---
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title: "Mathematics for Physicists: Introductory Concepts and Methods"
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# Mathematics for Physicists: Introductory Concepts and Methods

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Review: Various Physics Terminology - Explanations - Alternative Views - I bought this textbook in order to brush up analytically on my single variable calculus, multiple variable calculus, and linear algebra. What I got from reading this textbook was an alternative viewpoint unlike that of a mathematician regarding these 3 mathematical subjects. I was able to gain further insight and a physical point of view regarding these subjects, this alone has helped me out tremendously furthermore my background in mathematics consists of your regular single/multi variable calculus, ordinary differential equations and linear algebra, partial differential equations & complex analysis, and signals analysis and some real analysis. I would highly recommend this text to other physicists, really, any scientist in general that needs a concise brush up or introduction, the reason why is that one is able to relearn their calculus and linear algebra and touch upon some topics within the text that may have never been covered in their university courses, I never recalled learning multilinear algebra, differential geometry, hermiticity & symmetry and various other peculiar/special functions during undergrad calculus and engineering mathematics (with engineering math being just a concise introduction and combination of ordinary differential equations and linear algebra for time purposes). The 3-D diagrams within the textbook are extremely helpful in representing what is going on, also, the various problems within this textbook are helpful as well because they really do make you think (this isn't an exaggeration, some really make you think) and represent the core of the material being taught, no dilly dallying in learning what are the core concepts that one needs to be able work with the mathematics, it also helps out a lot that the text contains solutions to half of the problems. Now for the bad news. One major thing that irks me a lot is that there is no table/list of symbols/greek alphabet which displays in english the mathematical notations/symbols used (pic related), this also isn't helped by the fact that some of the symbology isn't named? Maybe this is the only exception but the reason why I said the previous sentence is that in section C6.1 the dirac delta function is introduced but isn't even called the dirac delta function, it's just referred to as "function" no joke. I don't recall this occuring regularly, or maybe it's because it's such a famous function that it just caught me completely off guard, I had to google the function name to see if i wasn't going crazy in not recognizing the dirac delta function. The very first section of the linear algebra section L1.1 Sets and maps & L1.2 Groups, is no joke. I would find it very hard to believe that a student who has never taken an introductory course on proofs and group theory would fully understand this section, seeing as how I've taken a proofs course followed by a group theory course with Book of Proof by Hammack and Discovering Group Theory: A Transition to Advanced Mathematics by Barnard (two of the absolute best introductory mathematical analysis texts I've ever used). I really don't see how one who is new to those two subjects would fully digest those two extremely condensed and concise sub sections, and the problems that go along with said sub sections are no joke (bad). Of course if you already have some mathematical maturity then going through that part of the text would be a complete breeze, a cakewalk even, but i'm talking about this from the theoretical perspective of a brand new undergrad who bought this textbook to learn from scratch calculus, linear algebra, and some various mathematical methods, who has never seen this stuff before, of course they will have problems with such a short introduction to those two sub section, personally I think that the authors should just reform those two subsections into full chapters or just into bigger subsections in general and explain with more detail about sets and groups (maybe like 15-20 pages each), I mean, come on, the entire book is built using said information from those two subsections in order to understand what is going on in the rest of the text, I can see how that can be a problem for the uninitiated. If you're reading this and decide to buy the book, go for it, it's a really great text to do problems in and relearn or for the first time ever, learn CALC and LINALG and other side stuff that's very useful, also one can easily use this as a reference. But yeah, just expand those two subsections and make a table of symbols used throughout the text.
Review: Quite clear exposition. - I'm neither a mathematician nor a physicist, so I needed something clear/simple. This book has helped a lot. Especially like the part on perturbtion theory.

## Technical Specifications

| Specification | Value |
|---------------|-------|
| Best Sellers Rank | #1,212,146 in Books ( See Top 100 in Books ) #441 in Mathematical Physics (Books) #845 in Physics (Books) |
| Customer Reviews | 4.5 4.5 out of 5 stars (113) |
| Dimensions  | 8 x 1.5 x 10 inches |
| Edition  | 1st |
| ISBN-10  | 1108471226 |
| ISBN-13  | 978-1108471220 |
| Item Weight  | 7.4 ounces |
| Language  | English |
| Print length  | 720 pages |
| Publication date  | February 14, 2019 |
| Publisher  | Cambridge University Press |

## Images

![Mathematics for Physicists: Introductory Concepts and Methods - Image 1](https://m.media-amazon.com/images/I/81jYq-NYQ9L.jpg)

