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The preface argues that the scale of sequencing data makes quantitative guidance essential and explains why bioinformatics differs from the narrower field of computational sequence analysis. It highlights key mathematical ideas behind problems such as protein folding, evolutionary modeling, and microarray data analysis, and describes the author’s motivation to develop a mathematically rigorous textbook based on courses taught at the Australian National University.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":15,"@type":76,"position":81},"https://docshare.wps.com/document/literature/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/introduction-to-mathematical-methods-in-bioinformatics-book-preface/326539/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/introduction-to-mathematical-methods-in-bioinformatics-book-preface/326539.png","ImageObject",300,407,{"name":92,"@type":93},"Hazel","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-23","2026-09-21",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How does the book define bioinformatics?","Question",{"text":112,"@type":113},"Bioinformatics is defined as a collection of mathematical, statistical, and computational methods for analyzing biological sequences such as DNA, RNA, and amino acid (protein) sequences.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Why does the preface distinguish bioinformatics from computational sequence analysis?",{"text":117,"@type":113},"Bioinformatics increasingly requires deep mathematical and statistical ideas beyond computation alone, whereas computational sequence analysis is described as somewhat narrower.",{"name":119,"@type":110,"acceptedAnswer":120},"What issue does the author identify with existing bioinformatics education?",{"text":121,"@type":113},"The preface notes that many courses emphasize algorithms and software implementation without revealing the mathematical principles behind models, leaving students unable to understand assumptions, limitations, and correct interpretation of results.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},326539,1791013226,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":14,"category_name":15,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":39,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145},137441390410,"https://ap-avatar.wpscdn.com/avatar/2000252f4ab5702993?_k=1776741390130283984","Alexander Isaev  \nIntroduction to Mathematical Methods in Bioinformatics  \nWith 76 Figures and 3 Tables  \nAlexander Isaev  \nAustralian National University Department of Mathematics Canberra, ACT 0200 Australia  \n[e-mail:](e-mail: alexander.isaev@maths.anu.edu.au)[ alexander.isaev@maths.anu.edu.au](e-mail: alexander.isaev@maths.anu.edu.au)  \nCorrected Second Printing 2006  \nMathematics Subject Classification (2000): 91-01 (Primary)  \n91D20 (Secondary)  \nLibrary of Congress Control Number: 2006930998  \nISBN: 3-540-21973-0  \nISBN: 9783540219736  \nThis work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable for prosecution under the German Copyright Law.  \nSpringer is a part of Springer Science+Business Media [springer.com](springer.com)  \nSpringer-Verlag Berlin Heidelberg 2006  \nThe use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use.  \nCover design: Erich Kirchner, Heidelberg  \nTypesetting by the author and SPi using a Springer LATEX macro package Printed on acid-free paper: SPIN:11809142 41/2141/SPi-543210  \nTo Esya and Masha  \nPreface  \nBroadly speaking, Bioinformatics can be defined as a collection of mathematical, statistical and computational methods for analyzing biological sequences, that is, DNA, RNA and amino acid (protein) sequences. Numerous projects for sequencing the DNA of particular organisms constantly supply new amounts of data on an astronomical scale, and it would not be realistic to expect that biologists will ever be able to make sense of it without resorting to help from more quantitative disciplines.  \nMany studies in molecular biology require performing specific computational procedures on given sequence data, for example, simply organizing the data conveniently, and therefore analysis of biological sequences is often viewed as part of computational science. As a result, bioinformatics is frequently confused with computational sequence analysis, which is somewhat narrower. However, understanding biological sequences now increasingly requires profound ideas beyond computational science, specifically, mathematical and statistical ideas. For example, the protein folding problem incorporates serious differential geometry and topology; understanding the evolution of sequences is dependent upon developing better probabilistic evolutionary models; analysis of microarray data requires new statistical approaches. Generally, when one goes beyond algorithms and starts either looking for first principles behind certain biological processes (which is an extremely difficult task) or paying more attention to modeling (which is a more standard approach), one crosses the boundary between computational science and mathematics/statistics. These days many mathematicians are becoming interested in bioinformatics and beginning to contribute to research in biology. This is also my personal story: I am a pure mathematician specializing in several complex variables, but now I work in bioinformatics as well.  \nDespite this mathematical trend, bioinformatics is still largely taught by computational groups and computer science departments, and partly by engineering and biology (in particular, genetics) departments. Naturally, in courses developed by these departments emphasis is placed on algorithms and their implementation in software. Although it is useful to know how","cbCaipXwyGlLM2YL","https://ap.wps.com/l/cbCaipXwyGlLM2YL","pdf",2577093,304,"English","# Preface\n## Definition of bioinformatics and its quantitative foundations\n## Why bioinformatics differs from computational sequence analysis\n## Examples of mathematical depth: folding, evolution, microarrays\n## Teaching background and motivation\n## Structure of the book and course correspondence","[{\"question\":\"How does the book define bioinformatics?\",\"answer\":\"Bioinformatics is defined as a collection of mathematical, statistical, and computational methods for analyzing biological sequences such as DNA, RNA, and amino acid (protein) sequences.\"},{\"question\":\"Why does the preface distinguish bioinformatics from computational sequence analysis?\",\"answer\":\"Bioinformatics increasingly requires deep mathematical and statistical ideas beyond computation alone, whereas computational sequence analysis is described as somewhat narrower.\"},{\"question\":\"What issue does the author identify with existing bioinformatics education?\",\"answer\":\"The preface notes that many courses emphasize algorithms and software implementation without revealing the mathematical principles behind models, leaving students unable to understand assumptions, limitations, and correct interpretation of results.\"}]","Introduction to Mathematical Methods in Bioinformatics - book preface | PDF",1789974502,468]