03807nam 22007935 450 991101875760332120260223153606.0978303191713410.1007/978-3-031-91713-4(CKB)40073251500041(DE-He213)978-3-031-91713-4(MiAaPQ)EBC32255367(Au-PeEL)EBL32255367(EXLCZ)994007325150004120250731d2025 u| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierA Primer for Mathematical Analysis /by David Borthwick1st ed. 2025.Cham :Springer Nature Switzerland :Imprint: Springer,2025.1 online resource (VIII, 119 p. 18 illus., 16 illus. in color.)Synthesis Lectures on Mathematics & Statistics,1938-17519783031917127 Real Numbers -- Complex Numbers and Series -- Metric Topology -- Functions on Metric Spaces. Solutions to Exercises -- Index.This book presents a concise introduction to real and complex number systems and metric space theory. The goal is to help students bridge the gap between undergraduate courses in advanced calculus and graduate level material in analysis or related subjects such as differential geometry or probability. The unifying feature in all of these subject areas is the predominance of the limit, and metric space theory is the mathematical language in which limits are formulated. To understand analysis at a graduate level, students need to develop fluency in this language. To facilitate this development, exercises are incorporated into the main text, with many key results posed as problems. Solutions are provided to help readers fill in any gaps. This book: Covers the most crucial prerequisites for graduate level analysis, including metric space theory Contains plentiful exercises to help develop proficiency in the key ideas and techniques, with solutions provided Features a self-contained presentation designed for students to review or study on their own.Synthesis Lectures on Mathematics & Statistics,1938-1751MathematicsMathematical analysisFunctions of real variablesFunctions of complex variablesFunctional analysisMathematicsAnalysisReal FunctionsSeveral Complex Variables and Analytic SpacesIntegral Transforms and Operational CalculusFunctional AnalysisAnàlisi funcionalthubFuncions de diverses variables complexesthubCàlcul operacionalthubTransformacions integralsthubLlibres electrònicsthubMathematics.Mathematical analysis.Functions of real variables.Functions of complex variables.Functional analysis.Mathematics.Analysis.Real Functions.Several Complex Variables and Analytic Spaces.Integral Transforms and Operational Calculus.Functional Analysis.Anàlisi funcionalFuncions de diverses variables complexesCàlcul operacionalTransformacions integrals510Borthwick Davidauthttp://id.loc.gov/vocabulary/relators/aut503022MiAaPQMiAaPQMiAaPQBOOK9911018757603321A Primer for Mathematical Analysis4415473UNINA