Suche books:   







  
Complexity of Proofs and Their Transformations in Axiomatic Theories (Translations of Mathematical Monographs)
V. P. Orevkov

Amer Mathematical Society, 1993

The aim of this work is to develop the tool of logical deduction schemata and use it to establish upper and lower bounds on the complexity of proofs and their transformations in axiomatized theories. The main results are establishment of upper bounds on the elongation of deductions in cut eliminations; a proof that the length of a direct deduction of an existence theorem in the predicate calculus cannot be bounded above by an ... 		  
  







  
  
Classical and Quantum Computation (Graduate Studies in Mathematics)2 reviews
A. Yu. Kitaev, A. H. Shen, ...

Amer Mathematical Society, 2002

Complexity of algorithms.
The book covers classical and quantum algorithms;-- of the 250 or so, pages of text, roughly the first 50 pages are "classical", the rest quantum;-- and indeed the aim of the book is to teach the wonders of the qubit-algorithms. While other books, such as Nielsen-Chuang, serve as (more or less)comprehensive references, the present book (by Kitaev et al) is focussed on complexity. The ... 		  
  







  
  
C*-Algebras by Example (Fields Institute Monographs, 6)2 reviews
Kenneth R. Davidson

Amer Mathematical Society, 1996

We learn from examples!
The theory of C*-algebras grew from applications, such as quantum theory and group representations. The continued vitality of the subject owes much to the study of examples, such as the approximately finite-dimensional C*-algebras(also called AF-algebras), the Cuntz algebras, the reduced group-C*-algebras, and the examples from physics, based on Fock space techniques. More ambitious ... 		  
  







  
  
John Von Neumann: The Scientific Genius Who Pioneered the Modern Computer, Game Theory, Nuclear Deterrence, ...7 reviews
Norman MacRae

Amer Mathematical Society, 2000

Links mathematics, internetworking, humanity & productivity
My father wrote this book after retiring from his career long job as The Economist's longest serving staff writer. Here are some comments on what other reviewers have said. It's true my father never studied for a phd in economics; if you'd just served in world war 2, got a first in economics in Cambridge and been offered a job at The Economist, you'd probably not have seen any practical point in ... 		  
  







  
  
Lectures on the Calculus of Variations
Oskar Bolza

Amer Mathematical Society, 2000

Based on lectures delivered at the AMS meeting in 1901, this book describes the progress in calculus of variations made in the last 30 years of the nineteenth century. Among other topics, the author describes the landmark results of Weierstrass on sufficient conditions for the extremum of a functional in terms of the second variation. Also discussed are Kneser's sufficient conditions, Weierstrass's theory of the isoperimetric ... 		  
  







  
  
The General Topology of Dynamical Systems (Graduate Studies in the Mathematical Sciences, V. 1)
Ethan Akin

Amer Mathematical Society, 1993

Topology, the foundation of modern analysis, arose historically as a way to organize ideas like compactness and connectedness which had emerged from analysis. Similarly, recent work in dynamical systems theory has both highlighted certain topics in the pre-existing subject of topological dynamics (such as the construction of Lyapunov functions and various notions of stability) and also generated new concepts and results (such as ... 		  
  







  
  
Mathematics: Frontiers and Perspectives3 reviews

Amer Mathematical Society, 2000

an excellent book
This is a wonderful collection of essays on the current state of mathematics, by some of the world's leading mathematicians. Some authors (e.g., Stanley and Sarnak) present lists of unsolved problems modelled after Hilbert's famous list. Others don't see that as useful, and instead outline the history, motivation, and current developments in their fields, or talk about neat related topics. All ... 		  
  







  
  
Mirror Symmetry and Algebraic Geometry (Mathematical Surveys & Monographs)1 review
David A. Cox

Amer Mathematical Society, 1999

Excellent overview of mirror symmetry
This book is one of the few monographs on mirror symmetry that is not a collection of articles written by specialists. It attempts to put mirror symmetry on a mathematically rigorous foundation and does so to a large degree. The book opens with a review of the motivations for mirror symmetry in quantum field theory and superstring theory. The content of this chapter is straightforward reading for ... 		  
  







