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 #  AuthorTitleAccn#YearItem Type Claims
1 David Applebaum Limits, limits everywhere: The Tools of Mathematical Analysis 024638 2012 Book  
2 Hongwei Chen Excursions in classical analysis: Pathways to advanced problem solving and undergraduate research 024078 2010 Book  
3 BRANNAN, DAVID ALEXANDER First course in mathematical analysis 021066 2006 Book  
4 Peter Walker Examples and theorems in analysis 020194 2004 Book  
5 Vladimir A. Zorich Mathematical analysis I 019918 2004 Book  
6 Vladimir A. Zorich Mathematical analysis II 019919 2004 Book  
7 T. J. I. Bromwich Introduction to the theory of infinite series 019406 1926 Book  
8 E.T. Whittaker Course of modern analysis: An introduction to the general theory of infinite processes and of analytic functions; with an accoun 008685 1947 Book  
9 Konrad Knopp Theory and application of infinite series 004136 1990 Book  
10 Chiang C. Mei Mathematical analysis in engineering: How to use the basic tools 012604 1995 Book  
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TitleLimits, limits everywhere: The Tools of Mathematical Analysis
Author(s)David Applebaum
PublicationOxford, Oxford University Press, 2012.
Descriptionxv, 200p.
Abstract NoteA quantity can be made smaller and smaller without it ever vanishing. This fact has profound consequences for science, technology, and even the way we think about numbers. In this book, we will explore this idea by moving at an easy pace through an account of elementary real analysis and, in particular, will focus on numbers, sequences, and series. Almost all textbooks on introductory analysis assume some background in calculus. This book doesn't and, instead, the emphasis is on the application of analysis to number theory. The book is split into two parts. Part 1 follows a standard university course on analysis and each chapter closes with a set of exercises. Here, numbers, inequalities, convergence of sequences, and infinite series are all covered. Part 2 contains a selection of more unusual topics that aren't usually found in books of this type. It includes proofs of the irrationality of e and pi, continued fractions, an introduction to the Riemann zeta function, Cantor's theory of the infinite, and Dedekind cuts. There is also a survey of what analysis can do for the calculus and a brief history of the subject.
ISBN,Price9780199640089 : UKP 19.99(PB)
Classification517
Keyword(s)1. CONTINUED FRACTIONS 2. CONTOR THEORY 3. CONVERGENCE OF SEQUENCES 4. INEQUALITY 5. INFINITE SERIES 6. LIMIT 7. NUMBERS 8. RIEMANN ZETA FUNCTION
Item TypeBook

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024638   APP/024638  On Shelf    

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TitleExcursions in classical analysis: Pathways to advanced problem solving and undergraduate research
Author(s)Hongwei Chen
PublicationWashington, Mathematical Association of America, 2010.
Descriptionxiii, 301p.
Abstract NoteExcursions in Classical Analysis will introduce students to advanced problem solving and undergraduate research in two ways: it will provide a tour of classical analysis, showcasing a wide variety of problems that are placed in historical context, and it will help students gain mastery of mathematical discovery and proof. The author presents a variety of solutions for the problems in the book. Some solutions reach back to the work of mathematicians like Leonhard Euler while others connect to other beautiful parts of mathematics. Readers will frequently see problems solved by using an idea that might at first glance, not even seem to apply to that problem. Other solutions employ a specific technique that can be used to solve many different kinds of problems. Excursions emphasizes the rich and elegant interplay between continuous and discrete mathematics by applying induction, recursion, and combinatorics to traditional problems in classical analysis. The carefully selected assortment of problems presented at the end of the chapters includes 22 Putnam problems, 50 MAA Monthly problems, and 14 open problems. These problems are not related to the chapter topics, but connect naturally to other problems and even serve as introductions to other areas of mathematics. The book will be useful in students' preparations for mathematics competitions, in undergraduate reading courses and seminars, and in analysis courses as a supplement. The book is also ideal for self study, since the chapters are independent of one another and may be read in any order.
ISBN,Price9780883857687 : UKP 36.50(HB)
Classification517
Keyword(s)1. ALALYSIS 2. COMBINATORICS 3. EXCURSION 4. INDUCTION 5. RECURSION
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
024078   517/CHE/024078  On Shelf    