## Customer Reviews

### ⭐⭐⭐⭐⭐ Various Physics Terminology - Explanations - Alternative Views
*by A***R on May 22, 2019*

I bought this textbook in order to brush up analytically on my single variable calculus, multiple variable calculus, and linear algebra. What I got from reading this textbook was an alternative viewpoint unlike that of a mathematician regarding these 3 mathematical subjects. I was able to gain further insight and a physical point of view regarding these subjects, this alone has helped me out tremendously furthermore my background in mathematics consists of your regular single/multi variable calculus, ordinary differential equations and linear algebra, partial differential equations & complex analysis, and signals analysis and some real analysis. I would highly recommend this text to other physicists, really, any scientist in general that needs a concise brush up or introduction, the reason why is that one is able to relearn their calculus and linear algebra and touch upon some topics within the text that may have never been covered in their university courses, I never recalled learning multilinear algebra, differential geometry, hermiticity & symmetry and various other peculiar/special functions during undergrad calculus and engineering mathematics (with engineering math being just a concise introduction and combination of ordinary differential equations and linear algebra for time purposes). The 3-D diagrams within the textbook are extremely helpful in representing what is going on, also, the various problems within this textbook are helpful as well because they really do make you think (this isn't an exaggeration, some really make you think) and represent the core of the material being taught, no dilly dallying in learning what are the core concepts that one needs to be able work with the mathematics, it also helps out a lot that the text contains solutions to half of the problems. Now for the bad news. One major thing that irks me a lot is that there is no table/list of symbols/greek alphabet which displays in english the mathematical notations/symbols used (pic related), this also isn't helped by the fact that some of the symbology isn't named? Maybe this is the only exception but the reason why I said the previous sentence is that in section C6.1 the dirac delta function is introduced but isn't even called the dirac delta function, it's just referred to as "function" no joke. I don't recall this occuring regularly, or maybe it's because it's such a famous function that it just caught me completely off guard, I had to google the function name to see if i wasn't going crazy in not recognizing the dirac delta function. The very first section of the linear algebra section L1.1 Sets and maps & L1.2 Groups, is no joke. I would find it very hard to believe that a student who has never taken an introductory course on proofs and group theory would fully understand this section, seeing as how I've taken a proofs course followed by a group theory course with Book of Proof by Hammack and Discovering Group Theory: A Transition to Advanced Mathematics by Barnard (two of the absolute best introductory mathematical analysis texts I've ever used). I really don't see how one who is new to those two subjects would fully digest those two extremely condensed and concise sub sections, and the problems that go along with said sub sections are no joke (bad). Of course if you already have some mathematical maturity then going through that part of the text would be a complete breeze, a cakewalk even, but i'm talking about this from the theoretical perspective of a brand new undergrad who bought this textbook to learn from scratch calculus, linear algebra, and some various mathematical methods, who has never seen this stuff before, of course they will have problems with such a short introduction to those two sub section, personally I think that the authors should just reform those two subsections into full chapters or just into bigger subsections in general and explain with more detail about sets and groups (maybe like 15-20 pages each), I mean, come on, the entire book is built using said information from those two subsections in order to understand what is going on in the rest of the text, I can see how that can be a problem for the uninitiated. If you're reading this and decide to buy the book, go for it, it's a really great text to do problems in and relearn or for the first time ever, learn CALC and LINALG and other side stuff that's very useful, also one can easily use this as a reference. But yeah, just expand those two subsections and make a table of symbols used throughout the text.

### ⭐⭐⭐⭐⭐ Quite clear exposition.
*by R***O on December 5, 2025*

I'm neither a mathematician nor a physicist, so I needed something clear/simple. This book has helped a lot. Especially like the part on perturbtion theory.

### ⭐⭐⭐⭐⭐ Precise Mathematical Physics
*by J***H on June 12, 2025*

It starts with very fundamental concepts, but treats them in a very precise way while being relevant to the upcoming physics-related mathematics. Calculus understanding is assumed, so if you're rusty on calculus, I would suggest first reading Quick Calculus by the MIT professors and Nobel prize winning physicists. I appreciate the way it's written and in my understanding there isn't a better book. I have also read the Boas book and I didn't think the treatment was particularly good, since the concepts weren't communicated well. I am somewhat biased since I also like condensed matter physics as a hobby.

## Frequently Bought Together

- Mathematics for Physicists: Introductory Concepts and Methods
- Mathematical Methods and Physical Insights: An Integrated Approach

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*Last updated: 2026-05-18*