Books in category Mathematics – Mathematical Analysis

Additive Number Theory The Classical Bases
This book is intended for students who want to lel?Ill additive number theory, not for experts who already know it. For this reason, proofs include many "unnecessary" and "obvious" steps; this is by design.

Weather Prediction by Numerical Process
New edition of a classic book which was the first comprehensive description of numerical weather prediction.

Linear Partial Differential Equations for Scientists and Engineers
The book may also be used as a reference for graduate students, researchers, and professionals in modern applied mathematics, mathematical physics, and engineering.

An Introduction to Special Functions
The subjects treated in this book have been especially chosen to represent a bridge connecting the content of a first course on the elementary theory of analytic functions with a rigorous treatment of some of the most important special …

Introductory Mathematics: Algebra and Analysis
This text provides a lively introduction to pure mathematics.

Mathematics of the 19th Century
The book History of Mathematics from Ancient Times to the Early Nineteenth Century [in Russian], which was published in the years 19701972, is cited in abbreviated form as HM (with volume and page number indicated).

It presents topics in ways that are most easily understood, yet does not sacrifice rigor or coverage. In using this book, students discover that real analysis is completely deducible from the axioms of the real number system.

Since that time symbolic dynamics has been used in ergodic theory, topological dynamics, hyperbolic dynamics, information theory and complex dynamics. Symbolic dynamical systems with a finite memory are stud ied in this book.

This book introduces the reader to linear functional analysis and to related parts of infinitedimensional Banach space theory.

"Under his influence the synthesis of relativity, quantum theory and the theory of operator algebras now called algebraic quantum field theory has proven itself to be extremely flexible and powerful. /…/ This book is by no means the summa …