Mathematical Analysis 95

In the mathematical subfield of numerical analysis, interpolation is a procedure that assists in "reading between the lines" in a set of tables by constructing new data points from existing points. ……続きを見る

Numerical analysis is a subject of extreme interest to mathematicians and computer scientists, who will welcome this first inexpensive paperback edition of a groundbreaking classic text on the subje……続きを見る

Students learn how to read and write proofs by actually reading and writing them, asserts author Joseph J. Rotman, adding that merely reading about mathematics is no substitute for doing mathematics……続きを見る

Designed for students familiar with abstract mathematical concepts but possessing little knowledge of physics, this text focuses on generality and careful formulation rather than problem-solving. It……続きを見る

"Kline is a first-class teacher and an able writer. . . . This is an enlarging and a brilliant book." ー Scientific American "Dr. Morris Kline has succeeded brilliantly in explaining the nature of m……続きを見る

If you've ever tried to solve mathematical problems without any idea how to go about it, this book is for you. It will improve your ability to solve all kinds of mathematical problems whether in mat……続きを見る

From ancient Greek mathematics to 20th-century quantum theory, paradoxes, fallacies and other intellectual inconsistencies have long puzzled and intrigued the mind of man. This stimulating, thought-……続きを見る

In this age of omnipresent digital computers and their capacity for implementing numerical methods, no applied mathematician, physical scientist, or engineer can be considered properly trained witho……続きを見る

The ultimate aim of the field of numerical analysis is to provide convenient methods for obtaining useful solutions to mathematical problems and for extracting useful information from available solu……続きを見る

Over 1,100 common series, all grouped for easy reference. Arranged by category, these series include arithmetical and geometrical progressions, powers and products of natural numbers, figurate and p……続きを見る

Originally published over a century ago, this work remains among the most useful and practical expositions of Fourier's series, and spherical, cylindrical, and ellipsoidal harmonics. The subsequent ……続きを見る

Developed for an introductory course in mathematical analysis at MIT, this text focuses on concepts, principles, and methods. Its introductions to real and complex analysis are closely formulated, a……続きを見る

This self-contained treatment offers a systematic development of the theory of iterative methods. Its focal point resides in an analysis of the convergence properties of the successive overrelaxatio……続きを見る

"Substantial, detailed and rigorous . . . readers for whom the book is intended are admirably served." ー MathSciNet (Mathematical Reviews on the Web), American Mathematical Society. Practical text ……続きを見る

This text offers upper-level undergraduates and graduate students a survey of practical elements of real function theory, general topology, and functional analysis. Beginning with a brief discussion……続きを見る

Appropriate for undergraduate and graduate students, this text features independent sections that illustrate the most important principles of mathematical modeling, a variety of applications, and cl……続きを見る

"A reader looking for interesting problems tackled often by highly original methods, for precise results fully proved, and for procedures fully motivated, will be delighted." ー Mathematical Reviews……続きを見る

In studies of general operators of the same nature, general convolution transforms are immediately encountered as the objects of inversion. The relation between differential operators and integral t……続きを見る

A clear, self-contained treatment of important areas in complex analysis, this text is geared toward upper-level undergraduates and graduate students. The material is largely classical, with particu……続きを見る

This incisive text deftly combines both theory and practical example to introduce and explore Fourier series and orthogonal functions and applications of the Fourier method to the solution of bounda……続きを見る

Geared toward undergraduate mathematics majors, engineering students, and future high school mathematics teachers, this text offers an understanding of the principles involved in numerical analysis.……続きを見る

Here is a presentation of elementary mathematics that anyone can appreciate, especially those with imagination. As the title suggests, the author's technique relies on visual elements, and his appro……続きを見る

Originally published in 1908, this classic calculus text transformed university teaching and remains a must-read for all students of introductory mathematical analysis. Clear, rigorous explanations ……続きを見る

In this famous monograph, a distinguished mathematician presents an innovative approach to classical boundary value problems ー one that may be used by mathematicians as well as by theoreticians in ……続きを見る

This well-written text provides excellent instruction in basic real analysis, giving a solid foundation for direct entry into advanced work in such fields as complex analysis, differential equations……続きを見る

Written by a master mathematical expositor, this classic text reflects the results of the intense period of research and development in the area of Fourier analysis in the decade preceding its first……続きを見る

Based on a series of lectures given by I. M. Gelfand at Moscow State University, this book actually goes considerably beyond the material presented in the lectures. The aim is to give a treatment of……続きを見る

This graduate-level text examines the practical use of iterative methods in solving large, sparse systems of linear algebraic equations and in resolving multidimensional boundary-value problems. Ass……続きを見る

Dieses Übungsbuch wurde als Begleittext zu dem Buch „Mathematik für Ambitionierte – Zählen, Rechnen, Messen als Basis für alles Weitere" geschrieben, kann aber auch dann nutzbringend verwendet werde……続きを見る

Das Buch basiert auf einer Vorlesung zur asymptotischen Analysis, die der Autor mehrfach an der Universität Stuttgart gehalten hat. Esrichtet sich dabei sowohl an Studierende, die asymptotische Meth……続きを見る