A Mathematics Course for Political and Social Research
Political science and sociology increasingly rely on mathematical modeling and sophisticated data analysis, and many graduate programs in these fields now require students to take a "math camp" or a semester-long or yearlong course to acquire the necessary skills. The problem is that most...
Uloženo v:
| Hlavní autoři: | , |
|---|---|
| Médium: | E-kniha Kniha |
| Jazyk: | angličtina |
| Vydáno: |
Princeton
Princeton University Press
2013
|
| Vydání: | STU - Student edition |
| Témata: | |
| ISBN: | 9780691159171, 0691159173, 9780691159959, 0691159955, 9781400848614, 140084861X |
| On-line přístup: | Získat plný text |
| Tagy: |
Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
|
| Abstract | Political science and sociology increasingly rely on mathematical modeling and sophisticated data analysis, and many graduate programs in these fields now require students to take a "math camp" or a semester-long or yearlong course to acquire the necessary skills. The problem is that most available textbooks are written for mathematics or economics majors, and fail to convey to students of political science and sociology the reasons for learning often-abstract mathematical concepts.A Mathematics Course for Political and Social Researchfills this gap, providing both a primer for math novices and a handy reference for seasoned researchers.
The book begins with the fundamental building blocks of mathematics and basic algebra, then goes on to cover essential subjects such as calculus in one and more than one variable, including optimization, constrained optimization, and implicit functions; linear algebra, including Markov chains and eigenvectors; and probability. It describes the intermediate steps most other textbooks leave out, features numerous exercises throughout, and grounds all concepts by illustrating their use and importance in political science and sociology.
Uniquely designed for students and researchers in political science and sociology Uses examples from political science and sociology Features "Why Do I Care?" sections that explain why concepts are useful to practicing political scientists and sociologists Includes numerous exercises Complete online solutions manual (available only to professors) Selected solutions available online to students |
|---|---|
| AbstractList | Political science and sociology increasingly rely on mathematical modeling and sophisticated data analysis, and many graduate programs in these fields now require students to take a "math camp" or a semester-long or yearlong course to acquire the necessary skills. Available textbooks are written for mathematics or economics majors, and fail to convey to students of political science and sociology the reasons for learning often-abstract mathematical concepts. A Mathematics Course for Political and Social Research fills this gap, providing both a primer for math novices in the social sciences and a handy reference for seasoned researchers.
The book begins with the fundamental building blocks of mathematics and basic algebra, then goes on to cover essential subjects such as calculus in one and more than one variable, including optimization, constrained optimization, and implicit functions; linear algebra, including Markov chains and eigenvectors; and probability. It describes the intermediate steps most other textbooks leave out, features numerous exercises throughout, and grounds all concepts by illustrating their use and importance in political science and sociology.
* Uniquely designed and ideal for students and researchers in political science and sociology
* Uses practical examples from political science and sociology
* Features "Why Do I Care?" sections that explain why concepts are useful
* Includes numerous exercises
* Complete online solutions manual (available only to professors, email david.siegel at duke.edu, subject line "Solution Set")
