Lawrence Perko

Differential Equations and Dynamical Systems

• Gebundenes Buch

Produktbeschreibung

This textbook, ideal for students and lecturers alike, is a systematic study of the qualitative and geometric theory of nonlinear differential equations and dynamical systems. It includes a thorough treatment of linear systems.

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Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the clas sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Math ematical Sciences (AMS) series,which will focus on advanced textbooks and research level monographs.

Produktdetails

• Texts in Applied Mathematics 7
• Verlag: Springer / Springer New York / Springer, Berlin
• Artikelnr. des Verlages: 10777861, 978-0-387-95116-4
• 3. Aufl.
• Seitenzahl: 576
• Erscheinungstermin: 28. Dezember 2000
• Englisch
• Abmessung: 241mm x 160mm x 37mm
• Gewicht: 1021g
• ISBN-13: 9780387951164
• ISBN-10: 0387951164
• Artikelnr.: 04214162

Autorenporträt

Lawrence Perko, Northern Arizona University, Flagstaff, AZ, USA

Inhaltsangabe

Series Preface.- Preface to the Third Edition.- Linear Systems.- Nonlinear Systems: Local Theory.- Nonlinear Systems: Global Theory.- Nonlinear Systems: Bifurcation Theory.- References.- Additional References.- Index.

Rezensionen

Rezensions from the first edition: "The text succeeds admirably. Examples abound, figures are used to advantage, and a reasonable balance is maintained between what is proved in detail and what is asserted with supporting references. Each section closes with a set of problems, many of which are quite interesting and round out the text material - this book is to be highly recommended both for use as a text, and for professionals in other fields wanting to gain insight into modern aspects of the geometric theory of continuous (i.e., not discrete) dynamical systems." MATHEMATICAL REVIEWS

Reviews from the first edition: "...The text succeeds admiraby ... Examples abound, figures are used to advantage, and a reasonable balance is maintained between what is proved in detail and what is asserted with supporting references ... Each section closes with a set of problems, many of which are quite interesting and round out the text material ... this book is to be highly recommended both for use as a text, and for professionals in other fields wanting to gain insight into modern aspects of the geometric theory of continuous (i.e., not discrete) dynamical systems." MATHEMATICAL REVIEWS