Mathematical Analysis Fundamentals

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  • Publisher : Academic Press
  • Release : 27 March 2014
  • ISBN : 9780128010501
  • Page : 362 pages
  • Rating : 4.5/5 from 103 voters

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The author’s goal is a rigorous presentation of the fundamentals of analysis, starting from elementary level and moving to the advanced coursework. The curriculum of all mathematics (pure or applied) and physics programs include a compulsory course in mathematical analysis. This book will serve as can serve a main textbook of such (one semester) courses. The book can also serve as additional reading for such courses as real analysis, functional analysis, harmonic analysis etc. For non-math major students requiring math beyond calculus, this is a more friendly approach than many math-centric options. Friendly and well-rounded presentation of pre-analysis topics such as sets, proof techniques and systems of numbers. Deeper discussion of the basic concept of convergence for the system of real numbers, pointing out its specific features, and for metric spaces Presentation of Riemann integration and its place in the whole integration theory for single variable, including the Kurzweil-Henstock integration Elements of multiplicative calculus aiming to demonstrate the non-absoluteness of Newtonian calculus.

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Mathematical Analysis Fundamentals

Mathematical Analysis Fundamentals
  • Author : Agamirza Bashirov
  • Publisher : Academic Press
  • Release Date : 2014-03-27
  • ISBN : 9780128010501
GET THIS BOOKMathematical Analysis Fundamentals

The author’s goal is a rigorous presentation of the fundamentals of analysis, starting from elementary level and moving to the advanced coursework. The curriculum of all mathematics (pure or applied) and physics programs include a compulsory course in mathematical analysis. This book will serve as can serve a main textbook of such (one semester) courses. The book can also serve as additional reading for such courses as real analysis, functional analysis, harmonic analysis etc. For non-math major students requiring

The Fundamentals of Mathematical Analysis

The Fundamentals of Mathematical Analysis
  • Author : G. M. Fikhtengol'ts
  • Publisher : Pergamon
  • Release Date : 1965
  • ISBN : UOM:39015011441634
GET THIS BOOKThe Fundamentals of Mathematical Analysis

Fundamentals of Mathematical Analysis

Fundamentals of Mathematical Analysis
  • Author : Adel N. Boules
  • Publisher : Oxford University Press, USA
  • Release Date : 2021-03-09
  • ISBN : 9780198868781
GET THIS BOOKFundamentals of Mathematical Analysis

Fundamentals of Mathematical Analysis explores real and functional analysis with a substantial component on topology. The three leading chapters furnish background information on the real and complex number fields, a concise introduction to set theory, and a rigorous treatment of vector spaces. Fundamentals of Mathematical Analysis is an extensive study of metric spaces, including the core topics of completeness, compactness and function spaces, with a good number of applications. The later chapters consist of an introduction to general topology, a

Fundamentals of Mathematical Analysis

Fundamentals of Mathematical Analysis
  • Author : Paul J. Sally, Jr.
  • Publisher : American Mathematical Soc.
  • Release Date : 2013
  • ISBN : 9780821891414
GET THIS BOOKFundamentals of Mathematical Analysis

This is a textbook for a course in Honors Analysis (for freshman/sophomore undergraduates) or Real Analysis (for junior/senior undergraduates) or Analysis-I (beginning graduates). It is intended for students who completed a course in ``AP Calculus'', possibly followed by a routine course in multivariable calculus and a computational course in linear algebra. There are three features that distinguish this book from many other books of a similar nature and which are important for the use of this book as

Fundamental Mathematical Analysis

Fundamental Mathematical Analysis
  • Author : Robert Magnus
  • Publisher : Springer Nature
  • Release Date : 2020-07-14
  • ISBN : 9783030463212
GET THIS BOOKFundamental Mathematical Analysis

This textbook offers a comprehensive undergraduate course in real analysis in one variable. Taking the view that analysis can only be properly appreciated as a rigorous theory, the book recognises the difficulties that students experience when encountering this theory for the first time, carefully addressing them throughout. Historically, it was the precise description of real numbers and the correct definition of limit that placed analysis on a solid foundation. The book therefore begins with these crucial ideas and the fundamental

Fundamentals of Real Analysis

Fundamentals of Real Analysis
  • Author : Sterling K. Berberian
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-03-15
  • ISBN : 0387984801
GET THIS BOOKFundamentals of Real Analysis

"This book is very well organized and clearly written and contains an adequate supply of exercises. If one is comfortable with the choice of topics in the book, it would be a good candidate for a text in a graduate real analysis course." -- MATHEMATICAL REVIEWS

Fundamentals of Functional Analysis

Fundamentals of Functional Analysis
  • Author : Semën Samsonovich Kutateladze
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-03-09
  • ISBN : 9789401587556
GET THIS BOOKFundamentals of Functional Analysis

to the English Translation This is a concise guide to basic sections of modern functional analysis. Included are such topics as the principles of Banach and Hilbert spaces, the theory of multinormed and uniform spaces, the Riesz-Dunford holomorphic functional calculus, the Fredholm index theory, convex analysis and duality theory for locally convex spaces. With standard provisos the presentation is self-contained, exposing about a h- dred famous "named" theorems furnished with complete proofs and culminating in the Gelfand-Nalmark-Segal construction for C*