* Selected solutions available online to students Political science and sociology increasingly rely on mathematical modeling and sophisticated data analysis, and many graduate programs in these fields now require students to take a math camp or a semester-long or yearlong course to acquire the necessary skills. Available textbooks are written for mathematics or economics majors, and fail to convey to students of political science and sociology the reasons for learning often-abstract mathematical concepts. A Mathematics Course for Political and Social Research fills this gap, providing both a primer for math novices in the social sciences and a handy reference for seasoned researchers. The book begins with the fundamental building blocks of mathematics and basic algebra, then goes on to cover essential subjects such as calculus in one and more than one variable, including optimization, constrained optimization, and implicit functions; linear algebra, including Markov chains and eigenvectors; and probability. It describes the intermediate steps most other textbooks leave out, features numerous exercises throughout, and grounds all concepts by illustrating their use and importance in political science and sociology. Uniquely designed and ideal for students and researchers in political science and sociology Uses practical examples from political science and sociology Features Why Do I Care? sections that explain why concepts are useful Includes numerous exercises Complete online solutions manual (available only to professors, email david.siegel at duke.edu, subject line Solution Set) Selected solutions available online to students Political science and sociology increasingly rely on mathematical modeling and sophisticated data analysis, and many graduate programs in these fields now require students to take a "math camp" or a semester-long or yearlong course to acquire the necessary skills. The problem is that most available textbooks are written for mathematics or economics majors, and fail to convey to students of political science and sociology the reasons for learning often-abstract mathematical concepts.A Mathematics Course for Political and Social Researchfills this gap, providing both a primer for math novices and a handy reference for seasoned researchers. The book begins with the fundamental building blocks of mathematics and basic algebra, then goes on to cover essential subjects such as calculus in one and more than one variable, including optimization, constrained optimization, and implicit functions; linear algebra, including Markov chains and eigenvectors; and probability. It describes the intermediate steps most other textbooks leave out, features numerous exercises throughout, and grounds all concepts by illustrating their use and importance in political science and sociology. Uniquely designed for students and researchers in political science and sociology Uses examples from political science and sociology Features "Why Do I Care?" sections that explain why concepts are useful to practicing political scientists and sociologists Includes numerous exercises Complete online solutions manual (available only to professors) Selected solutions available online to students No detailed description available for "A Mathematics Course for Political and Social Research". |
| Author | David A. Siegel Will H. Moore |
| Author_xml | – sequence: 1 fullname: Moore, Will H. – sequence: 2 fullname: Siegel, David A. |
| BackLink | https://cir.nii.ac.jp/crid/1130282270899570432$$DView record in CiNii |
| BookMark | eNpVkMtLxDAQxiM-cNU9ehKkB0E8rGbyznEtvkBRVLyWNDt1u1sbbar--0a7F-cwr-_HNzA7ZKMNLRKyD_QUJMgzqw0ISo0wCsQaGf-b1_9mqiyAtKBhk-wwCtxyyaXaIiMjk6CBq20yjnFBU1gNiqkRUdPszvVzfHN97WOWh88uYlaFLnsITZ12rslcO8uegq9T-4gRXefne2Szck3E8arukpfLi-f8enJ7f3WTT28nTrF0ewKV4JWkWghvZOnRuhmi91brmafMoWROzSTnRqAzgNSVTnEjRakEN5XUfJecDMYuLvE7zkPTx-KrwTKEZSz-fSGxxwP73oWPT4x98Yd5bPvONcXFeQ6MSgUmkQcrErsGX0Mx2GkujVZJPRrUtq4LX_9mAE6ZYUxTY63UVHCWsMMBW8Q-dCuLReH7nrOynC_5D_R-e6U |
| ContentType | eBook Book |
| Copyright | 2013 Princeton University Press |
| Copyright_xml | – notice: 2013 Princeton University Press |
| DBID | RYH YSPEL |
| DEWEY | 510.243 |
