Concise Numerical Mathematics

Author: Robert Plato
Publisher: American Mathematical Soc.
ISBN: 9780821829530
Release Date: 2003
Genre: Mathematics

This textbook is a concise introduction to the fundamental concepts and methods of numerical mathematics. The author manages to cover the many important topics while avoiding redundancies and using well-chosen examples and exercises. The exposition is supplemented by numerous figures. Work estimates and pseudo codes are provided for many algorithms, which can be easily converted to computer programs. Topics covered include interpolation, the fast Fourier transform, iterative methods for solving systems of linear and nonlinear equations, numerical methods for solving ODEs, numerical methods for matrix eigenvalue problems, approximation theory, and computer arithmetic. The book is suitable as a text for a first course in numerical methods for mathematics students or students in neighboring fields, such as engineering, physics, and computer science. In general, the author assumes only a knowledge of calculus and linear algebra.

Collocation Methods for Volterra Integral and Related Functional Differential Equations

Author: Hermann Brunner
Publisher: Cambridge University Press
ISBN: 0521806151
Release Date: 2004-11-15
Genre: Mathematics

Collocation based on piecewise polynomial approximation represents a powerful class of methods for the numerical solution of initial-value problems for functional differential and integral equations arising in a wide spectrum of applications, including biological and physical phenomena. The present book introduces the reader to the general principles underlying these methods and then describes in detail their convergence properties when applied to ordinary differential equations, functional equations with (Volterra type) memory terms, delay equations, and differential-algebraic and integral-algebraic equations. Each chapter starts with a self-contained introduction to the relevant theory of the class of equations under consideration. Numerous exercises and examples are supplied, along with extensive historical and bibliographical notes utilising the vast annotated reference list of over 1300 items. In sum, Hermann Brunner has written a treatise that can serve as an introduction for students, a guide for users, and a comprehensive resource for experts.

Numerical Methods for Scientists and Engineers

Author: Richard Hamming
Publisher: Courier Corporation
ISBN: 9780486134826
Release Date: 2012-04-25
Genre: Mathematics

This inexpensive paperback edition of a groundbreaking text stresses frequency approach in coverage of algorithms, polynomial approximation, Fourier approximation, exponential approximation, and other topics. Revised and enlarged 2nd edition.

A Concise History of Mathematics

Author: Dirk J. Struik
Publisher: Courier Corporation
ISBN: 9780486138886
Release Date: 2012-06-28
Genre: Science

Compact, well-written survey ranges from the ancient Near East to 20th-century computer theory, covering Archimedes, Pascal, Gauss, Hilbert, and many others. "A work which is unquestionably one of the best." — Nature.

The VNR Concise Encyclopedia of Mathematics

Author: S. Gottwald
Publisher: Springer Science & Business Media
ISBN: 9789401169820
Release Date: 2012-12-06
Genre: Science

It is commonplace that in our time sc:iem:e and technology cannot be mastered without the tools of mathematics; but the same applies to an ever growing extent to many domains of everyday life, not least owing to the spread of cybernetic methods and arguments. As a consequence, there is a wide demand for a survey of the results of mathematics. for an unconventional approach that would also make it possible to fill gaps in one's knowledge. We do not think that a mere juxtaposition of theorems or a collection of formulae would be suitable for this purpose, because this would over· emphasize the symbolic language of signs and letters rather than the mathematical idea, the only thing that really matters. Our task was to describe mathematical interrelations as briefly and precisely as possible. In view of the overwhelming amount of material it goes without saying that we did not just compile details from the numerous text-books for individual branches: what we were aiming at is to smooth out the access to the specialist literature for as many readers as possible. Since well over 700000 copies of the German edition of this book have been sold, we hope to have achieved our difficult goal. Colours are used extensively to help the reader. Important definitions and groups of formulae are on a yellow background, examples on blue, and theorems on red.

Complex Numbers from A to Z

Author: Titu Andreescu
Publisher: Springer Science & Business Media
ISBN: 9780817684150
Release Date: 2014-02-17
Genre: Mathematics

* Learn how complex numbers may be used to solve algebraic equations, as well as their geometric interpretation * Theoretical aspects are augmented with rich exercises and problems at various levels of difficulty * A special feature is a selection of outstanding Olympiad problems solved by employing the methods presented * May serve as an engaging supplemental text for an introductory undergrad course on complex numbers or number theory

A Concise Introduction to Numerical Analysis

Author: A. C. Faul
Publisher: CRC Press
ISBN: 9781498712194
Release Date: 2016-03-23
Genre: Mathematics

