An Introduction to Differential Equations: Deterministic Modeling, Methods and Analysis - Couverture rigide

Ladde, Anilchandra G; Ladde, Gangaram S

 
9789814368896: An Introduction to Differential Equations: Deterministic Modeling, Methods and Analysis

Synopsis

This is a twenty-first century book designed to meet the challenges of understanding and solving interdisciplinary problems. The book creatively incorporates "cutting-edge" research ideas and techniques at the undergraduate level. The book also is a unique research resource undergraduate/graduate students and interdisciplinary researchers. It emphasizes and exhibits the importance of conceptual understandings and its symbiotic relationship in the problem solving process. The book is proactive in preparing for the modeling of dynamic processes in various disciplines. It introduces a "break-down-the problem" type of approach in a way that creates "fun" and "excitement". The book presents many learning tools like "step-by-step procedures (critical thinking)", the concept of "math" being a language, applied examples from diverse fields, frequent recaps, flowcharts and exercises. Uniquely, this book introduces an innovative and unified method of solving nonlinear scalar differential equations. This is called the "Energy/Lyapunov Function Method". This is accomplished by adequately covering the standard methods with creativity beyond the entry level differential equations course.

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Présentation de l'éditeur

This is a twenty-first century book designed to meet the challenges of understanding and solving interdisciplinary problems. The book creatively incorporates "cutting-edge" research ideas and techniques at the undergraduate level. The book also is a unique research resource undergraduate/graduate students and interdisciplinary researchers. It emphasizes and exhibits the importance of conceptual understandings and its symbiotic relationship in the problem solving process. The book is proactive in preparing for the modeling of dynamic processes in various disciplines. It introduces a "break-down-the problem" type of approach in a way that creates "fun" and "excitement". The book presents many learning tools like "step-by-step procedures (critical thinking)", the concept of "math" being a language, applied examples from diverse fields, frequent recaps, flowcharts and exercises. Uniquely, this book introduces an innovative and unified method of solving nonlinear scalar differential equations. This is called the "Energy/Lyapunov Function Method". This is accomplished by adequately covering the standard methods with creativity beyond the entry level differential equations course.

Revue de presse

A significant number of exercises and applied examples from diverse fields are included. Each chapter starts with good motivation and elementary ideas, and in the end one learns a lot from the book. It is a good book indeed for undergraduates and even interdisciplinary researchers. --Mathematical Reviews

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9789814368902: Introduction To Differential Equations, An: Deterministic Modeling, Methods And Analysis (Volume 1)

Edition présentée

ISBN 10 :  9814368903 ISBN 13 :  9789814368902
Editeur : Wspc, 2012
Couverture souple