Guide to Analysis

Author: F. Mary Hart
Publisher: Macmillan International Higher Education
ISBN: 1349093904
Category: Applied mathematics
Page: 202
View: 366

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Guide to Analysis aims to minimise the difficulties which arise from the contrast between analysis and sixth form mathematics. It includes historical notes and anecdotes which will help the reader to appreciate how the subject developed to its present form. Plenty of worked and unworked examples, the latter with hints for solution and answers, are also included.

Guide to Analysis

Author: Mary Hart,David Towers
Publisher: Palgrave
ISBN: 9780333794494
Category: Mathematics
Page: 304
View: 984

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This new edition aims to guide undergraduate students through the first year of their mathematics course. It provides a rigorous introduction to Analysis, which takes into account the difficulties students often face when making the transition from A-level mathematics to this higher level. Plenty of examples are provided, some of which have full, detailed solutions, and others which encourage the student to discover and investigate the ideas themselves. Hints are provided, but the book aims to build confidence and understanding in all topics. This second edition has two new substantial chapters, covering integration and powere series, and is updated throughout, taking into account changes in notation.

A Guide to Functional Analysis

Author: Steven G. Krantz
Publisher: MAA
ISBN: 0883853574
Category: Mathematics
Page: 150
View: 6926

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This book is a quick but precise and careful introduction to the subject of functional analysis. It covers the basic topics that can be found in a basic graduate analysis text. But it also covers more sophisticated topics such as spectral theory, convexity, and fixed-point theorems. A special feature of the book is that it contains a great many examples and even some applications. It concludes with a statement and proof of Lomonosov's dramatic result about invariant subspaces.

A Guide to Complex Variables

Author: Steven G. Krantz
Publisher: MAA
ISBN: 9780883853382
Category: Mathematics
Page: 182
View: 1995

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A quick and easy-to-use introduction to the key topics in complex variables, for mathematicians and non-mathematicians alike.

A Student's Guide to Data and Error Analysis

Author: Herman J. C. Berendsen
Publisher: Cambridge University Press
ISBN: 1139497855
Category: Technology & Engineering
Page: N.A
View: 1255

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All students taking laboratory courses within the physical sciences and engineering will benefit from this book, whilst researchers will find it an invaluable reference. This concise, practical guide brings the reader up-to-speed on the proper handling and presentation of scientific data and its inaccuracies. It covers all the vital topics with practical guidelines, computer programs (in Python), and recipes for handling experimental errors and reporting experimental data. In addition to the essentials, it also provides further background material for advanced readers who want to understand how the methods work. Plenty of examples, exercises and solutions are provided to aid and test understanding, whilst useful data, tables and formulas are compiled in a handy section for easy reference.

Reader's Guide to the History of Science

Author: Arne Hessenbruch
Publisher: Taylor & Francis
ISBN: 9781884964299
Category: Science
Page: 934
View: 8120

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"A readers' advisory to the best books on the history of science. Written by 200 international scholars, the 600 comparative essays begin with a bibliography of important works, followed by reviews of those sources in the body of the entry. Important concepts and processes, phenomena, and scientists as well as scientific developments in different countries are covered."--"Outstanding Reference Sources," American Libraries, May 2002.

A Guide to Topology

Author: Steven G. Krantz
Publisher: MAA
ISBN: 9780883853467
Category: Mathematics
Page: 107
View: 1014

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This book is an outline of the core material in the standard graduate-level real analysis course. It is intended as a resource for students in such a course as well as others who wish to learn or review the subject. On the abstract level, it covers the theory of measure and integration and the basics of point set topology, functional analysis, and the most important types of function spaces. On the more concrete level, it also deals with the applications of these general theories to analysis on Euclidean space: the Lebesgue integral, Hausdorff measure, convolutions, Fourier series and transforms, and distributions. The relevant definitions and major theorems are stated in detail. Proofs, however, are generally presented only as sketches, in such a way that the key ideas are explained but the technical details are omitted. In this way a large amount of material is presented in a concise and readable form.

