{ "item_title" : "Introduction to Ordinary Differential Equations with Scientific Applications", "item_author" : [" C. L. Loi "], "item_description" : "A unique, inspiring perspective on undergraduate-level ordinary differential equations (ODEs), written by an author who is well-versed in cross-disciplinary domain knowledge, fosters a deeper understanding of the subject with clear motivation and rigor, as well as the intimate connections between theory and real-world applications. This book will be invaluable to students of Mathematics, Engineering, and Sciences, particularly for those eager to build a strong foundation for future encounters.Prerequisites: It is expected that the readers are comfortable with Multivariable Calculus (including, but not limited to, integration by parts and partial derivatives). For US students, this will be equivalent to Calc III.Comprehensive Coverage: Apart from the standard syllabus, this book also explores less-taught areas like the hypergeometric equation, Sturm-Liouville theory, and special functions, while providing a brief, solid overview of partial differential equations (PDEs).Methodological Presentation of Definitions, Theorems, and Examples: All essential ideas and definitions are made clear at the outset. Detailed arguments are presented for theorems, which build up gradually throughout the text. Examples are fully worked out, with steps written out explicitly to ensure that readers will understand.Connections to a Wide Range of Applications: These include, but are not limited to: radioactive decay, logistic population model, spring-mass systems, electric circuits, Schr dinger equation, and vibrating membranes. Some of them also come from the author's Earth Sciences specialties, like equatorial waves. All these applications are explained in conjunction with theory.Well-made Figures: There are many professional-quality TikZ figures to illustrate concepts, like solution curves.Plenty of Challenging, Answered Exercises: A total of 157 carefully designed exercises to test understanding, accompanied by solutions. This will serve as a very useful question bank for instructors.", "item_img_path" : "https://covers1.booksamillion.com/covers/bam/4/99/150/802/4991508029_b.jpg", "price_data" : { "retail_price" : "74.99", "online_price" : "74.99", "our_price" : "74.99", "club_price" : "74.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

Overview

Details