| viXra.org > General Mathematics > 2501 |
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| viXra.org > General Mathematics > 2501 |
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[3] viXra:2501.0172 [pdf] replaced on 2025-04-08 11:54:02
Authors: Timothy Jones
Comments: 7 Pages. Received some suggestions that are reflected here.
We give a way to memorize all 27 standard trigonometric identities, including the product to sum (P2S) and sum to product (S2P) trigonometric identities. These are generally not memorized, but puzzled out using the sum of two angles for the P2S and then P2S for S2P. We show here a faster way to recall these using what might be called heuristic generalizations. All 27 of the standard identities are reviewed in light of this type of trick. Links to a TI-84 program and a youtube video are given.
Category: General Mathematics
[2] viXra:2501.0040 [pdf] submitted on 2025-01-08 21:26:48
Authors: Taha Sochi
Comments: 171 Pages.
This book is about tensor analysis. It consists of 169 pages. The language and method used in presenting the ideas and techniques of tensors make it very suitable as a textbook or as a reference for an introductory course on tensor algebra and calculus or as a guide for self-studying and learning. The book contains many exercises. The detailed solutions of all these exercises are available in another book by the author (Solutions of Exercises of Tensor Calculus Made Simple).
Category: General Mathematics
[1] viXra:2501.0038 [pdf] submitted on 2025-01-08 21:32:36
Authors: Taha Sochi
Comments: 189 Pages.
This book is based on my previous book: Tensor Calculus Made Simple, where the development of tensor calculus concepts and techniques are continued at a higher level. Unlike the previous book which is largely based on a Cartesian approach, the formulation in the present book is based on a general coordinate system. The book is furnished with an index as well as detailed sets of exercises to provide useful revision and practice. To facilitate linking related concepts and sections, cross referencing is used extensively throughout the book. The book also contains a number of graphic illustrations to help the readers to visualize the ideas and understand the subtle concepts. The book can be used as a text for an introductory or an intermediate level course on tensor calculus.
Category: General Mathematics
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