An Introduction to Tensors and Group Theory for Physicists, by Nadir Jeevanjee
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An Introduction to Tensors and Group Theory for Physicists, by Nadir Jeevanjee
Read and Download An Introduction to Tensors and Group Theory for Physicists, by Nadir Jeevanjee
The second edition of this highly praised textbook provides an introduction to tensors, group theory, and their applications in classical and quantum physics. Both intuitive and rigorous, it aims to demystify tensors by giving the slightly more abstract but conceptually much clearer definition found in the math literature, and then connects this formulation to the component formalism of physics calculations. New pedagogical features, such as new illustrations, tables, and boxed sections, as well as additional “invitation” sections that provide accessible introductions to new material, offer increased visual engagement, clarity, and motivation for students.
Part I begins with linear algebraic foundations, follows with the modern component-free definition of tensors, and concludes with applications to physics through the use of tensor products. Part II introduces group theory, including abstract groups and Lie groups and their associated Lie algebras, then intertwines this material with that of Part I by introducing representation theory. Examples and exercises are provided in each chapter for good practice in applying the presented material and techniques.
Prerequisites for this text include the standard lower-division mathematics and physics courses, though extensive references are provided for the motivated student who has not yet had these. Advanced undergraduate and beginning graduate students in physics and applied mathematics will find this textbook to be a clear, concise, and engaging introduction to tensors and groups.
Reviews of the First Edition
“[P]hysicist Nadir Jeevanjee has produced a masterly book that will help other physicists understand those subjects [tensors and groups] as mathematicians understand them… From the first pages, Jeevanjee shows amazing skill in finding fresh, compelling words to bring forward the insight that animates the modern mathematical view…[W]ith compelling force and clarity, he provides many carefully worked-out examples and well-chosen specific problems… Jeevanjee’s clear and forceful writing presents familiar cases with a freshness that will draw in and reassure even a fearful student. [This] is a masterpiece of exposition and explanation that would win credit for even a seasoned author.”
―Physics Today
"Jeevanjee’s [text] is a valuable piece of work on several counts, including its express pedagogical service rendered to fledgling physicists and the fact that it does indeed give pure mathematicians a way to come to terms with what physicists are saying with the same words we use, but with an ostensibly different meaning. The book is very easy to read, very user-friendly, full of examples...and exercises, and will do the job the author wants it to do with style.”
―MAA Reviews
An Introduction to Tensors and Group Theory for Physicists, by Nadir Jeevanjee - Amazon Sales Rank: #535307 in Books
- Published on: 2015-03-12
- Original language: English
- Number of items: 1
- Dimensions: 9.21" h x .75" w x 6.14" l, 1.39 pounds
- Binding: Hardcover
- 305 pages
An Introduction to Tensors and Group Theory for Physicists, by Nadir Jeevanjee Review "Jeevanjee 's An Introduction to Tensors and Group Theory for Physicists is a valuable piece of work on several counts, including its express pedagogical service rendered to fledgling physicists and the fact that it does indeed give pure mathematicians a way to come to terms with what physicists are saying with the same words we use, but with an ostensibly different meaning: it 's the same meat and potatoes, really, but the flavoring is all different.Oh yes, one more thing. The book is very easy to read, very user-friendly, full of examples...and exercises, and will do the job the author wants it to do with style. I am indeed going to use it myself, hopefully to great advantage, in my upcoming dealings with my working-group." MAA ReviewsWith An Introduction to Tensors and Group Theory for Physicists, physicist Nadir Jeevanjee has produced a masterly book that will help other physicists understand those subjects [tensors and groups] as mathematicians understand them From the first pages, Jeevanjee shows amazing skill in finding fresh, compelling words to bring forward the insight that animates the modern mathematical view. In contrast to the usual description of a baffling beast bristling with indices, Jeevanjee describes how, as he puts it, tensors eat vectors and spit out numbers. He combines vivid use of language with coherent expositions of the detailed equations and expressions. Above all, with compelling force and clarity, he provides many carefully worked-out examples and well-chosen specific problems Jeevanjee 's clear and forceful writing presents familiar cases with a freshness that will draw in and reassure even a fearful student. He does not stint the technical details, which are nicely embedded in the text so that they connect smoothly with the larger conceptual exposition An Introduction to Tensors and Group Theory for Physicists, written during Jeevanjee 's graduate studies at the University of California, Berkeley, is a masterpiece of exposition and explanation that would win credit for even a seasoned author. One can only hope that, after this prodigious first book, he will write many more. Physics Today "Jeevanjee 's An Introduction to Tensors and Group Theory for Physicists is a valuable piece of work on several counts, including its express pedagogical service rendered to fledgling physicists and the fact that it does indeed give pure mathematicians a way to come to terms with what physicists are saying with the same words we use, but with an ostensibly different meaning: it 's the same meat and potatoes, really, but the flavoring is all different. Oh yes, one more