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Ramsey Theory

1930 and Erdos and Szekeres article from 1935, while placing the various theorems in the context of T. S. Motzkin s thought on the subject;

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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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Bohr-jessen Limit Theorem, Revisited

This book is a self-contained exposition on the Bohr-Jessen limit theorem. This limit theorem, which is concerned with the behavior of the;

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Fermat's Last Theorem

This book, together with the companion volume, Fermat's Last Theorem: The Proof, presents in full detail the proof of Fermat's Last Theorem;

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Proof of Fermat's Theorem

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Notes on the Brown-Douglas-Fillmore Theorem

complete proof of the Brown-Douglas-Fillmore theorem. The book starts with a rapid introduction to the standard preparatory material in basic;

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Metamathematics, Machines and Godel's Proof

of Goedel's proof of his incompleteness theorem showed that no computer program could automatically prove true all the theorems of mathematics;

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Modular Forms and Fermat's Last Theorem

with Ribet's theorem and ideas of Frey and Serre to show, at long last, that Fermat's Last Theorem is true. Contributors to this volume include;

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Algebraic Number Theory and Fermat's Last Theorem

Updated to reflect current research, Algebraic Number Theory and Fermat's Last Theorem, Fourth Edition introduces fundamental ideas;

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Algebraic Number Theory and Fermat's Last Theorem

Updated to reflect current research, Algebraic Number Theory and Fermat's Last Theorem, Fourth Edition introduces fundamental ideas;

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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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A Course on Topological Groups

-Weyl theorem, the basic theorem in the representation theory of compact topological groups. The topological, analytical, and algebraic;

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Understanding Proof

. Mathematical Language 4. Direct Proof 5. Indirect Proof 6. Proof by Induction 7. Proof and Applications of Pythagoras Theorem 8. Proof in Calculus 9;

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Lectures on the H-Cobordism Theorem

in mathematics. This set gives new proof of the h-cobordism theorem that is different from the original proof presented by S. Smale. Originally;

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Lectures on the H-Cobordism Theorem

in mathematics. This set gives new proof of the h-cobordism theorem that is different from the original proof presented by S. Smale. Originally;

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Collected Papers Of V K Patodi

of the index theorem and to the study of differential geometric invariants of manifolds. This set of collected papers edited by Prof M Atiyah and;

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Local Analysis for the Odd Order Theorem

. This book presents a revision and expansion of the first half of the proof of the Feit-Thompson theorem. Simpler, more detailed proofs are;

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The Topology of 4-Manifolds

This book presents the classical theorems about simply connected smooth 4-manifolds: intersection forms and homotopy type, oriented and;

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Fermat Equation over several fields and other historical mathematical conjectures

possible simple proofs to complex mathematical problems. This book contains the results of these investigations, referring to Fermat's last theorem;

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Character Theory for the Odd Order Theorem

The famous and important theorem of W. Feit and J. G. Thompson states that every group of odd order is solvable, and the proof of this has;

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Theorems, Corollaries, Lemmas, And Methods Of Proof

many students experience as they make the transition from computational mathematics to advanced calculus and algebraic structures, Theorems;

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Foundations of Differentiable Manifolds and Lie Groups

integration on manifolds. The book also provides a proof of the de Rham theorem via sheaf cohomology theory and develops the local theory of elliptic;

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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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Complex Integration and Cauchy's Theorem

concise proof of Cauchy's Theorem, along with some applications of the theorem to the evaluation of definite integrals. This book will be of value;

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Fermat's Last Theorem

words, written in the 1630s, that Pierre de Fermat intrigued and infuriated the mathematics community. For over 350 years, proving Fermat's Last;

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Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127

The arithmetic Riemann-Roch Theorem has been shown recently by Bismut-Gillet-Soul. The proof mixes algebra, arithmetic, and analysis. The;

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Matrix Theory

a proof, a proof of Horn's theorem on the converse of Weyl's theorem, a proof of Camion-Hoffman's theorem on the converse of the diagonal;

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