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Principles of mathematical analysis.
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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
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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
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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
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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
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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
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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
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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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Introduction to MATLAB 7 for Engineers
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by
William J Palm, III
This is a simple, concise book designed to be useful for beginners and to be kept as a reference. MATLAB is presently a globally available standard computational tool for engineers and scientists. The terminology, syntax, and the use of the programming language are well defined and the organization of the material makes it easy to locate ...
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A Course of Modern Analysis
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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
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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
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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
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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
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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
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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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An Introduction to Error Analysis: The Study of Uncertainties in Physical Measurements
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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 of Financial Time Series
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by
Ruey S Tsay
Fundamental topics and new methods in time series analysis Analysis of Financial Time Series provides a comprehensive and systematic introduction to financial econometric models and their application to modeling and prediction of financial time series data. It utilizes real--world examples and real financial data throughout the book to apply the ...
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Mathematical Methods for Physics and Engineering: A Comprehensive Guide
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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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Real analysis modern techniques and their applications
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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
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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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Signals, Systems, and Transforms
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by
Charles L Phillips, John M Parr
For sophomore/junior-level signals and systems courses in Electrical and Computer Engineering departments. This text provides a clear, comprehensive presentation of both the theory and applications in signals, systems, and transforms. It presents the mathematical background of signals and systems, including the Fourier transform, the Fourier ...
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First Course in Mathematical Modeling
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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
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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
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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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Schaum's Outlines of Discrete Mathematics
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by
Seymour Lipschutz, Ph.D., Marc Lipson
Discrete mathematics becomes more and more important as the digital age goes forward. This newly revised third edition updates all areas of the subject.
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The Finite Element Method
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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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