Theory,Technique and Practice with Boundary Value Problems
Focusing on ordinary differential equations, this book combines classical concepts with modern techniques in dynamical systems. It aims to enhance undergraduate students' mathematical and analytical skills through a stimulating exploration of modeling and computing. The text emphasizes practical applications, preparing students for advanced studies in mathematics and related fields.
Aimed at a broader audience, this new edition enhances accessibility for students lacking a strong foundation in real analysis. It includes chapters on essential background topics such as set theory, logic, and methods of proof, ensuring readers are well-prepared. Additionally, the more advanced concepts are presented with greater clarity, facilitating a smoother learning experience for all students.
The book features an enhanced Preface designed to guide instructors in tailoring their courses effectively. It includes clear prerequisites and a structured roadmap to facilitate course development. Additionally, sample syllabi are provided to assist in planning and organization, making it a valuable resource for educators.
The latest edition features a reorganization that enhances usability and accessibility, placing frequently taught topics at the forefront. Major applications are now grouped into separate chapters, making this version the most user-friendly and adaptable compared to previous editions.
Big animals sleep, just like you! But where? And how? Let's take a look at what some big creatures do when you are asleep and the day is through. We're used to seeing animals during the day, but where and how do they sleep at night? From gorillas to elephants and ostriches to rhinos, plus anacondas and hippos and more, this rhyming book shows kids where big animals bed down in the wild.
Animals sleep, just like you! But where? And how? Let's take a look at what creatures do / when you are asleep and the day is through . . . We're used to seeing animals during the day, but where and how do they sleep at night? From butterflies to bees and frogs to fish, from birds to horses and squirrels to bunnies, plus cats and dogs, this sweet book in rhyme shows kids where animals bed down while kids are also asleep. Following a brother and sister on a farm where all the animals can be found, this book teaches and delights!
A bewitching tale showcasing the timeless lesson that a good deed always triumphs over a bad one, even at Miss Mildred Mildew's School of Magic! Whatever you chant, Whatever you brew, Sooner or later Comes back to you! Alice and Greta attended the same school of magic, but they each have their own ideas about how to put their skills to the best use. Alice spends her days waving her wand to cast splendid spells. Greta only uses hers to stir up trouble. When their wands and witching styles clash, it turns out Greta should have paid more attention to those early magic lessons. An enchanting tale of two very different fates.
While we may expect to live longer, many wonder if their brains will keep up with their bodies. This book looks at typical functions and declines of an aging brain, the signs and symptoms of problems, the available treatments, the financial responsibilities, and the factors that determine what kinds of care people might need as they age.
Focusing on the intersection of complex and harmonic analysis, this book provides a comprehensive introduction tailored for graduate students familiar with basic concepts in these fields. It is largely self-contained, starting from first principles and featuring numerous examples and detailed explanations. Each chapter includes a prologue, contextual capsules, and exercises to reinforce understanding. The book also offers an extensive bibliography and geometric illustrations, making it a valuable resource for mathematicians and researchers across various applied disciplines.