A First Course in Real Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 1441985484
Total Pages : 249 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis A First Course in Real Analysis by : Sterling K. Berberian

Download or read book A First Course in Real Analysis written by Sterling K. Berberian and published by Springer Science & Business Media. This book was released on 2012-09-10 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is the music of science, and real analysis is the Bach of mathematics. There are many other foolish things I could say about the subject of this book, but the foregoing will give the reader an idea of where my heart lies. The present book was written to support a first course in real analysis, normally taken after a year of elementary calculus. Real analysis is, roughly speaking, the modern setting for Calculus, "real" alluding to the field of real numbers that underlies it all. At center stage are functions, defined and taking values in sets of real numbers or in sets (the plane, 3-space, etc.) readily derived from the real numbers; a first course in real analysis traditionally places the emphasis on real-valued functions defined on sets of real numbers. The agenda for the course: (1) start with the axioms for the field ofreal numbers, (2) build, in one semester and with appropriate rigor, the foun dations of calculus (including the "Fundamental Theorem"), and, along the way, (3) develop those skills and attitudes that enable us to continue learning mathematics on our own. Three decades of experience with the exercise have not diminished my astonishment that it can be done.

Analysis I

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Author :
Publisher : Springer
ISBN 13 : 9811017891
Total Pages : 366 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Analysis I by : Terence Tao

Download or read book Analysis I written by Terence Tao and published by Springer. This book was released on 2016-08-29 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and then finally the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. The book also has appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of 25–30 lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.

Mathematical Analysis

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Author :
Publisher : The Trillia Group
ISBN 13 : 1931705038
Total Pages : 436 pages
Book Rating : 4.9/5 (317 download)

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Book Synopsis Mathematical Analysis by : Elias Zakon

Download or read book Mathematical Analysis written by Elias Zakon and published by The Trillia Group. This book was released on 2009-12-18 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Understanding Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 0387215069
Total Pages : 269 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Understanding Analysis by : Stephen Abbott

Download or read book Understanding Analysis written by Stephen Abbott and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This elementary presentation exposes readers to both the process of rigor and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The aim is to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination. Each chapter begins with the discussion of some motivating examples and concludes with a series of questions.

Fundamentals of Mathematical Analysis

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Publisher : Oxford University Press, USA
ISBN 13 : 0198868782
Total Pages : 481 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis Fundamentals of Mathematical Analysis by : Adel N. Boules

Download or read book Fundamentals of Mathematical Analysis written by Adel N. Boules and published by Oxford University Press, USA. This book was released on 2021-03-09 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 classical treatment of Banach and Hilbert spaces, the elements of operator theory, and a deep account of measure and integration theories. Several courses can be based on the book. This book is suitable for a two-semester course on analysis, and material can be chosen to design one-semester courses on topology or real analysis. It is designed as an accessible classical introduction to the subject and aims to achieve excellent breadth and depth and contains an abundance of examples and exercises. The topics are carefully sequenced, the proofs are detailed, and the writing style is clear and concise. The only prerequisites assumed are a thorough understanding of undergraduate real analysis and linear algebra, and a degree of mathematical maturity.

Mathematical Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 1461207150
Total Pages : 348 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Mathematical Analysis by : Andrew Browder

Download or read book Mathematical Analysis written by Andrew Browder and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the traditional purposes of such an introductory course is the training of a student in the conventions of pure mathematics: acquiring a feeling for what is considered a proof, and supplying literate written arguments to support mathematical propositions. To this extent, more than one proof is included for a theorem - where this is considered beneficial - so as to stimulate the students' reasoning for alternate approaches and ideas. The second half of this book, and consequently the second semester, covers differentiation and integration, as well as the connection between these concepts, as displayed in the general theorem of Stokes. Also included are some beautiful applications of this theory, such as Brouwer's fixed point theorem, and the Dirichlet principle for harmonic functions. Throughout, reference is made to earlier sections, so as to reinforce the main ideas by repetition. Unique in its applications to some topics not usually covered at this level.

Introduction to Mathematical Analysis

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Publisher : McGraw-Hill Companies
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Introduction to Mathematical Analysis by : William R. Parzynski

Download or read book Introduction to Mathematical Analysis written by William R. Parzynski and published by McGraw-Hill Companies. This book was released on 1982 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Foundations of Mathematical Analysis

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Publisher : Courier Corporation
ISBN 13 : 0486134776
Total Pages : 450 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Foundations of Mathematical Analysis by : Richard Johnsonbaugh

Download or read book Foundations of Mathematical Analysis written by Richard Johnsonbaugh and published by Courier Corporation. This book was released on 2012-09-11 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Publishers Weekly

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Publisher :
ISBN 13 :
Total Pages : 780 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis The Publishers Weekly by :

