Stephen S.-T. Yau's Books

Euclidean Quantum Gravity

By: G. W. Gibbons,Stephen W. Hawking

Write a review Read reviews Take a Quiz Solve Book Puzzle

The Euclidean approach to Quantum Gravity was initiated almost 15 years ago in an attempt to understand the difficulties raised by the spacetime singularities of classical general relativity which arise in the gravitational collapse of stars to form black holes and the entire universe in the Big Bang. An important motivation was to develop an approach capable of dealing with the nonlinear, non-perturbative aspects of quantum gravity due to topologically non-trivial spacetimes. There are important links with a Riemannian geometry. Since its inception the theory has been applied to a number of important physical problems including the thermodynamic properties of black holes, quantum cosmology and the problem of the cosmological constant. It is currently at the centre of a great deal of interest.This is a collection of survey lectures and reprints of some important lectures on the Euclidean approach to quantum gravity in which one expresses the Feynman path integral as a sum over Riemannian metrics. As well as papers on the basic formalism there are sections on Black Holes, Quantum Cosmology, Wormholes and Gravitational Instantons.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

604

Publisher

World Scientific

Published Date

ISBN 10

9810205163

ISBN 13

9789810205164

Mathematical Principles in Bioinformatics

By: Stephen S.-T. Yau,Xin Zhao,Kun Tian,Hongyu Yu

Write a review Read reviews Take a Quiz Solve Book Puzzle

Mathematical Principles in Bioinformatics

By: Stephen S.-T. Yau,Xin Zhao,Kun Tian,Hongyu Yu

This textbook introduces bioinformatics to students in mathematics with no biology background assumed and it provides solid mathematical tools for biology students along with an understanding of how to implement them in bioinformatics problems. In addition to the basics, the text offers new approaches to understanding biological sequences. The concise presentation distinguishes itself from others on the subject, discussing and providing principles that relate to current open problems in bioinformatics as well as considering a variety of models. The convex hull principle is highlighted, opening a new interdisciplinary research area at the intersection of biology, mathematics, and computer science. Prerequisites include first courses in linear algebra, probability and statistics, and mathematical analysis. Researchers in mathematics, biology, and math-biology, will also find aspects of this text useful. This textbook is written based on the authors' research works that have been published in various journals along with the lecture notes used when teaching bioinformatics courses at the University of Illinois at Chicago and at Tsinghua University. The content may be divided into two parts. The first part includes three chapters, introducing some basic concepts. Chapter 1 provides biological background in molecular biology for mathematicians. Chapter 2 describes biological databases that are commonly used. Chapter 3 is concerned with alignment methods including global/local alignment, heuristic alignment, and multiple alignment. The second part consisting of five chapters, describes several bioinformatics principles using a rigorous mathematical formulation. Chapter 4 introduces the time-frequency spectral principle and its applications in bioinformatics. In Chapters 5 and 6, two strategies are used, the graphical representation and the natural vector method, to represent biological sequences, and conduct sequence comparison and phylogenetic analysis without alignment. Chapter 7 presents the convex hull principle and shows how it can be used to mathematically determine whether a certain amino acid sequence can be a protein. The last chapter summarizes additional mathematical ideas relating to sequence comparisons, such as new feature vectors and metrics. This part focuses on the governing principle in biology and provides plenty of alignment-free methods, which cannot be found in any other book.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

177

Publisher

Springer Nature

Published Date

ISBN 10

3031482956

ISBN 13

9783031482953

Gorenstein Quotient Singularities in Dimension Three

By: Stephen Shing-Toung Yau,Yung Yu

Write a review Read reviews Take a Quiz Solve Book Puzzle

Gorenstein Quotient Singularities in Dimension Three

By: Stephen Shing-Toung Yau,Yung Yu

In chapter one we address the classification of finite subgroups of [italic capitals]SL([bold]3,[double-struck capital]C). This is followed by a general method to find invariant polynomials and their relations of finite subgroups of [italic capitals]GL([bold]3,[double-struck capital]C). Lastly, we recall some properties of quotient varieties and prove that [double-struck capital]C3/[italic capital]G has isolated singularities if and only if [italic capital]G is abelian and 1 is not an eigenvalue of g in [italic capital]G.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