Guide to Mathematical Methods

Author: John Gilbert,Camilla R. Jordan
Publisher: Macmillan International Higher Education
ISBN: 1403914567
Category: Mathematics
Page: 448
View: 2322

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A second edition of this text for science and engineering undergraduates which introduces the mathematical techniques and tools needed to solve the mathematical problems they will face on the first year of their course. Updated and revised by Camilla Jordan, the book now has additional examples and practice your skills sections. As with other titles in the Mathematical Guides series, this book is designed to enable students to acquire confidence and provides a solid foundation for further study

A Guide to Real Variables

Author: Steven G. Krantz
Publisher: MAA
ISBN: 9780883853443
Category: Mathematics
Page: 147
View: 6762

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A Guide to Real Variables is an aid and conceptual support for students taking an undergraduate course on real analysis. It focuses on concepts, results, examples and illustrative figures, rather than the details of proofs, in order to remain a concise guide which students can dip into. The core topics of a first real analysis course are covered, including sequences, series, modes of convergence, the derivative, the integral and metric spaces. The next book in this series, Folland's A Guide to Advanced Real Analysis is designed to naturally follow on from this book, and introduce students to graduate level real analysis. Together these books provide a concise guide to the subject at all levels, ideal for student preparation for exams.

Succeed with Math

Every Student's Guide to Conquering Math Anxiety
Author: Sheila Tobias
Publisher: Macmillan Publishing Company
ISBN: 9780874472592
Category: Reference
Page: 252
View: 6259

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Offers techniques for achieing math competence and demonstrates the importance and application of math skills in business

The ESRI Guide to GIS Analysis: Geographic patterns & relationships

Author: Andy Mitchell,Michael Minami,Environmental Systems Research Institute (Redlands, Calif.)
Publisher: ESRI, Inc.
ISBN: 9781879102064
Category: Science
Page: 186
View: 7007

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How to conduct accurate analysis using powerful GIS software tools.

Resampling Methods

A Practical Guide to Data Analysis
Author: Phillip I. Good
Publisher: Springer Science & Business Media
ISBN: 081764444X
Category: Mathematics
Page: 218
View: 7586

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This thoroughly revised and expanded third edition is a practical guide to data analysis using the bootstrap, cross-validation, and permutation tests. Only requiring minimal mathematics beyond algebra, it provides a table-free introduction to data analysis utilizing numerous exercises, practical data sets, and freely available statistical shareware. New to the third edition are additional program listings and screen shots of C++, CART, Blossom, Box Sampler (an Excel add-in), EViews, MATLAB, R, Resampling Stats, SAS macros, S-Plus, Stata, or StatXact, which accompany each resampling procedure. A glossary and solutions to selected exercises have also been added. With its accessible style and intuitive topic development, the book is an excellent basic resource for the power, simplicity, and versatility of resampling methods. It is an essential resource for statisticians, biostatisticians, statistical consultants, students, and research professionals in the biological, physical, and social sciences, engineering, and technology.

Sensitivity Analysis in Practice

A Guide to Assessing Scientific Models
Author: Andrea Saltelli,Stefano Tarantola,Francesca Campolongo,Marco Ratto
Publisher: John Wiley & Sons
ISBN: 047087094X
Category: Mathematics
Page: 232
View: 3295

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Sensitivity analysis should be considered a pre-requisite for statistical model building in any scientific discipline where modelling takes place. For a non-expert, choosing the method of analysis for their model is complex, and depends on a number of factors. This book guides the non-expert through their problem in order to enable them to choose and apply the most appropriate method. It offers a review of the state-of-the-art in sensitivity analysis, and is suitable for a wide range of practitioners. It is focussed on the use of SIMLAB – a widely distributed freely-available sensitivity analysis software package developed by the authors – for solving problems in sensitivity analysis of statistical models. Other key features: Provides an accessible overview of the current most widely used methods for sensitivity analysis. Opens with a detailed worked example to explain the motivation behind the book. Includes a range of examples to help illustrate the concepts discussed. Focuses on implementation of the methods in the software SIMLAB - a freely-available sensitivity analysis software package developed by the authors. Contains a large number of references to sources for further reading. Authored by the leading authorities on sensitivity analysis.