Download or read book The Publishers Weekly written by and published by . This book was released on 1883 with total page 780 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Book Buyer

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Publisher :
ISBN 13 :
Total Pages : 1112 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis The Book Buyer by :

Download or read book The Book Buyer written by and published by . This book was released on 1872 with total page 1112 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Calculus on Manifolds

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Publisher : Westview Press
ISBN 13 : 9780805390216
Total Pages : 164 pages
Book Rating : 4.3/5 (92 download)

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Book Synopsis Calculus on Manifolds by : Michael Spivak

Download or read book Calculus on Manifolds written by Michael Spivak and published by Westview Press. This book was released on 1965 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses elementary versions of modern methods found in sophisticated mathematics to discuss portions of "advanced calculus" in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level.

The Task Analysis for Developing Mathematical Processes, Arithmetic, Book 3, Writing Mathematical Sentences Using Larger Numbers, and Arithmetic, Book 4, the Integers

Download The Task Analysis for Developing Mathematical Processes, Arithmetic, Book 3, Writing Mathematical Sentences Using Larger Numbers, and Arithmetic, Book 4, the Integers PDF Online Free

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Publisher :
ISBN 13 :
Total Pages : 58 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis The Task Analysis for Developing Mathematical Processes, Arithmetic, Book 3, Writing Mathematical Sentences Using Larger Numbers, and Arithmetic, Book 4, the Integers by : John Grover Harvey

Download or read book The Task Analysis for Developing Mathematical Processes, Arithmetic, Book 3, Writing Mathematical Sentences Using Larger Numbers, and Arithmetic, Book 4, the Integers written by John Grover Harvey and published by . This book was released on 1972 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics for Human Flourishing

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Publisher : Yale University Press
ISBN 13 : 0300248814
Total Pages : 287 pages
Book Rating : 4.3/5 (2 download)

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Book Synopsis Mathematics for Human Flourishing by : Francis Su

Download or read book Mathematics for Human Flourishing written by Francis Su and published by Yale University Press. This book was released on 2020-01-07 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Winner of the Mathematics Association of America's 2021 Euler Book Prize, this is an inclusive vision of mathematics—its beauty, its humanity, and its power to build virtues that help us all flourish“This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart.”—James Tanton, Global Math Project"A good book is an entertaining read. A great book holds up a mirror that allows us to more clearly see ourselves and the world we live in. Francis Su’s Mathematics for Human Flourishing is both a good book and a great book."—MAA Reviews For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity’s most beautiful ideas.In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award‑winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires—such as for play, beauty, freedom, justice, and love—and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother’s, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher’s letters to the author appear throughout the book and show how this intellectual pursuit can—and must—be open to all.

Math with Bad Drawings

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Publisher : Black Dog & Leventhal
ISBN 13 : 0316509027
Total Pages : 556 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Math with Bad Drawings by : Ben Orlin

Download or read book Math with Bad Drawings written by Ben Orlin and published by Black Dog & Leventhal. This book was released on 2018-09-18 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.

Elementary Analysis

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Publisher : CUP Archive
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4./5 ( download)

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Book Synopsis Elementary Analysis by : Kenneth A. Ross

Download or read book Elementary Analysis written by Kenneth A. Ross and published by CUP Archive. This book was released on 2014-01-15 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analysis

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Publisher : American Mathematical Soc.
ISBN 13 : 0821827839
Total Pages : 378 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Analysis by : Elliott H. Lieb

Download or read book Analysis written by Elliott H. Lieb and published by American Mathematical Soc.. This book was released on 2001 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This course in real analysis begins with the usual measure theory, then brings the reader quickly to a level where a wider than usual range of topics can be appreciated. Topics covered include Lp- spaces, rearrangement inequalities, sharp integral inequalities, distribution theory, Fourier analysis, potential theory, and Sobolev spaces. To illustrate these topics, there is a chapter on the calculus of variations, with examples from mathematical physics, as well as a chapter on eigenvalue problems (new to this edition). For graduate students of mathematics, and for students of the natural sciences and engineering who want to learn tools of real analysis. Assumes a previous course in calculus. Lieb is affiliated with Princeton University. Loss is affiliated with Georgia Institute of Technology. c. Book News Inc.

Handbook of Writing for the Mathematical Sciences

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Publisher : SIAM
ISBN 13 : 0898714206
Total Pages : 304 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Handbook of Writing for the Mathematical Sciences by : Nicholas J. Higham

Download or read book Handbook of Writing for the Mathematical Sciences written by Nicholas J. Higham and published by SIAM. This book was released on 1998-08-01 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nick Higham follows up his successful HWMS volume with this much-anticipated second edition.