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Symmetry in Mechanics: A Gentle, Modern Introduction

Posted By: AvaxGenius
Symmetry in Mechanics: A Gentle, Modern Introduction

Symmetry in Mechanics: A Gentle, Modern Introduction by Stephanie Frank Singer
English | PDF | 2004 | 201 Pages | ISBN : 0817641459 | 15 MB

"And what is the use," thought Alice, "of a book without pictures or conversations in it?" -Lewis Carroll This book is written for modem undergraduate students - not the ideal stu­ dents that mathematics professors wish for (and who occasionally grace our campuses), but the students like many the author has taught: talented but ap­ preciating review and reinforcement of past course work; willing to work hard, but demanding context and motivation for the mathematics they are learning. To suit this audience, the author eschews density of topics and efficiency of presentation in favor of a gentler tone, a coherent story, digressions on mathe­ maticians, physicists and their notations, simple examples worked out in detail, and reinforcement of the basics. Dense and efficient texts play a crucial role in the education of budding (and budded) mathematicians and physicists.

An Introduction to Smooth Manifolds

Posted By: AvaxGenius
An Introduction to Smooth Manifolds

An Introduction to Smooth Manifolds by Manjusha Majumdar , Arindam Bhattacharyya
English | PDF EPUB (True) | 2023 | 219 Pages | ISBN : 9819905648 | 25.8 MB

Targeted to graduate students of mathematics, this book discusses major topics like the Lie group in the study of smooth manifolds. It is said that mathematics can be learned by solving problems and not only by just reading it. To serve this purpose, this book contains a sufficient number of examples and exercises after each section in every chapter. Some of the exercises are routine ones for the general understanding of topics. The book also contains hints to difficult exercises. Answers to all exercises are given at the end of each section. It also provides proofs of all theorems in a lucid manner. The only pre-requisites are good working knowledge of point-set topology and linear algebra.