The typical introductory real analysis text starts with an analysis of the …
The typical introductory real analysis text starts with an analysis of the real number system and uses this to develop the definition of a limit, which is then used as a foundation for the definitions encountered thereafter. While this is certainly a reasonable approach from a logical point of view, it is not how the subject evolved, nor is it necessarily the best way to introduce students to the rigorous but highly non-intuitive definitions and proofs found in analysis.
This book proposes that an effective way to motivate these definitions is to tell one of the stories (there are many) of the historical development of the subject, from its intuitive beginnings to modern rigor. The definitions and techniques are motivated by the actual difficulties encountered by the intuitive approach and are presented in their historical context. However, this is not a history of analysis book. It is an introductory analysis textbook, presented through the lens of history. As such, it does not simply insert historical snippets to supplement the material. The history is an integral part of the topic, and students are asked to solve problems that occur as they arise in their historical context.
This book covers the major topics typically addressed in an introductory undergraduate course in real analysis in their historical order. Written with the student in mind, the book provides guidance for transforming an intuitive understanding into rigorous mathematical arguments. For example, in addition to more traditional problems, major theorems are often stated and a proof is outlined. The student is then asked to fill in the missing details as a homework problem.
Law 101: Fundamentals of Law, New York and Federal Law is an …
Law 101: Fundamentals of Law, New York and Federal Law is an attempt to provide basic legal concepts of the law to undergraduates in easily understood plain English. Each chapter covers a different area of the law. Areas of law were selected based on what legal matters undergraduates may typically encounter in their daily lives. The textbook is introductory by nature and not meant as a legal treatise.
This casebook, now in its second edition, is a collaboration of over …
This casebook, now in its second edition, is a collaboration of over 90 individuals with expertise and training in public health pharmacy. A total of 54 chapters are presented, covering a broad array of topics relevant to pharmacy applications of public health. These topics include, but are not limited to, cross-cultural care, health literacy and disparities, infectious disease, health promotion and disease prevention, medication safety, structural racism, advocacy/policy analysis, chronic disease, women’s health, rural health, travel medicine and more. The book is designed to allow educators/students to choose chapters of interest as they feel suited, as each chapter is independent from the others. Each chapter contains learning objectives and an introduction to the topic, followed by a case and questions. The chapter closes with commentary from the authors and patient-oriented considerations for the topic at hand.
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