| DOI | 10.1515/9781400848614 |
| DatabaseName | CiNii Complete Perlego |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics Political Science |
| DocumentTitleAlternate | A mathematics course for political & social research |
| EISBN | 9781400848614 140084861X |
| Edition | STU - Student edition 1 |
| ExternalDocumentID | 9781400848614 EBC1205618 735876 BB15287716 j.ctt32bbhk |
| Genre | Electronic books |
| GroupedDBID | 089 20A 38. A4J AABBV AAGED AAMYY AANXU AAUSU AAVCP AAZEP ABARN ABCYV ABCYY ABFFQ ABHWV ABIAV ABYBY ACBCG ACBYE ACHKM ACISH ACLGV ACQYL ADDXO ADVEM ADVQQ AEAED AEDVL AERYV AEYCP AFHFQ AFRFP AGLEC AHWGJ AIADE AIBWD AILDO AIUUY AJFER AKHYG ALMA_UNASSIGNED_HOLDINGS AMYDA APFVE ARPAB ARSQP AVGCG AZVGL AZZ BBABE BECJT BFATZ BJCSJ BKFOJ CZZ DHNOV E06 GEOUK HELXT I4C JJU JLPMJ KBOFU MYL PQQKQ QD8 YSPEL ~I6 RYH IVK |
| ID | FETCH-LOGICAL-a62356-1f43f50744c85bce9adeecc977dc02ae52a6d53384ea81e0aba63854b6438f573 |
| ISBN | 9780691159171 0691159173 9780691159959 0691159955 9781400848614 140084861X |
| ISICitedReferencesCount | 8 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000120038&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| IngestDate | Fri Nov 08 05:51:10 EST 2024 Wed Dec 10 13:45:29 EST 2025 Tue Dec 02 18:50:39 EST 2025 Thu Jun 26 21:14:53 EDT 2025 Tue Sep 16 03:36:43 EDT 2025 |
| IsPeerReviewed | false |
| IsScholarly | false |
| LCCN | 2013935356 |
| LCCallNum_Ident | QA11.2.M66 2013eb |
| Language | English |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-a62356-1f43f50744c85bce9adeecc977dc02ae52a6d53384ea81e0aba63854b6438f573 |
| Notes | Includes bibliographical references (p. [413]-422) and index |
| OCLC | 851157136 |
| PQID | EBC1205618 |
| PageCount | 456 |
| ParticipantIDs | askewsholts_vlebooks_9781400848614 proquest_ebookcentral_EBC1205618 perlego_books_735876 nii_cinii_1130282270899570432 jstor_books_j_ctt32bbhk |
| PublicationCentury | 2000 |
| PublicationDate | 20130724 c2013 2013 2013-07-24 |
| PublicationDateYYYYMMDD | 2013-07-24 2013-01-01 |
| PublicationDate_xml | – year: 2013 text: 2013 |
| PublicationDecade | 2010 |
| PublicationPlace | Princeton |
| PublicationPlace_xml | – name: Princeton |
| PublicationYear | 2013 |
| Publisher | Princeton University Press |
| Publisher_xml | – name: Princeton University Press |
| SSID | ssj0000971626 |
| Score | 1.9534863 |
| Snippet | Political science and sociology increasingly rely on mathematical modeling and sophisticated data analysis, and many graduate programs in these fields now... No detailed description available for "A Mathematics Course for Political and Social Research". |
| SourceID | askewsholts proquest perlego nii jstor |
| SourceType | Aggregation Database Publisher |
| SubjectTerms | Mathematics POLITICAL SCIENCE Political science -- Mathematics -- Textbooks Political science -- Research -- Textbooks Sociology Sociology -- Mathematics -- Textbooks Sociology -- Research -- Textbooks |
| TableOfContents | Front Matter
Table of Contents
List of Figures
List of Tables
Preface
Chapter One: Preliminaries
Chapter Two: Algebra Review
Chapter Three: Functions, Relations, and Utility
Chapter Four: Limits and Continuity, Sequences and Series, and More on Sets
Chapter Five: Introduction to Calculus and the Derivative
Chapter Six: The Rules of Differentiation
Chapter Seven: The Integral
Chapter Eight: Extrema in One Dimension
Chapter Nine: An Introduction to Probability
Chapter Ten: An Introduction to (Discrete) Distributions
Chapter Eleven: Continuous Distributions
Chapter Twelve: Fun with Vectors and Matrices
Chapter Thirteen: Vector Spaces and Systems of Equations
Chapter Fourteen: Eigenvalues and Markov Chains
Chapter Fifteen: Multivariate Calculus
Chapter Sixteen: Multivariate Optimization
Chapter Seventeen: Comparative Staticsand Implicit Differentiation
Bibliography
