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Principles of mathematical analysis.

Principles of mathematical analysis. more books like this

by Walter Rudin

The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. The text begins with a discussion of the real number system as a complete ordered field. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background ...

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Introduction to Analysis

Introduction to Analysis more books like this

by Maxwell Rosenlicht

Unusually clear, accessible coverage of set theory, real number system, metric spaces, continuous functions, Riemann integration, multiple integrals, more. Wide range of problems. Written for junior and senior undergraduates. Bibliography.

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An Introduction to Error Analysis

An Introduction to Error Analysis more books like this

by John R Taylor

The need for error analysis is captured in the book's arresting cover shot - of the 1895 Paris train disaster (also available as a wall poster). The early chapters teach elementary techniques of error propagation and statistical analysis to enable students to produce successful lab reports. Later chapters treat a number of more advanced ...

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Analysis with an Introduction to Proof

Analysis with an Introduction to Proof more books like this

by Steven R Lay

For courses in undergraduate Analysis (an easy one) and Transition to Advanced Mathematics. This text helps fill in the groundwork students need to succeed in real analysis--often considered the most difficult course in the undergraduate curriculum. By introducing logic and by emphasizing the structure and nature of the arguments used, Lay helps ...

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Introductory mathematical analysis for business, economics, and the life and social sciences

Introductory mathematical analysis for business, economics, and the life and social sciences more books like this

by Ernest F Haeussler, Jr.

Providing a foundation for the mathematical principles, techniques and applications most useful in business, economics and the life and social sciences, this book covers non-calculus topics such as equations, functions, mathematics of finance, probability, matrix algebra and linear programming. It also discusses single-variable and multivariable ...

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Real and Complex Analysis

Real and Complex Analysis more books like this

by Walter Rudin

This is an advanced text for the one- or two-semester course in analysis taught primarily to math, science, computer science, and electrical engineering majors at the junior, senior or graduate level. The basic techniques and theorems of analysis are presented in such a way that the intimate connections between its various branches are strongly ...

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Numerical Analysis

Numerical Analysis more books like this

by Richard L Burden

This well-respected text gives an introduction to the modern approximation techniques and explains how, why, and when the techniques can be expected to work. The authors focus on building students' intuition to help them understand why the techniques presented work in general, and why, in some situations, they fail. With a wealth of examples and ...

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A Course of Modern Analysis

A Course of Modern Analysis more books like this

by E T Whittaker

This classic text is known to and used by thousands of mathematicians and students of mathematics throughout the world. It gives an introduction to the general theory of infinite processes and of analytic functions together with an account of the principal transcendental functions.

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Understanding Analysis

Understanding Analysis more books like this

by Stephen Abbott

Introduction to the Problems in Analysis outlines an elementary, one semester course which exposes students to both the process of rigor, and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The aim of a course in real analysis should be to challenge and improve mathematical intuition rather than ...

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Numerical Mathematics and Computing

Numerical Mathematics and Computing more books like this

by E W Cheney

This text is designed to teach the basics of numerical analysis to students who need to apply the concepts of numerical computation in their other courses, rather than understand the theoretical basis of the mathematics. Significant changes in this edition include: the change of the FORTRAN code to pseudocode, allowing students to implement the ...

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Real Analysis more books like this

by H. L. Royden

This text is designed for graduate-level courses in real analysis. Real Analysis, Fourth Edition, covers the basic material that every graduate student should know in the classical theory of functions of a real variable, measure and integration theory, and some of the more important and elementary topics in general topology and normed linear space ...

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Introduction to Real Analysis more books like this

by Robert Gardner Bartle, Donald Sherbert

In recent years, mathematics has become valuable in many areas, including economics and management science as well as the physical sciences, engineering and computer science. Therefore, this book provides the fundamental concepts and techniques of real analysis for readers in all of these areas. It helps one develop the ability to think ...

