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Mathematics

Some Favorites from Springer Verlag New York.

Applied Abstract Algebra ISBN:  0387982906
Title:  Applied Abstract Algebra
Author:  Rudolf Lild,Gunter Pilz,F. W. Gehring (Editor),P. R. Halmos (Editor)
Publisher:  Springer-Verlag New York, Incorporated
Date Published:  December 1997
URL:  Applied Abstract Algebra
Format:  Trade Cloth


Laboratories in Mathematical Experimentation ISBN:  0387949224
Title:  Laboratories in Mathematical Experimentation
Author:  Donal O'Shea
Publisher:  Springer-Verlag New York, Incorporated
Date Published:  April 1997
URL:  Laboratories in Mathematical Experimentation
Format:  Trade Paper

Sixteen independent laboratory experiments designed as a bridge course for undergraduates. All but two of the experiments require a computer of programmable calculator.

Winning Solutions ISBN:  0387947434
Title:  Winning Solutions
Author:  Edward Lozansky,Cecil Rousseau
Publisher:  Springer-Verlag New York, Incorporated
Date Published:  September 1996
URL:  Winning Solutions
Format:  Trade Paper

This book is intended to provide students with the appropriate mathematical tools and problem-solving experience to successfully compete in high-level problem solving competitions. In each section, the authors attempt to 'fill in' the appropriate background and then provide the student with a variety of worked examples and exercises to help bridge the gap between what he or she may already know and what is required for high-level competitions. Answers or sketches of the solutions are given for all exercises. The book makes an attempt to introduce each area 'gently' assuming little in the way of prior background - and teach the appropriate techniques, rather than simply providing a compilation of high-level problems.

                          ISBN:  0387982191
Title:  Problem Solving Strategies
Author:  Arthur Engel
Publisher:  Springer-Verlag New York, Incorporated
Date Published:  September 1997
URL:  Problem Solving Strategies
Format:  Trade Paper


                          ISBN:  0387983600
Title:  Multivariable Calculus with Mathematica
Author:  Kevin Robert Coombes,Ronald L. Lipsman,Jonathan M. Rosenberg
Publisher:  Springer-Verlag New York, Incorporated
Date Published:  January 1998
URL:  Multivariable Calculus with Mathematica
Format:  Trade Paper


                          ISBN:  3540634851
Title:  Postmodern Analysis
Author:  Jurgen Jost
Publisher:  Springer-Verlag New York, Incorporated
Date Published:  January 1998
URL:  Postmodern Analysis
Format:  Trade Paper


Ordinary Differential Equatio ISBN:  0387944818
Title:  Ordinary Differential Equation
Author:  A. Gray
Publisher:  Springer-Verlag New York, Incorporated
Date Published:  May 1997
URL:  Ordinary Differential Equation
Format:  Cloth Text

These materials have been developed and thoroughly class tested and are intended for use in courses in differential equations. Prerequisites for these materials are work in the calculus of one variable, though calculus of several variables, and linear algrbra, are recommended. The text covers first and second order equations, power series solutions, first order systems, Laplace transforms, numerical methods and stability of non-linear systems. The authors have also included the solution methods of Bernoulli, Clariaut, and Lagrange. The programs are described in separate s ections,as well as in the accompanying Mathematica notebooks. The book can be read with or without Mathematica and no pre-requisite knowledge of Mathematica is required to use the book. ODE.m enables students to solve differential equations, much as a calculator would. The CD-ROM, in addition to containing ODE.m, also contains the Mathematica solution of worked examples, the Mathematica solution of exercises, a protrait gallery of mathematicians who have contributed to the field of differential equations, a selction of various Mathematica notebooks, Mathematica movies and sample labs for students. Mathematica programs and additional problem/example files will be made available online through the TELOS Web site (www.telospub.com) and the author's dedicated web site: http://math.cl.uh.edu/html/ode/index.html. A multimedia textbook package for a course in ordinary differential equations taught in a conventional lecture class or in a laboratory-based course. The multimedia package consists of a printed textbook, a cross-platform CD-ROM, plus ancillary materials delivered online through the world Web web. The textbook includes hundreds of exercises and worked examples, historical footnotes, rich use of graphics to aid in visualization of solutions, and extensive use of Mathemtiaca for symbolic and numerical techniques. A 400-page solutions manual is available for sites that adopt this package.