A Guide to Advanced Linear Algebra

Author: Steven H. Weintraub
Publisher: MAA
ISBN: 0883853515
Category: Mathematics
Page: 251
View: 9405

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Linear algebra occupies a central place in modern mathematics. This book provides a rigorous and thorough development of linear algebra at an advanced level, and is directed at graduate students and professional mathematicians. It approaches linear algebra from an algebraic point of view, but its selection of topics is governed not only for their importance in linear algebra itself, but also for their applications throughout mathematics. Students in algebra, analysis, and topology will find much of interest and use to them, and the careful treatment and breadth of subject matter will make this book a valuable reference for mathematicians throughout their professional lives. Topics treated in this book include: vector spaces and linear transformations; dimension counting and applications; representation of linear transformations by matrices; duality; determinants and their uses; rational and especially Jordan canonical form; bilinear forms; inner product spaces; normal linear transformations and the spectral theorem; and an introduction to matrix groups as Lie groups. The book treats vector spaces in full generality, though it concentrates on the finite dimensional case. Also, it treats vector spaces over arbitrary fields, specializing to algebraically closed fields or to the fields of real and complex numbers as necessary.

Guide to Information Sources in Mathematics and Statistics

Author: Martha A. Tucker,Nancy D. Anderson
Publisher: Libraries Unlimited
ISBN: 9781563087011
Category: Mathematics
Page: 348
View: 2237

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Publisher description: This book is a reference for librarians, mathematicians, and statisticians involved in college and research level mathematics and statistics in the 21st century. Part I is a historical survey of the past 15 years tracking this huge transition in scholarly communications in mathematics. Part II of the book is the bibliography of resources recommended to support the disciplines of mathematics and statistics. These resources are grouped by material type. Publication dates range from the 1800's onwards. Hundreds of electronic resources-some online, both dynamic and static, some in fixed media, are listed among the paper resources. A majority of listed electronic resources are free.

Student’s Guide to Calculus by J. Marsden and A. Weinstein

Author: Frederick H. Soon
Publisher: Springer Science & Business Media
ISBN: 1461249708
Category: Mathematics
Page: 294
View: 6196

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This Student Guide is exceptional, maybe even unique, among such guides in that its author, Fred Soon, was actually a student user of the textbook during one of the years we were writing and debugging the book. (He was one of the best students that year, by the way. ) Because of his background, Fred has taken, in the Guide, the point of view of an experienced student tutor helping you to learn calculus. \~ile we do not always think Fred's jokes are as funny as he does, we appreciate his enthusiasm and his desire to enter into communication with his readers; since we nearly always agree with the mathe matical judgements he has made in explaining the material, we believe that this Guide can serve you as a valuable supplement to our text. To get maximum benefit from this Guide, you should begin by spending a few moments to acquaint yourself with its structure. Once you get started in the course, take advantage of the many opportunities which the text and Student Guide together provide for learning calculus in the only way that any mathe matical subject can truly be mastered - through attempting to solve problems on your own. As you read the text, try doing each example and exercise your self before reading the solution; do the same with the quiz problems provided by Fred.

The Rough Guide to Genes & Cloning

Author: Rough Guides
Publisher: Rough Guides UK
ISBN: 1848362242
Category: Science
Page: 336
View: 7518

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What exactly is a gene? How does cloning actually work? Are designer babies a bad idea? Could we ever clone a human? The Rough Guide To Genes & Cloning answers all these questions and more. From the inside story of cells and their structure and the sleuths who cracked the genetic code to DNA cloning, twins and Dolly the sheep. Illustrated throughout with helpful pictures and diagrams, this Rough Guide turns the microscope on the things that make us what we are.