.

In abstract algebra, there are the standards (Dummit, Hungerford, etc). These are the more down-and-dirty texts. They’re good. They’re thorough. They’re rigorous. They do the job quite well if you already have some familiarity with the subject.

Then there are the older, cheaper books, like Deskins. It’s alright. Some people nay-say it, but whatever: it’s cheap and is one more voice to add to the choir.

Pinter, though, reads like a novel—and not in a cheesy way. As I waited for a friend in Barnes and Noble, I half-heartedly picked it up to skim through it… The introduction hooked me–it sums up what lies ahead like a movie trailer, leaving one mad to find out the whole story. Some might shrug this book off as a lowly "undergraduate" book, but if this is the case, you’re missing out on the one author who has been able to deftly convey just how inspiring this subject really is. No other book has convinced me of the power of abstract algebra like this book.

Will it be the only book you read on the subject? If it is, then it was a good choice.

Having experience with the more standard tomes out there, there is the chance that I think this reads like a novel and is "so good" because I am familiar with the material. But, seriously, this is the kind of book that you’re lucky to stumble across, whoever you are: a math nerd, physics geek, bio dweeb, or chem freak. This book will, at the least, open your eyes to well-kept secrets of higher mathematics.

This is an excellent book on abstract algebra that makes the transition into this difficult area
as painless as possible. As a engineer who was forced to learn group theory, I read through at least 50 books
on this subject (another good choice is
Groups and Their Graphs by Grossman)
and Pinter’s treatment was the most user friendly treatment I came across.

I have no doubt that most physicists and applied scientists would
also love the style of this book. However, ivory tower mathematics types might put their nose up at the
way Pinter develops the material.
Specifically, this book goes to great lengths to show the scaffolding behind the ideas and proofs. Concrete
examples and toy problems are given without apology.
As a result, the
mathematics is brought alive and not depicted as cold and detached theorem proving. This book actually
is a perfect response to the snobby elitism exuded by many
advanced math texts. Overall, this book is a model of good mathematics texbook writing. My highest recommendation.

I fully agree with the comments of the previous reviewers. This introductory book on abstract algebra is simply superb.
The author uses a discursive language, pretty unusual for a book of this type but extremely effective. While going through this book, you have the impression not of reading a textbook but of "listening" to the author talking to you.
I am not a professional mathematician, and therefore I don’t feel entitled to judge about its mathematical rigor but I have read and studied similar textbooks on the subject (like Fraleigh and Gallian) and the clarity of this book surpasses them all.
The author provides lots of exercises and some worked out solutions.
Definitively this is my strongest recommendation for a book on this subject.
Download A Book of Abstract Algebra 2 Sub Edition PDF

PanglimaKamandaka842

Quantum Field Theory for the Gifted Amateur 1st Edition

Quantum Field Theory for the Gifted Amateur 1st Edition
Author: Visit ‘s Tom Lancaster Page ID: 0199699321

Review

“There is a need for a book on Quantum Field Theory that is not directed at specialists but, rather, sets out the concepts underlying this subject for a broader scientific audience and conveys joy in their beauty. Lancaster and Blundell have written with this goal in mind, and they have succeeded admirably.” –Michael Peskin, SLAC National Accelerator Laboratory, Stanford University

“This wonderful and exciting book is optimal for physics graduate students. … The physical explanations are exceedingly well written and integrated with mathematics. Quantum field theory is the next big thing and this book will help the reader to understand and use the theory.” –Optics & Photonics News

About the Author

Tom Lancaster, Lecturer in Physics, Department of Physics, University of Durham,Stephen J. Blundell, Professor of Physics, Department of Physics, University of Oxford

Tom Lancaster was a research Fellow in Physics at the University of Oxford, before becoming a Lecturer at the University of Durham in 2012.

Stephen J. Blundell is a Professor of Physics at the University of Oxford and a Fellow of Mansfield College, Oxford.

