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Books in Analysis

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11-20 of 42 results in All results

A Course in Real Analysis

  • 2nd Edition
  • January 10, 2012
  • John N. McDonald + 1 more
  • English
  • Hardback
    9 7 8 - 0 - 1 2 - 3 8 7 7 7 4 - 1
Approx.668 pages

Doing Bayesian Data Analysis

  • 1st Edition
  • October 27, 2010
  • John Kruschke
  • English
  • eBook
    9 7 8 - 0 - 1 2 - 3 8 1 4 8 6 - 9
There is an explosion of interest in Bayesian statistics, primarily because recently created computational methods have finally made Bayesian analysis tractable and accessible to a wide audience. Doing Bayesian Data Analysis, A Tutorial Introduction with R and BUGS, is for first year graduate students or advanced undergraduates and provides an accessible approach, as all mathematics is explained intuitively and with concrete examples. It assumes only algebra and ‘rusty’ calculus. Unlike other textbooks, this book begins with the basics, including essential concepts of probability and random sampling. The book gradually climbs all the way to advanced hierarchical modeling methods for realistic data. The text provides complete examples with the R programming language and BUGS software (both freeware), and begins with basic programming examples, working up gradually to complete programs for complex analyses and presentation graphics. These templates can be easily adapted for a large variety of students and their own research needs.The textbook bridges the students from their undergraduate training into modern Bayesian methods.

Advanced Calculus

  • 1st Edition
  • July 15, 2010
  • Joseph B. Dence + 1 more
  • English
  • eBook
    9 7 8 - 0 - 1 2 - 3 8 4 6 9 7 - 6

Advanced Calculus

  • 1st Edition
  • February 4, 2010
  • Joseph B. Dence + 1 more
  • English
  • eBook
    9 7 8 - 0 - 1 2 - 3 8 4 6 9 5 - 2

Advanced Calculus

  • 1st Edition
  • December 2, 2009
  • Thomas P. Dence + 1 more
  • English
  • Hardback
    9 7 8 - 0 - 1 2 - 3 7 4 9 5 5 - 0
  • eBook
    9 7 8 - 0 - 0 8 - 0 9 5 9 3 2 - 0
Advanced Calculus explores the theory of calculus and highlights the connections between calculus and real analysis – providing a mathematically sophisticated introduction to functional analytical concepts. The text is interesting to read and includes many illustrative worked-out examples and instructive exercises, and precise historical notes to aid in further exploration of calculus. It covers exponential function, and the development of trigonometric functions from the integral. The text is designed for a one-semester advanced calculus course for advanced undergraduates or graduate students.

Quantum Mechanics of Non-Hamiltonian and Dissipative Systems

  • 1st Edition
  • Volume 7
  • May 8, 2008
  • Vasily Tarasov
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 5 9 7 1 - 1
Quantum Mechanics of Non-Hamiltonian and Dissipative Systems is self-contained and can be used by students without a previous course in modern mathematics and physics. The book describes the modern structure of the theory, and covers the fundamental results of last 15 years. The book has been recommended by Russian Ministry of Education as the textbook for graduate students and has been used for graduate student lectures from 1998 to 2006.

Practical Data Analysis in Chemistry

  • 1st Edition
  • Volume 26
  • August 10, 2007
  • Marcel Maeder + 1 more
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 4 8 8 3 - 8
The majority of modern instruments are computerised and provide incredible amounts of data. Methods that take advantage of the flood of data are now available; importantly they do not emulate 'graph paper analyses' on the computer. Modern computational methods are able to give us insights into data, but analysis or data fitting in chemistry requires the quantitative understanding of chemical processes. The results of this analysis allows the modelling and prediction of processes under new conditions, therefore saving on extensive experimentation. Practical Data Analysis in Chemistry exemplifies every aspect of theory applicable to data analysis using a short program in a Matlab or Excel spreadsheet, enabling the reader to study the programs, play with them and observe what happens. Suitable data are generated for each example in short routines, this ensuring a clear understanding of the data structure. Chapter 2 includes a brief introduction to matrix algebra and its implementation in Matlab and Excel while Chapter 3 covers the theory required for the modelling of chemical processes. This is followed by an introduction to linear and non-linear least-squares fitting, each demonstrated with typical applications. Finally Chapter 5 comprises a collection of several methods for model-free data analyses.

Measure Theory

  • 1st Edition
  • November 20, 2006
  • Carlos S Kubrusly
  • English
  • Hardback
    9 7 8 - 0 - 1 2 - 3 7 0 8 9 9 - 1
This contemporary first course focuses on concepts and ideas of Measure Theory, highlighting the theoretical side of the subject. Its primary intention is to introduce Measure Theory to a new generation of students, whether in mathematics or in one of the sciences, by offering them on the one hand a text with complete, rigorous and detailed proofs--sketchy proofs have been a perpetual complaint, as demonstrated in the many Amazon reader reviews critical of authors who "omit 'trivial' steps" and "make not-so-obvious 'it is obvious' remarks." On the other hand, Kubrusly offers a unique collection of fully hinted problems. On the other hand, Kubrusly offers a unique collection of fully hinted problems. The author invites the readers to take an active part in the theory construction, thereby offering them a real chance to acquire a firmer grasp on the theory they helped to build. These problems, at the end of each chapter, comprise complements and extensions of the theory, further examples and counterexamples, or auxiliary results. They are an integral part of the main text, which sets them apart from the traditional classroom or homework exercises.JARGON BUSTER:measure theoryMeasure theory investigates the conditions under which integration can take place. It considers various ways in which the "size" of a set can be estimated.This topic is studied in pure mathematics programs but the theory is also foundational for students of statistics and probability, engineering, and financial engineering.

Real Analysis with an Introduction to Wavelets and Applications

  • 1st Edition
  • December 14, 2004
  • Don Hong + 2 more
  • English
  • Hardback
    9 7 8 - 0 - 1 2 - 3 5 4 8 6 1 - 0
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 4 0 3 1 - 3
Real Analysis with an Introduction to Wavelets and Applications is an in-depth look at real analysis and its applications, including an introduction to wavelet analysis, a popular topic in "applied real analysis". This text makes a very natural connection between the classic pure analysis and the applied topics, including measure theory, Lebesgue Integral, harmonic analysis and wavelet theory with many associated applications.

Working Analysis

  • 1st Edition
  • September 21, 2004
  • Jeffery Cooper
  • English
  • Hardback
    9 7 8 - 0 - 1 2 - 1 8 7 6 0 4 - 3
Working Analysis is for a two semester course in advanced calculus. It develops the basic ideas of calculus rigorously but with an eye to showing how mathematics connects with other areas of science and engineering. In particular, effective numerical computation is developed as an important aspect of mathematical analysis.