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Dr. Euler's Fabulous Formula

by Paul J. Nahin

I used to think math was no fun

'Cause I couldn't see how it was done

Now Euler's my hero

For I now see why zero

Equals e[pi] i+1

--Paul Nahin, electrical engineer

In the mid-eighteenth century, Swiss-born mathematician...


Computational Methods for Modeling of Nonlinear Systems

by Anatoli Torokhti & Phil Howlett

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation...


Handbook of Differential Equations: Stationary Partial Differential Equations: Stationary Partial Differential Equations

by Michel Chipot

A collection of self contained state-of-the art surveys. The authors have made an effort to achieve readability for mathematicians and scientists from other fields, for this series of handbooks to be a new reference...


A Modern Theory of Random Variation: With Applications in Stochastic Calculus, Financial Mathematics, and Feynman Integration

by Patrick Muldowney

A ground-breaking and practical treatment of probability and stochastic processes

A Modern Theory of Random Variation is a new and radical re-formulation of the mathematical underpinnings of subjects as diverse...


Natural Element Method for the Simulation of Structures and Processes

by Francisco Chinesta, Serge Cescotto & Elias Cueto

Computational mechanics is the discipline concerned with the use of computational methods to study phenomena governed by the principles of mechanics. Before the emergence of computational science (also called...


Mathematical Concepts and Methods in Modern Biology: Using Modern Discrete Models

by Raina Robeva & Terrell Hodge

Mathematical Concepts and Methods in Modern Biology offers a quantitative framework for analyzing, predicting, and modulating the behavior of complex biological systems. The book presents important mathematical...


Mathematical Modeling

by Mark M. Meerschaert

The new edition of Mathematical Modeling, the survey text of choice for mathematical modeling courses, adds ample instructor support and online delivery for solutions manuals and software ancillaries.

From genetic...


The Golden Ticket: P, NP, and the Search for the Impossible

by Lance Fortnow

The P-NP problem is the most important open problem in computer science, if not all of mathematics. The Golden Ticket provides a nontechnical introduction to P-NP, its rich history, and its algorithmic implications...


Numerical Methods in Electromagnetics: Special Volume

by W.H.A. SCHILDERS, E.J.W. TER MATEN & Philippe G. Ciarlet

This special volume provides a broad overview and insight in the way numerical methods are being used to solve the wide variety of problems in the electronics industry. Furthermore its aim is to give researchers...


Computability, Complexity, and Languages: Fundamentals of Theoretical Computer Science

by Martin Davis, Ron Sigal & Elaine J. Weyuker

This introductory text covers the key areas of computer science, including recursive function theory, formal languages, and automata. It assumes a minimal background in formal mathematics. The book is divided...


Polymer Science: A Comprehensive Reference

by Martin Moeller & Krzysztof Matyjaszewski

The progress in polymer science is revealed in essentially all chapters of Polymer Science: A Comprehensive Reference. In Volume 1, edited by Khokhlov and Kremer, this is reflected in the improved understanding...


Introduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics

by Shen R. Wu & Lei Gu

A systematic introduction to the theories and formulations of the explicit finite element method

As numerical technology continues to grow and evolve with industrial applications, understanding the explicit finite...


Assessing Building Performance

by Wolfgang Preiser & Jacqueline Vischer

The building performance evaluation (BPE) framework emphasizes an evaluative stance throughout the six phases of the building delivery and life cycle: (1) strategic planning/needs analysis; (2) program review;...


Differential Equations, Dynamical Systems, and an Introduction to Chaos

by Morris W. Hirsch, Stephen Smale & Robert L. Devaney

Hirsch, Devaney, and Smale's classic Differential Equations, Dynamical Systems, and an Introduction to Chaos has been used by professors as the primary text for undergraduate and graduate level courses covering...


Numerical Analysis of Partial Differential Equations

by S. H Lui

A balanced guide to the essential techniques for solving elliptic partial differential equations

Numerical Analysis of Partial Differential Equations provides a comprehensive, self-contained treatment of the...


Real Analysis with Economic Applications

by Efe A. Ok

There are many mathematics textbooks on real analysis, but they focus on topics not readily helpful for studying economic theory or they are inaccessible to most graduate students of economics. Real Analysis...