Real analysis mathematical number (32 Ergebnisse)

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book presents four topics related to undergraduate courses, typically not covered in standard lectures.Written in a clear and careful style, these four 'pearls' aim at complementing and deepening the knowledge of students and instructors by presenting a variety of techniques and useful methods.The first chapter provides a detailed discussion of real numbers, the foundation of any mathematical construction.Chapter two of the book is dedicated to the study of sequences defined by recurrence relations.The third chapter explores certain problems in asymptotic analysis, and the final chapter of the book discusses mathematical results related to 'Integration in Finite Terms'. Each chapter of the book is accompanied by its respective bibliography.The book is intended for readers with a level of maturity typically attained after completing a bachelor's degree in mathematics.…

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Taschenbuch. Zustand: Neu. Selected Topics in Mathematical Analysis | Real Number System - Recurrences - Asymptotic Analysis - Integration in Finite Terms | Liviu C. Florescu | Taschenbuch | Birkhäuser Advanced Texts Basler Lehrbücher | x | Englisch | 2025 | Birkhäuser | EAN 9783031677861 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.…

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Taschenbuch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - High Quality Content by WIKIPEDIA articles! In mathematics, given a subset S of a partially ordered set T, the supremum (sup) of S, if it exists, is the least element of T that is greater than or equal to each element of S. Consequently, the supremum is also referred to as the least upper bound, lub or LUB. If the supremum exists, it may or may not belong to S. If the supremum exists, it is unique. Suprema are often considered for subsets of real numbers, rational numbers, or any other well-known mathematical structure for which it is immediately clear what it means for an element to be 'greater-than-or-equal-to' another element. The definition generalizes easily to the more abstract setting of order theory, where one considers arbitrary partially ordered sets.…

Taschenbuch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Real analysis, or theory of functions of a real variable is a branch of mathematical analysis dealing with the set of real numbers. In particular, it deals with the analytic properties of real functions and sequences, including convergence and limits of sequences of real numbers, the calculus of the real numbers, and continuity, smoothness and related properties of real-valued functions.Real analysis is an area of analysis, which studies concepts such as sequences and their limits, continuity, differentiation, integration and sequences of functions. By definition, real analysis focuses on the real numbers, often including positive or negative infinity.…

Taschenbuch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - High Quality Content by WIKIPEDIA articles! In mathematical analysis, semi-continuity (or semicontinuity) is a property of extended real-valued functions that is weaker than continuity. An extended real-valued function f is upper (lower) semi-continuous at a point x0 if, roughly speaking, the function values for arguments near x0 are either close to f(x0) or less than (greater than) f(x0).Consider the function f, piecewise defined by f(x) = 1 for x 0 and f(x) = 1 for x 0. This function is upper semi-continuous at x0 = 0, but not lower semi-continuous.A function is continuous at x0 if and only if it is upper and lower semi-continuous there. Therefore, semi-continuity can be used to prove continuity. If f and g are two real-valued functions which are both upper semi-continuous at x0, then so is f + g. If both functions are non-negative, then the product function fg will also be upper semi-continuous at x0. Multiplying a positive upper semi-continuous function with a negative number turns it into a lower semi-continuous function.…

Taschenbuch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - High Quality Content by WIKIPEDIA articles! n mathematical analysis, the uniform norm assigns to real- or complex-valued bounded functions f defined on a set S the nonnegative number f _infty= f _{infty,S}=supleft{,left f(x)right :xin S,right}. This norm is also called the supremum norm, the Chebyshev norm, or the infinity norm. If we allow unbounded functions, this formula does not yield a norm or metric in a strict sense, although the obtained so-called extended metric still allows one to define a topology on the function space in question. If f is a continuous function on a closed interval, or more generally a compact set, then it is bounded and the supremum in the above definition is attained by the Weierstrass extreme value theorem, so we can replace the supremum by the maximum. In this case, the norm is also called the maximum norm.…

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Taschenbuch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - High Quality Content by WIKIPEDIA articles! In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side. In Euclidean geometry and some other geometries this is a theorem. In the Euclidean case, in both the less than or equal to and greater than or equal to statements, equality occurs only if the triangle has a 180° angle and two 0° angles, as shown in the bottom example in the image to the right. The inequality can be viewed intuitively in either R2 or R3. The figure at the right shows two examples. The triangle inequality is a theorem in spaces such as the real numbers, all Euclidean spaces, the Lp spaces (p 1), and any inner product space. …

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Buch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - This book presents four topics related to undergraduate courses, typically not covered in standard lectures.Written in a clear and careful style, these four 'pearls' aim at complementing and deepening the knowledge of students and instructors by presenting a variety of techniques and useful methods.The first chapter provides a detailed discussion of real numbers, the foundation of any mathematical construction.Chapter two of the book is dedicated to the study of sequences defined by recurrence relations.The third chapter explores certain problems in asymptotic analysis, and the final chapter of the book discusses mathematical results related to 'Integration in Finite Terms'. Each chapter of the book is accompanied by its respective bibliography.The book is intended for readers with a level of maturity typically attained after completing a bachelor's degree in mathematics.…

Taschenbuch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online.In measure theory(a branch of mathematical analysis), a property holds almost everywhereif the set of elements for which the property does not hold is a nullset, that is, a set of measure zero (Halmos 1974). In cases where themeasure is not complete, it is sufficient that the set is containedwithin a set of measure zero. When discussing sets of real numbers, theLebesgue measure is assumed unless otherwise stated. The term almosteverywhere is abbreviated a.e.; in older literature p.p. is used, tostand for the equivalent French language phrase presque partout. A setwith full measure is one whose complement is of measure zero. Inprobability theory, the terms almost surely, almost certain and almostalways refer to sets with probability 1, which are exactly the sets offull measure in a probability space. Occasionally, instead of sayingthat a property holds almost everywhere, it is said that the propertyholds for almost all elements (though the term almost all also has othermeanings).…

Taschenbuch. Zustand: Neu. Supremum | Surface Runoff, Mathematics, Partially Ordered Set, Greatest Element, Real Number, Rational Number, Maximal Element, Upper and Lower Bounds, Mathematical Analysis | Lambert M. Surhone (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786130358501 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand.…

Taschenbuch. Zustand: Neu. Real Analysis | Mathematical Analysis, Real Number, Analytic Function, Function (Mathematics), Sequences | Lambert M. Surhone (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786131371264 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand.…

Taschenbuch. Zustand: Neu. Semi- Continuity | Semi- Continuity, Mathematical Analysis, Extended Real Number | Lambert M. Surhone (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786131120749 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand.…

Taschenbuch. Zustand: Neu. Hyperreal Number | Infinity, Infinitesimal, Field extension, Real number, Transfer principle, First-order logic, Soundness, Euclid, Method of exhaustion, Abraham Robinson, Mathematical analysis | Frederic P. Miller (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786130686314 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand.…

Taschenbuch. Zustand: Neu. Triangle Inequality | Triangle, Mathematics, Euclidean Geometry, Real Number, Euclidean Space, Mathematical Analysis | Lambert M. Surhone (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786131140808 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand. …