New Horizons in Geometry by Apostol, Mnatsakanian

In summary, "New Horizons in Geometry" by Apostol, Mnatsakanian is a book that introduces readers to new and emerging areas of geometry and their applications in various fields of science and engineering. The book is aimed towards mathematicians, scientists, and graduate students and covers topics such as manifolds, Lie groups, topological methods, differential equations, algebraic curves and surfaces, and geometric combinatorics. It stands out from other books on geometry by including both traditional and newer areas of the field. While suitable for self-study, it is recommended to have a strong background in mathematics before attempting to read it.

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  • #2
This looks very interesting ,can anyone put the prerequisites?
 
  • #3
They say they use geometric intuition to solve problems usually approached by calculus, so it seems very little formal prerequisites are required.
 

1. What is the main focus of "New Horizons in Geometry" by Apostol, Mnatsakanian?

The main focus of this book is to introduce readers to new and emerging areas of geometry, such as differential geometry, algebraic geometry, and discrete geometry, and to explore their applications in various fields of science and engineering.

2. Who are the target audience for this book?

This book is aimed towards mathematicians, scientists, and graduate students who are interested in learning about the recent advancements in geometry and its applications.

3. What are some specific topics covered in this book?

Some specific topics covered in this book include manifolds, Lie groups, topological methods, differential equations, algebraic curves and surfaces, and geometric combinatorics.

4. How does this book differ from other books on geometry?

This book stands out from others as it not only covers traditional topics in geometry, but also delves into newer areas and their applications, providing a comprehensive overview of the field.

5. Is this book suitable for self-study?

While this book can be used for self-study, it is recommended to have a strong background in mathematics, particularly in calculus and linear algebra, before attempting to read it. It is best used as a supplementary text for graduate courses in geometry.

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