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TitleFirst course in mathematical analysis
Author(s)David Alexander Brannan
PublicationCambridge, Cambridge University Press, 2006.
Description459p.
ISBN,Price0521684242 : US $44.50
Classification517
Keyword(s)MATHEMATICAL ANALYSIS
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
021066   517/BRA/021066  On Shelf    

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TitleExamples and theorems in analysis
Author(s)Peter Walker
PublicationLondon, Springer, 2004.
Descriptionx, 287p.
ISBN,Price1852334932 : Euro 34.95
Classification517
Keyword(s)1. ANALYSIS 2. DIFFERENTIATION 3. EBOOK 4. EBOOK - SPRINGER 5. FOURIER SERIES 6. FUNCTIONS 7. INTEGRATION 8. SERIES
Item TypeBook
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Accession#  Call#StatusIssued ToReturn Due On Physical Location
020194   517/WAL/020194  On Shelf    
I12022   517/WAL/  On Shelf    

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TitleMathematical analysis I
Author(s)Vladimir A. Zorich
PublicationBerlin, Springer-Verlag, 2004.
Descriptionxviii, 574p.
Contents NoteThis volume constitutes a complete course on one-variable calculus along with the multivariable differential calculus.
ISBN,Price3540403868 : Euro 49.95
Classification517
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. MATHEMATICAL ANALYSIS 4. ONE REAL VARIABLE - DIFFERENTIAL CALCULUS
Item TypeBook
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Accession#  Call#StatusIssued ToReturn Due On Physical Location
019918   517/ZOR/019918  On Shelf    
I12084   517/ZOR/  On Shelf    

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TitleMathematical analysis II
Author(s)Vladimir A. Zorich
PublicationBerlin, Springer, 2004.
Descriptionxv, 681p.
Contents NoteThe chapters with which this book begins, summarize and explain in a general form essentially all most important results of the first volume concerning continuous and differentiable functions, as well as differential calculus. This volume contains both, the differential calculus in its generalized form and integral calculus of functions of several variables, developed up to the general formula of Newton-Leibniz-Stokes.
ISBN,Price3540406336 : Euro 49.95
Classification517
Keyword(s)1. DIFFERENTIAL CALCULUS 2. EBOOK 3. EBOOK - SPRINGER 4. MATHEMATICAL ANALYSIS
Item TypeBook
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Accession#  Call#StatusIssued ToReturn Due On Physical Location
019919   517/ZOR/019919  On Shelf    
I12085   517/ZOR/  On Shelf    

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TitleIntroduction to the theory of infinite series
Author(s)T. J. I. Bromwich;T. M. Macrobert
PublicationLondon, Munn and Co., Inc., 1926.
Descriptionxv, 535p.
ISBN,PriceUS $ 34.00
Classification517
Keyword(s)1. ASYMPTOTIC SERIES 2. COMPLEX SERIES 3. INFINITE SERIES 4. LINEAR DIFFERENTIAL EQUATIONS 5. SERIES
Item TypeBook
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Accession#  Call#StatusIssued ToReturn Due On Physical Location
019406   517 BRO/019406  On Shelf    

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TitleCourse of modern analysis: An introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions
Author(s)E.T. Whittaker;G.N. Watson
PublicationCambridge, Cambridge University Press, 1947.
Description608pp.
Classification517
Keyword(s)ANALYSIS
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
008685   517/WHI/008685  On Shelf    
019831   517/WHI/019831  On Shelf    

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TitleTheory and application of infinite series
Author(s)Konrad Knopp;R.C.H. Young (tr.)
PublicationNew York, Dover Publications, Inc., 1990.
Descriptionxii,563pp.
Classification517
Keyword(s)INFINITE SERIES
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
004136   517/KNO/004136  On Shelf    
019609   517/KNO/019609  On Shelf    

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TitleMathematical analysis in engineering: How to use the basic tools
Author(s)Chiang C. Mei
PublicationCambridge, Cambridge University Press, 1995.
Descriptionxvii, 461pp.
ISBN,Price0-521-46053-0
Classification517
Keyword(s)1. APPLIED MATHEMATICS 2. ENGINEERING MATHEMATICS 3. MATHEMATICAL ANALYSIS
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
012604   517/MEI/012604  On Shelf    

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