Hardcover: 512 pagesPublisher: Oxford University Press; 1 edition (June 17, 2014)Language: EnglishISBN-10: 0199699321ISBN-13: 978-0199699322 Product Dimensions: 9.8 x 1.2 x 7.7 inches Shipping Weight: 2.5 pounds (View shipping rates and policies) Best Sellers Rank: #615,428 in Books (See Top 100 in Books) #586 in Books > science & Math > Physics > Quantum Theory #15831 in Books > Textbooks > Science & Mathematics #141817 in Books > reference
The authors of this book should be congratulated for bringing to the masses the difficult field of quantum field theory (QFT). QFT is a notoriously difficult subject to learn from well established books and hence a modern exposition that introduces the concepts in a step-by-step fashion is certainly welcome. As written in the preface, the readers that the authors have in mind are either scientists that do not intend to become QFT professionals or students of theoretical physics which should consult more than one source in their long pilgrimage toward enlightenment (and tenure). In short, QFT has to do with the nature of things that surround us. Things (I should not call them things but fields) like electrons or photons are characterized by the so called particle-wave duality, they behave like particles in some situations and like waves in others. QFT, however, overcomes such duality of conventional (one-particle) quantum mechanics by mathematically describing them as "excitations of the quantum field". By reading the book one is gradually taken to a trip through Lagrangians, harmonic oscillators, the formalism of the second quantization, path integrals, Wick and Noether theorems, Feynman diagrams, broken symmetry, and quasi-particles such as bogolons (Bogoliubov quasi-particles), Majorana and Dirac fermions. All these fancy names given to different theoretical concepts are often represented by nice sketches printed near the text with an entertaining approach as that in Mattuck’s book "A Guide to Feynman Diagrams in the Many-Body Problem" (Dover, 1992).
One thing that I would suggest the authors to include in a future edition is a final chapter about the position of QFT with respect to other theories (eg.
I divide "popular science" books into four categories:

1. The kind you can read on a plane, by itself, and enjoy the ride.
2. The kind you need to read with Wikipedia or a math encyclopedia (or "maths" as these British authors would say) handy.
3. The kind you need to read with at least two other major books, and possibly more. (The authors agree with me here, saying most good books require at least one other to augment them).
4. The kind you can’t read at all– it has to be STUDIED, with painstaking work.

I’d classify this gem as between 3 and 4. You really do have to know Fourier transforms, and a high level of undergrad relativity, or you’ll miss a lot. That said, how can this be for an "amateur" at all? Well, the authors use an ingenious trick: they put the easier and more popular intuitive concepts in bigger type, and numerous smaller worked, mathematical examples in smaller type. So, you can, in a sense, read/study at your own level.

I also find that ethical authors and publishers, especially with a book of this high cost, are generous with the look inside feature, because they care more about you not being disappointed than making an inappropriate sale. Hats off, the look inside is excellent, please do peruse it carefully before deciding.

Since any one aspect (eg. gauge theory) can occupy a dozen texts on its own, how do the authors cover the entire field? Again, VERY WELL DONE– they give a concept, a little diagram in the margin, an easy example, a hard example, an exercise, and very detailed further reading, with references that are up to date. This makes this wonderful text an awesome "reference guide" to further study, especially for those going on in physics.
Download Quantum Field Theory for the Gifted Amateur 1st Edition PDF

PanglimaKamandaka842

Quantum Field Theory for the Gifted Amateur 1st Edition

Quantum Field Theory for the Gifted Amateur 1st Edition
Author: Visit ‘s Tom Lancaster Page ID: 0199699321

Review

“There is a need for a book on Quantum Field Theory that is not directed at specialists but, rather, sets out the concepts underlying this subject for a broader scientific audience and conveys joy in their beauty. Lancaster and Blundell have written with this goal in mind, and they have succeeded admirably.” –Michael Peskin, SLAC National Accelerator Laboratory, Stanford University

“This wonderful and exciting book is optimal for physics graduate students. … The physical explanations are exceedingly well written and integrated with mathematics. Quantum field theory is the next big thing and this book will help the reader to understand and use the theory.” –Optics & Photonics News

About the Author

Tom Lancaster, Lecturer in Physics, Department of Physics, University of Durham,Stephen J. Blundell, Professor of Physics, Department of Physics, University of Oxford

Tom Lancaster was a research Fellow in Physics at the University of Oxford, before becoming a Lecturer at the University of Durham in 2012.

