Theory and Application of Infinite Series

Author: Konrad Knopp
Publisher: Courier Corporation
ISBN: 9780486318615
Release Date: 2013-04-26
Genre: Mathematics

Unusually clear and interesting classic covers real numbers and sequences, foundations of the theory of infinite series and development of the theory (series of valuable terms, Euler's summation formula, asymptotic expansions, other topics). Includes exercises.

Theory and Application of Infinite Series Scholar s Choice Edition

Author: Konrad Knopp
Publisher:
ISBN: 1297031687
Release Date: 2015-02-15
Genre:

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Elements of the Theory of Functions

Author: Konrad Knopp
Publisher: Courier Dover Publications
ISBN: 9780486165608
Release Date: 2016-10-05
Genre: Mathematics

Well-known book provides a clear, concise review of complex numbers and their geometric representation; linear functions and circular transformations; sets, sequences, and power series; analytic functions and conformal mapping; and elementary functions. 1952 edition.

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.

Mathematical Constants

Author: Steven R. Finch
Publisher: Cambridge University Press
ISBN: 0521818052
Release Date: 2003-08-18
Genre: Mathematics

Steven Finch provides 136 essays, each devoted to a mathematical constant or a class of constants, from the well known to the highly exotic. This book is helpful both to readers seeking information about a specific constant, and to readers who desire a panoramic view of all constants coming from a particular field, for example, combinatorial enumeration or geometric optimization. Unsolved problems appear virtually everywhere as well. This work represents an outstanding scholarly attempt to bring together all significant mathematical constants in one place.

Complex Analysis

Author: Murali Rao
Publisher: World Scientific
ISBN: 9810203756
Release Date: 1991
Genre: Mathematics

This is a rigorous introduction to the theory of complex functions of one complex variable. The authors have made an effort to present some of the deeper and more interesting results, for example, Picard's theorems, Riemann mapping theorem, Runge's theorem in the first few chapters. However, the very basic theory is nevertheless given a thorough treatment so that readers should never feel lost. After the first five chapters, the order may be adapted to suit the course. Each chapter finishes with exercises.

Special Functions Their Applications

Author: N. N. Lebedev
Publisher: Courier Corporation
ISBN: 9780486139890
Release Date: 2012-04-30
Genre: Mathematics

Famous Russian work discusses the application of cylinder functions and spherical harmonics; gamma function; probability integral and related functions; Airy functions; hyper-geometric functions; more. Translated by Richard Silverman.

Infinite Series

Author: Isidore Isaac Hirschman
Publisher: Courier Corporation
ISBN: 9780486798240
Release Date: 2014-08-18
Genre: Mathematics

Text for advanced undergraduate and graduate students examines Taylor series, Fourier series, uniform convergence, power series, and real analytic functions. Appendix covers set and sequence operations and continuous functions. 1962 edition.

Foundations of General Topology

Author: William J. Pervin
Publisher: Academic Press
ISBN: 9781483225159
Release Date: 2014-05-12
Genre: Mathematics

Foundations of General Topology presents the value of careful presentations of proofs and shows the power of abstraction. This book provides a careful treatment of general topology. Organized into 11 chapters, this book begins with an overview of the important notions about cardinal and ordinal numbers. This text then presents the fundamentals of general topology in logical order processing from the most general case of a topological space to the restrictive case of a complete metric space. Other chapters consider a general method for completing a metric space that is applicable to the rationals and present the sufficient conditions for metrizability. This book discusses as well the study of spaces of real-valued continuous functions. The final chapter deals with uniform continuity of functions, which involves finding a distance that satisfies certain requirements for all points of the space simultaneously. This book is a valuable resource for students and research workers.

Mathematics for the Physical Sciences

Author: Herbert S Wilf
Publisher: Courier Corporation
ISBN: 9780486153346
Release Date: 2013-01-18
Genre: Mathematics

Topics include vector spaces and matrices; orthogonal functions; polynomial equations; asymptotic expansions; ordinary differential equations; conformal mapping; and extremum problems. Includes exercises and solutions. 1962 edition.

The Development of Mathematics

Author: E. T. Bell
Publisher: Courier Corporation
ISBN: 9780486152288
Release Date: 2012-09-11
Genre: Mathematics

Time-honored study by a prominent scholar of mathematics traces decisive epochs from the evolution of mathematical ideas in ancient Egypt and Babylonia to major breakthroughs in the 19th and 20th centuries. 1945 edition.

Advanced Calculus

Author: Louis Brand
Publisher: Courier Corporation
ISBN: 9780486157993
Release Date: 2013-10-10
Genre: Mathematics

A course in analysis that focuses on the functions of a real variable, this text introduces the basic concepts in their simplest setting and illustrates its teachings with numerous examples, theorems, and proofs. 1955 edition.

First order Logic

Author: Raymond M. Smullyan
Publisher: Courier Corporation
ISBN: 0486683702
Release Date: 1995
Genre: Mathematics

Considered the best book in the field, this completely self-contained study is both an introduction to quantification theory and an exposition of new results and techniques in "analytic" or "cut free" methods. The focus in on the tableau point of view. Topics include trees, tableau method for propositional logic, Gentzen systems, more. Includes 144 illustrations.

Differential Geometry

Author: Heinrich W. Guggenheimer
Publisher: Courier Corporation
ISBN: 9780486157207
Release Date: 2012-04-27
Genre: Mathematics

This text contains an elementary introduction to continuous groups and differential invariants; an extensive treatment of groups of motions in euclidean, affine, and riemannian geometry; more. Includes exercises and 62 figures.