Applied Mathematics

Applied Mathematics

Author: C. C. (Constantin C.) Maican

Publisher: Mississauga, Ont. : C.C. Maican

Published: 1999-01-01

Total Pages: 318

ISBN-13: 9780969685517

DOWNLOAD EBOOK


Special Techniques For Solving Integrals: Examples And Problems

Special Techniques For Solving Integrals: Examples And Problems

Author: Khristo N Boyadzhiev

Publisher: World Scientific

Published: 2021-12-10

Total Pages: 401

ISBN-13: 9811235775

DOWNLOAD EBOOK

This volume contains techniques of integration which are not found in standard calculus and advanced calculus books. It can be considered as a map to explore many classical approaches to evaluate integrals. It is intended for students and professionals who need to solve integrals or like to solve integrals and yearn to learn more about the various methods they could apply. Undergraduate and graduate students whose studies include mathematical analysis or mathematical physics will strongly benefit from this material. Mathematicians involved in research and teaching in areas related to calculus, advanced calculus and real analysis will find it invaluable.The volume contains numerous solved examples and problems for the reader. These examples can be used in classwork or for home assignments, as well as a supplement to student projects and student research.


Introductory Mathematical Analysis for Quantitative Finance

Introductory Mathematical Analysis for Quantitative Finance

Author: Daniele Ritelli

Publisher: CRC Press

Published: 2020-04-13

Total Pages: 252

ISBN-13: 1351245090

DOWNLOAD EBOOK

Introductory Mathematical Analysis for Quantitative Finance is a textbook designed to enable students with little knowledge of mathematical analysis to fully engage with modern quantitative finance. A basic understanding of dimensional Calculus and Linear Algebra is assumed. The exposition of the topics is as concise as possible, since the chapters are intended to represent a preliminary contact with the mathematical concepts used in Quantitative Finance. The aim is that this book can be used as a basis for an intensive one-semester course. Features: Written with applications in mind, and maintaining mathematical rigor. Suitable for undergraduate or master's level students with an Economics or Management background. Complemented with various solved examples and exercises, to support the understanding of the subject.


Mathematical Methods For The Natural And Engineering Sciences (Second Edition)

Mathematical Methods For The Natural And Engineering Sciences (Second Edition)

Author: Ronald E Mickens

Publisher: World Scientific Publishing Company

Published: 2016-12-29

Total Pages: 640

ISBN-13: 9813202726

DOWNLOAD EBOOK

This second edition provides a broad range of methods and concepts required for the analysis and solution of equations which arise in the modeling of phenomena in the natural, engineering, and applied mathematical sciences. It may be used productively by both undergraduate and graduate students, as well as others who wish to learn, understand, and apply these techniques. Detailed discussions are also given for several topics that are not usually included in standard textbooks at this level of presentation: qualitative methods for differential equations, dimensionalization and scaling, elements of asymptotics, difference equations and several perturbation procedures. Further, this second edition includes several new topics covering functional equations, the Lambert-W function, nonstandard sets of periodic functions, and the method of dominant balance. Each chapter contains a large number of worked examples and provides references to the appropriate books and literature.


Mathematical Methods for the Natural and Engineering Sciences

Mathematical Methods for the Natural and Engineering Sciences

Author: Ronald E. Mickens

Publisher: World Scientific

Published: 2004

Total Pages: 544

ISBN-13: 9789812387509

DOWNLOAD EBOOK

This book provides a variety of methods required for the analysis and solution of equations which arise in the modeling of phenomena from the natural and engineering sciences. It can be used productively by both undergraduate and graduate students, as well as others who need to learn and understand these techniques. A detailed discussion is also presented for several topics that are usually not included in standard textbooks at this level: qualitative methods for differential equations, dimensionalization and scaling, elements of asymptotics, difference equations, and various perturbation methods. Each chapter contains a large number of worked examples and provides references to the appropriate literature.


Numerical Methods for Special Functions

Numerical Methods for Special Functions

Author: Amparo Gil

Publisher: SIAM

Published: 2007-01-01

Total Pages: 431

ISBN-13: 9780898717822

DOWNLOAD EBOOK

Special functions arise in many problems of pure and applied mathematics, mathematical statistics, physics, and engineering. This book provides an up-to-date overview of numerical methods for computing special functions and discusses when to use these methods depending on the function and the range of parameters. Not only are standard and simple parameter domains considered, but methods valid for large and complex parameters are described as well. The first part of the book (basic methods) covers convergent and divergent series, Chebyshev expansions, numerical quadrature, and recurrence relations. Its focus is on the computation of special functions; however, it is suitable for general numerical courses. Pseudoalgorithms are given to help students write their own algorithms. In addition to these basic tools, the authors discuss other useful and efficient methods, such as methods for computing zeros of special functions, uniform asymptotic expansions, Padé approximations, and sequence transformations. The book also provides specific algorithms for computing several special functions (like Airy functions and parabolic cylinder functions, among others).