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Advances in Applied Mathematics

35 Series Titles


Boundary Value Problems on Time Scales, Volume II

Boundary Value Problems on Time Scales, Volume II

1st Edition

By Svetlin Georgiev, Khaled Zennir
August 26, 2024

Boundary Value Problems on Time Scales, Volume II is devoted to the qualitative theory of boundary value problems on time scales. Summarizing the most recent contributions in this area, it addresses a wide audience of specialists such as mathematicians, physicists, engineers and biologists. It can ...

Handbook of Exact Solutions to Mathematical Equations

Handbook of Exact Solutions to Mathematical Equations

1st Edition

By Andrei D. Polyanin
August 26, 2024

This reference book describes the exact solutions of the following types of mathematical equations: ● Algebraic and Transcendental Equations ● Ordinary Differential Equations ● Systems of Ordinary Differential Equations ● First-Order Partial Differential Equations ● Linear Equations and Problems of...

Handbook of Fractional Calculus for Engineering and Science

Handbook of Fractional Calculus for Engineering and Science

1st Edition

Edited By Harendra Singh, H M Srivastava, Juan J. Nieto
August 26, 2024

Fractional calculus is used to model many real-life situations from science and engineering. The book includes different topics associated with such equations and their relevance and significance in various scientific areas of study and research. In this book readers will find several important and...

Introduction to Quantum Control and Dynamics

Introduction to Quantum Control and Dynamics

2nd Edition

By Domenico D’Alessandro
August 26, 2024

The introduction of control theory in quantum mechanics has created a rich, new interdisciplinary scientific field, which is producing novel insight into important theoretical questions at the heart of quantum physics. Exploring this emerging subject, Introduction to Quantum Control and Dynamics ...

Observability and Mathematics Fluid Mechanics, Solutions of Navier-Stokes Equations, and Modeling

Observability and Mathematics: Fluid Mechanics, Solutions of Navier-Stokes Equations, and Modeling

1st Edition

By Boris Khots
August 26, 2024

The author approaches an old classic problem - the existence of solutions of Navier-Stokes equations. The main objective is to model and derive of equation of continuity, Euler equation of fluid motion, energy flux equation, Navier-Stokes equations from the observer point of view and solve classic ...

Separation of Variables and Exact Solutions to Nonlinear PDEs

Separation of Variables and Exact Solutions to Nonlinear PDEs

1st Edition

By Andrei D. Polyanin, Alexei I. Zhurov
August 26, 2024

Separation of Variables and Exact Solutions to Nonlinear PDEs is devoted to describing and applying methods of generalized and functional separation of variables used to find exact solutions of nonlinear partial differential equations (PDEs). It also presents the direct method of symmetry ...

Introducing Game Theory and its Applications

Introducing Game Theory and its Applications

2nd Edition

By Elliott Mendelson, Daniel Zwillinger
August 02, 2024

This classic text, originally from the noted logician Elliot Mendelson, is intended to be an easy-to-read introduction to the basic ideas and techniques of game theory. It can be used as a class textbook or for self-study. Introducing Game Theory and its Applications, Second Edition presents an ...

An Introduction to Partial Differential Equations with MATLAB

An Introduction to Partial Differential Equations with MATLAB

3rd Edition

By Matthew P. Coleman, Vladislav Bukshtynov
August 01, 2024

The first two editions of An Introduction to Partial Differential Equations with MATLAB® gained popularity among instructors and students at various universities throughout the world. Plain mathematical language is used in a friendly manner to provide a basic introduction to partial differential ...

General Quantum Numerical Analysis

General Quantum Numerical Analysis

1st Edition

By Svetlin Georgiev, Khaled Zennir
May 03, 2024

This book is focused on the qualitative theory of general quantum calculus, the modern name for the investigation of calculus without limits. It centers on designing, analysing and applying computational techniques for general quantum differential equations. The quantum calculus or q-calculus ...

Engineering Statics with MATLAB®

Engineering Statics with MATLAB®

1st Edition

By Lester W. Schmerr Jr.
March 07, 2024

This text makes use of symbolic algebra and vector-matrix algebra to demonstrate a new approach to learning statics. Symbolic solutions are obtained, together with the types of solutions covered in other texts, so that students can see the advantages of this new approach. This innovative text is an...

Multiplicative Partial Differential Equations

Multiplicative Partial Differential Equations

1st Edition

By Svetlin Georgiev, Khaled Zennir
October 30, 2023

Multiplicative Partial Differential Equations presents an introduction to the theory of multiplicative partial differential equations (MPDEs). It is suitable for all types of basic courses on MPDEs. The authors' aim is to present a clear and well-organized treatment of the concepts behind the ...

Clean Numerical Simulation

Clean Numerical Simulation

1st Edition

By Shijun Liao
September 05, 2023

This book describes the basic principles of Clean Numerical Simulation (CNS) proposed by the author in 2009, as well as several of its applications. Unlike conventional algorithms, CNS gives in a sufficiently long interval of time a convergent chaotic trajectory whose numerical noise is much lower ...

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