Leon Takhtajan's Books

Hamiltonian Methods in the Theory of Solitons

By: Ludwig Faddeev,Leon Takhtajan

Write a review Read reviews Take a Quiz Solve Book Puzzle

Hamiltonian Methods in the Theory of Solitons

By: Ludwig Faddeev,Leon Takhtajan

The main characteristic of this classic exposition of the inverse scattering method and its applications to soliton theory is its consistent Hamiltonian approach to the theory. The nonlinear Schrödinger equation is considered as a main example, forming the first part of the book. The second part examines such fundamental models as the sine-Gordon equation and the Heisenberg equation, the classification of integrable models and methods for constructing their solutions.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

602

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540699694

ISBN 13

9783540699699

Flowering Plants

A Pictorial Guide to the World's Flora

By: Leon Gray

Write a review Read reviews Take a Quiz Solve Book Puzzle

Flowering Plants

A Pictorial Guide to the World's Flora

By: Leon Gray

Flowering Plants profiles a trove of more than 100 flowering plant families with over 700 beautiful photographs of these botanical stunners.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

291

Publisher

Chartwell Books

Published Date

ISBN 10

0785833064

ISBN 13

9780785833062

Weil-Petersson Metric on the Universal Teichmuller Space

By: Leon Armenovich Takhtadzhi︠a︡n,Lee-Peng Teo

Write a review Read reviews Take a Quiz Solve Book Puzzle

Weil-Petersson Metric on the Universal Teichmuller Space

By: Leon Armenovich Takhtadzhi︠a︡n,Lee-Peng Teo

In this memoir, we prove that the universal Teichmuller space $T(1)$ carries a new structure of a complex Hilbert manifold and show that the connected component of the identity of $T(1)$ -- the Hilbert submanifold $T {0 (1)$ -- is a topological group. We define a Weil-Petersson metric on $T(1)$ by Hilbert space inner products on tangent spaces, compute its Riemann curvature tensor, and show that $T(1)$ is a Kahler-Einstein manifold with negative Ricci and sectional curvatures. We introduce and compute Mumford-Miller-Morita characteristic forms for the vertical tangent bundle of the universal Teichmuller curve fibration over the universal Teichmuller space. As an application, we derive Wolpert curvature formulas for the finite-dimensional Teichmuller spaces from the formulas for the universal Teichmuller space. We study in detail the Hilbert manifold structure on $T {0 (1)$ and characterize points on $T {0 (1)$ in terms of Bers and pre-Bers embeddings by proving that the Grunsky operators $B {1 $ and The results of this memoir were presented in our e-prints: Weil-Petersson metric on the universal Teichmuller space I. Curvature properties and Chern forms, arXiv:math.CV/0312172 (2003), and Weil-Petersson metric on the universal Teichmuller space II. Kahler potential and period mapping, arXiv:math.CV/0406408 (2004).

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

136

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821839365

ISBN 13

9780821839362

Graphs and Patterns in Mathematics and Theoretical Physics

Proceedings of the Conference on Graphs and Patterns in Mathematics and Theoretical Physics, Dedicated to Dennis Sullivan's 60th Birthday, June 14-21, 2001, Stony Brook University, Stony Brook, NY

By: Mikhail Lyubich,Leon Armenovich Takhtadzhi︠a︡n

Write a review Read reviews Take a Quiz Solve Book Puzzle

Graphs and Patterns in Mathematics and Theoretical Physics

Proceedings of the Conference on Graphs and Patterns in Mathematics and Theoretical Physics, Dedicated to Dennis Sullivan's 60th Birthday, June 14-21, 2001, Stony Brook University, Stony Brook, NY

By: Mikhail Lyubich,Leon Armenovich Takhtadzhi︠a︡n

The Stony Brook Conference, "Graphs and Patterns in Mathematics and Theoretical Physics", was dedicated to Dennis Sullivan in honor of his sixtieth birthday. The event's scientific content, which was suggested by Sullivan, was largely based on mini-courses and survey lectures. The main idea was to help researchers and graduate students in mathematics and theoretical physics who encounter graphs in their research to overcome conceptual barriers. The collection begins with Sullivan's paper, "Sigma models and string topology," which describes a background algebraic structure for the sigma model based on algebraic topology and transversality. Other contributions to the volume were organized into five sections: Feynman Diagrams, Algebraic Structures, Manifolds: Invariants and Mirror Symmetry, Combinatorial Aspects of Dynamics, and Physics. These sections, along with more research-oriented articles, contain the following surveys: "Feynman diagrams for pedestrians and mathematicians" by M. Polyak, "Notes on universal algebra" by A. Voronov, "Unimodal maps and hierarchical models" by M. Yampolsky, and "Quantum geometry in action: big bang and black holes" by A. Ashtekar. This comprehensive volume is suitable for graduate students and research mathematicians interested in graph theory and its applications in mathematics and physics.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

443

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821836668

ISBN 13

9780821836668

Quantum Mechanics for Mathematicians

By: Leon Armenovich Takhtadzhi͡an

Write a review Read reviews Take a Quiz Solve Book Puzzle

Quantum Mechanics for Mathematicians

By: Leon Armenovich Takhtadzhi͡an

Presents a comprehensive treatment of quantum mechanics from a mathematics perspective. Including traditional topics, like classical mechanics, mathematical foundations of quantum mechanics, quantization, and the Schrodinger equation, this book gives a mathematical treatment of systems of identical particles with spin.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

410

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821846302

ISBN 13

9780821846308

Quantum Mechanics for Mathematicians

By: Leon Armenovich Takhtadzhi͡an

Write a review Read reviews Take a Quiz Solve Book Puzzle

Quantum Mechanics for Mathematicians

By: Leon Armenovich Takhtadzhi͡an

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

410

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821846302

ISBN 13

9780821846308

Hamiltonian Methods in the Theory of Solitons

By: Ludwig Faddeev,Leon Takhtajan

Write a review Read reviews Take a Quiz Solve Book Puzzle

Hamiltonian Methods in the Theory of Solitons

By: Ludwig Faddeev,Leon Takhtajan

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

602

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540699694

ISBN 13

9783540699699

Book's by Leon Takhtajan

Hamiltonian Methods in the Theory of Solitons

Hamiltonian Methods in the Theory of Solitons

Flowering Plants

Flowering Plants

Weil-Petersson Metric on the Universal Teichmuller Space

Weil-Petersson Metric on the Universal Teichmuller Space

Graphs and Patterns in Mathematics and Theoretical Physics

Graphs and Patterns in Mathematics and Theoretical Physics

Quantum Mechanics for Mathematicians

Quantum Mechanics for Mathematicians

Quantum Mechanics for Mathematicians

Quantum Mechanics for Mathematicians

Hamiltonian Methods in the Theory of Solitons

Hamiltonian Methods in the Theory of Solitons

Username

Password

Username

Password

Password again

Birthday

Email