Calculus and ODEs

Author: D. B. Pearson

Publisher: Butterworth-Heinemann

ISBN:

Category: Mathematics

Page: 227

View: 373

Professor Pearson's book starts with an introduction to the area and an explanation of the most commonly used functions. It then moves on through differentiation, special functions, derivatives, integrals and onto full differential equations. As with other books in the series the emphasis is on using worked examples and tutorial-based problem solving to gain the confidence of students.

Comprehensive Mathematics for Computer Scientists 2

Calculus and ODEs, Splines, Probability, Fourier and Wavelet Theory, Fractals and Neural Networks, Categories and Lambda Calculus

Author: Guerino Mazzola

Publisher: Springer Science & Business Media

ISBN:

Category: Computers

Page: 355

View: 704

This second volume of a comprehensive tour through mathematical core subjects for computer scientists completes the ?rst volume in two - gards: Part III ?rst adds topology, di?erential, and integral calculus to the t- ics of sets, graphs, algebra, formal logic, machines, and linear geometry, of volume 1. With this spectrum of fundamentals in mathematical e- cation, young professionals should be able to successfully attack more involved subjects, which may be relevant to the computational sciences. In a second regard, the end of part III and part IV add a selection of more advanced topics. In view of the overwhelming variety of mathematical approaches in the computational sciences, any selection, even the most empirical, requires a methodological justi?cation. Our primary criterion has been the search for harmonization and optimization of thematic - versity and logical coherence. This is why we have, for instance, bundled such seemingly distant subjects as recursive constructions, ordinary d- ferential equations, and fractals under the unifying perspective of c- traction theory.

Calculus and Ordinary Differential Equations

Author: David Pearson

Publisher: Elsevier

ISBN:

Category: Mathematics

Page: 240

View: 869

Professor Pearson's book starts with an introduction to the area and an explanation of the most commonly used functions. It then moves on through differentiation, special functions, derivatives, integrals and onto full differential equations. As with other books in the series the emphasis is on using worked examples and tutorial-based problem solving to gain the confidence of students.

Calculus II For Dummies

Author: Mark Zegarelli

Publisher: John Wiley & Sons

ISBN:

Category: Mathematics

Page: 368

View: 844

Vector Calculus

Author: William Cox

Publisher: Butterworth-Heinemann

ISBN:

Category: Mathematics

Page: 256

View: 897

Building on previous texts in the Modular Mathematics series, in particular 'Vectors in Two or Three Dimensions' and 'Calculus and ODEs', this book introduces the student to the concept of vector calculus. It provides an overview of some of the key techniques as well as examining functions of more than one variable, including partial differentiation and multiple integration. Undergraduates who already have a basic understanding of calculus and vectors, will find this text provides tools with which to progress onto further studies; scientists who need an overview of higher order differential equations will find it a useful introduction and basic reference.

Introduction to Stochastic Calculus with Applications

Author: Fima C. Klebaner

Publisher: Imperial College Press

ISBN:

Category: Mathematics

Page: 416

View: 315

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.

Revolutions in Differential Equations

Exploring ODEs with Modern Technology

Author: M. J. Kallaher

Publisher: Cambridge University Press

ISBN:

Category: Mathematics

Page: 89

View: 538

Discusses the direction in which the field of differential equations, and its teaching, is going.

Ordinary Differential Equations

From Calculus to Dynamical Systems

Author: Virginia W. Noonburg

Publisher: Mathematical Association of America (MAA)

ISBN:

Category:

Page: 315

View: 343

The essential tools for analysing ordinary differential equations that undergraduate students in engineering and the applied sciences need to learn.