Rating: 5 out of 5 stars
5/5
Ebook440 pages9 hours
Mathematical Analysis: A Special Course
By G. Ye. Shilov, I. N. Sneddon and M. Stark
Rating: 5 out of 5 stars
5/5
()
About this ebook
Mathematical Analysis: A Special Course focuses on the study of mathematical analysis. The book first discusses set theory, including operations on sets, countable sets, equivalence of sets, and sets of the power of the continuum. The text also discusses the elements of the theory of metric and normed linear spaces. Topics include convergent sequences and closed sets; theorem of the fixed point; normed linear spaces; and continuous functions and compact spaces. The selection also discusses the calculus of variations; the theory of the integral; and geometry of Hilbert space. The text also covers differentiation and integration, including functions of bounded variation, derivative of a non-decreasing function, differentiation of functions of sets, and the Stieltjes integral. The book also looks at the Fourier transform. Topics include convergence of Fourier series; Laplace transform; Fourier transform in the case of various independent variables; and quasi-analytic classes of functions. The text is a valuable source of data for readers interested in the study of mathematical analysis.
Related to Mathematical Analysis
Related ebooks
C*-Algebras and Operator Theory Functional Analysis Rating: 4 out of 5 stars4/5Algebra Rating: 4 out of 5 stars4/5Modern Dimension Theory Rating: 0 out of 5 stars0 ratingsMathematical Methods: Linear Algebra / Normed Spaces / Distributions / Integration Rating: 0 out of 5 stars0 ratingsThe Theory of Lebesgue Measure and Integration Rating: 0 out of 5 stars0 ratingsOperators and Representation Theory: Canonical Models for Algebras of Operators Arising in Quantum Mechanics Rating: 3 out of 5 stars3/5An Introduction to Real Analysis: The Commonwealth and International Library: Mathematical Topics Rating: 0 out of 5 stars0 ratingsNon-Linear Differential Equations Rating: 0 out of 5 stars0 ratingsFourier Analysis in Probability Theory Rating: 0 out of 5 stars0 ratingsA Course of Higher Mathematics Rating: 0 out of 5 stars0 ratingsApplications of Finite Groups Rating: 0 out of 5 stars0 ratingsGeneralized Functions: Theory and Technique Rating: 5 out of 5 stars5/5An Introduction to Ordinary Differential Equations Rating: 4 out of 5 stars4/5Foundations of General Topology Rating: 0 out of 5 stars0 ratingsModern General Topology Rating: 0 out of 5 stars0 ratingsMeasure, Integration, and Functional Analysis Rating: 5 out of 5 stars5/5Mathematical Analysis: Differentiation and Integration Rating: 0 out of 5 stars0 ratingsBasic Real and Abstract Analysis Rating: 0 out of 5 stars0 ratingsSpecial Functions for Scientists and Engineers Rating: 5 out of 5 stars5/5Multivariable Calculus with Linear Algebra and Series Rating: 0 out of 5 stars0 ratingsMultivariable Calculus, Linear Algebra, and Differential Equations Rating: 4 out of 5 stars4/5Linear Algebra Rating: 3 out of 5 stars3/5Real Analysis and Probability: Probability and Mathematical Statistics: A Series of Monographs and Textbooks Rating: 5 out of 5 stars5/5RiemannÆs zeta function Rating: 4 out of 5 stars4/5Elements of Real Analysis Rating: 0 out of 5 stars0 ratingsStochastic Integrals Rating: 0 out of 5 stars0 ratingsAn Introduction to Algebraic and Combinatorial Coding Theory Rating: 4 out of 5 stars4/5
Mathematics For You
Calculus Made Easy Rating: 4 out of 5 stars4/5Standard Deviations: Flawed Assumptions, Tortured Data, and Other Ways to Lie with Statistics Rating: 4 out of 5 stars4/5Quantum Physics for Beginners Rating: 4 out of 5 stars4/5My Best Mathematical and Logic Puzzles Rating: 5 out of 5 stars5/5Algebra - The Very Basics Rating: 5 out of 5 stars5/5Basic Math & Pre-Algebra For Dummies Rating: 4 out of 5 stars4/5Real Estate by the Numbers: A Complete Reference Guide to Deal Analysis Rating: 0 out of 5 stars0 ratingsLogicomix: An epic search for truth Rating: 4 out of 5 stars4/5The Thirteen Books of the Elements, Vol. 1 Rating: 0 out of 5 stars0 ratingsThe Everything Guide to Algebra: A Step-by-Step Guide to the