thing. The book is very easy to read, very user-friendly, full of examples...and exercises, and will do the job theFrom the reviews: With An Introduction to Tensors and Group Theory for Physicists, physicist Nadir Jeevanjee has produced a masterly book that will help other physicists understand those subjects [tensors and groups] as mathematicians understand them From the first pages, Jeevanjee shows amazing skill in finding fresh, compelling words to bring forward the insight that animates the modern mathematical view. In contrast to the usual description of a baffling beast bristling with indices, Jeevanjee describes how, as he puts it, tensors eat vectors and spit out numbers. He combines vivid use of language with coherent expositions of the detailed equations and expressions. Above all, with compelling force and clarity, he provides many carefully worked-out examples and well-chosen specific problems Jeevanjee s clear and forceful writing presents familiar cases with a freshness that will draw in and reassure even a fearful student. He does not stint the technical details, which are nicely embedded in the text so that they connect smoothly with the larger conceptual exposition An Introduction to Tensors and Group Theory for Physicists, written during Jeevanjee s graduate studies at the University of California, Berkeley, is a masterpiece of exposition and explanation that would win credit for even a seasoned author. One can only hope that, after this prodigious first book, he will write many more. Physics Today "Jeevanjee s An Introduction to Tensors and Group Theory for Physicists is a valuable piece of work on several counts, including its express pedagogical service rendered to fledgling physicists and the fact that it does indeed give pure mathematicians a way to come to terms with what physicists are saying with the same words we use, but with an ostensibly different meaning: it s the same meat and potatoes, really, but the flavoring is all different. Oh yes, one more thing. The book is very easy to read, very user-friendly, full of examples...and exercises, and will d
From the reviews:
With "An Introduction to Tensors and Group Theory for Physicists," physicist Nadir Jeevanjee has produced a masterly book that will help other physicists understand those subjects [tensors and groups] as mathematicians understand them From the first pages, Jeevanjee shows amazing skill in finding fresh, compelling words to bring forward the insight that animates the modern mathematical view. In contrast to the usual description of a baffling beast bristling with indices, Jeevanjee describes how, as he puts it, tensors eat vectors and spit out numbers. He combines vivid use of language with coherent expositions of the detailed equations and expressions. Above all, with compelling force and clarity, he provides many carefully worked-out examples and well-chosen specific problems Jeevanjee s clear and forceful writing presents familiar cases with a freshness that will draw in and reassure even a fearful student. He does not stint the technical details, which are nicely embedded in the text so that they connect smoothly with the larger conceptual exposition "An Introduction to Tensors and Group Theory for Physicists," written during Jeevanjee s graduate studies at the University of California, Berkeley, is a masterpiece of exposition and explanation that would win credit for even a seasoned author. One can only hope that, after this prodigious first book, he will write many more.
Physics Today
"Jeevanjee s "An Introduction to Tensors and Group Theory for Physicists" is a valuable piece of work on several counts, including its express pedagogical service rendered to fledgling physicists and the fact that it does indeed give pure mathematicians a way to come to terms with what physicists are saying with the same words we use, but with an ostensibly different meaning: it s the same meat and potatoes, really, but the flavoring is all different.
Oh yes, one more thing. The book is very easy to read, very user-friendly, full of examples...and exercises, and will do the job the author wants it to do with style. I am indeed going to use it myself, hopefully to great advantage, in my upcoming dealings with my working-group."
MAA Reviews
The book is divided into two distinct parts, the first one (Chapters 1-3) dealing with linear algebra and tensors, the second focusing on group theory in physics (Chapter 4-6). provide a solid background for students, helping them to understand the more advanced literature on the subject without formal difficulties. this book not only fills a considerable pedagogical gap in the physical and mathematical literature, but also shows to what extent the material arises naturally within any consistent model of natural phenomena. (Rutwig Campoamor-Stursberg, Mathematical Reviews, Issue 2012 i)
The aim of the monograph is to fill a definite gap in literature by connecting the component formalism intrinsic to physical computations to the abstract but more conceptual formulations of mathematical literature and to present interconnections between tensor analysis and group theory, to demonstrate their physical applications. It is destined for students of advanced-undergraduate level. Every chapter in endowed by exercises and problems. (Boris V. Loginov, Zentralblatt MATH, Vol. 1229, 2012)"
From the Back Cover
The second edition of this highly praised textbook provides an introduction to tensors, group theory, and their applications in classical and quantum physics. Both intuitive and rigorous, it aims to demystify tensors by giving the slightly more abstract but conceptually much clearer definition found in the math literature, and then connects this formulation to the component formalism of physics calculations. New pedagogical features, such as new illustrations, tables, and boxed sections, as well as additional “invitation” sections that provide accessible introductions to new material, offer increased visual engagement, clarity, and motivation for students.