Stephen J. Blundell is a Professor of Physics at the University of Oxford and a Fellow of Mansfield College, Oxford.

Hardcover: 512 pagesPublisher: Oxford University Press; 1 edition (June 17, 2014)Language: EnglishISBN-10: 0199699321ISBN-13: 978-0199699322 Product Dimensions: 9.8 x 1.2 x 7.7 inches Shipping Weight: 2.5 pounds (View shipping rates and policies) Best Sellers Rank: #615,428 in Books (See Top 100 in Books) #586 in Books > science & Math > Physics > Quantum Theory #15831 in Books > Textbooks > Science & Mathematics #141817 in Books > reference
The authors of this book should be congratulated for bringing to the masses the difficult field of quantum field theory (QFT). QFT is a notoriously difficult subject to learn from well established books and hence a modern exposition that introduces the concepts in a step-by-step fashion is certainly welcome. As written in the preface, the readers that the authors have in mind are either scientists that do not intend to become QFT professionals or students of theoretical physics which should consult more than one source in their long pilgrimage toward enlightenment (and tenure). In short, QFT has to do with the nature of things that surround us. Things (I should not call them things but fields) like electrons or photons are characterized by the so called particle-wave duality, they behave like particles in some situations and like waves in others. QFT, however, overcomes such duality of conventional (one-particle) quantum mechanics by mathematically describing them as "excitations of the quantum field". By reading the book one is gradually taken to a trip through Lagrangians, harmonic oscillators, the formalism of the second quantization, path integrals, Wick and Noether theorems, Feynman diagrams, broken symmetry, and quasi-particles such as bogolons (Bogoliubov quasi-particles), Majorana and Dirac fermions. All these fancy names given to different theoretical concepts are often represented by nice sketches printed near the text with an entertaining approach as that in Mattuck’s book "A Guide to Feynman Diagrams in the Many-Body Problem" (Dover, 1992).
One thing that I would suggest the authors to include in a future edition is a final chapter about the position of QFT with respect to other theories (eg.
I divide "popular science" books into four categories:

1. The kind you can read on a plane, by itself, and enjoy the ride.
2. The kind you need to read with Wikipedia or a math encyclopedia (or "maths" as these British authors would say) handy.
3. The kind you need to read with at least two other major books, and possibly more. (The authors agree with me here, saying most good books require at least one other to augment them).
4. The kind you can’t read at all– it has to be STUDIED, with painstaking work.

I’d classify this gem as between 3 and 4. You really do have to know Fourier transforms, and a high level of undergrad relativity, or you’ll miss a lot. That said, how can this be for an "amateur" at all? Well, the authors use an ingenious trick: they put the easier and more popular intuitive concepts in bigger type, and numerous smaller worked, mathematical examples in smaller type. So, you can, in a sense, read/study at your own level.

I also find that ethical authors and publishers, especially with a book of this high cost, are generous with the look inside feature, because they care more about you not being disappointed than making an inappropriate sale. Hats off, the look inside is excellent, please do peruse it carefully before deciding.

Since any one aspect (eg. gauge theory) can occupy a dozen texts on its own, how do the authors cover the entire field? Again, VERY WELL DONE– they give a concept, a little diagram in the margin, an easy example, a hard example, an exercise, and very detailed further reading, with references that are up to date. This makes this wonderful text an awesome "reference guide" to further study, especially for those going on in physics.
Download Quantum Field Theory for the Gifted Amateur 1st Edition PDF

PanglimaKamandaka842