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Essentials of Mathematical Methods in Science and Engineering
Essentials of Mathematical Methods in Science and Engineering

A complete introduction to the multidisciplinary applications of mathematical methods

In order to work with varying levels of engineering and physics research, it is important to have a firm understanding of key mathematical concepts such as advanced calculus, differential equations, complex analysis, and introductory mathematical...

A Physicist's Guide to Mathematica, Second Edition
A Physicist's Guide to Mathematica, Second Edition
Mathematica enables the user to solve a wide range of physics problems and provides an environment that allows the user to develop a greater intuitive understanding of physics. This book will aid the reader in using Mathematica for numerical, symoblic, and graphical calculations, and also will demonstrate the program's capability to animate two-...
Real-Life Math: Everyday Use of Mathematical Concepts
Real-Life Math: Everyday Use of Mathematical Concepts
"What does this have to do with real life?" is a question that plagues mathematics teachers across America, as students are confronted with abstract topics in their high school mathematics courses. The National Council of Teachers of Mathematics emphasizes the importance of making real world connections in teaching mathematics so that...
Introduction to 2-Spinors in General Relativity
Introduction to 2-Spinors in General Relativity
... useful for those who are working with the two-spinor formalism and/or are interested in the Lanczos theory. -- General Relativity and Gravitation

This book deals with 2-spinors in general relativity, beginning by developing spinors in a geometrical way rather than using representation theory, which can be a little
...
Free Calculus: A Liberation from Concepts and Proofs
Free Calculus: A Liberation from Concepts and Proofs
Conventional calculus is too hard and too complex. Students are forced to learn too many theorems and proofs. In Free Calculus, the author suggests a direct approach to the two fundamental concepts of calculus -- differentiation and integration -- using two inequalities. Regular calculus is condensed into a single concise chapter. This makes the...
The LLL Algorithm: Survey and Applications (Information Security and Cryptography)
The LLL Algorithm: Survey and Applications (Information Security and Cryptography)

The LLL algorithm is a polynomial-time lattice reduction algorithm, named after its inventors, Arjen Lenstra, Hendrik Lenstra and László Lovász. The algorithm has revolutionized computational aspects of the geometry of numbers since its introduction in 1982, leading to breakthroughs in fields as diverse as computer algebra,...

A Combinatorial Introduction to Topology
A Combinatorial Introduction to Topology
Topology is remarkable for its contributions to the popular culture of mathematics. Euler's formula for polyhedra, the four color theorem, the Mobius strip, the Klein bottle, and the general notion of a rubber sheet geometry are all part of the folklore of current mathematics. The student in a first course in topology, however, must often wonder...
Handbook of Weighted Automata (Monographs in Theoretical Computer Science. An EATCS Series)
Handbook of Weighted Automata (Monographs in Theoretical Computer Science. An EATCS Series)

Weighted finite automata are classical nondeterministic finite automata in which the transitions carry weights. These weights may model, for example, the cost involved when executing a transition, the resources or time needed for this, or the probability or reliability of its successful execution. Weights can also be added to classical automata...

Real Analysis and Applications: Theory in Practice (Undergraduate Texts in Mathematics)
Real Analysis and Applications: Theory in Practice (Undergraduate Texts in Mathematics)

This new approach to real analysis stresses the use of the subject in applications, by showing how the principles and theory of real analysis can be applied in a variety of settings in subjects ranging from Fourier series and polynomial approximation to discrete dynamical systems and nonlinear optimization. Users will be prepared for more...

The Mathematics of Games and Gambling (Mathematical Association of America Textbooks)
The Mathematics of Games and Gambling (Mathematical Association of America Textbooks)
'The whole book is written with great urbanity and clarity ... it is hard to see how it could have been better or more readable.' The Mathematical Gazette

You can't lose with this MAA Book Prize winner if you want to see how mathematics can be used to analyze games of chance and skill. Roulette, craps, blackjack, backgammon,
...
Schaum's Outline of Feedback and Control Systems
Schaum's Outline of Feedback and Control Systems
An outline-guide to feedback and control systems covering such areas as differential equations, stability, block diagram algebra and transfer functions of systems.

Master feedback and control systems with Schaum's­­the high-performance study guide. It will help you cut study time, hone problem-solving skills, and
...
The Finite Element Method: Theory, Implementation, and Applications (Texts in Computational Science and Engineering)
The Finite Element Method: Theory, Implementation, and Applications (Texts in Computational Science and Engineering)

This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational...

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