How Long to Read Introduction to Isospectrality

How Long Does it Take to Read Introduction to Isospectrality?

It takes the average reader 4 hours and 13 minutes to read Introduction to Isospectrality by Alberto Arabia

Assuming a reading speed of 250 words per minute. Learn more

Description

"Can one hear the shape of a drum?" This striking question, made famous by Mark Kac, conceals a precise mathematical problem, whose study led to sophisticated mathematics. This textbook presents the theory underlying the problem, for the first time in a form accessible to students. Specifically, this book provides a detailed presentation of Sunada's method and the construction of non-isometric yet isospectral drum membranes, as first discovered by Gordon–Webb–Wolpert. The book begins with an introductory chapter on Spectral Geometry, emphasizing isospectrality and providing a panoramic view (without proofs) of the Sunada–Bérard–Buser strategy. The rest of the book consists of three chapters. Chapter 2 gives an elementary treatment of flat surfaces and describes Buser's combinatorial method to construct a flat surface with a given group of isometries (a Buser surface). Chapter 3 proves the main isospectrality theorems and describes the transplantation technique on Buser surfaces. Chapter 4 builds Gordon–Webb–Wolpert domains from Buser surfaces and establishes their isospectrality. Richly illustrated and supported by four substantial appendices, this book is suitable for lecture courses to students having completed introductory graduate courses in algebra, analysis, differential geometry and topology. It also offers researchers an elegant, self-contained reference on the topic of isospectrality.

How long is Introduction to Isospectrality?

Introduction to Isospectrality by Alberto Arabia is 247 pages long, and a total of 63,479 words.

This makes it 83% the length of the average book. It also has 78% more words than the average book.

How Long Does it Take to Read Introduction to Isospectrality Aloud?

The average oral reading speed is 183 words per minute. This means it takes 5 hours and 46 minutes to read Introduction to Isospectrality aloud.

What Reading Level is Introduction to Isospectrality?

Introduction to Isospectrality is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Introduction to Isospectrality?

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