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Handbook of Floating-Point Arithmetic
Handbook of Floating-Point Arithmetic

Floating-point arithmetic is by far the most widely used way of implementing real-number arithmetic on modern computers. Although the basic principles of floating-point arithmetic can be explained in a short amount of time, making such an arithmetic reliable and portable, yet fast, is a very difficult task. From the 1960s to the early 1980s,...

Partial Differential Equations: Second Edition (Cornerstones)
Partial Differential Equations: Second Edition (Cornerstones)

This self-contained text offers an elementary introduction to partial differential equations (pdes), primarily focusing on linear equations, but also providing some perspective on nonlinear equations. The classical treatment is mathematically rigorous with a generally theoretical layout, though indications to some of the physical origins of pdes...

Spacetime, Geometry and Gravitation (Progress in Mathematical Physics)
Spacetime, Geometry and Gravitation (Progress in Mathematical Physics)

Teaching Einstein’s general relativity at introductory level poses problems because students cannot begin to appreciate the basics of the theory unless they learn a sufficient amount of Riemannian geometry. Most elementary books take the easy course of telling the students a few working rules stripping the mathematical details to a minimum...

Geometric Optics: Theory and Design of Astronomical Optical Systems Using Mathematica®
Geometric Optics: Theory and Design of Astronomical Optical Systems Using Mathematica®

This book—unique in the literature—provides readers with the mathematical background needed to design many of the optical combinations that are used in astronomical telescopes and cameras. The results presented in the work were obtained by using a different approach to third-order aberration theory as well as the extensive use of the...

Algorithms and Programming: Problems and Solutions (Modern Birkhäuser Classics)
Algorithms and Programming: Problems and Solutions (Modern Birkhäuser Classics)
Somebody once said that one may prove the correctness of an algorithm, but not of a program. One of the main goals of this book is to convince the reader that things are not so bad.

A well-known programmer, C.A.R. Hoare, said that the beauty of a program is not an additional benefit but a criterion that separates success from failure.
...
Inequalities: A Mathematical Olympiad Approach
Inequalities: A Mathematical Olympiad Approach

This book is intended for the Mathematical Olympiad students who wish to prepare for the study of inequalities, a topic now of frequent use at various levels of mathematical competitions. In this volume we present both classic inequalities and the more useful inequalities for confronting and solving optimization problems. An important part of...

Supervisory Control of Concurrent Systems: A Petri Net Structural Approach (Systems & Control: Foundations & Applications)
Supervisory Control of Concurrent Systems: A Petri Net Structural Approach (Systems & Control: Foundations & Applications)
Increasing complexity in engineering projects raises difficult challenges in industry and requires effective tools for correct-by-construction design or design verification. This book addresses the design of such tools for correct-by-construction synthesis of supervisors for systems and specifications represented in the discrete-event framework....
The Agent Modeling Language - AML: A Comprehensive Approach to Modeling Multi-Agent Systems
The Agent Modeling Language - AML: A Comprehensive Approach to Modeling Multi-Agent Systems
Multi-agent systems are already a focus of studies for more than 25 years. Despite substantial effort of an active research community, modeling of multi-agent systems still lacks complete and proper definition, general acceptance, and practical application. Due to the vast potential of these systems e.g. to improve the practice in software and to...
Fourier Analysis on Finite Abelian Groups (Applied and Numerical Harmonic Analysis)
Fourier Analysis on Finite Abelian Groups (Applied and Numerical Harmonic Analysis)

Fourier analysis has been the inspiration for a technological wave of advances in fields such as imaging processing, financial modeling, algorithms and sequence design. This unified, self-contained book examines the mathematical tools used for decomposing and analyzing functions, specifically, the application of the [discrete] Fourier transform...

Transport Equations in Biology (Frontiers in Mathematics)
Transport Equations in Biology (Frontiers in Mathematics)
This book presents models written as partial differential equations and originating from various questions in population biology, such as physiologically structured equations, adaptive dynamics, and bacterial movement. Its purpose is to derive appropriate mathematical tools and qualitative properties of the solutions (long time behavior,...
104 Number Theory Problems: From the Training of the USA IMO Team
104 Number Theory Problems: From the Training of the USA IMO Team
This challenging problem book by renowned US Olympiad coaches, mathematics teachers, and researchers develops a multitude of problem-solving skills needed to excel in mathematical contests and research in number theory. Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas,...
Introduction to Computational Biology: An Evolutionary Approach
Introduction to Computational Biology: An Evolutionary Approach
In 1982, the first release of the GenBank sequence database contained 601,438 residues. By 2005, this number had grown beyond and continues to increase exponentially. Far from regarding this as “information overload”, we believe the free availability of so much precise and fundamental data on the ultimate constituents of life to be the...
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