In this second book of what will be a four-volume series, the authors present, in a mathematically rigorous way, the essential foundations of both the theory and practice of algorithms, approximation, and optimization—essential topics in modern applied and computational mathematics. This material is the introductory framework upon which algorithm analysis, optimization, probability, statistics, machine learning, and control theory are built. This text gives a unified treatment of several topics that do not usually appear together: the theory and analysis of algorithms for mathematicians and data science students; probability and its applications; the theory and applications of approximation, including Fourier series, wavelets, and polynomial approximation; and the theory and practice of optimization, including dynamic optimization. When used in concert with the free supplemental lab materials, Foundations of Applied Mathematics, Volume 2: Algorithms, Approximation, Optimization teaches not only the theory but also the computational practice of modern mathematical methods. Exercises and examples build upon each other in a way that continually reinforces previous ideas, allowing students to retain learned concepts while achieving a greater depth. The mathematically rigorous lab content guides students to technical proficiency and answers the age-old question “When am I going to use this?” This textbook is geared toward advanced undergraduate and beginning graduate students in mathematics, data science, and machine learning.
This book provides the essential foundations of both linear and nonlinear analysis necessary for understanding and working in twenty-first century applied and computational mathematics. In addition to the standard topics, this text includes several key concepts of modern applied mathematical analysis that should be, but are not typically, included in advanced undergraduate and beginning graduate mathematics curricula. This material is the introductory foundation upon which algorithm analysis, optimization, probability, statistics, differential equations, machine learning, and control theory are built. When used in concert with the free supplemental lab materials, this text teaches students both the theory and the computational practice of modern mathematical analysis. Foundations of Applied Mathematics, Volume 1: Mathematical Analysis includes several key topics not usually treated in courses at this level, such as uniform contraction mappings, the continuous linear extension theorem, Daniell?Lebesgue integration, resolvents, spectral resolution theory, and pseudospectra. Ideas are developed in a mathematically rigorous way and students are provided with powerful tools and beautiful ideas that yield a number of nice proofs, all of which contribute to a deep understanding of advanced analysis and linear algebra. Carefully thought out exercises and examples are built on each other to reinforce and retain concepts and ideas and to achieve greater depth. Associated lab materials are available that expose students to applications and numerical computation and reinforce the theoretical ideas taught in the text. The text and labs combine to make students technically proficient and to answer the age-old question, "When am I going to use this?
Of all the theatrical genres most prized by the Victorians, pantomime is the only one to have survived continuously into the twenty-first century. It remains as true today as it was in the 1830s, that a visit to the pantomime constitutes the first theatrical experience of most children and now, as then, a successful pantomime season is the key to the financial health of most theatres. Everyone went to the pantomime, from Queen Victoria and the royal family to the humblest of her subjects. It appealed equally to West End and East End, to London and the provinces, to both sexes and all ages. Many Victorian luminaries were devotees of the pantomime, notably among them John Ruskin, Charles Dickens, Lewis Carroll and W.E. Gladstone. In this vivid and evocative account of the Victorian pantomime, Jeffrey Richards examines the potent combination of slapstick, spectacle and subversion that ensured the enduring popularity of the form. The secret of its success, he argues, was its continual evolution. It acted as an accurate cultural barometer of its times, directly reflecting current attitudes, beliefs and preoccupations, and it kept up a flow of instantly recognisable topical allusions to political rows, fashion fads, technological triumphs, wars and revolutions, and society scandals. Richards assesses throughout the contribution of writers, producers, designers and stars to the success of the pantomime in its golden age. This book is a treat as rich and appetizing as turkey, mince pies and plum pudding.
Harwood-Nuss' Clinical Practice of Emergency Medicine presents a clinically focused and evidence-based summary of emergency medicine. Chapters are templated to include the clinical presentation, differential diagnosis, evaluation, management and disposition, with highlighted critical interventions and common pitfalls. Management and disposition are especially critical in the emergency department, and their emphasis is unique to Harwood-Nuss. Often, a diagnosis can not be made, given the constraints of an ED evaluation; thus, effecive management of the patient, with or without a confirmed diagnosis, is key. Also distinct to Harwood-Nuss is the High-Risk Chief Complaints section, which covers the key presentations in the ED: chest pain, abdominal pain, shortness of breath, altered mental status. When patients present in the ED, they don't present with a known diagnosis; this chapter walks the physician through possible differential diagnoses and the evaluation and management of these patients so that they can be stabilized and treated quickly and effectively.
This issue of Oral and Maxillofacial Surgery Clinics of North America focuses on Patient Safety, and is edited by Drs. David Todd and Jeffrey D. Bennett. Articles will include: General concepts of patient safety for the oral surgeon; Proper management of medications to limit errors; Preventing wrong site surgery for the oral and maxillofacial surgeon; Fire safety for the oral surgeon and staff; Preoperative preparation and planning of the oral and maxillofacial surgery patient; Team, staff, and simulation training; Obstructive sleep apnea and obesity considerations for the oral surgeon; Monitoring for the oral and maxillofacial surgeon; Discharge criteria and how it is impacted by patient and procedure; The malpractice system versus patient safety; Equipment safety, maintenance and inspection; Reporting systems and surgery registries for the oral surgeon, and more!
This book provides the essential foundations of both linear and nonlinear analysis necessary for understanding and working in twenty-first century applied and computational mathematics. In addition to the standard topics, this text includes several key concepts of modern applied mathematical analysis that should be, but are not typically, included in advanced undergraduate and beginning graduate mathematics curricula. This material is the introductory foundation upon which algorithm analysis, optimization, probability, statistics, differential equations, machine learning, and control theory are built. When used in concert with the free supplemental lab materials, this text teaches students both the theory and the computational practice of modern mathematical analysis. Foundations of Applied Mathematics, Volume 1: Mathematical Analysis includes several key topics not usually treated in courses at this level, such as uniform contraction mappings, the continuous linear extension theorem, Daniell?Lebesgue integration, resolvents, spectral resolution theory, and pseudospectra. Ideas are developed in a mathematically rigorous way and students are provided with powerful tools and beautiful ideas that yield a number of nice proofs, all of which contribute to a deep understanding of advanced analysis and linear algebra. Carefully thought out exercises and examples are built on each other to reinforce and retain concepts and ideas and to achieve greater depth. Associated lab materials are available that expose students to applications and numerical computation and reinforce the theoretical ideas taught in the text. The text and labs combine to make students technically proficient and to answer the age-old question, "When am I going to use this?
In this second book of what will be a four-volume series, the authors present, in a mathematically rigorous way, the essential foundations of both the theory and practice of algorithms, approximation, and optimization—essential topics in modern applied and computational mathematics. This material is the introductory framework upon which algorithm analysis, optimization, probability, statistics, machine learning, and control theory are built. This text gives a unified treatment of several topics that do not usually appear together: the theory and analysis of algorithms for mathematicians and data science students; probability and its applications; the theory and applications of approximation, including Fourier series, wavelets, and polynomial approximation; and the theory and practice of optimization, including dynamic optimization. When used in concert with the free supplemental lab materials, Foundations of Applied Mathematics, Volume 2: Algorithms, Approximation, Optimization teaches not only the theory but also the computational practice of modern mathematical methods. Exercises and examples build upon each other in a way that continually reinforces previous ideas, allowing students to retain learned concepts while achieving a greater depth. The mathematically rigorous lab content guides students to technical proficiency and answers the age-old question “When am I going to use this?” This textbook is geared toward advanced undergraduate and beginning graduate students in mathematics, data science, and machine learning.
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