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Mathematical Tools for Physics
Physics 315, University of Miami
Mathematical Tools for Physics, University of Miami. Physics 315, University of Miami James Nearing. This text is in PDF format, and is my attempt to provide a less expensive alternative to some of the printed books currently available for this course. Learn about gravity, electricity, magnets, gears and all kinds of interesting physics topics. As well as activities for children, there are also plenty of lesson plans and worksheets for teachers, ideas for parents and other teaching resources for anyone interested in physics and learning about science online.
James Nearing
- GCSE Physics Online Recommended for Home Learning The following organisations have recently recommended these resources to support students who are learning from home during the Covid-19 crisis.
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This text is in PDF format, and is my attempt to provide aless expensive alternative to some of the printed books currentlyavailable for this course. If you find any mistakes or any parts thatare unclear or any topics that you think I should not have omitted,please tell me.
I intend this for the undergraduate level, providing a one-semesterbridge between some of the introductory math courses and the physicscourses in which we expect to use the mathematics. This is the coursetypically called Mathematical Methods in Physics. The text itself hasbeen expanded so that it now contains far more than a one semester course.
The text is available as a single file to download and save,or as the separate chapters. Theadvantage of the single file is that the internal hyperlinks will takeyou anywhere in the book, while the internal links in the separate chaptersare confined to that chapter. The single file contains a fullindex (also linked).
In the body of the text, the equation references are linked, sothat clicking on the reference will take you to that equation. The index is also linked, andthere are a few links to web sites within the text.If you want to read this on the screen there are two formats. The firstis for a smaller screen and is formatted so that the page is wider thanit is tall. On a tablet, rotate it to landscape mode. The format for a large monitor is designed with smallmargins, so that you can more easily use a two-page display.
The link to Example Solutions below contains solutions to about 20% of the problems in the text.
The printed and bound version of this book is available fromDover Publications, and links to a couple of sources appear below.Though it lacks the hyperlinks of the pdfs, people seem to prefer theprinted page.
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| Nearing, home page | E-mail: j n e a r i n g @ m i a m i . e d u |
| OR as separate chapters: | |
| 1Basic Stuff | 10Partial Differential Equations |
| 2Infinite Series | 11Numerical Analysis |
| 3Complex Algebra | 12Tensors |
| 4Ordinary Differential Equations | 13Vector Calculus II |
| 5Fourier Series | 14Complex Variables |
| 6Vector Spaces | 15Fourier Analysis |
| 7Operators and Matrices | 16Calculus of Variations |
| 8Multivariable Calculus | 17Densities, Distributions |
| 9Vector Calculus I | |
| Fourier Animations Power Series Animations Drumhead Oscillations Group Velocity | |
| Mechanics Text by Nearing: | Mechanics (draft) |
| Online Text by Ed Connell: | Abstract and Linear Algebra |
| Online Text by Sean Mauch: | Applied Math |
| Online Books: | U Penn |
| Textbooks etc. | Mathematics |
| Textbooks etc. | Science et al. |
| UMiami Physics Dept | University of Miami |
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