Part I begins with linear algebraic foundations, follows with the modern component-free definition of tensors, and concludes with applications to physics through the use of tensor products. Part II introduces group theory, including abstract groups and Lie groups and their associated Lie algebras, then intertwines this material with that of Part I by introducing representation theory. Examples and exercises are provided in each chapter for good practice in applying the presented material and techniques.
Prerequisites for this text include the standard lower-division mathematics and physics courses, though extensive references are provided for the motivated student who has not yet had these. Advanced undergraduate and beginning graduate students in physics and applied mathematics will find this textbook to be a clear, concise, and engaging introduction to tensors and groups.
Reviews of the First Edition
“[P]hysicist Nadir Jeevanjee has produced a masterly book that will help other physicists understand those subjects [tensors and groups] as mathematicians understand them… From the first pages, Jeevanjee shows amazing skill in finding fresh, compelling words to bring forward the insight that animates the modern mathematical view…[W]ith compelling force and clarity, he provides many carefully worked-out examples and well-chosen specific problems… Jeevanjee’s clear and forceful writing presents familiar cases with a freshness that will draw in and reassure even a fearful student. [This] is a masterpiece of exposition and explanation that would win credit for even a seasoned author.”
―Physics Today
"Jeevanjee’s [text] is a valuable piece of work on several counts, including its express pedagogical service rendered to fledgling physicists and the fact that it does indeed give pure mathematicians a way to come to terms with what physicists are saying with the same words we use, but with an ostensibly different meaning. The book is very easy to read, very user-friendly, full of examples...and exercises, and will do the job the author wants it to do with style.”
―MAA Reviews
About the Author
Nadir Jeevanjee is a graduate student research assistant at the Lawrence Berkeley National Laboratory in Berkeley, CA.
Where to Download An Introduction to Tensors and Group Theory for Physicists, by Nadir Jeevanjee
Most helpful customer reviews
41 of 42 people found the following review helpful. Great Introduction for an Advanced Undergrad or Grad Student By AcedOut I read this book during my first year of graduate school. For a little background, I was a math and physics double major as an undergraduate, but I didn't take any courses on Tensors or Lie Groups, which is why I decided to look into this text.This book introduces Tensors and Group Theory with far more rigor than you normally get within a Physics classroom, grad or undergrad. If you don't have a mathematics background, you should be OK looking at this book. While it certainly helps to have exposure to proof based math, the book starts at the foundations of groups and linear algebra so all the topics build naturally. In short, you will never be lost if you read carefully, so it's also perfect for an advanced undergraduate as well.The underlying mathematical structure of Physics that is covered in this text is usually only superficially learned through rote problem solving during grad school. This is a significant deficiency in graduate Physics pedagogy that this book concisely addresses. It's a shame no one has written something this accessible sooner.The author is very good at breaking the concepts down in his exposition. It is definitely worth rereading from time to time, as there is usually a new insight to be gained from the text. The exercises and examples in the book are also well chosen. They are usually pretty short, but very illustrative. It's pretty much always clear how the concepts tie to Physics when you work through them.In short, I found this book to be extremely helpful. It provides a good framework to understand much of the advanced mathematics that one encounters in graduate school.
7 of 7 people found the following review helpful. Pedagogical and Modern By E. M. Stoudenmire This book gives a self-contained introduction to tensors and group theory in a very pedagogical style. It moves quickly and stays interesting without losing the reader. My favorite thing about it is the quasi-rigorous approach: rather than proving every statement, Jevanjee provides references to other authors for the proofs and instead focuses primarily on definitions, concepts, and examples. He also takes a thoroughly modern perspective (e.g. tensors are linear functions), though not without making helpful connections to the older terminology used frequently in physics books.
3 of 3 people found the following review helpful. Very clear language and mathematics By Amazon Customer Jeevanjee's textbook is excellent. I am a Materials Scientist with a Physics background, and yet tensors have always been a little mysterious to me. This text lays the mathematical framework you need in order to understand tensors (and group theory), while providing concrete examples in physical contexts; everything is exceptionally clear and easy to understand. I highly recommend this book to any Physicist who feels the way I used to feel about tensors (i.e. you can work the math, but don't have a clear understanding of why it's working). Great text.
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An Introduction to Tensors and Group Theory for Physicists, by Nadir Jeevanjee
