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Numerical Python: Scientific Computing and Data Science Applications with Numpy, SciPy and Matplotlib
Numerical Python: Scientific Computing and Data Science Applications with Numpy, SciPy and Matplotlib

Leverage the numerical and mathematical modules in Python and its standard library as well as popular open source numerical Python packages like NumPy, SciPy, FiPy, matplotlib and more. This fully revised edition, updated with the latest details of each package and changes to Jupyter projects, demonstrates how to numerically compute...

Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB
Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB
Learn how to solve complex differential equations using MATLAB®

Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB® teaches readers how to numerically solve both ordinary and partial differential equations with ease. This innovative publication brings together a skillful treatment of MATLAB...

Mathematica by Example
Mathematica by Example
Mathematica bv Example is intended to bridge the gap which has existed between the very elementary handbooks available on Mathematica and those reference books written for the more advanced Mathematica users. This book is an extension of a manuscript which was developed to quickly introduce enough Mathematica commands to a group of...
Solving PDEs in C++ (Computational Science and Engineering)
Solving PDEs in C++ (Computational Science and Engineering)
This comprehensive book not only introduces the C and C++ programming languages but also shows how to use them in the numerical solution of partial differential equations (PDEs). It leads the reader through the entire solution process, from the original PDE, through the discretization stage, to the numerical solution of the resulting algebraic...
Introduction to Partial Differential Equations (Undergraduate Texts in Mathematics)
Introduction to Partial Differential Equations (Undergraduate Texts in Mathematics)

This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, and elsewhere. The exposition carefully balances solution techniques, mathematical rigor, and significant applications, all...

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. ...
Quantum Mechanics: A Simplified Approach
Quantum Mechanics: A Simplified Approach

Quantum mechanics is one of the most challenging subjects to learn. It is challenging because quantum phenomenon is counterintuitive, and the mathematics used to explain such a phenomenon is very abstract, and difficult to grasp. This textbook is an attempt to overcome these challenges. Every chapter presents quantum ideas step- by-...

Mathematical Modelling, Optimization, Analytic and Numerical Solutions (Industrial and Applied Mathematics)
Mathematical Modelling, Optimization, Analytic and Numerical Solutions (Industrial and Applied Mathematics)

This book discusses a variety of topics related to industrial and applied mathematics, focusing on wavelet theory, sampling theorems, inverse problems and their applications, partial differential equations as a model of real-world problems, computational linguistics, mathematical models and methods for meteorology, earth systems,...

Ordinary Differential Equations
Ordinary Differential Equations
Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton’s Interpolation Formulas,...
Curves and Singularities
Curves and Singularities
The object of this book is to introduce to a new generation of students an area of mathematics that has received a tremendous impetus during the last twenty years or so from developments in singularity theory.

The differential geometry of curves, families of curves and surfaces in Euclidean space has fascinated mathematicians and users
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Neural Networks with Discontinuous/Impact Activations (Nonlinear Systems and Complexity)
Neural Networks with Discontinuous/Impact Activations (Nonlinear Systems and Complexity)

This book presents as its main subject new models in mathematical neuroscience. A wide range of neural networks models with discontinuities are discussed, including impulsive differential equations, differential equations with piecewise constant arguments, and models of mixed type. These models involve discontinuities, which are natural...

Computer-Based Numerical & Statistical Techniques (with CD-ROM)(Mathematics)
Computer-Based Numerical & Statistical Techniques (with CD-ROM)(Mathematics)
T he limitations of analytical methods in practical applications have led mathematicians to evolve numerical methods. We know that exact methods often fail in drawing plausible inferences from a given set of tabulated data or in finding roots of transcendental equations or in solving non-linear differential equations.

Even if analytical
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