Learn IT - Books tags theorem

Fourier Analysis (Graduate Studies in Mathematics)

American Mathematical Society, 2000

Fourier analysis encompasses a variety of perspectives and techniques. This volume presents the real variable methods of Fourier analysis introduced by Calderón and Zygmund. The text was born from a graduate course taught at the Universidad Autónoma de Madrid and incorporates lecture notes from a course taught by José...

Stochastic Approximation and Its Application (Nonconvex Optimization and Its Applications)

Springer, 2002

This book presents the recent development of stochastic approximation algorithms with expanding truncations based on the TS (trajectory-subsequence) method, a newly developed method for convergence analysis. This approach is so powerful that conditions used for guaranteeing convergence have been considerably weakened in comparison with those...

The Higher Arithmetic: An Introduction to the Theory of Numbers

Cambridge University Press, 2008

'Although this book is not written as a textbook but rather as a work for the general reader, it could certainly be used as a textbook for an undergraduate course in number theory and, in the reviewer's opinion, is far superior for this purpose to any other book in English.' From a review of the first edition in Bulletin of the American...

A Combinatorial Introduction to Topology

Dover Publications, 1994

Topology is remarkable for its contributions to the popular culture of mathematics. Euler's formula for polyhedra, the four color theorem, the Mobius strip, the Klein bottle, and the general notion of a rubber sheet geometry are all part of the folklore of current mathematics. The student in a first course in topology, however, must often wonder...

Understanding the Infinite

Harvard Business School, 1994

In writing this book I have tried to keep mathematical prerequisites to a minimum. The reader who is essentially innocent of mathematical knowledge beyond that taught in high school should be able to read at least halfway through Chapter VIII plus parts of the rest of the book, though such a reader will need to skip the occasional formula. That is...

XML, XSLT, Java, and JSP: A Case Study in Developing a Web Application

New Riders Publishing, 2001

The book is a practical, hands-on experience in building web applications based on XML and Java technologies. This book is unique because it teaches the technologies by using them to build a web chat project throughout the book. The project is explained in great detail, after the reader is shown how to get and install the necessary tools to be...

Statistical Thermodynamics

Dover Publications, 1989

Nobel laureate’s brilliant attempt to develop a simple, unified standard method of dealing with all cases of statistical thermodynamics (classical, quantum, Bose-Einstein, Fermi-Dirac, etc.). Discussions of Nernst theorem, Planck’s oscillator, fluctuations, the n-particle problem, problem of radiation, much more.

The object...

Gamma: Exploring Euler's Constant

Princeton Press, 2003

Among the myriad of constants that appear in mathematics, p, e, and i are the most familiar. Following closely behind is g, or gamma, a constant that arises in many mathematical areas yet maintains a profound sense of mystery.

In a tantalizing blend of history and mathematics, Julian Havil takes the reader on a journey through...

Real Analysis and Probability (Cambridge Studies in Advanced Mathematics)

Cambridge University Press, 2002

This classic textbook, now reissued, offers a clear exposition of modern probability theory and of the interplay between the properties of metric spaces and probability measures. The new edition has been made even more self-contained than before; it now includes a foundation of the real number system and the Stone-Weierstrass theorem on...

The Unfinished Game: Pascal, Fermat, and the Seventeenth-Century Letter that Made the World Modern

Basic Books, 2008

PublishersWeekly.com

“This informative book is a lively, quick read for anyone who wonders about the science of predicting what’s next and how deeply it affects our lives.”

New Scientist
“This breezy book shows why probability theory, though...

Stability and Chaos in Celestial Mechanics (Springer Praxis Books / Astronomy and Planetary Sciences)

Springer, 2009

Alessandra Celletti’s proposed book presents classical celestial mechanics and its interplay with dynamical systems in a way that would be suitable for advance level undergraduate students as well as postgraduate students and researchers. First she uses paradigmatic models, such as the logistic map or the standard map, to introduce the...

Ramsey Theory for Discrete Structures

Springer, 2013

This monograph covers some of the most important developments in Ramsey theory from its beginnings in the early 20th century via its many breakthroughs to recent important developments in the early 21st century.

The book first presents a detailed discussion of the roots of Ramsey theory before offering a thorough discussion of the...

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