Mathematics

Differential Equations & Nonlinearity

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Spectral Geometry of Partial Differential Operators

1st Edition

Michael Ruzhansky, Makhmud Sadybekov, Durvudkhan Suragan
February 17, 2020

The aim of Spectral Geometry of Partial Differential Operators is to provide a basic and self-contained introduction to the ideas underpinning spectral geometric inequalities arising in the theory of partial differential equations. Historically, one of the first inequalities of the spectral...

Differential Equations: A Modern Approach with Wavelets

1st Edition

Steven Krantz
January 21, 2020

This new book from one of the most published authors in all of mathematics is an attempt to offer a new, more modern take on the Differential Equations course. The world is changing. Because of the theory of wavelets, Fourier analysis is ever more important and central. And applications are a...

Ordinary Differential Equations: An Introduction to the Fundamentals

2nd Edition

Kenneth B. Howell
December 06, 2019

The Second Edition of Ordinary Differential Equations: An Introduction to the Fundamentals builds on the successful First Edition. It is unique in its approach to motivation, precision, explanation and method. Its layered approach offers the instructor opportunity for greater flexibility in...

Fractal Patterns in Nonlinear Dynamics and Applications

1st Edition

Santo Banerjee, M K Hassan, Sayan Mukherjee, A Gowrisankar
December 05, 2019

Most books on fractals focus on deterministic fractals as the impact of incorporating randomness and time is almost absent. Further, most review fractals without explaining what scaling and self-similarity means. This book introduces the idea of scaling, self-similarity, scale-invariance and their...

Method of Variation of Parameters for Dynamic Systems

1st Edition

V. Lakshmikantham
December 02, 2019

Method of Variation of Parameters for Dynamic Systems presents a systematic and unified theory of the development of the theory of the method of variation of parameters, its unification with Lyapunov's method and typical applications of these methods. No other attempt has been made to bring all the...

Partial Differential Equations: Analytical Methods and Applications

1st Edition

Victor Henner, Tatyana Belozerova, Alexander Nepomnyashchy
November 26, 2019

Partial Differential Equations: Analytical Methods and Applications covers all the basic topics of a Partial Differential Equations (PDE) course for undergraduate students or a beginners’ course for graduate students. It provides qualitative physical explanation of mathematical results while...

Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-Volume Set

1st Edition

Luis Manuel Braga da Costa Campos
November 22, 2019

  Volume IV of the series “Mathematics and Physics Applied to Science and Technology," this comprehensive six-book  set covers:Linear Differential Equations and OscillatorsNon-linear Differential Equations and Dynamical Systems Higher-order Differential Equations and...

Nonlinear Systems and Their Remarkable Mathematical Structures: Volume 2

1st Edition

Norbert Euler, Maria Clara Nucci
November 19, 2019

Nonlinear Systems and Their Remarkable Mathematical Structures, Volume 2 is written in a careful pedagogical manner by experts from the field of nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete). This book aims to clearly illustrate the mathematical...

Higher-Order Differential Equations and Elasticity

1st Edition

Luis Manuel Braga da Costa Campos
November 14, 2019

Higher-Order Differential Equations and Elasticity is the third book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set, they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This third book...

Simultaneous Systems of Differential Equations and Multi-Dimensional Vibrations

1st Edition

Luis Manuel Braga da Costa Campos
November 14, 2019

  Simultaneous Differential Equations and Multi-Dimensional Vibrations is the fourth book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set, they are the fourth volume in the series Mathematics and Physics Applied to Science and...

Linear Differential Equations and Oscillators

1st Edition

Luis Manuel Braga da Costa Campos
November 13, 2019

  Linear Differential Equations and Oscillators is the first book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set, they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This first...

Non-Linear Differential Equations and Dynamical Systems

1st Edition

Luis Manuel Braga da Costa Campos
November 13, 2019

  Non-Linear Differential Equations and Dynamical Systems is the second book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set, they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology....

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