

Click the serial number on the left to view the details of the item. 
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Author  Title  Accn#  Year  Item Type  Claims 
1 
Tom M. Apostol 
New horizons in geometry 
026002 
2012 
Book 

2 
Paul Duchateau 
Schaum's Outline of Partial Differential Equations: 290 fully sovled problems 
025971 
2011 
Book 

3 
Lester L. Helms 
Potential theory 
025889 
2014 
Book 

4 
S. A. Huggett 
Introduction to twistor theory 
025575 
1994 
Book 

5 
James J. Callahan 
Advanced calculus: A geometric view 
023607 
2010 
Book 

6 
Martin Erickson 
Aha! solutions 
023067 
2009 
Book 

7 
William Dunham 
Calculus gallery: Masterpieces from Newton to Lebesgue 
023052 
2006 
Book 

8 
GIAQUINTA, MARIANO 
Mathematical analysis: Functions of one variable 
019355 
2003 
Book 

9 
Schreiber, M. 
Differential forms: A heuristic introduction 
019750 
1977 
Book 

10 
KAPLAN, WILFRED 
Advanced calculus 
019595 
1957 
Book 


3.


Title  Potential theory 
Author(s)  Lester L. Helms 
Edition  2nd. 
Publication  London, Springer, 2014. 
Description  xiv, 485p. 
Series  (Universitext) 
Abstract Note  Potential Theory presents a clear path from calculus to classical potential theory and beyond, with the aim of moving the reader into the area of mathematical research as quickly as possible. The subject matter is developed from first principles using only calculus. Commencing with the inverse square law for gravitational and electromagnetic forces and the divergence theorem, the author develops methods for constructing solutions of Laplace's equation on a region with prescribed values on the boundary of the region.
The latter half of the book addresses more advanced material aimed at those with the background of a senior undergraduate or beginning graduate course in real analysis. Starting with solutions of the Dirichlet problem subject to mixed boundary conditions on the simplest of regions, methods of morphing such solutions onto solutions of Poisson's equation on more general regions are developed using diffeomorphisms and the PerronWienerBrelot method, culminating in application to Brownian motion.
In this new edition, many exercises have been added to reconnect the subject matter to the physical sciences. This book will undoubtedly be useful to graduate students and researchers in mathematics, physics and engineering. 
ISBN,Price  9781447164210 : Euro 59.99(PB) 
Classification  517.956.2

Keyword(s)  1. CALCULUS
2. DIRICHLET PROBLEM
3. GREEN FUNCTION
4. LAPLACE'S EQUATION
5. NEWTONIAN POTENTIAL
6. POTENTIAL THEORY

Item Type  Book 
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
025889 

517.956.2/HEL/025889 
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5.


Title  Advanced calculus: A geometric view 
Author(s)  James J. Callahan 
Publication  New York, Springer, 2010. 
Description  xvi, 526p. 
Abstract Note  With a fresh geometric approach that incorporates more than 250 illustrations, this textbook sets itself apart from all others in advanced calculus. Besides the classical capstonesthe change of variables formula, implicit and inverse function theorems, the integral theorems of Gauss and Stokesthe text treats other important topics in differential analysis, such as Morse's lemma and the PoincarÃ© lemma. The ideas behind most topics can be understood with just two or three variables. This invites geometric visualization; the book incorporates modern computational tools to give visualization real power. Using 2D and 3D graphics, the book offers new insights into fundamental elements of the calculus of differentiable maps, such as the role of the derivative as the local linear approximation to a map and its role in the change of variables formula for multiple integrals. The geometric theme continues with an analysis of the physical meaning of the divergence and the curl at a level of detail not found in other advanced calculus books. Advanced Calculus: A Geometric View is a textbook for undergraduates and graduate students in mathematics, the physical sciences, and economics. Prerequisites are an introduction to linear algebra and multivariable calculus. There is enough material for a yearlong course on advanced calculus and for a variety of semester coursesincluding topics in geometry. It avoids duplicating the material of real analysis. The measured pace of the book, with its extensive examples and illustrations, make it especially suitable for independent study. 
ISBN,Price  9781441973313 : Eur 64.95(HB) 
Classification  517.2

Keyword(s)  1. CALCULUS
2. CRITICAL POINTS
3. DIFFERENTIAL FORMS
4. GREEN'S THEOREM
5. INTEGRALS
6. INVERSE FUNCTION THEOREM
7. LINEAR APPROXIMATION
8. STOKES' THEOREM
9. SURFACE INTEGRALS
10. VARIABLES FORMULA

Item Type  Book 
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
023607 

517.2/CAL/023607 
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6.


Title  Aha! solutions 
Author(s)  Martin Erickson 
Publication  Washington, Mathematical Association of America, 2009. 
Description  xii, 207p. 
Series  (MAA problem books series) 
Abstract Note  This book is a collection of problems with aha! solutions. The problems are at the level of the college mathematics student, but there should be something of interest for the high school student, the teacher of mathematics, the ``math fan,'' and anyone else who loves mathematical challenges.
This collection includes one hundred problems in the areas of arithmetic, geometry, algebra, calculus, probability, number theory, and combinatorics. The problems start out easy and generally get more difficult as you progress through the book. A few solutions require the use of a computer. An important feature of the book is the bonus discussion of related mathematics that follows the solution of each problem. This material is there to entertain and inform you or point you to new questions. If you don't remember a mathematical definition or concept, there is a Toolkit in the back of the book that will help.

ISBN,Price  9780883858295 : UKP 30.00(HB) 
Classification  51

Keyword(s)  1. ALGEBRA
2. ARITHMETIC
3. CALCULUS
4. COMBINATORICS
5. GEOMETRY
6. MATHEMATICS
7. NUMBER THEORY
8. PROBABILITY

Item Type  Book 
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
023067 

51/ERI/023067 
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8.


Title  Mathematical analysis: Functions of one variable 
Author(s)  Mariano Giaquinta;Giuseppe Modica 
Edition  This book is a translation and revised edition of M. Giaquinta, G. Modica, Analisi matematica, I. Funzioni di una variabile, Pitagora Editrice, Bologna 1998 
Publication  Boston, Birkhauser, 2003. 
Description  xii, 347p. 
Contents Note  This selfcontained work in mathematical analysis introduces the main ideas and fundamental methods of the subject, focusing on a simple and direct exposition of differential and integral calculus for functions of one variable with some of its applications. This work is the first step toward developing connections between analysis and other mathematical disciplines, eg. topology and geometry, as well as physics and engineering. 
ISBN,Price  0817643125 : Euro 118.00 
Classification  517:62

Keyword(s)  1. CALCULUS
2. EXERCISES  MATHEMATICAL ANALYSIS
3. MATHEMATICAL ANALYSIS
4. MATHEMATICAL ANALYSIS  EXERCISES
5. ONE REAL VARIABLE  DIFFERENTIAL CALCULUS

Item Type  Book 
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
019355 

517:62/GIA/019355 
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