Essential Ordinary Differential Equations
nov. del 2022 · Springer Nature
Llibre electrònic
283
Pàgines
Sobre aquest llibre
This textbook offers an engaging account of the theory of ordinary differential equations intended for advanced undergraduate students of mathematics. Informed by the author’s extensive teaching experience, the book presents a series of carefully selected topics that, taken together, cover an essential body of knowledge in the field. Each topic is treated rigorously and in depth.
The book begins with a thorough treatment of linear differential equations, including general boundary conditions and Green’s functions. The next chapters cover separable equations and other problems solvable by quadratures, series solutions of linear equations and matrix exponentials, culminating in Sturm–Liouville theory, an indispensable tool for partial differential equations and mathematical physics. The theoretical underpinnings of the material, namely, the existence and uniqueness of solutions and dependence on initial values, are treated at length. A noteworthy feature ofthis book is the inclusion of project sections, which go beyond the main text by introducing important further topics, guiding the student by alternating exercises and explanations. Designed to serve as the basis for a course for upper undergraduate students, the prerequisites for this book are a rigorous grounding in analysis (real and complex), multivariate calculus and linear algebra. Some familiarity with metric spaces is also helpful. The numerous exercises of the text provide ample opportunities for practice, and the aforementioned projects can be used for guided study. Some exercises have hints to help make the book suitable for independent study.fsfsfsscs
The book begins with a thorough treatment of linear differential equations, including general boundary conditions and Green’s functions. The next chapters cover separable equations and other problems solvable by quadratures, series solutions of linear equations and matrix exponentials, culminating in Sturm–Liouville theory, an indispensable tool for partial differential equations and mathematical physics. The theoretical underpinnings of the material, namely, the existence and uniqueness of solutions and dependence on initial values, are treated at length. A noteworthy feature ofthis book is the inclusion of project sections, which go beyond the main text by introducing important further topics, guiding the student by alternating exercises and explanations. Designed to serve as the basis for a course for upper undergraduate students, the prerequisites for this book are a rigorous grounding in analysis (real and complex), multivariate calculus and linear algebra. Some familiarity with metric spaces is also helpful. The numerous exercises of the text provide ample opportunities for practice, and the aforementioned projects can be used for guided study. Some exercises have hints to help make the book suitable for independent study.fsfsfsscs
Sobre l'autor
In a long career as a university teacher Robert Magnus has taught most subjects in the area of analysis, including ordinary differential equations both at undergraduate and postgraduate level. He has published papers in areas allied to analysis, including non-linear partial differential equations.
Puntua aquest llibre electrònic
Dona'ns la teva opinió.
Informació de lectura
Telèfons intel·ligents i tauletes
Instal·la l'aplicació Google Play Llibres per a Android i per a iPad i iPhone. Aquesta aplicació se sincronitza automàticament amb el compte i et permet llegir llibres en línia o sense connexió a qualsevol lloc.
Ordinadors portàtils i ordinadors de taula
Pots escoltar els audiollibres que has comprat a Google Play amb el navegador web de l'ordinador.
Lectors de llibres electrònics i altres dispositius
Per llegir en dispositius de tinta electrònica, com ara lectors de llibres electrònics Kobo, hauràs de baixar un fitxer i transferir-lo al dispositiu. Segueix les instruccions detallades del Centre d'ajuda per transferir els fitxers a lectors de llibres electrònics compatibles.