Advanced Calculus: Fundamentals of Mathematics

Advanced Calculus: Fundamentals of Mathematics
  • Author : Carlos Polanco
  • Publisher : Bentham Science Publishers
  • Release Date : 2019-07-31
  • ISBN : 9789811415074
GET THIS BOOKAdvanced Calculus: Fundamentals of Mathematics

Vector calculus is an essential mathematical tool for performing mathematical analysis of physical and natural phenomena. It is employed in advanced applications in the field of engineering and computer simulations. This textbook covers the fundamental requirements of vector calculus in curricula for college students in mathematics and engineering programs. Chapters start from the basics of vector algebra, real valued functions, different forms of integrals, geometric algebra and the various theorems relevant to vector calculus and differential forms. Readers will find

The Fundamentals of Analysis for Talented Freshmen

The Fundamentals of Analysis for Talented Freshmen
  • Author : Peter M. Luthy,Guido L. Weiss,Steven S. Xiao
  • Publisher : Morgan & Claypool Publishers
  • Release Date : 2016-08-23
  • ISBN : 9781627059510
GET THIS BOOKThe Fundamentals of Analysis for Talented Freshmen

This book assumes the students know some of the basic facts about Calculus. We are very rigorous and expose them to the proofs and the ideas which produce them. In three chapters, this book covers these number systems and the material usually found in a junior-senior advanced Calculus course. It is designed to be a one-semester course for "talented" freshmen. Moreover, it presents a way of thinking about mathematics that will make it much easier to learn more of this

Fundamentals of Algebraic Microlocal Analysis

Fundamentals of Algebraic Microlocal Analysis
  • Author : Goro Kato,Daniele C Struppa
  • Publisher : CRC Press
  • Release Date : 2020-08-12
  • ISBN : 9781000148398
GET THIS BOOKFundamentals of Algebraic Microlocal Analysis

"Provides a thorough introduction to the algebraic theory of systems of differential equations, as developed by the Japanese school of M. Sato and his colleagues. Features a complete review of hyperfunction-microfunction theory and the theory of D-modules. Strikes the perfect balance between analytic and algebraic aspects."

Proofs and Fundamentals

Proofs and Fundamentals
  • Author : Ethan D. Bloch
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-12-01
  • ISBN : 9781461221302
GET THIS BOOKProofs and Fundamentals

The aim of this book is to help students write mathematics better. Throughout it are large exercise sets well-integrated with the text and varying appropriately from easy to hard. Basic issues are treated, and attention is given to small issues like not placing a mathematical symbol directly after a punctuation mark. And it provides many examples of what students should think and what they should write and how these two are often not the same.

Fundamentals of Abstract Analysis

Fundamentals of Abstract Analysis
  • Author : Andrew Gleason
  • Publisher : A K PETERS
  • Release Date : 2019-12-17
  • ISBN : 0367450178
GET THIS BOOKFundamentals of Abstract Analysis

This classic is an ideal introduction for students into the methodology and thinking of higher mathematics. It covers material not usually taught in the more technically-oriented introductory classes and will give students a well-rounded foundation for future studies.

Fundamentals of Discrete Math for Computer Science

Fundamentals of Discrete Math for Computer Science
  • Author : Tom Jenkyns,Ben Stephenson
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-10-16
  • ISBN : 9781447140696
GET THIS BOOKFundamentals of Discrete Math for Computer Science

This textbook provides an engaging and motivational introduction to traditional topics in discrete mathematics, in a manner specifically designed to appeal to computer science students. The text empowers students to think critically, to be effective problem solvers, to integrate theory and practice, and to recognize the importance of abstraction. Clearly structured and interactive in nature, the book presents detailed walkthroughs of several algorithms, stimulating a conversation with the reader through informal commentary and provocative questions. Features: no university-level background in

Tools of the Trade

Tools of the Trade
  • Author : Paul Sally
  • Publisher : American Mathematical Soc.
  • Release Date : 2008
  • ISBN : 9780821846346
GET THIS BOOKTools of the Trade

This book provides a transition from the formula-full aspects of the beginning study of college level mathematics to the rich and creative world of more advanced topics. It is designed to assist the student in mastering the techniques of analysis and proof that are required to do mathematics. Along with the standard material such as linear algebra, construction of the real numbers via Cauchy sequences, metric spaces and complete metric spaces, there are three projects at the end of each

Functional Analysis

Functional Analysis
  • Author : Michel Willem
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-08-13
  • ISBN : 9781461470045
GET THIS BOOKFunctional Analysis

The goal of this work is to present the principles of functional analysis in a clear and concise way. The first three chapters of Functional Analysis: Fundamentals and Applications describe the general notions of distance, integral and norm, as well as their relations. The three chapters that follow deal with fundamental examples: Lebesgue spaces, dual spaces and Sobolev spaces. Two subsequent chapters develop applications to capacity theory and elliptic problems. In particular, the isoperimetric inequality and the Pólya-Szegő and