  
  
Introduction to Approximation Theory (AMS/Chelsea Publication)
Elliott W. Cheney

Amer Mathematical Society, 2000

This volume contains historical background and discussion of results for each chapter, References, and an Index. 		  
  







  
  
History of the Theory of Numbers (AMS/Chelsea Publication)3 reviews
Leonard Eugene Dickson

Amer Mathematical Society, 1999

Not what you might expect.
The author was himself an expert in number theory and modern algebra (as it was) in his day. These volumes were published in 1919-23 so don't expect the latest results. In fact, the terminology won't even be the same since much of the theory has undergone a great deal of mollycoddling and reformulation...publish or perish, you know. If you plan to do original research in the theory of numbers, ... 		  
  







  
  
Mathematics 1: Japanese Grade 10 (Mathematical World, V. 8)1 review

Amer Mathematical Society, 1996

A good way for algebraically inclined students to prepare for calculus.
This clearly written concise text provides the reader with a good foundation for calculus. The problems in the text are challenging and require sophisticated algebra skills. The text covers real and complex numbers, set theory, logic, algebraic proofs, polynomial and rational expressions, quadratic equations, linear and nonlinear systems of equations, inequalities, coordinate systems, equations ... 		  
  







  
  
Lebesgue's Theory of Integration: Its Origins and Development (AMS Chelsea Publishing Series) (Ams Chelsea ...2 reviews
Thomas Hawkins

Amer Mathematical Society, 2001

reviewer at bottom should read book first
This book is not intended as textbook with which to learn the subject itself - it is intended as a partly historical treatise on how the subject developed. 		  
  







  
  
Lectures in Geometric Combinatorics (Student Mathematical Library, V. 33.) (Student Mathematical Library)
Rekha R. Thomas

Amer Mathematical Society, 2006

This book presents a course in the geometry of convex polytopes in arbitrary dimension, suitable for an advanced undergraduate or beginning graduate student. The book starts with the basics of polytope theory. Schlegel and Gale diagrams are introduced as geometric tools to visualize polytopes in high dimension and to unearth bizarre phenomena in polytopes. The heart of the book is a treatment of the secondary polytope of a point configuration ... 		  
  







  
  
Lectures on the Mathmatics of Finance (CRM Monograph)2 reviews
Ioannis Karatzas

Amer Mathematical Society, 1996

I think it is a very good book
I think it is a good book. It introduce the mathematical finance to the mathematician. It is clear and cmmplete. I do not know why the first reviewer just give it one star. 		  
  







  
  
Lectures on Ergodic Theory (AMS Chelsea Publishing)
Paul R. Halmos

Amer Mathematical Society, 2006

This classic book is based on lectures given by the author at the University of Chicago in 1956. The topics covered include, in particular, recurrence, the ergodic theorems, and a general discussion of ergodicity and mixing properties. There is also a general discussion of the relation between conjugacy and equivalence. With minimal prerequisites of some analysis and measure theory, this work can be used for a one-semester course in ergodic ... 		  
  







  
  
Fourteen Papers Translated from the Russian (American Mathematical Society Translations Series 2)
V. I. Arnol'D

Amer Mathematical Society, 1987

Contains topics in such areas as representation theory, mathematical physics, Lie groups, differential equations, and random processes 		  
  







  
  
Chaos and Fractals: The Mathematics Behind the Computer Graphics (Proceedings of Symposia in Applied ...1 review
Robert L. Devaney

Amer Mathematical Society, 1989

Somewhat dated, but still a good introduction to chaos and fractals
This material is the collection of lecture notes used for a short course presented by the American Mathematical Society in 1988. Therefore, the material is somewhat dated. The topics are: *) Dynamics of simple maps *) Nonlinear oscillations and the Smale horseshoe map *) Fractal basin boundaries and chaotic attractors *) Julia sets *) The Mandelbroit set *) Introduction to fractals *) ... 		  
  







  




search for books
approximation, combinatorics, mathematical, perspectives, transformations

Impressum / about us


Suche books: