Differential and Integral Calculus, Volume 1

Volume 2 of the classic advanced calculus text Richard Courant's Differential and Integral Calculus is considered an essential text for those working toward a career in physics or other applied math. Volume 2 covers the more advanced concepts of analytical geometry and vector analysis, including multivariable functions, multiple integrals, integration over regions, and much more, with extensive appendices featuring additional instruction and author annotations. The included supplement contains formula and theorem lists, examples, and answers to in-text problems for quick reference.

Differential protection is a fast and selective method of protection against short-circuits. It is applied in many variants for electrical machines, trans-formers, busbars, and electric lines. Initially this book covers the theory and fundamentals of analog and numerical differential protection. Current transformers are treated in detail including transient behaviour, impact on protection performance, and practical dimensioning. An extended chapter is dedicated to signal transmission for line protection, in particular, modern digital communication and GPS timing. The emphasis is then placed on the different variants of differential protection and their practical application illustrated by concrete examples. This is completed by recommendations for commissioning, testing and maintenance. Finally the design and management of modern differential protection is explained by means of the latest Siemens SIPROTEC relay series. As a textbook and standard work in one, this book covers all topics, which have to be paid attention to for planning, designing, configuring and applying differential protection systems. The book is aimed at students and engineers who wish to familiarise themselves with the subject of differential protection, as well as the experienced user entering the area of numerical differential protection. Furthermore, it serves as a reference guide for solving application problems. For the new edition all contents have been revised, extended and updated to the latest state-of-the-art of protective relaying.

Mathematical finance requires the use of advanced mathematical techniques drawn from the theory of probability, stochastic processes and stochastic differential equations. These areas are generally introduced and developed at an abstract level, making it problematic when applying these techniques to practical issues in finance. Problems and Solutions in Mathematical Finance Volume I: Stochastic Calculus is the first of a four-volume set of books focusing on problems and solutions in mathematical finance. This volume introduces the reader to the basic stochastic calculus concepts required for the study of this important subject, providing a large number of worked examples which enable the reader to build the necessary foundation for more practical orientated problems in the later volumes. Through this application and by working through the numerous examples, the reader will properly understand and appreciate the fundamentals that underpin mathematical finance. Written mainly for students, industry practitioners and those involved in teaching in this field of study, Stochastic Calculus provides a valuable reference book to complement one’s further understanding of mathematical finance.

First course calculus texts have traditionally been either “engineering/science-oriented” with too little rigor, or have thrown students in the deep end with a rigorous analysis text. The How and Why of One Variable Calculus closes this gap in providing a rigorous treatment that takes an original and valuable approach between calculus and analysis. Logically organized and also very clear and user-friendly, it covers 6 main topics; real numbers, sequences, continuity, differentiation, integration, and series. It is primarily concerned with developing an understanding of the tools of calculus. The author presents numerous examples and exercises that illustrate how the techniques of calculus have universal application. The How and Why of One Variable Calculus presents an excellent text for a first course in calculus for students in the mathematical sciences, statistics and analytics, as well as a text for a bridge course between single and multi-variable calculus as well as between single variable calculus and upper level theory courses for math majors.

This classic work is now available in an unabridged paperback edition. Stoker makes this fertile branch of mathematics accessible to the nonspecialist by the use of three different notations: vector algebra and calculus, tensor calculus, and the notation devised by Cartan, which employs invariant differential forms as elements in an algebra due to Grassman, combined with an operation called exterior differentiation. Assumed are a passing acquaintance with linear algebra and the basic elements of analysis.

This classic work is now available in an unabridged paperback edition. Hochstatdt's concise treatment of integral equations represents the best compromise between the detailed classical approach and the faster functional analytic approach, while developing the most desirable features of each. The seven chapters present an introduction to integral equations, elementary techniques, the theory of compact operators, applications to boundary value problems in more than dimension, a complete treatment of numerous transform techniques, a development of the classical Fredholm technique, and application of the Schauder fixed point theorem to nonlinear equations.

A solutions manual to accompany Fundamentals of Calculus Fundamentals of Calculus illustrates the elements of finite calculus with the varied formulas for power, quotient, and product rules that correlate markedly with traditional calculus. Featuring calculus as the “mathematics of change,” each chapter concludes with a historical notes section. Fundamentals of Calculus chapter coverage includes: Linear Equations and Functions Integral Calculus The Derivative Integrations Techniques Using the Derivative Functions of Several Variables Exponents and Logarithms Series and Summations Differentiation Techniques Applications to Probability

Рюкзак-сумка Pinguin Integral 30 - идеально организован для использования в городе. Прямоугольная форма отделений для переноски документаций. Специальный мягкий карман для ноутбука до 15". Фронтальный карман с карабином для клучей. Карман для планшета и тетрадей. Сетчатый карман для мелочей на молнии. Отделение для бутылки с водой. Рюкак легко трансформируется в сумку. Для этого предусмотрена боковая ручка. Также можно спрятать одну лямку и носить на одно плечо. Характеристики: Тип - унисекс Объем - 30 л. Высота - 52 см Ширина - 31 см Толщина - 24 см Вес - 0.92 кг Материал - Нейлон 6.6 Пряжки - Nifko Молния - YKK

Рюкзак-сумка Pinguin Integral 30 - идеально организован для использования в городе. Прямоугольная форма отделений для переноски документаций. Специальный мягкий карман для ноутбука до 15". Фронтальный карман с карабином для клучей. Карман для планшета и тетрадей. Сетчатый карман для мелочей на молнии. Отделение для бутылки с водой. Рюкак легко трансформируется в сумку. Для этого предусмотрена боковая ручка. Также можно спрятать одну лямку и носить на одно плечо. Характеристики: Тип - унисекс Объем - 30 л. Высота - 52 см Ширина - 31 см Толщина - 24 см Вес - 0.92 кг Материал - Нейлон 6.6 Пряжки - Nifko Молния - YKK

A practical guide to the diagnosis and treatment of acute symptoms and conditions, the ABC of Emergency Differential Diagnosis provides a step-by-step guide to emergency differential diagnosis for non-specialists in a hospital or primary care setting. This new title in the ABC series covers the assessment, diagnosis, treatment, and management of the most common symptoms with 'walk through' diagnosis, clear learning outcomes, and easy to find treatment options. Using the familiar problem-based teaching approach for rapid assimilation of information, case studies in each chapter allow the reader to be sure that they have synthesised the information given and can apply it to clinical cases.