                          ISBN:  0387982892
Title:  Numbers and Geometry
Author:  John Stillwell
Publisher:  Springer-Verlag New York, Incorporated
Date Published:  December 1997
URL:  Numbers & Geometry
Format:  Trade Cloth


                          ISBN:  0387976558
Title:  Brownian Motion and Stochastic Calculus
Author:  I. Karatzas,Steven E. Shreve
Publisher:  Springer-Verlag New York, Incorporated
Date Published:  January 1991
URL:  Brownian Motion & Stochastic Calculus
Format:  Trade Cloth

This book is designed as a text for graduate courses in stochastic processes. It is written for readers familiar with measure-theoretic probability and discrete-time processes, who wish to explore stochastic processes in continuous time. The vehicle chosen for this exposition is Brownian motion, which is presented as the canonical example of both a martingale and a Markov process with continuous paths. In this context, the theory of stochastic integration and stochastic calculus is developed. The power of this calculus is illustrated by results concerning representations of martingales and change of measure on Wiener space, and thse in turn permit a presentation of recent advances in financial economics (option pricing and consumption/investment optimization). The book contains a detailed discussion of weak and strong solutions of stochastic differential equations and a study of local time for semimartinggales, with special emphasis on the theory of Brownian local time. The text is complemented by a large number of problems and exercises.

                          ISBN:  0387948392
Title:  Methods of Mathematical Finance
Author:  Ioannis Karatzas,A. V. Balakrishnan
Publisher:  Springer-Verlag New York, Incorporated
Date Published:  September 1998
URL:  Methods of Mathematical Finance
Format:  Trade Cloth


                          ISBN:  354061477X
Title:  Martingale Methods in Finantial Modeling
Author:  Merek Musiela,Marek Rutkowski,M. Yor (Editor),I. Karatzas (Editor)
Publisher:  Springer-Verlag New York, Incorporated
Date Published:  September 1997
URL:  Martingale Methods in Finantial Modeling
Format:  Trade Cloth


                          ISBN:  9813083255
Title:  Mathematical Models of Financial Derivatives
Author:  Yue-Kuen K. Kwok,Y. K. Kwok
Publisher:  Springer-Verlag New York, Incorporated
Date Published:  November 1997
URL:  Mathematical Models of Financial Derivatives
Format:  Trade Cloth


Stochastic Differential Equations: An Introduction with Applications ISBN:  3540637206
Title:  Stochastic Differential Equations: An Introduction with Applications
Author:  Bernt Oksendal
Publisher:  Springer-Verlag New York, Incorporated
Date Published:  July 1998
URL:  Stochastic Differential Equations: An Introduction with Applications
Format:  Trade Paper


DOVER

Mathematics of Classical and Quantum Physics/Two Volumes in One ISBN:  048667164x
Title:  Mathematics of Classical and Quantum Physics/Two Volumes in One
Author:  Frederick W. Bryon,Robert Fuller
Publisher:  Dover Publications, Incorporated
Date Published:  August 1992
URL:  Mathematics of Classical and Quantum Physics/Two Volumes in One
Format:  Trade Paper


Partial Differential Equations of Mathematical Physics and Integral Equations ISBN:  0486688895
Title:  Partial Differential Equations of Mathematical Physics and Integral Equations
Author:  Ronald B. Guenther,John W. Lee
Publisher:  Dover Publications, Incorporated
Date Published:  January 1996
URL:  Partial Differential Equations of Mathematical Physics & Integral Equations
Format:  Trade Paper

A textbook with a rigorous approach.

Others

Introduction to Mathematical Finance: Discrete Time Models ISBN:  1557869456
Title:  Introduction to Mathematical Finance: Discrete Time Models
Author:  Stanley R. Pliska
Publisher:  Blackwell
Date Published:  April 1997
URL:  Introduction to Mathematical Finance: Discrete Time Models
Format:  Trade Cloth