This Well Written Text Provides Excellent Instruction In Basic Real Analysis, Giving A Solid Foundation For Direct Entry Into Advanced Work In Such Fields As Complex Analysis, Differential Equations, Integration Theory, And General Topology The Nominal Prerequisite Is A Year Of Calculus, But Actually Nothing Is Assumed Other Than The Axioms Of The Real Number System Because Of Its Clarity, Simplicity Of Exposition, And Stress On Easier Examples, This Material Is Accessible To A Wide Range Of Students, Of Both Mathematics And Other Fields.Chapter Headings Include Notions From Set Theory, The Real Number System, Metric Spaces, Continuous Functions, Differentiation, Riemann Integration, Interchange Of Limit Operations, The Method Of Successive Approximations, Partial Differentiation, And Multiple Integrals.Following Some Introductory Material On Very Basic Set Theory And The Deduction Of The Most Important Properties Of The Real Number System From Its Axioms, Professor Rosenlicht Gets To The Heart Of The Book A Rigorous And Carefully Presented Discussion Of Metric Spaces And Continuous Functions, Including Such Topics As Open And Closed Sets, Limits And Continuity, And Convergent Sequence Of Points And Of Functions Subsequent Chapters Cover Smoothly And Efficiently The Relevant Aspects Of Elementary Calculus Together With Several Somewhat Advanced Subjects, Such As Multivariable Calculus And Existence Theorems The Exercises Include Both Easy Problems And Difficult Ones, Interesting Examples And Counter Examples, And A Number Of Advanced Results Introduction To Analysis Lends Itself To A One Or Two Quarter Or One Semester Course At The Undergraduate Level It Grew Out Of A Course Given At Berkeley Since 1960 Refinement Through Extensive Classroom Use And The Author S Pedagogical Experience And Expertise Make It An Unusually Accessible Introductory Text.

With Introduction to Analysis by Maxwell Rosenlicht, we are introduced to concepts, ideas, and theories that will aid in further mathematical progress The book presumes that you know Calculus up to Partial Differentiation and Multi variable Integration Set Theory and what the little symbols mean is covered in some detail In terms of mathematics, the symbols have always been my downfall, especially once it starts going Greek.The book contains problems to solve but does not contain the solutions to those problems I don t think that would be too much of an issue, but you never know in some case...

The notation is out of date and the book is too brief to be useful I would only suggest this to someone who is reading for self study but never for someone who is going to take a Analysis course This book was near useless to me.

Good introduction but it s very formal and quite dry It definitely improved my knowledge a lot, so it has served its purpose.

It s a classic Dover series math text By that, I mean it covers great topics, but not always in the most effective ways look for a recent, supplementary intro to analysis text, if this is for your first course in analysis The examples provide some insight, but not as much as one might hope Working through the mid section proofs of the propositions, theorems and corollaries provided the most insight for me Early problem sets typically range from simple to moderate in difficulty, later sets grow challenging, as expected For most of the book, only knowledge through the Calculus is assumed, but I think I remember a basic use of elementary linear algebra for some later material.Getting through the book is rewarding, though It s a clearly written text, so revisiting topics is quick and easy I later referenced it alongside a differential geometry text to better understand the inverse and implicit funct...

It is hard to find a good and cheap book for introductory analysis But I have to admit this book fits the bill I believe it cost me 8 and it is well written full bodied text.