Mathematical 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 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.

Produk Detail:

  • Author : Agamirza Bashirov
  • Publisher : Academic Press
  • Pages : 362 pages
  • ISBN : 0128010509
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKMathematical Analysis Fundamentals

Mathematical Analysis Fundamentals

Mathematical Analysis Fundamentals
  • Author : Agamirza Bashirov
  • Publisher : Academic Press
  • Release : 27 March 2014
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

Fundamentals of Mathematical Analysis

Fundamentals of Mathematical Analysis
  • Author : Adel N. Boules
  • Publisher : Oxford University Press, USA
  • Release : 09 March 2021
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 : 20 May 2022
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

Mathematical Analysis Fundamentals

Mathematical Analysis Fundamentals
  • Author : Agamirza Bashirov
  • Publisher : Elsevier
  • Release : 14 July 2016
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

Fundamentals of Real Analysis

Fundamentals of Real Analysis
  • Author : Sterling K. Berberian
  • Publisher : Springer Science & Business Media
  • Release : 15 March 2013
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

Fundamental Mathematical Analysis

Fundamental Mathematical Analysis
  • Author : Robert Magnus
  • Publisher : Springer Nature
  • Release : 14 July 2020
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

Tools of the Trade

Tools of the Trade
  • Author : Paul Sally
  • Publisher : American Mathematical Soc.
  • Release : 20 May 2022
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

Fundamentals of Algebraic Microlocal Analysis

Fundamentals of Algebraic Microlocal Analysis
  • Author : Goro Kato,Daniele C Struppa
  • Publisher : CRC Press
  • Release : 12 August 2020
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."

The Foundations of Real Analysis

The Foundations of Real Analysis
  • Author : Richard Mikula
  • Publisher : Universal-Publishers
  • Release : 20 October 2015
GET THIS BOOKThe Foundations of Real Analysis

This textbook covers the subject of real analysis from the fundamentals up through beginning graduate level. It is appropriate as an introductory course text or a review text for graduate qualifying examinations. Some special features of the text include a thorough discussion of transcendental functions such as trigonometric, logarithmic, and exponential from power series expansions, deducing all important functional properties from the series definitions. The text is written in a user-friendly manner, and includes full solutions to all assigned exercises

Fundamentals of Abstract Analysis

Fundamentals of Abstract Analysis
  • Author : Andrew Gleason
  • Publisher : A K PETERS
  • Release : 17 December 2019
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.

Foundations of Mathematical Analysis

Foundations of Mathematical Analysis
  • Author : Richard Johnsonbaugh,W.E. Pfaffenberger
  • Publisher : Courier Corporation
  • Release : 11 September 2012
GET THIS BOOKFoundations of Mathematical Analysis

Definitive look at modern analysis, with views of applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. More than 750 exercises; some hints and solutions. 1981 edition.

Fundamentals of Functional Analysis

Fundamentals of Functional Analysis
  • Author : Semën Samsonovich Kutateladze
  • Publisher : Springer Science & Business Media
  • Release : 09 March 2013
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*

Functional Analysis

Functional Analysis
  • Author : Michel Willem
  • Publisher : Springer Science & Business Media
  • Release : 13 August 2013
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