This textbook provides an accessible and concise introduction to numerical analysis for upper undergraduate and beginning graduate students from various backgrounds. It was developed from the lecture notes of four successful courses on numerical analysis taught within the MPhil of Scientific Computing at the University of Cambridge. The book is easily accessible, even to those with limited knowledge of mathematics. Students will get a concise, but thorough introduction to numerical analysis. In addition the algorithmic principles are emphasized to encourage a deeper understanding of why an algorithm is suitable, and sometimes unsuitable, for a particular problem. A Concise Introduction to Numerical Analysis strikes a balance between being mathematically comprehensive, but not overwhelming with mathematical detail. In some places where further detail was felt to be out of scope of the book, the reader is referred to further reading. The book uses MATLAB® implementations to demonstrate the workings of the method and thus MATLAB's own implementations are avoided, unless they are used as building blocks of an algorithm. In some cases the listings are printed in the book, but all are available online on the book’s page at www.crcpress.com. Most implementations are in the form of functions returning the outcome of the algorithm. Also, examples for the use of the functions are given. Exercises are included in line with the text where appropriate, and each chapter ends with a selection of revision exercises. Solutions to odd-numbered exercises are also provided on the book’s page at www.crcpress.com. This textbook is also an ideal resource for graduate students coming from other subjects who will use numerical techniques extensively in their graduate studies.

Concise Encyclopedia of Special Education

Author: Cecil R. Reynolds
Publisher: John Wiley and Sons
ISBN: 0471652512
Release Date: 2004-03-25
Genre: Business & Economics

The Concise Encyclopedia of Special Education, Second Edition is a comprehensive resource for those working in the fields of special education research and practice. Featuring reviews of assessment instruments and teaching approaches, legal issues, overviews of specific learning disabilities, dozens of biographies, and more, this complete desk reference is an indispensable guide for professionals, academics, and students alike. Named an American Library Association Top 25 Reference of the Year in its First Edition, The Concise Encyclopedia serves as an important reference for the education of handicapped and other exceptional children. Written and edited by highly regarded and respected experts in the fields of special education and psychology, this authoritative resource guide provides a reference base for educators as well as professionals in the areas of psychology, neuropsychology, medicine, health care, social work and law. Additionally, this acclaimed reference work is essential for administrators, psychologists, diagnosticians, and school counselors, as well as parents of the handicapped themselves. What's new in this edition Comprehensive coverage of new legislation such as Individuals with Disabilities Act (IDEA) and the Americans with Disabilities Act Cultural competence in Special Education, including new material on culturally/linguistically diverse students Many new entries including notable biographies, new service delivery systems, special education laws, new assessment instruments, cross-cultural issues, neuropsychology, and use of the Internet in research and service delivery. Some of the topics covered Academic assessment Achievement tests Addictions Bilingual education Child and adolescent behavior management Counseling with individuals and families with disabilities Early childhood education Gifted education Intelligence tests Mathematics disabilities Psychoeducational methods Rehabilitation Socioeconomic status Special education parent and student rights Traumatic brain injury

Encyclopaedia of Mathematics

Author: Michiel Hazewinkel
Publisher: Springer Science & Business Media
ISBN: 9789400903654
Release Date: 2013-12-01
Genre: Mathematics

This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Mathematics for Computer Science

Author: Eric Lehman
Publisher:
ISBN: 9888407066
Release Date: 2017-03-08
Genre:

This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions.

Matrix Analysis

Author: Rajendra Bhatia
Publisher: Springer Science & Business Media
ISBN: 9781461206538
Release Date: 2013-12-01
Genre: Mathematics

This book presents a substantial part of matrix analysis that is functional analytic in spirit. Topics covered include the theory of majorization, variational principles for eigenvalues, operator monotone and convex functions, and perturbation of matrix functions and matrix inequalities. The book offers several powerful methods and techniques of wide applicability, and it discusses connections with other areas of mathematics.

Mathematical Handbook for Scientists and Engineers

Author: Granino A. Korn
Publisher: Courier Corporation
ISBN: 9780486320236
Release Date: 2013-04-26
Genre: Technology & Engineering

Convenient access to information from every area of mathematics: Fourier transforms, Z transforms, linear and nonlinear programming, calculus of variations, random-process theory, special functions, combinatorial analysis, game theory, much more.

What is Mathematics

Author: Richard Courant
Publisher: Oxford University Press, USA
ISBN: 0195105192
Release Date: 1996
Genre: Mathematics

A discussion of fundamental mathematical principles from algebra to elementary calculus designed to promote constructive mathematical reasoning.

Theory of Complex Functions

Author: Reinhold Remmert
Publisher: Springer Science & Business Media
ISBN: 9781461209393
Release Date: 2012-12-06
Genre: Mathematics

A lively and vivid look at the material from function theory, including the residue calculus, supported by examples and practice exercises throughout. There is also ample discussion of the historical evolution of the theory, biographical sketches of important contributors, and citations - in the original language with their English translation - from their classical works. Yet the book is far from being a mere history of function theory, and even experts will find a few new or long forgotten gems here. Destined to accompany students making their way into this classical area of mathematics, the book offers quick access to the essential results for exam preparation. Teachers and interested mathematicians in finance, industry and science will profit from reading this again and again, and will refer back to it with pleasure.