Elementary Calculus
Author | : H. Jerome Keisler |
Publisher | : |
Total Pages | : 968 |
Release | : 1976 |
Genre | : Mathematics |
ISBN | : |
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Author | : H. Jerome Keisler |
Publisher | : |
Total Pages | : 968 |
Release | : 1976 |
Genre | : Mathematics |
ISBN | : |
Author | : Kenneth A. Ross |
Publisher | : CUP Archive |
Total Pages | : 192 |
Release | : 2014-01-15 |
Genre | : Mathematics |
ISBN | : |
Author | : H. Jerome Keisler |
Publisher | : Orange Groove Books |
Total Pages | : 992 |
Release | : 2009-09-01 |
Genre | : Mathematics |
ISBN | : 9781616100315 |
Author | : H. Jerome Keisler |
Publisher | : Courier Corporation |
Total Pages | : 1012 |
Release | : 2012-01-01 |
Genre | : Mathematics |
ISBN | : 0486484521 |
This first-year calculus book is centered around the use of infinitesimals. It contains all the ordinary calculus topics, including the basic concepts of the derivative, continuity, and the integral, plus traditional limit concepts and approximation problems. Additional subjects include transcendental functions, series, vectors, partial derivatives, and multiple integrals. 2007 edition.
Author | : A. J. Roberts |
Publisher | : SIAM |
Total Pages | : 143 |
Release | : 2009-01-01 |
Genre | : Mathematics |
ISBN | : 0898718228 |
Financial mathematics and its calculus introduced in an accessible manner for undergraduate students. Topics covered include financial indices as stochastic processes, Ito's stochastic calculus, the Fokker-Planck Equation and extra MATLAB/SCILAB code.
Author | : Thomas Mikosch |
Publisher | : World Scientific |
Total Pages | : 230 |
Release | : 1998 |
Genre | : Mathematics |
ISBN | : 9789810235437 |
Modelling with the Ito integral or stochastic differential equations has become increasingly important in various applied fields, including physics, biology, chemistry and finance. However, stochastic calculus is based on a deep mathematical theory. This book is suitable for the reader without a deep mathematical background. It gives an elementary introduction to that area of probability theory, without burdening the reader with a great deal of measure theory. Applications are taken from stochastic finance. In particular, the Black -- Scholes option pricing formula is derived. The book can serve as a text for a course on stochastic calculus for non-mathematicians or as elementary reading material for anyone who wants to learn about Ito calculus and/or stochastic finance.
Author | : Dan Kalman |
Publisher | : American Mathematical Soc. |
Total Pages | : 509 |
Release | : 2019-08-02 |
Genre | : Mathematical analysis |
ISBN | : 1470450011 |
Elementary Mathematical Models offers instructors an alternative to standard college algebra, quantitative literacy, and liberal arts mathematics courses. Presuming only a background of exposure to high school algebra, the text introduces students to the methodology of mathematical modeling, which plays a role in nearly all real applications of mathematics. A course based on this text would have as its primary goal preparing students to be competent consumers of mathematical modeling in their future studies. Such a course would also provide students with an understanding of the modeling process and a facility with much of the standard, non-trigonometric, content of college algebra and precalculus. This book builds, successively, a series of growth models defined in terms of simple recursive patterns of change corresponding to arithmetic, quadratic, geometric, and logistic growth. Students discover and come to understand linear, polynomial, exponential, and logarithmic functions in the context of analyzing these models of intrinsically—and scientifically—interesting phenomena including polar ice extent, antibiotic resistance, and viral internet videos. Students gain a deep appreciation for the power and limitations of mathematical modeling in the physical, life, and social sciences as questions of modeling methodology are carefully and constantly addressed. Realistic examples are used consistently throughout the text, and every topic is illustrated with models that are constructed from and compared to real data. The text is extremely attractive and the exposition is extraordinarily clear. The lead author of this text is the recipient of nine MAA awards for expository writing including the Ford, Evans, Pólya, and Allendoerfer awards and the Beckenbach Book prize. Great care has been taken by accomplished expositors to make the book readable by students. Those students will also benefit from more than 1,000 carefully crafted exercises.
Author | : Fima C. Klebaner |
Publisher | : Imperial College Press |
Total Pages | : 431 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 1860945554 |
This book presents a concise treatment of stochastic calculus and its applications. It gives a simple but rigorous treatment of the subject including a range of advanced topics, it is useful for practitioners who use advanced theoretical results. It covers advanced applications, such as models in mathematical finance, biology and engineering.Self-contained and unified in presentation, the book contains many solved examples and exercises. It may be used as a textbook by advanced undergraduates and graduate students in stochastic calculus and financial mathematics. It is also suitable for practitioners who wish to gain an understanding or working knowledge of the subject. For mathematicians, this book could be a first text on stochastic calculus; it is good companion to more advanced texts by a way of examples and exercises. For people from other fields, it provides a way to gain a working knowledge of stochastic calculus. It shows all readers the applications of stochastic calculus methods and takes readers to the technical level required in research and sophisticated modelling.This second edition contains a new chapter on bonds, interest rates and their options. New materials include more worked out examples in all chapters, best estimators, more results on change of time, change of measure, random measures, new results on exotic options, FX options, stochastic and implied volatility, models of the age-dependent branching process and the stochastic Lotka-Volterra model in biology, non-linear filtering in engineering and five new figures.Instructors can obtain slides of the text from the author.
Author | : Noah Bryan Rosenberger |
Publisher | : |
Total Pages | : 100 |
Release | : 1921 |
Genre | : |
ISBN | : |
Author | : Noah Bryan Rosenberger |
Publisher | : |
Total Pages | : 98 |
Release | : 1921 |
Genre | : Calculus |
ISBN | : |