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Convex Functions and Their Applications: A Contemporary Approach (CMS CAIMS Books in Mathematics, 14) - Constantin P. Niculescu  PDF  BOOKS
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Convex Functions and Their Applications: A Contemporary Approach (CMS CAIMS Books in Mathematics, 14)
Author: Constantin P. Niculescu
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Language: English



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The book "Convex Functions and Their Applications" by Dr. S. S. Sreedhar, published by CMS (Canadian Mathematical Society) and CAIMS (Canadian Association of Information Science), is a comprehensive guide to convex functions and their applications in contemporary mathematics. The book provides a thorough understanding of the fundamental concepts of convex functions, including their properties, applications, and recent advances in the field. It covers various topics such as convex optimization, functional analysis, and geometric analysis, making it an essential resource for researchers, graduate students, and professionals working in these areas. The book begins with an introduction to convex functions, their definition, and basic properties. It then delves into more advanced topics such as convex sets, convex functions, and their applications in optimization theory. The author presents a detailed discussion on the concept of convexity, its importance, and its relevance in modern mathematics and technology. He also explores the relationship between convex functions and other branches of mathematics, such as linear algebra, calculus, and differential equations. One of the unique aspects of this book is its focus on the contemporary approach to studying convex functions.
Книга «Выпуклые функции и их приложения» доктора С. С. Сридхара, опубликованная CMS (Канадское математическое общество) и CAIMS (Канадская ассоциация информационных наук), представляет собой всеобъемлющее руководство по выпуклым функциям и их приложениям в современной математике. Книга даёт полное понимание фундаментальных понятий выпуклых функций, включая их свойства, применения и последние достижения в области. Он охватывает различные темы, такие как выпуклая оптимизация, функциональный анализ и геометрический анализ, что делает его важным ресурсом для исследователей, аспирантов и специалистов, работающих в этих областях. Книга начинается с введения в выпуклые функции, их определения и основных свойств. Затем он углубляется в более продвинутые темы, такие как выпуклые множества, выпуклые функции и их приложения в теории оптимизации. Автор представляет развернутую дискуссию о понятии выпуклости, ее важности, актуальности в современной математике и технике. Он также исследует связь между выпуклыми функциями и другими разделами математики, такими как линейная алгебра, исчисление и дифференциальные уравнения. Одним из уникальных аспектов этой книги является её направленность на современный подход к изучению выпуклых функций.
livre « s fonctions convexes et leurs applications » du Dr S. S. Sridhara, publié par la CMS (Société mathématique du Canada) et le CAIMS (Association canadienne des sciences de l'information), est un guide complet sur les fonctions convexes et leurs applications en mathématiques modernes. livre donne une compréhension complète des concepts fondamentaux des fonctions convexes, y compris leurs propriétés, leurs applications et les progrès récents dans le domaine. Il couvre divers sujets tels que l'optimisation convexe, l'analyse fonctionnelle et l'analyse géométrique, ce qui en fait une ressource importante pour les chercheurs, les étudiants de troisième cycle et les professionnels travaillant dans ces domaines. livre commence par une introduction aux fonctions convexes, à leurs définitions et à leurs propriétés de base. Il se penche ensuite sur des sujets plus avancés tels que les ensembles convexes, les fonctions convexes et leurs applications en théorie de l'optimisation. L'auteur présente un débat approfondi sur la notion de gonflement, son importance, sa pertinence dans les mathématiques et la technologie modernes. Il étudie également la relation entre les fonctions convexes et d'autres sections des mathématiques telles que l'algèbre linéaire, le calcul et les équations différentielles. L'un des aspects uniques de ce livre est son orientation vers une approche moderne de l'étude des fonctions convexes.
libro «Funciones convexas y sus aplicaciones» del Dr. S. S. Sridhar, publicado por CMS (Canadian Mathematical Society) y CAIMS (Canadian Association of Information Sciences), es una guía completa sobre funciones convexas y sus aplicaciones en matemáticas modernas. libro proporciona una comprensión completa de los conceptos fundamentales de las funciones convexas, incluyendo sus propiedades, aplicaciones y los últimos avances en el campo. Abarca diversos temas como la optimización convexa, el análisis funcional y el análisis geométrico, lo que lo convierte en un recurso importante para investigadores, estudiantes de posgrado y profesionales que trabajan en estos campos. libro comienza con una introducción a las funciones convexas, su definición y propiedades básicas. Luego se profundiza en temas más avanzados como conjuntos convexos, funciones convexas y sus aplicaciones en teoría de optimización. autor presenta un amplio debate sobre la noción de bulto, su importancia, relevancia en las matemáticas y técnicas modernas. También explora la relación entre las funciones convexas y otras secciones de las matemáticas, como el álgebra lineal, el cálculo y las ecuaciones diferenciales. Uno de los aspectos únicos de este libro es su enfoque hacia un enfoque moderno en el estudio de funciones convexas.
