Beginning graduate students in mathematical sciences and related areas in physical and computer sciences and engineering are expected to be familiar with a daunting breadth of mathematics, but few have such a background. This bestselling book helps students fill in the gaps in their knowledge. Thomas A. Garrity explains the basic points and a few key results of all the most important undergraduate topics in mathematics, emphasizing the intuitions behind the subject. The explanations are accompanied by numerous examples, exercises and suggestions for further reading that allow the reader to test and develop their understanding of these core topics. Featuring four new chapters and many other improvements, this second edition of All the Math You Missed is an essential resource for advanced undergraduates and beginning graduate students who need to learn some serious mathematics quickly.
Thomas A. Garrity
Cambridge University Press; 2nd edition (September 1, 2021)
416 pages
English
978-1009009195
File Size: 54 MB
Available File Formats: PDF AZW3 DOCX EPUB MOBI TXT or Kindle audiobook Audio CD(Several files can be converted to each other)
Language: English, Francais, Italiano, Espanol, Deutsch, chinese
‘Reading Garrity is like talking with your favorite uncle – he tells you the essential stories, in a clear and colorful way, and you get just what you need to explore further. The topics are well chosen (and there are more in this new edition). His points of view enrich the reader – not only do you learn what to know, but how to know it. I wish I had had this book when I started graduate school.’ John McCleary, Vassar College‘I admired one of the intentions behind the first edition of Garrity’s All the Math You Missed: to give students the tools to appreciate the applications of mathematics without painting a simplistic picture of ‘Applied Mathematics’. In this second edition, he takes this idea to the next level by introducing four additional chapters, dealing primarily with number theory and category theory.’ Robert Kotiuga, Boston University‘I felt like I was terribly underprepared for graduate school, and Garrity’s book helped me fill in some of those gaps. But far more importantly, the welcoming tone made me see that I wasn’t alone in feeling anxious, and it made grad school feel less intimidating.’ Daniel Erman, University of Wisconsin, Madison‘Incoming graduate students would find the book most useful … this book is designed to provide some useful guidance … The writing is clear and easy to read.’ Bill Satzer, MAA Reviews Book Description Fill in any gaps in your knowledge with this overview of key topics in undergraduate mathematics, now with four new chapters. About the Author Thomas A. Garrity is the Webster Atwell Class of 1921 Professor of Mathematics at Williams College, Massachusetts, where he was the director of the Williams College Project for Effective Teaching for many years. Among his awards are Rice University’s Nicolas Salgo Outstanding Teaching award and the Haimo award of the MAA. His other books include Algebraic Geometry: A Problem Solving Approach (2013, co-authored) and Electricity and Magnetism for Mathematicians (2015). Read more <div id="
The content of this textbook is comprehensive, interesting, and having majored mathematics, a pleasant nostalgia. But where are the solutions to the exercises??? How am I supposed to learn if I cannot verify my answers and solutions? Quite disappointing. Will be returning if I cannot get my hands on the exercise solutions.
I studied physics as an undergrad (a long time back), and have recently return to self-studies. This book provides an excellent summary of the essential theorems of advanced graduate mathematics, as needed for advanced undergraduate, and 1st/2nd year graduate study in physics. I’m not sure why the preview is virtually empty, not even a table of contents. That is usually a “red flag” for a book with no value, but here there is great content, clear organization, strong and graspable writing, and connections between different areas of math of well elucidated. This book is not for mathematicians, the proofs are brief or omitted altogether. But excellent for physicists, and probably for EEs, mech Es, material scientists, etc.If/when I have time, I may edit this to at least post the outline of the table of contents. Anyway — lacking a decent preview, I decided I could afford a few $$ to give the book a test run. I am glad I did.
This is the worst preview for a book I’ve ever seen. You don’t get the table of contents. You don’t get any content from the book. I might buy this is I had any idea of what’s inside of it.
Good survey of undergraduate mathematics but there is no logic, set theory and scant discrete mathematics coverage, with the exception of combinatorics and probabilityTable of ContentsPreface; On the structure of mathematics; Brief summaries of topics; 1. Linear algebra; 2. e and d real analysis; 3. Calculus for vector-valued functions; 4. Point set topology; 5. Classical stokes’ theorems; 6. Differential forms and Stokes’ theorem; 7. Curvature for curves and surfaces; 8. Geometry; 9. Complex analysis; 10. Countability and the axiom of choice; 11. Algebra; 12. Lebesgue integration; 13. Fourier analysis; 14. Differential equations; 15. Combinatorics and probability; 16. Algorithms; A. Equivalence relations.
They fed a pdf of the book into the kindle creator and wound up with a hideous mess. As many others have noted, wordslettersequations all run together, headers appear in random positions in the page. They didn’t have to release it in Kindle if they didn’t want to do the work to reformat it. Equations are generally indecipherable. And this is the second edition! Geez, no one even bothered to look at the result? They could have fixed it anytime between 7/21 and now. The content seems like it would be good if it were readable.
If you think you will learn graduate level mathematics from this book, you are very mistaken, this is a review of undergraduate level mathematics, some of it it’s useful for physicists, and engineers, from this book and it’s references you can expand your knowledge a lot.
I have the original book. This is a nice update and the author has done a good job with it. If you are looking for an overview of advanced mathematics for your studies, this is a great book to have.
No table of contents!
This book is definitely not for beginners. I have an MA in Economics and I wanted to brush up and improve my maths. The book is quite a challenge (for me anyway) but enjoyable at the same time. I bought it on the recommendation of The Maths Sorcerer on YouTube. If maths was difficult for you at school (eg at ‘O’ level), then you might be better with something a bit easier. Very good book though.
The Kindle edition of this book is very poorly formatted – single lines split over multiple lines, some symbols partially rendered. There are no links in the table of contents which makes navigation awkward.
Sabe aquela matemática que você deixou passar batido, ou que você viu na graduação, mas agora precisa relembrar porque chegou o momento de usar na sua pós-graduação? O objetivo desse livro é dar ao aluno ou pesquisador pelo menos uma ideia aproximada dos muitos tópicos que ele deveria saber para seguir mais confortavelmente no curso.E claro, diferentes áreas podem exigir o entendimento de diferentes tópicos da matemática do ensino superior. É por isso que esse livro cobre uma grande variedade de tópicos. Cada capítulo fornece um panorama, ou um esboço de uma área da matemática em que você possa estar interessado, com definições e provas. Pense nesse livro como um resumo dessa matemática toda, como um guia. E depois você complementa com um livro texto apropriado e especializado no tópico de interesse.É um livro leve, com um bom acabamento, impresso em papel de qualidade, e com uma linguagem acessível. Eu tive um contato com a primeira edição dele, e agora resolvi adquirir a recém-lançada segunda edição impressa. Indico para estudantes de pós-graduação em Engenharias, Física, Ciência da computação e áreas relacionadas.
I studied mathematics in graduate school 50 years ago, then worked as an actuary for 30 years. Thus I really enjoy reading a clear summary of the various topics one should know after a bachelor’s degree, review, nostalgia and catching up on what I missed. It is very enjoyable to read succinct accounts of the most central parts of mathemtics. Highly recommended!
Over the years, I have read many math books too many to count. This one I recommend for people who want a starting definition or general.
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