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Introduction to Arnold’s Proof of the Kolmogorov–Arnold–Moser Theorem

by Achim Feldmeier ...

INTRODUCTION TO ARNOLD’S PROOF OF THE KOLMOGOROV–ARNOLD–MOSER THEOREMThis book provides an accessible step-by-step account of Arnold’s classical proof of the Kolmogorov–Arnold–Moser (KAM) Theorem. It begins with a general background of the theorem, proves the famous Liouville–Arnold theorem for integrable systems and introduces Kneser’s tori in four-dimensional phase space. It then introduces and ... Read more

$65.99 USD

INTRODUCTION TO ARNOLD’S PROOF OF THE KOLMOGOROV–ARNOLD–MOSER THEOREMThis book provides an accessible step-by-step account of Arnold’s classical proof of the Kolmogorov–Arnold–Moser (KAM) Theorem. It begins with a general background of the theorem, proves the famous Liouville–Arnold theorem for integrable systems and introduces Kneser’s tori in four-dimensional phase space. It then introduces and
... Read more
Theoretical Fluid Dynamics

by Achim Feldmeier ...

Series series Physics and Astronomy (R0)
This textbook gives an introduction to fluid dynamics based on flows for which analytical solutions exist, like individual vortices, vortex streets, vortex sheets, accretions disks, wakes, jets, cavities, shallow water waves, bores, tides, linear and non-linear free-surface waves, capillary waves, internal gravity waves and shocks.Advanced mathematical techniques ("calculus") are introduced and ... Read more

$80.99 USD

This textbook gives an introduction to fluid dynamics based on flows for which analytical solutions exist, like individual vortices, vortex streets, vortex sheets, accretions disks, wakes, jets, cavities, shallow water waves, bores, tides, linear and non-linear free-surface waves, capillary waves, internal gravity waves and shocks.Advanced mathematical techniques ("calculus") are introduced and
... Read more

Geometry from a Differentiable Viewpoint

by John McCleary ...

The development of geometry from Euclid to Euler to Lobachevsky, Bolyai, Gauss and Riemann is a story that is often broken into parts – axiomatic geometry, non-Euclidean geometry and differential geometry. This poses a problem for undergraduates: Which part is geometry? What is the big picture to which these parts belong? In this introduction to differential geometry, the parts are united with all ... Read more

$60.69 USD

The development of geometry from Euclid to Euler to Lobachevsky, Bolyai, Gauss and Riemann is a story that is often broken into parts – axiomatic geometry, non-Euclidean geometry and differential geometry. This poses a problem for undergraduates: Which part is geometry? What is the big picture to which these parts belong? In this introduction to differential geometry, the parts are united with all
... Read more
Modern Differential Geometry of Curves and Surfaces with Mathematica

by Elsa Abbena, Simon Salamon, Alfred Gray ...

Series series Textbooks in Mathematics
Presenting theory while using Mathematica in a complementary way, Modern Differential Geometry of Curves and Surfaces with Mathematica, the third edition of Alfred Gray’s famous textbook, covers how to define and compute standard geometric functions using Mathematica for constructing new curves and surfaces from existing ones. Since Gray’s death, authors Abbena and Salamon have stepped in to bring ... Read more

$200.00 USD

Presenting theory while using Mathematica in a complementary way, Modern Differential Geometry of Curves and Surfaces with Mathematica, the third edition of Alfred Gray’s famous textbook, covers how to define and compute standard geometric functions using Mathematica for constructing new curves and surfaces from existing ones. Since Gray’s death, authors Abbena and Salamon have stepped in to bring
... Read more
Kam Story, The: A Friendly Introduction To The Content, History, And Significance Of Classical Kolmogorov-arnold-moser Theory

by H Scott Dumas ...

This is a semi-popular mathematics book aimed at a broad readership of mathematically literate scientists, especially mathematicians and physicists who are not experts in classical mechanics or KAM theory, and scientific-minded readers. Parts of the book should also appeal to less mathematically trained readers with an interest in the history or philosophy of science.The scope of the book is broad ... Read more

$26.99 USD

This is a semi-popular mathematics book aimed at a broad readership of mathematically literate scientists, especially mathematicians and physicists who are not experts in classical mechanics or KAM theory, and scientific-minded readers. Parts of the book should also appeal to less mathematically trained readers with an interest in the history or philosophy of science.The scope of the book is broad
... Read more
A Primer on Mapping Class Groups

by Benson Farb, Dan Margalit ...

