Topics in Mathematical Analysis and Differential Geometry
Topics in Mathematical Analysis and Differential Geometry

Author: Nicolas K. Laos

Publisher: World Scientific

Published: 1998

Total Pages: 580

ISBN-13: 9789810231804

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This book studies the interplay between mathematical analysis and differential geometry as well as the foundations of these two fields. The development of a unified approach to topological vector spaces, differential geometry and algebraic and differential topology of function manifolds led to the broad expansion of global analysis. This book serves as a self-contained reference on both the prerequisites for further study and the recent research results which have played a decisive role in the advancement of global analysis.

Thiele
Thiele

Author: Steffen L. Lauritzen

Publisher: Clarendon Press

Published: 2002

Total Pages: 274

ISBN-13: 9780198509721

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Thorvald Nicolai Thiele was a brilliant Danish researcher of the 19th century: a Professor of Astronomy at the University of Copenhagen and the founder of Hafnia, the first Danish private insurance company. This book examines his statistical work and translates three of his masterpieces.

A Treatise on Analytical Statics
A Treatise on Analytical Statics

Author: Edward John Routh

Publisher: Cambridge University Press

Published: 2013-09-05

Total Pages: 411

ISBN-13: 110805028X

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Edward John Routh (1831-1907) was a highly successful mathematics coach at Cambridge. He also contributed to the foundations of control theory and to the modern treatment of mechanics. Published between 1896 and 1902, this revised two-volume textbook offers extensive coverage of statics, with formulae and examples throughout.

Learn from the Masters
Learn from the Masters

Author: Frank Swetz

Publisher: American Mathematical Soc.

Published: 1995-12-31

Total Pages: 303

ISBN-13: 1470458284

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This book is for high school and college teachers who want to know how they can use the history of mathematics as a pedagogical tool to help their students construct their own knowledge of mathematics. Often, a historical development of a particular topic is the best way to present a mathematical topic, but teachers may not have the time to do the research needed to present the material. This book provides its readers with historical ideas and insights which can be immediately applied in the classroom. The book is divided into two sections: the first on the use of history in high school mathematics, and the second on its use in university mathematics. The articles are diverse, covering fields such as trigonometry, mathematical modeling, calculus, linear algebra, vector analysis, and celestial mechanics. Also included are articles of a somewhat philosophical nature, which give general ideas on why history should be used in teaching and how it can be used in various special kinds of courses. Each article contains a bibliography to guide the reader to further reading on the subject.

The Wonder of Quantum Spin
The Wonder of Quantum Spin

Author: Indubala I. Satija

Publisher: Oxford University Press

Published: 2024-06-20

Total Pages: 401

ISBN-13: 0198884850

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The Wonder of Quantum Spin discusses the key role quantum spin continues to play in many frontiers of physics that include the study of new exotic states of matter, quantum information and quantum computing. Spin tales also include the story of MRI - one of the most important applications of quantum science to humanity.