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The book contains seven survey papers about ordinary differential equations.The common feature of all papers consists in the fact that nonlinear equations are focused on. This reflects the situation in modern mathematical modelling - nonlinear mathematical models are more realistic and describe the real world problems more accurately. The implications are that new methods and approaches have to be looked for, developed and adopted in order to understand and solve nonlinear ordinary differential equations.The purpose of this volume is to inform the mathematical community and als
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The transition from studying calculus in schools to studying mathematical analysis at university is notoriously difficult. In this second edition of Numbers and Functions, Dr Burn invites the student reader to tackle each of the key concepts in turn, progressing from experience through a structured sequence of several hundred problems to concepts, definitions and proofs of classical real analysis. The sequence of problems, which all have solutions supplied, draws students into constructing definitions and theorems for themselves. This natural development is informed and complemented by historical insight. The novel approach to rigorous analysis offered here is designed to enable students to grow in confidence and skill and thus overcome the traditional difficulties.
Mathematical analysis. --- Mathematics --- 517.1 Mathematical analysis --- Mathematical analysis
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This is a course in real analysis directed at advanced undergraduates and beginning graduate students in mathematics and related fields. Presupposing only a modest background in real analysis or advanced calculus, the book offers something to specialists and non-specialists. The course consists of three major topics: metric and normed linear spaces, function spaces, and Lebesgue measure and integration on the line. In an informal style, the author gives motivation and overview of new ideas, while supplying full details and proofs. He includes historical commentary, recommends articles for specialists and non-specialists, and provides exercises and suggestions for further study. This text for a first graduate course in real analysis was written to accommodate the heterogeneous audiences found at the masters level: students interested in pure and applied mathematics, statistics, education, engineering, and economics.
Mathematical analysis. --- 517.1 Mathematical analysis --- Mathematical analysis --- 517.1 --- 517.51 --- integralen --- Lebesgue --- wiskunde --- 517.51 Functions of a real variable. Real functions --- Functions of a real variable. Real functions --- analyse
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Fluid mechanics --- Turbulence --- Turbulence. --- 532.517.4 --- #KVIV:BB --- Turbulent flow --- 532.517.4 Turbulent flow --- Flow, Turbulent --- Fluid dynamics
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Mathematics --- 517.938 --- 517.97 --- 517.98 --- 519.72 --- 519.72 Information theory: mathematical aspects --- Information theory: mathematical aspects --- 517.98 Functional analysis and operator theory --- Functional analysis and operator theory --- 517.97 Calculus of variations. Mathematical theory of control --- Calculus of variations. Mathematical theory of control --- 517.938 Theory of dynamic systems --- Theory of dynamic systems --- Differential geometry. Global analysis
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