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The Birth of Model Theory - Löwenheim`s Theorem in the Frame of the Theory of Relatives

Lowenheim's theorem reflects a critical point in the history of mathematical logic, for it marks the birth of model theory--that is, the;

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Elementary Fixed Point Theorems

This book provides a primary resource in basic fixed-point theorems due to Banach, Brouwer, Schauder and Tarski and their applications. Key;

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Asymptotic Properties of Permanental Sequences

density is symmetric, and by a generalization of the Dynkin theorem by Eisenbaum and Kaspi without requiring symmetry. Permanental processes are;

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Stochastic Communities

from a theorem that is mathematically implied by the stochastic species hypothesis.;

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Geometry, Dynamics And Topology Of Foliations

field. A number of theorems, nowadays considered to be classical, like the Reeb Stability Theorem, Haefliger's Theorem, and Novikov Compact leaf;

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Birth of a Theorem

how does inspiration strike? Cedric Villani takes us on a mesmerising adventure as he wrestles with the Boltzmann equation - a new theorem;

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Birth Of A Theorem Mathematical Adventur

how does inspiration strike? Cedric Villani takes us on a mesmerising adventure as he wrestles with the Boltzmann equation - a new theorem;

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Topology as Fluid Geometry

-Hurwitz Theorem, and the Classification Theorem for Compact 2-manifolds. Volume 2 also includes a number of theorems usually assumed without proof;

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A Course on Topological Vector Spaces

instance Banach's theorem on weak*-closed subspaces on the dual of a Banach space (alias the Krein-Smulian theorem), the Eberlein-Smulian theorem;

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Functional Analysis

This textbook on functional analysis offers a short and concise introduction to the subject. The book is designed in such a way as to;

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Riemannian Manifolds

theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnets Theorem, and a special case of the Cartan;

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Introduction to Riemannian Manifolds

all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems;

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Introduction to Riemannian Manifolds

all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems;

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Functional Analysis and Summability

, the author makes a sincere attempt for a gentle introduction of these topics to students. In the functional analysis component of the book;

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Invariance Theory

This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex;

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A Textbook of Graph Theory

Here is a solid introduction to graph theory, covering Dirac's theorem on k-connected graphs, Harary-Nashwilliam's theorem on the;

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The Discrete Mathematical Charms of Paul Erdos

Paul Erdos published more papers during his lifetime than any other mathematician, especially in discrete mathematics. He had a nose for;

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The Discrete Mathematical Charms of Paul Erdos

Paul Erdos published more papers during his lifetime than any other mathematician, especially in discrete mathematics. He had a nose for;

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Mostly Surfaces

Rigidity Theorem, the Dehn Dissection Theorem, and the Banach-Tarski Theorem. The goal of the book is to present a tapestry of ideas from;

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The Pi-Theorem

This volume presents applications of the Pi-Theorem to fluid mechanics and heat and mass transfer. The Pi-theorem yields a physical;

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Normalization, Cut-Elimination & The Theory Of Proofs

Gentzen's cut-elimination theorem is widely used as a tool for meta-mathematical investigations. It is sometimes claimed however that the;

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The Pythagorean Theorem

to Pythagoras, the theorem was known to the Babylonians more than a thousand years earlier. Pythagoras may have been the first to prove it;

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Bayes's Theorem

Bayes's theorem is a tool for assessing how probable evidence makes some hypothesis. The papers in this volume consider the worth and;

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Complex Integration and Cauchy's Theorem

Originally published in 1914 as number fifteen in the Cambridge Tracts in Mathematics and Mathematical Physics series, this book provides a;

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Symbolic Logic and Mechanical Theorem Proving

This book contains an introduction to symbolic logic and a thorough discussion of mechanical theorem proving and its applications. The book;

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Character Theory for the Odd Order Theorem

of a theorem of Suzuki on split BN-pairs of rank one; a prerequisite for the classification of finite simple groups. All researchers in group;

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The Pythagorean Theorem

Pythagoras, a famous Greek scholar, sathematician, and philosopher, formulated a proof for a theorem that is named for himthe Pythagorean;

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