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Click the serial number on the left to view the details of the item. |
| # |
Author | Title | Accn# | Year | Item 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 |
|
|
|
1.
  |
 |
| Title | Limits, limits everywhere: The Tools of Mathematical Analysis |
| Author(s) | David Applebaum |
| Publication | Oxford, Oxford University Press, 2012. |
| Description | xv, 200p. |
| Abstract Note | A 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,Price | 9780199640089 : UKP 19.99(PB) |
| Classification | 517
|
| 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 Type | Book |
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| 024638 |
|
APP/024638 |
On Shelf |
|
|
|
+Copy Specific Information |
2.
 |
|
| Title | Excursions in classical analysis: Pathways to advanced problem solving and undergraduate research |
| Author(s) | Hongwei Chen |
| Publication | Washington, Mathematical Association of America, 2010. |
| Description | xiii, 301p. |
| Abstract Note | Excursions 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,Price | 9780883857687 : UKP 36.50(HB) |
| Classification | 517
|
| Keyword(s) | 1. ALALYSIS
2. COMBINATORICS
3. EXCURSION
4. INDUCTION
5. RECURSION
|
| Item Type | Book |
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| 024078 |
|
517/CHE/024078 |
On Shelf |
|
|
|
+Copy Specific Information | |