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Laws of Small Numbers: Extremes and Rare Events
Laws of Small Numbers: Extremes and Rare Events

Since the publication of the first edition of this seminar book in 1994, the theory and applications of extremes and rare events have enjoyed an enormous and still increasing interest. The intention of the book is to give a mathematically oriented development of the theory of rare events underlying various applications. This characteristic of...

Advanced Calculus: A Differential Forms Approach (Modern Birkhäuser Classics)
Advanced Calculus: A Differential Forms Approach (Modern Birkhäuser Classics)

In a book written for mathematicians, teachers of mathematics, and highly motivated students, Harold Edwards has taken a bold and unusual approach to the presentation of advanced calculus. He begins with a lucid discussion of differential forms and quickly moves to the fundamental theorems of calculus and Stokes’ theorem. The result is...

Magic Graphs
Magic Graphs

Magic squares are among the more popular mathematical recreations. Over the last 50 years, many generalizations of “magic” ideas have been applied to graphs. Recently there has been a resurgence of interest in “magic labelings” due to a number of results that have applications to the problem of decomposing graphs into...

Thinking in Problems: How Mathematicians Find Creative Solutions
Thinking in Problems: How Mathematicians Find Creative Solutions

This concise, self-contained textbook gives an in-depth look at problem-solving from a mathematician’s point-of-view. Each chapter builds off the previous one, while introducing a variety of methods that could be used when approaching any given problem. Creative thinking is the key to solving mathematical problems, and this book...

Introduction to Stochastic Integration (Modern Birkhäuser Classics)
Introduction to Stochastic Integration (Modern Birkhäuser Classics)

A highly readable introduction to stochastic integration and stochastic differential equations, this book combines developments of the basic theory with applications. It is written in a style suitable for the text of a graduate course in stochastic calculus, following a course in probability.

Using the modern approach, the...

Algebraic Approximation: A Guide to Past and Current Solutions (Frontiers in Mathematics)
Algebraic Approximation: A Guide to Past and Current Solutions (Frontiers in Mathematics)

This book contains an exposition of several results related with direct and converse theorems in the theory of approximation by algebraic polynomials in a finite interval. In addition, some facts concerning trigonometric approximation that are necessary for motivation and comparisons are included. The selection of papers that are referenced...

Advances in Dynamic Games: Theory, Applications, and Numerical Methods
Advances in Dynamic Games: Theory, Applications, and Numerical Methods

This contributed volume focuses on aspects of dynamic game theory including differential games, evolutionary games, and stochastic games. It covers theoretical developments, algorithmic methods, and applications to fields as varied as mathematical biology, environmental management, economics, engineering, guidance and control, and social...

Prime Numbers and Computer Methods for Factorization (Modern Birkhäuser Classics)
Prime Numbers and Computer Methods for Factorization (Modern Birkhäuser Classics)

From the original hard cover edition:In the modern age of almost universal computer usage, practically every individual in a technologically developed society has routine access to the most up-to-date cryptographic technology that exists, the so-called RSA public-key cryptosystem. A major component of this system is the factorization of large...

A First Course in Statistics for Signal Analysis
A First Course in Statistics for Signal Analysis

This self-contained and user-friendly textbook is designed for a first, one-semester course in statistical signal analysis for a broad audience of students in engineering and the physical sciences. The emphasis throughout is on fundamental concepts and relationships in the statistical theory of stationary random signals, which are explained...

Measure Theory: Second Edition (Birkhäuser Advanced Texts   Basler Lehrbücher)
Measure Theory: Second Edition (Birkhäuser Advanced Texts Basler Lehrbücher)

Intended as a self-contained introduction to measure theory, this textbook also includes a comprehensive treatment of integration on locally compact Hausdorff spaces, the analytic and Borel subsets of Polish spaces, and Haar measures on locally compact groups. This second edition includes a chapter on measure-theoretic probability...

Set Theory: With an Introduction to Real Point Sets
Set Theory: With an Introduction to Real Point Sets

What is a number? What is infinity? What is continuity? What is order? Answers to these fundamental questions obtained by late nineteenth-century mathematicians such as Dedekind and Cantor gave birth to set theory. This textbook presents classical set theory in an intuitive but concrete manner.

To allow flexibility of topic...

Pharmacotherapy of Obesity (Milestones in Drug Therapy)
Pharmacotherapy of Obesity (Milestones in Drug Therapy)

After three introductory chapters that deal with the general theme of obesity – now regarded as a chronic disease – this volume discusses the drugs sibutramine and orlistat, which are approved for long-term use in the US and in much of the rest of the world. The three final chapters discuss future drug targets, like the central...

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