102

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821825674

ISBN 13

9780821825679

First International Congress of Chinese Mathematicians

Proceedings of ICCM98, December 12-16, 1998, Morningside Center of Mathematics, Chinese Academy of Sciences, Beijing, China

By: Stephen Shing-Toung Yau

Write a review Read reviews Take a Quiz Solve Book Puzzle

First International Congress of Chinese Mathematicians

Proceedings of ICCM98, December 12-16, 1998, Morningside Center of Mathematics, Chinese Academy of Sciences, Beijing, China

By: Stephen Shing-Toung Yau

The International Congress of Mathematicians was an historical event that was held at the Morningside Center of Mathematics of the Chinese Academy of Sciences (Beijing). It was the first occasion where Chinese mathematicians from all over the world gathered to present their research. The Morningside Mathematics lectures were given by R. Borcherds, J. Coates, R. Graham, and D. Stroock. Other distinguished speakers included J.-P. Bourguignon, J. Jöst, M. Taylor, and S. L. Lee. Topics covered in the volume include algebra and representation theory, algebraic geometry, number theory and automorphic forms, Riemannian geometry and geometric analysis, mathematical physics, topology, complex analysis and complex geometry, computational mathematics, and combinatorics. Titles in this series are copublished with International Press, Cambridge, MA.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

596

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821826522

ISBN 13

9780821826522

Some Novel Types of Fractal Geometry

By: Stephen Semmes

Write a review Read reviews Take a Quiz Solve Book Puzzle

Some Novel Types of Fractal Geometry

By: Stephen Semmes

This book deals with fractal geometries that have features similar to ones of ordinary Euclidean spaces, while at the same time being quite different from Euclidean spaces.. A basic example of this feature considered is the presence of Sobolev or Poincaré inequalities, concerning the relationship between the average behavior of a function and the average behavior of its small-scale oscillations. Remarkable results in the last few years through Bourdon-Pajot and Laakso have shown that there is much more in the way of geometries like this than have been realized, only examples related to nilpotent Lie groups and Carnot metrics were known previously. On the other had, 'typical' fractals that might be seen in pictures do not have these same kinds of features. This text examines these topics in detail and will interest graduate students as well as researchers in mathematics and various aspects of geometry and analysis.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

180

Publisher

Oxford University Press

Published Date

ISBN 10

0198508069

ISBN 13

9780198508069

Stephen King goes to the movies

By: Stephen King

Write a review Read reviews Take a Quiz Solve Book Puzzle

Stephen King goes to the movies

By: Stephen King

I racconti di Stephen King prendono vita sul grande schermo! Una vera chicca per gli appassionati del Re del brivido.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

560

Publisher

SPERLING & KUPFER

Published Date

ISBN 10

8820090120

ISBN 13

9788820090128

Danse Macabre

By: Stephen King

Write a review Read reviews Take a Quiz Solve Book Puzzle

Danse Macabre

By: Stephen King

Tour of the whole horror genre in books, film, radio, and TV by the most popluar writer in the genre today.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

468

Publisher

Berkley

Published Date

ISBN 10

042506462X

ISBN 13

9780425064627

Stephen Fry in America

By: Stephen Fry

Write a review Read reviews Take a Quiz Solve Book Puzzle

Stephen Fry in America

By: Stephen Fry

In his chariot of Englishness - a black London cab - Stephen starts his journey on the east coast and zig-zags across America, stopping in every state from Maine to Hawaii. ---Cover.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

326

Publisher

HarperCollins UK

Published Date

ISBN 10

0007266340

ISBN 13

9780007266340

Book's by Stephen S.-T. Yau

Euclidean Quantum Gravity

Euclidean Quantum Gravity

Mathematical Principles in Bioinformatics

Mathematical Principles in Bioinformatics

Gorenstein Quotient Singularities in Dimension Three

Gorenstein Quotient Singularities in Dimension Three

First International Congress of Chinese Mathematicians

First International Congress of Chinese Mathematicians

Some Novel Types of Fractal Geometry

Some Novel Types of Fractal Geometry

Stephen King goes to the movies

Stephen King goes to the movies

Danse Macabre

Danse Macabre

Stephen Fry in America

Stephen Fry in America

Username

Password

Username

Password

Password again

Birthday

Email