Series Book 49 - Princeton Mathematical Series
The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same time giving full details and keeping the text nearly self-contained. The book is suitable for graduate ... Read more

$74.99 USD

The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same time giving full details and keeping the text nearly self-contained. The book is suitable for graduate
... Read more
Dynamics in One Complex Variable

Third Edition

by John Milnor ...

Series Book 160 - Annals of Mathematics Studies
This volume studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. This subject is large and rapidly growing. These lectures are intended to introduce some key ideas in the field, and to form a basis for further study. The reader is assumed to be familiar with the rudiments of complex ... Read more

$74.89 USD

This volume studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. This subject is large and rapidly growing. These lectures are intended to introduce some key ideas in the field, and to form a basis for further study. The reader is assumed to be familiar with the rudiments of complex
... Read more
Algebraic Topology

A First Course

by Marvin J. Greenberg ...

Great first book on algebraic topology. Introduces (co)homology through singular theory. ... Read more

$101.99 USD

Great first book on algebraic topology. Introduces (co)homology through singular theory.
... Read more
Fractals in Probability and Analysis

by Christopher J. Bishop, Yuval Peres ...

Series Book 162 - Cambridge Studies in Advanced Mathematics
This is a mathematically rigorous introduction to fractals which emphasizes examples and fundamental ideas. Building up from basic techniques of geometric measure theory and probability, central topics such as Hausdorff dimension, self-similar sets and Brownian motion are introduced, as are more specialized topics, including Kakeya sets, capacity, percolation on trees and the traveling salesman ... Read more

$77.89 USD

This is a mathematically rigorous introduction to fractals which emphasizes examples and fundamental ideas. Building up from basic techniques of geometric measure theory and probability, central topics such as Hausdorff dimension, self-similar sets and Brownian motion are introduced, as are more specialized topics, including Kakeya sets, capacity, percolation on trees and the traveling salesman
... Read more
A Tale of Two Fractals

by A.A. Kirillov ...

Series series Mathematics and Statistics (R0)
Since Benoit Mandelbrot's pioneering work in the late 1970s, scores of research articles and books have been published on the topic of fractals. Despite the volume of literature in the field, the general level of theoretical understanding has remained low; most work is aimed either at too mainstream an audience to achieve any depth or at too specialized a community to achieve widespread use. ... Read more

$31.49 USD

Since Benoit Mandelbrot's pioneering work in the late 1970s, scores of research articles and books have been published on the topic of fractals. Despite the volume of literature in the field, the general level of theoretical understanding has remained low; most work is aimed either at too mainstream an audience to achieve any depth or at too specialized a community to achieve widespread use.
... Read more
Number Theory with an Emphasis on the Markoff Spectrum

Edited by Andrew Pollington ...

Series series Lecture Notes in Pure and Applied Mathematics
Presenting the proceedings of a recently held conference in Provo, Utah, this reference provides original research articles in several different areas of number theory, highlighting the Markoff spectrum.;Detailing the integration of geometric, algebraic, analytic and arithmetic ideas, Number Theory with an Emphasis on the Markoff Spectrum contains refereed contributions on: general problems of ... Read more

$225.00 USD

Presenting the proceedings of a recently held conference in Provo, Utah, this reference provides original research articles in several different areas of number theory, highlighting the Markoff spectrum.;Detailing the integration of geometric, algebraic, analytic and arithmetic ideas, Number Theory with an Emphasis on the Markoff Spectrum contains refereed contributions on: general problems of
... Read more
Quantum Kinematics And Dynamic

by Julian Schwinger ...

Series series Frontiers in Physics
A classic from 1969, this book is based on a series of lectures delivered at the Les Houches Summer School of Theoretical Physics in 1955. The book outlines a general scheme of quantum kinematics and dynamics. ... Read more

$101.99 USD

A classic from 1969, this book is based on a series of lectures delivered at the Les Houches Summer School of Theoretical Physics in 1955. The book outlines a general scheme of quantum kinematics and dynamics.
... Read more

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Physics and Astronomy (R0)

Introduction to Arnold’s Proof of the Kolmogorov–Arnold–Moser Theorem

Theoretical Fluid Dynamics

People who read these also enjoyed

Geometry from a Differentiable Viewpoint

Modern Differential Geometry of Curves and Surfaces with Mathematica

Kam Story, The: A Friendly Introduction To The Content, History, And Significance Of Classical Kolmogorov-arnold-moser Theory

A Primer on Mapping Class Groups

Dynamics in One Complex Variable

Algebraic Topology

Fractals in Probability and Analysis

A Tale of Two Fractals

Number Theory with an Emphasis on the Markoff Spectrum

Quantum Kinematics And Dynamic

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