Il libro «Funzioni convogliate e le loro applicazioni» del dottor S. S. Sridhar, pubblicato da CMS (Canadian Matematical Society) e CAIMS (Canadian Association of Information Science), è una guida completa alle funzioni convulsive e alle loro applicazioni nella matematica moderna. Il libro fornisce una comprensione completa dei concetti fondamentali delle funzioni convogliate, incluse le loro proprietà, le loro applicazioni e gli ultimi progressi nel campo. occupa di vari temi, come l'ottimizzazione convulsa, analisi funzionali e analisi geometriche, che lo rendono una risorsa importante per ricercatori, studenti di laurea e professionisti che lavorano in questi campi. Il libro inizia con l'introduzione alle funzioni convesse, la loro definizione e le proprietà di base. Poi si approfondisce su argomenti più avanzati, come le molteplici convulsioni, le funzioni convesse e le loro applicazioni in teoria di ottimizzazione. L'autore presenta un dibattito approfondito sul concetto di convulsione, la sua importanza, la sua rilevanza nella matematica e nella tecnologia di oggi. Sta anche esplorando il legame tra funzioni convinte e altre sezioni della matematica, come algebra lineare, calcolo e equazioni differenziali. Uno degli aspetti unici di questo libro è il suo orientamento verso un approccio moderno allo studio delle funzioni convogliate.
Das Buch „Convex Functions and Their Applications“ von Dr. S. S. Sridhar, herausgegeben von CMS (Canadian Mathematical Society) und CAIMS (Canadian Association of Information Sciences), ist ein umfassender itfaden zu konvexen Funktionen und ihren Anwendungen in der modernen Mathematik. Das Buch bietet ein umfassendes Verständnis der grundlegenden Konzepte der konvexen Funktionen, einschließlich ihrer Eigenschaften, Anwendungen und neuesten Fortschritte auf dem Gebiet. Es deckt eine Vielzahl von Themen wie konvexe Optimierung, Funktionsanalyse und geometrische Analyse ab und ist damit eine wichtige Ressource für Forscher, Doktoranden und Fachleute, die in diesen Bereichen arbeiten. Das Buch beginnt mit einer Einführung in konvexe Funktionen, deren Definition und grundlegenden Eigenschaften. Es geht dann tiefer in fortgeschrittenere Themen wie konvexe Mengen, konvexe Funktionen und ihre Anwendungen in der Optimierungstheorie. Der Autor präsentiert eine ausführliche Diskussion über den Begriff der Konvexität, ihre Bedeutung, Relevanz in der modernen Mathematik und Technik. Es untersucht auch die Beziehung zwischen konvexen Funktionen und anderen Bereichen der Mathematik wie lineare Algebra, Kalkül und Differentialgleichungen. Ein einzigartiger Aspekt dieses Buches ist sein Fokus auf einen modernen Ansatz zur Untersuchung konvexer Funktionen.
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CMS (Canadian Mathematical Society) ve CAIMS (Canadian Information Science Association) tarafından yayınlanan Dr. S. S. Sridhar'ın "Dışbükey Fonksiyonlar ve Uygulamaları" kitabı, dışbükey fonksiyonlar ve modern matematikteki uygulamaları için kapsamlı bir kılavuzdur. Kitap, özellikleri, uygulamaları ve alandaki son başarıları da dahil olmak üzere dışbükey fonksiyonların temel kavramlarını tam olarak anlamaktadır. Dışbükey optimizasyon, fonksiyonel analiz ve geometrik analiz gibi çeşitli konuları kapsar, bu da onu araştırmacılar, lisansüstü öğrenciler ve bu alanlarda çalışan profesyoneller için önemli bir kaynak haline getirir. Kitap, dışbükey fonksiyonlara, tanımlarına ve temel özelliklerine bir giriş ile başlar. Daha sonra dışbükey kümeler, dışbükey fonksiyonlar ve bunların optimizasyon teorisindeki uygulamaları gibi daha gelişmiş konulara girer. Yazar, konveksite kavramı, önemi, modern matematik ve teknolojideki önemi hakkında ayrıntılı bir tartışma sunmaktadır. Ayrıca dışbükey fonksiyonlar ile doğrusal cebir, kalkülüs ve diferansiyel denklemler gibi matematiğin diğer dalları arasındaki ilişkiyi araştırıyor. Bu kitabın benzersiz yönlerinden biri, dışbükey fonksiyonların incelenmesine modern yaklaşıma odaklanmasıdır.
CMS(加拿大數學學會)和CAIMS(加拿大信息科學協會)出版的S. S. Sridhar博士的著作《凸函數及其應用》是凸函數及其在現代數學中的應用的綜合指南。該書充分了解了凸函數的基本概念,包括其屬性,應用和該領域的最新進展。它涵蓋了各種主題,例如凸優化,功能分析和幾何分析,使其成為在這些領域工作的研究人員,研究生和專業人員的重要資源。本書首先介紹了凸函數,它們的定義和基本屬性。然後,他深入研究了更高級的主題,例如凸集,凸函數及其在優化理論中的應用。作者對凸性的概念,其重要性,在現代數學和技術中的相關性進行了深入的討論。他還研究了凸函數與數學的其他部分之間的關系,例如線性代數,微積分和微分方程。這本書的一個獨特方面是它專註於現代方法來研究凸函數。

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