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An Introduction to Quantum Computing Algorithms
An Introduction to Quantum Computing Algorithms
In 1994 Peter Shor [65] published a factoring algorithm for a quantum computer that finds the prime factors of a composite integer N more efficiently than is possible with the known algorithms for a classical com­ puter. Since the difficulty of the factoring problem is crucial for the se­ curity of a public key encryption system,...
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...

Coronaviruses with Special Emphasis on First Insights Concerning SARS (Birkhýýuser Advances in Infectious Diseases)
Coronaviruses with Special Emphasis on First Insights Concerning SARS (Birkhýýuser Advances in Infectious Diseases)
It is with great pleasure that we introduce the first volume of Birkhäuser Advances in Infectious Diseases.This book series will focus on relevant topics of microbiology and infectious diseases with emphasis (as much as possible) on emerging pathogens and related diseases.The series will also stress the inter-disciplinarity...
Atmospheric and Space Flight Dynamics: Modeling and Simulation with MATLAB® and Simulink® (Modeling and Simulation in Science, Engineering and Technology)
Atmospheric and Space Flight Dynamics: Modeling and Simulation with MATLAB® and Simulink® (Modeling and Simulation in Science, Engineering and Technology)

This book offers a unified presentation that does not discriminate between atmospheric and space flight. It demonstrates that the two disciplines have evolved from the same set of physical principles and introduces a broad range of critical concepts in an accessible, yet mathematically rigorous presentation.

The book...

Mathematics and Computer Science II: Algorithms, Trees, Combinatorics and Probabilities (Trends in Mathematics)
Mathematics and Computer Science II: Algorithms, Trees, Combinatorics and Probabilities (Trends in Mathematics)

This is the second volume in a series of innovative proceedings entirely devoted to the connections between mathematics and computer science. Here mathematics and computer science are directly confronted and joined to tackle intricate problems in computer science with deep and innovative mathematical approaches.

The book...

Mathematics for the Analysis of Algorithms
Mathematics for the Analysis of Algorithms

"The book presents a welcome selection and careful exposition of material that can be (and is) covered in a single course...In this reviewer's opinion, this would be an interesting text to use with a group of advanced students well-grounded in undergraduate mathematics and computer science, and would produce a valuable course for the...

Classical Mechanics with Mathematica® (Modeling and Simulation in Science, Engineering and Technology)
Classical Mechanics with Mathematica® (Modeling and Simulation in Science, Engineering and Technology)

This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject.​ Developed by the author from 35 years of teaching experience, the presentation is designed to give students an overview of the many...

Separable Type Representations of Matrices and Fast Algorithms: Volume 1 Basics. Completion Problems. Multiplication and Inversion Algorithms (Operator Theory: Advances and Applications)
Separable Type Representations of Matrices and Fast Algorithms: Volume 1 Basics. Completion Problems. Multiplication and Inversion Algorithms (Operator Theory: Advances and Applications)
This two-volume work presents a systematic theoretical and computational study of several types of generalizations of separable matrices. The main attention is paid to fast algorithms (many of linear complexity) for matrices in semiseparable, quasiseparable, band and companion form. The work is focused on algorithms of multiplication, inversion...
An Introduction to Tensors and Group Theory for Physicists
An Introduction to Tensors and Group Theory for Physicists

The second edition of this highly praised textbook provides an introduction to tensors, group theory, and their applications in classical and quantum physics. Both intuitive and rigorous, it aims to demystify tensors by giving the slightly more abstract but conceptually much clearer definition found in the math literature, and then connects...

Automatic Control of Atmospheric and Space Flight Vehicles: Design and Analysis with MATLAB® and Simulink® (Control Engineering)
Automatic Control of Atmospheric and Space Flight Vehicles: Design and Analysis with MATLAB® and Simulink® (Control Engineering)
The main purpose of writing this book is to present a unified approach for automatic control of atmospheric and space flight vehicles. Such an outlook has become more necessary nowthan ever,with the advent of aerospace vehicleswhose singlemission covers operation as aircraft, rocket, and spacecraft at various instants....
Mathematics and Computer Science: Algorithms, Trees, Combinatorics and Probabilities (Trends in Mathematics)
Mathematics and Computer Science: Algorithms, Trees, Combinatorics and Probabilities (Trends in Mathematics)
This is the first book where mathematics and computer science are directly confronted and joined to tackle intricate problems in computer science with deep mathematical approaches. It contains a collection of refereed papers presented at the Colloquium on Mathematics and Computer Science held at the University of Versailles-St-Quentin on...
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,...
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