Analyse Ii
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Analysis I
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Author : Terence Tao
language : en
Publisher: Springer
Release Date : 2016-08-29
Analysis I written by Terence Tao and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-29 with Mathematics categories.
This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and then finally the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. The book also has appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of 25–30 lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.
Analysis Ii
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Author : Terence Tao
language : en
Publisher: Springer
Release Date : 2016-08-22
Analysis Ii written by Terence Tao and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-22 with Mathematics categories.
This is part two of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and then finally the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. The book also has appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of 25–30 lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.
Structural Analysis Ii 4th Edition
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Author : S.S. Bhavikatti
language : en
Publisher: Vikas Publishing House
Release Date :
Structural Analysis Ii 4th Edition written by S.S. Bhavikatti and has been published by Vikas Publishing House this book supported file pdf, txt, epub, kindle and other format this book has been release on with Technology & Engineering categories.
Structural analysis, or the 'theory of structures', is an important subject for civil engineering students who are required to analyse and design structures. It is a vast field and is largely taught at the undergraduate level. A few topics like matrix method and plastic analysis are also taught at the postgraduate level and in Structural Engineering electives. The entire course has been covered in two volumesStructural Analysis-I and II. Structural Analysis-II deals in depth with the analysis of indeterminate structures, and also special topics like curved beams and unsymmetrical bending. It provides an introduction to advanced methods of analysis, namely, matrix method and plastic analysis. SALIENT FEATURES Systematic explanation of concepts and underlying theory in each chapter Numerous solved problems presented methodically University examination questions solved in many chapters A set of exercises to test the student's ability in solving them correctly NEW IN THE FOURTH EDITION Thoroughly reworked computations Objective type questions and review questions A revamped summary for each chapter Redrawing of some diagrams
Analysis Ii
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Author : Revaz V. Gamkrelidze
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Analysis Ii written by Revaz V. Gamkrelidze and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Intended for a wide range of readers, this book covers the main ideas of convex analysis and approximation theory. The author discusses the sources of these two trends in mathematical analysis, develops the main concepts and results, and mentions some beautiful theorems. The relationship of convex analysis to optimization problems, to the calculus of variations, to optimal control and to geometry is considered, and the evolution of the ideas underlying approximation theory, from its origins to the present day, is discussed. The book is addressed both to students who want to acquaint themselves with these trends and to lecturers in mathematical analysis, optimization and numerical methods, as well as to researchers in these fields who would like to tackle the topic as a whole and seek inspiration for its further development.
Analysis Ii
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Author : Terence Tao
language : en
Publisher: Springer Nature
Release Date : 2023-02-22
Analysis Ii written by Terence Tao and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-22 with Mathematics categories.
This is the second book of a two-volume textbook on real analysis. Both the volumes—Analysis I and Analysis II—are intended for honors undergraduates who have already been exposed to calculus. The emphasis is on rigor and foundations. The material starts at the very beginning—the construction of number systems and set theory (Analysis I, Chaps. 1–5), then on to the basics of analysis such as limits, series, continuity, differentiation, and Riemann integration (Analysis I, Chaps. 6–11 on Euclidean spaces, and Analysis II, Chaps. 1–3 on metric spaces), through power series, several variable calculus, and Fourier analysis (Analysis II, Chaps. 4–6), and finally to the Lebesgue integral (Analysis II, Chaps. 7–8). There are appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) is taught in two quarters of twenty-five to thirty lectures each.
Analysis Ii
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Author : Claus Gerhardt
language : en
Publisher: American Mathematical Society(RI)
Release Date : 2006
Analysis Ii written by Claus Gerhardt and has been published by American Mathematical Society(RI) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
The second and last part of an introduction to analysis. The book covers Elements of functional analysis, differentiation in Banach spaces, the fundamental existence theorems in analysis, ordinary differential equations, Lebesgue's theory of integration, tensor analysis, and the theory of submanifolds in semi-Riemannian spaces.
Analysis Ii
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Author : Christiane Tretter
language : de
Publisher: Springer-Verlag
Release Date : 2013-07-26
Analysis Ii written by Christiane Tretter and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-26 with Mathematics categories.
Das Lehrbuch ist der zweite von zwei einführenden Bänden in die Analysis. Es zeichnet sich dadurch aus, dass alle Themen der Analysis 2 kompakt zusammengefasst sind und dennoch auf typische Schwierigkeiten eingegangen wird. Beginnend mit der Topologie metrischer Räume über die Differentialrechnung von Funktionen mehrerer reeller Variablen bis zu gewöhnlichen Differentialgleichungen und Fourierreihen, enthält das Buch alle prüfungsrelevanten Inhalte. Der Stoff kann anhand von Beispielen, Gegenbeispielen und Aufgaben nachvollzogen werden.
Mathematical Analysis Ii
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Author : Vladimir A. Zorich
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-01-22
Mathematical Analysis Ii written by Vladimir A. Zorich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-22 with Mathematics categories.
This work by Zorich on Mathematical Analysis constitutes a thorough first course in real analysis, leading from the most elementary facts about real numbers to such advanced topics as differential forms on manifolds, asymptotic methods, Fourier, Laplace, and Legendre transforms, and elliptic functions.
Mathematical Analysis Ii
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Author : Claudio Canuto
language : en
Publisher: Springer
Release Date : 2015-02-07
Mathematical Analysis Ii written by Claudio Canuto and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-07 with Mathematics categories.
The purpose of the volume is to provide a support textbook for a second lecture course on Mathematical Analysis. The contents are organised to suit, in particular, students of Engineering, Computer Science and Physics, all areas in which mathematical tools play a crucial role. The basic notions and methods concerning integral and differential calculus for multivariable functions, series of functions and ordinary differential equations are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The pedagogical layout echoes the one used in the companion text Mathematical Analysis I. The book’s structure has a specifically-designed modular nature, which allows for great flexibility in the preparation of a lecture course on Mathematical Analysis. The style privileges clarity in the exposition and a linear progression through the theory. The material is organised on two levels. The first, reflected in this book, allows students to grasp the essential ideas, familiarise with the corresponding key techniques and find the proofs of the main results. The second level enables the strongly motivated reader to explore further into the subject, by studying also the material contained in the appendices. Definitions are enriched by many examples, which illustrate the properties discussed. A host of solved exercises complete the text, at least half of which guide the reader to the solution. This new edition features additional material with the aim of matching the widest range of educational choices for a second course of Mathematical Analysis.
Analysis Ii
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Author : Martin Barner
language : de
Publisher: Walter de Gruyter
Release Date : 2011-02-11
Analysis Ii written by Martin Barner and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-11 with Mathematics categories.
In der Modernit̃t der Darstellung unterscheidet sich dieser Band von vielen Konkurenzwerken, indem von Anfang an die Methoden der Linearen Algebra und Anfangsvoraussetzungen der Funktionanalysis entwickelt und geschickt integriert werden, ohne dabei den Anf̃nger im Abstraktionsniveau zu berfordern. Die Darstellung, die Auswahl der vielen Beispiele und die ca. 400 (!!) Aufgaben sind so hervorragend getroffen, dass ein Kursleiter eines anspruchsvollen Leistungskurses zu einigen Wahlthemen im Sek II-Bereich hier eine wertvolle Fundgrube vorfindet.