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Partial Differential Equations and Solitary Waves Theory

"Partial Differential Equations and Solitary Waves Theory" is a self-contained book divided into two parts: Part I is a coherent survey bringing together newly developed methods for solving PDEs. While some traditional techniques are presented, this part does not require thorough understanding of abstract theories or compact concepts. Well-selected worked examples and exercises shall guide the reader through the text. Part II provides an extensive exposition of the solitary waves theory. This part handles nonlinear evolution equations by methods such as Hirota’s bilinear method or the tanh-coth method. A self-contained treatment is presented to discuss complete integrability of a wide class of nonlinear equations. This part presents in an accessible manner a systematic presentation of solitons, multi-soliton solutions, kinks, peakons, cuspons, and compactons. While the whole book can be used as a text for advanced undergraduate and graduate students in applied mathematics, physics and engineering, Part II will be most useful for graduate students and researchers in mathematics, engineering, and other related fields. Dr. Abdul-Majid Wazwaz is a Professor of Mathematics at Saint Xavier University, Chicago, Illinois, USA.

While some traditional techniques are presented, this part does not require thorough understanding of abstract theories or compact concepts. Well-selected worked examples and exercises shall guide the reader through the text.

A First Course in Integral Equations

Second Edition

This second edition integrates the newly developed methods with classical techniques to give both modern and powerful approaches for solving integral equations. It provides a comprehensive treatment of linear and nonlinear Fredholm and Volterra integral equations of the first and second kinds. The materials are presented in an accessible and straightforward manner to readers, particularly those from non-mathematics backgrounds. Numerous well-explained applications and examples as well as practical exercises are presented to guide readers through the text. Selected applications from mathematics, science and engineering are investigated by using the newly developed methods. This volume consists of nine chapters, pedagogically organized, with six chapters devoted to linear integral equations, two chapters on nonlinear integral equations, and the last chapter on applications. It is intended for scholars and researchers, and can be used for advanced undergraduate and graduate students in applied mathematics, science and engineering. Click here for solutions manual.

This second edition integrates the newly developed methods with classical techniques to give both modern and powerful approaches for solving integral equations.

Ignorance Is Contagious!

True stories and Life Lessons of Foolishness, Stupidity, and Buffoonery

“This book is a page turner from beginning to end. The stories are both relatable, and hysterical, with dead on advice that make you go hmmmm” - Karim Orange, Eco activist/ Huffington Post Blogger “Abdul Majid’s Ignorance is Contagious is vividly alive with great stories, plenty of laughs, and hard-won life lessons. Young people will learn from it, and so will their parents.” -Ronald K. Fried, author of “My Father’s Fighter” “Sometimes wisdom comes from the most unlikely and humorous of places” —Amy Linden, Arts Critic “Like its author, Ignorance is Contagious is profane, funny and heartfelt. This is a memorable collection of modern-day fables that are real and shed light on how we live today.” —Rodney Stringfellow, Screenwriter and Educator “ABDUL MAJID is able to capture the spoken word in writing. His writing style is natural with flow and above all his wit is wise.” —Emily Cohen, Television Producer “Fresh, innovative, enlightening, and (what I love most) comical . . . . Ignorance Is Contagious, offers alternative solutions for those situations when keeping it real goes wrong” —Pretty Ricki Fontaine, Comedian

This is a memorable collection of modern-day fables that are real and shed light on how we live today.” —Rodney Stringfellow, Screenwriter and Educator “ABDUL MAJID is able to capture the spoken word in writing.

Linear and Nonlinear Integral Equations

Methods and Applications

Linear and Nonlinear Integral Equations: Methods and Applications is a self-contained book divided into two parts. Part I offers a comprehensive and systematic treatment of linear integral equations of the first and second kinds. The text brings together newly developed methods to reinforce and complement the existing procedures for solving linear integral equations. The Volterra integral and integro-differential equations, the Fredholm integral and integro-differential equations, the Volterra-Fredholm integral equations, singular and weakly singular integral equations, and systems of these equations, are handled in this part by using many different computational schemes. Selected worked-through examples and exercises will guide readers through the text. Part II provides an extensive exposition on the nonlinear integral equations and their varied applications, presenting in an accessible manner a systematic treatment of ill-posed Fredholm problems, bifurcation points, and singular points. Selected applications are also investigated by using the powerful Padé approximants. This book is intended for scholars and researchers in the fields of physics, applied mathematics and engineering. It can also be used as a text for advanced undergraduate and graduate students in applied mathematics, science and engineering, and related fields. Dr. Abdul-Majid Wazwaz is a Professor of Mathematics at Saint Xavier University in Chicago, Illinois, USA.

Selected applications are also investigated by using the powerful Padé approximants. This book is intended for scholars and researchers in the fields of physics, applied mathematics and engineering.