Basics of Algebra - in Plain English! Rating: 4 out of 5 stars4/5The Little Book of Mathematical Principles, Theories & Things Rating: 3 out of 5 stars3/5Game Theory: A Simple Introduction Rating: 4 out of 5 stars4/5Mental Math Secrets - How To Be a Human Calculator Rating: 5 out of 5 stars5/5The Everything Everyday Math Book: From Tipping to Taxes, All the Real-World, Everyday Math Skills You Need Rating: 5 out of 5 stars5/5Algebra I Workbook For Dummies Rating: 3 out of 5 stars3/5Alan Turing: The Enigma: The Book That Inspired the Film The Imitation Game - Updated Edition Rating: 4 out of 5 stars4/5Algebra I For Dummies Rating: 4 out of 5 stars4/5See Ya Later Calculator: Simple Math Tricks You Can Do in Your Head Rating: 4 out of 5 stars4/5Flatland Rating: 4 out of 5 stars4/5Relativity: The special and the general theory Rating: 5 out of 5 stars5/5The Golden Ratio: The Divine Beauty of Mathematics Rating: 5 out of 5 stars5/5Basic Math Notes Rating: 5 out of 5 stars5/5The Math of Life and Death: 7 Mathematical Principles That Shape Our Lives Rating: 4 out of 5 stars4/5Is God a Mathematician? Rating: 4 out of 5 stars4/5ACT Math & Science Prep: Includes 500+ Practice Questions Rating: 3 out of 5 stars3/5
Related podcast episodes
Electrodynamics: Modellansatz 069 0% found this document usefulA Computational Perspective on Metamathematics: Colloquium Mathematical Philosophy 0% found this document usefulHomogenization: Modellansatz 116 0% found this document usefulNanophotonics: Modellansatz 066 0% found this document usefulWaves: Modellansatz 054 0% found this document usefulNonhomogenous Fluids: Modellansatz 189 0% found this document usefulJulia Sets: Modellansatz 119 0% found this document usefulGeometrical Roots of Model Theory: Duality and Relative Consistency: Colloquium Mathematical Philosophy 0% found this document useful
Related articles
Visionary Mathematician Vladimir Voevodsky Dies at 51 QuantaArticle
Visionary Mathematician Vladimir Voevodsky Dies at 51
Oct 11, 2017
3 min readMath After COVID-19 QuantaArticle
Math After COVID-19
Apr 28, 2020
4 min readPhysicists Attack Math’s $1,000,000 Question QuantaArticle
Physicists Attack Math’s $1,000,000 Question
Apr 4, 2017
Physicists are attempting to map the distribution of the prime numbers to the energy levels of a particular quantum system.
4 min readKolmogorov Complexity and Our Search for Meaning NautilusArticle
Kolmogorov Complexity and Our Search for Meaning
Aug 2, 2018
Was it a chance encounter when you met that special someone or was there some deeper reason for it? What about that strange dream last night—was that just the random ramblings of the synapses of your brain or did it reveal something deep about your u
8 min readWhat Makes the Hardest Equations in Physics So Difficult? QuantaArticle
What Makes the Hardest Equations in Physics So Difficult?
Jan 16, 2018
3 min readMatrix Multiplication Inches Closer to Mythic Goal QuantaArticle
Matrix Multiplication Inches Closer to Mythic Goal
Mar 23, 2021
5 min readThe Math That Takes Newton Into the Quantum World NautilusArticle
The Math That Takes Newton Into the Quantum World
Feb 28, 2019
In my 50s, too old to become a real expert, I have finally fallen in love with algebraic geometry. As the name suggests, this is the study of geometry using algebra. Around 1637, René Descartes laid the groundwork for this subject by taking a plane,
9 min readBabbage And Running His Many Engines Linux FormatArticle
Babbage And Running His Many Engines
Nov 16, 2021
Mike Bedford Like most of us, Mike tended to think of the likes of Alan Turing and John von Neumann as the pioneers of computing, so delving further into Charles Babbage’s creations was truly inspiring. Discussion about the first ever computer often
11 min readMicrocontrollers In Amateur Radio CQ Amateur RadioArticle
Microcontrollers In Amateur Radio
Nov 1, 2022
7 min read
Reviews for Mathematical Analysis
Rating: 5 out of 5 stars
5/5
1 rating1 review
- Rating: 5 out of 5 stars5/5IT IS DETAILED EXPLAINED AND IT IS VERY INTERESTING BOOK
Book preview
Mathematical Analysis - G. Ye. Shilov
Enjoying the preview?
Page 1 of 1