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Linear Algebra: A Geometric Approach
Linear Algebra: A Geometric Approach
One of the most enticing aspects of mathematics, we have found, is the interplay of ideas from seemingly disparate disciplines of the subject. Linear algebra provides a beautiful illustration of this, in that it is by nature both algebraic and geometric. ...
Mathematics of Economics and Business
Mathematics of Economics and Business
Today, a firm understanding of mathematics is essential for any serious student of economics. Students of economics need nowadays several important mathematical tools. These include calculus for functions of one or several variables as well as a basic understanding of optimization with and without constraints, e.g. linear programming plays an...
Constant Mean Curvature Surfaces with Boundary (Springer Monographs in Mathematics)
Constant Mean Curvature Surfaces with Boundary (Springer Monographs in Mathematics)

The study of surfaces with constant mean curvature (CMC) is one of the main topics in classical differential geometry. Moreover, CMC surfaces are important mathematical models for the physics of interfaces in the absence of gravity, where they separate two different media or for capillary phenomena. Further, as most techniques used in the...

Geometric Methods and Applications: For Computer Science and Engineering (Texts in Applied Mathematics)
Geometric Methods and Applications: For Computer Science and Engineering (Texts in Applied Mathematics)

This book is an introduction to the fundamental concepts and tools needed for solving problems of a geometric nature using a computer. It attempts to fill the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, robotics, or machine learning.

 This book...

Linear Algebra and Geometry
Linear Algebra and Geometry

This book is the result of a series of lectures on linear algebra and the geometry of multidimensional spaces given in the 1950s through 1970s by Igor R. Shafarevich at the Faculty of Mechanics and Mathematics of Moscow State University.

Notes for some of these lectures were preserved in the faculty library, and these were used...
Essentials of Probability & Statistics for Engineers & Scientists
Essentials of Probability & Statistics for Engineers & Scientists
This text was designed for a one-semester course that covers the essential topics needed for a fundamental understanding of basic statistics and its applications in the fields of...
Differential Equations with Linear Algebra
Differential Equations with Linear Algebra

Linearity plays a critical role in the study of elementary differential equations; linear differential equations, especially systems thereof, demonstrate a fundamental application of linear algebra. In Differential Equations with Linear Algebra, we explore this interplay between linear algebra and differential equations and examine...

Financial Instrument Pricing Using C++ (The Wiley Finance Series)
Financial Instrument Pricing Using C++ (The Wiley Finance Series)

The goal of this book is to model financial instruments, such as options, bonds and interest-rate products by partial differential equations, finite differences and C++. It is intended for IT and quantitative finance professionals who know this material and wish to deepen their knowledge and for those readers who use...

Elements of Information Theory (Wiley Series in Telecommunications and Signal Processing)
Elements of Information Theory (Wiley Series in Telecommunications and Signal Processing)

Following a brief introduction and overview, early chapters cover the basic algebraic relationships of entropy, relative entropy and mutual information, AEP, entropy rates of stochastics processes and data compression, duality of data compression and the growth rate of wealth. Later chapters explore Kolmogorov complexity, channel capacity,...

Mathematics for the Physical Sciences
Mathematics for the Physical Sciences
Advanced undergraduates and graduate students in the natural sciences receive a solid foundation in several fields of mathematics with this text. Topics include vector spaces and matrices; orthogonal functions; polynomial equations; asymptotic expansions; ordinary differential equations; conformal mapping; and extremum problems....
3+1 Formalism in General Relativity: Bases of Numerical Relativity (Lecture Notes in Physics, Vol. 846)
3+1 Formalism in General Relativity: Bases of Numerical Relativity (Lecture Notes in Physics, Vol. 846)

This graduate-level, course-based text is devoted to the 3+1 formalism of general relativity, which also constitutes the theoretical foundations of numerical relativity. The book starts by establishing the mathematical background (differential geometry, hypersurfaces embedded in space-time, foliation of space-time by a family of space-like...

Guide to Computational Geometry Processing: Foundations, Algorithms, and Methods
Guide to Computational Geometry Processing: Foundations, Algorithms, and Methods

This book reviews the algorithms for processing geometric data, with a practical focus on important techniques not covered by traditional courses on computer vision and computer graphics. Features: presents an overview of the underlying mathematical theory, covering vector spaces, metric space, affine spaces, differential geometry, and finite...

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