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Counterexamples in analysis more books like this

by Bernard R. Gelbaum, John Meigs Hubbell Olmsted

These counterexamples deal mostly with the part of analysis known as "real variables." The 1st half of the book discusses the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, more. The 2nd half examines functions of 2 variables, plane sets, area, metric and topological spaces, and function ...

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Mathematical Methods for Physics and Engineering: A Comprehensive Guide more books like this

by K F Riley, M P Hobson, S J Bence

The new edition of this highly acclaimed textbook contains several major additions, including more than four hundred new exercises (with hints and answers). To match the mathematical preparation of current senior college and university entrants, the authors have included a preliminary chapter covering areas such as polynomial equations, ...

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Mathematical analysis; a modern approach to advanced calculus. more books like this

by Tom M. Apostol

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Real analysis modern techniques and their applications more books like this

by Folland

An in-depth look at real analysis and its applications-now expanded and revised. This new edition of the widely used analysis book continues to cover real analysis in greater detail and at a more advanced level than most books on the subject. Encompassing several subjects that underlie much of modern analysis, the book focuses on measure and ...

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Introduction to Analysis more books like this

by William R Wade

For one/two-semester, junior/senior-level courses in Advanced Calculus, Analysis I, Real Analysis taken by math majors. The first semester is usually a general requirement; the second semester is often an option for the more motivated students.Designed to challenge advanced students while bringing weaker students up to speed, this text is an ...

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First Course in Mathematical Modeling more books like this

by Frank Giordano, Maurice D Weir

A comprehensive text whose primary purpose is to support an introductory modelling course that bridges the gap between calculus and real-world applications of mathematics. The authors show students how to use fundamental mathematical concepts in a modelling framework to investigate practical problems from many academic disciplines. All phases of ...

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Mathematical Techniques: An Introduction for the Engineering, Physical, and Mathematical Sciences more books like this

by D W Jordan, P Smith

Many students beginning their engineering, science and mathematics courses need a book on mathematical methods. This textbook offers an accessible and comprehensive grounding in many of the mathematical techniques required in the early stages of an engineering or science degree, and also for the routine methods needed by first and second year ...

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An introduction to stochastic modeling more books like this

by Howard M Taylor

Serving as the foundation for a one-semester course in stochastic processes for students familiar with elementary probability theory and calculus, "Introduction to Stochastic Modeling, Third Edition" bridges the gap between basic probability and an intermediate level course in stochastic processes. The objectives of the text are to introduce ...

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The Finite Element Method more books like this

by O. C. Zienkiewicz

This fourth edition has been divided into two volumes. Volume One, published in 1989, introduces the basic finite element approximation concepts and thereafter concentrates on simple linear static computations, which still provide the major part of the finite element usage. Special features of this edition include - work on the patch test; the ...

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Geometric Function Theory: Explorations in Complex Analysis more books like this

by Steven G Krantz

Complex variables is a precise, elegant, and captivating subject. Presented from the point of view of modern work in the field, this new book addresses advanced topics in complex analysis that verge on current areas of research, including invariant geometry, the Bergman metric, the automorphism groups of domains, harmonic measure, boundary ...

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Introduction to Real Analysis more books like this

by Michael J Schramm

This beautifully written text starts with proofs and sets in the first 40 pages and continues in the rest of Parts I and II to maintain an ongoing emphasis on the construction of proofs, demonstrating proper skills through detailed examples using the "forward-backward" method. *One of the texts greatest strengths are the problem sets, which are ...

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Elements of Real Analysis more books like this

by Robert Gardner Bartle

Presents the basic theory of real analysis. The algebraic and order properties of the real number system are presented in a simpler fashion than in the previous edition.

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Arnold's Problems more books like this

by Vladimir I Arnol'd (Editor)

Arnold's Problems contains mathematical problems which have been brought up by Vladimir Arnold in his famous seminar at Moscow State University over several decades. In addition, there are problems published in his numerous papers and books. The invariable peculiarity of these problems was that mathematics was considered not as a game with ...

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