Index 10.2 Sample Distributions -- 10.3 Empirical Joint and Marginal Distributions -- 10.4 The Probability Mass Function -- 10.5 The Cumulative Distribution Function -- 10.6 Probability Distributions and Statistical Modeling -- 10.7 Expectations of Random Variables -- 10.8 Summary -- 10.9 Exercises -- 10.10 Appendix -- 11 Continuous Distributions -- 11.1 Continuous Random Variables -- 11.2 Expectations of Continuous Random Variables -- 11.3 Important Continuous Distributions for Statistical Modeling . . -- 11.4 Exercises -- 11.5 Appendix -- IV Linear Algebra -- 12 Fun with Vectors and Matrices -- 12.1 Scalars -- 12.2 Vectors -- 12.3 Matrices -- 12.4 Properties of Vectors and Matrices -- 12.5 Matrix Illustration of OLS Estimation -- 12.6 Exercises -- 13 Vector Spaces and Systems of Equations -- 13.1 Vector Spaces -- 13.2 Solving Systems of Equations -- 13.3 Why Should I Care? -- 13.4 Exercises -- 13.5 Appendix -- 14 Eigenvalues and Markov Chains -- 14.1 Eigenvalues, Eigenvectors, and Matrix Decomposition -- 14.2 Markov Chains and Stochastic Processes -- 14.3 Exercises -- V Multivariate Calculus and Optimization -- 15 Multivariate Calculus -- 15.1 Functions of Several Variables -- 15.2 Calculus in Several Dimensions -- 15.3 Concavity and Convexity Redux -- 15.4 Why Should I Care? -- 15.5 Exercises -- 16 Multivariate Optimization -- 16.1 Unconstrained Optimization -- 16.2 Constrained Optimization: Equality Constraints -- 16.3 Constrained Optimization: Inequality Constraints -- 16.4 Exercises -- 17 Comparative Statics and Implicit Differentiation -- 17.1 Properties of the Maximum and Minimum -- 17.2 Implicit Differentiation -- 17.3 Exercises -- Bibliography -- Index Cover -- Title -- Copyright -- Dedication -- Contents -- List of Figures -- List of Tables -- Preface -- I Building Blocks -- 1 Preliminaries -- 1.1 Variables and Constants -- 1.2 Sets -- 1.3 Operators -- 1.4 Relations -- 1.5 Level of Measurement -- 1.6 Notation -- 1.7 Proofs, or How Do We Know This? -- 1.8 Exercises -- 2 Algebra Review -- 2.1 Basic Properties of Arithmetic -- 2.2 Algebra Review -- 2.3 Computational Aids -- 2.4 Exercises -- 3 Functions, Relations, and Utility -- 3.1 Functions -- 3.2 Examples of Functions of One Variable -- 3.3 Preference Relations and Utility Functions -- 3.4 Exercises -- 4 Limits and Continuity, Sequences and Series, and More on Sets -- 4.1 Sequences and Series -- 4.2 Limits -- 4.3 Open, Closed, Compact, and Convex Sets -- 4.4 Continuous Functions -- 4.5 Exercises -- II Calculus in One Dimension -- 5 Introduction to Calculus and the Derivative -- 5.1 A Brief Introduction to Calculus -- 5.2 What Is the Derivative? -- 5.3 The Derivative, Formally -- 5.4 Summary -- 5.5 Exercises -- 6 The Rules of Differentiation -- 6.1 Rules for Differentiation -- 6.2 Derivatives of Functions -- 6.3 What the Rules Are, and When to Use Them -- 6.4 Exercises -- 7 The Integral -- 7.1 The Definite Integral as a Limit of Sums -- 7.2 Indefinite Integrals and the Fundamental Theorem of Calculus -- 7.3 Computing Integrals -- 7.4 Rules of Integration -- 7.5 Summary -- 7.6 Exercises -- 8 Extrema in One Dimension -- 8.1 Extrema -- 8.2 Higher-Order Derivatives, Concavity, and Convexity -- 8.3 Finding Extrema -- 8.4 Two Examples -- 8.5 Exercises -- III Probability -- 9 An Introduction to Probability -- 9.1 Basic Probability Theory -- 9.2 Computing Probabilities -- 9.3 Some Specific Measures of Probabilities -- 9.4 Exercises -- 9.5 Appendix -- 10 An Introduction to (Discrete) Distributions -- 10.1 The Distribution of a Single Concept (Variable) |
| Title | A Mathematics Course for Political and Social Research |
| URI | https://www.jstor.org/stable/j.ctt32bbhk https://cir.nii.ac.jp/crid/1130282270899570432 https://www.perlego.com/book/735876/a-mathematics-course-for-political-and-social-research-pdf https://ebookcentral.proquest.com/lib/[SITE_ID]/detail.action?docID=1205618 https://www.vlebooks.com/vleweb/product/openreader?id=none&isbn=9781400848614&uid=none |
| WOSCitedRecordID | wos000120038&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3Pb9MwFH5ihQM9AeNHBkMR4lZlNHH8I8d1KkyCjR3GtFvkOPYoG2nVZNP-fJ4dN20KEuLAxYoTNbHe59rfe37-DPAeh92xxL4SaVqKKJVJEWXo_UQxs1EGHmfGnQ148YWfnorLy-zM697W7jgBXlXi_j5b_Feo8R6CbbfO_gPc3UvxBl4j6Fgi7FhuMeKu6vONRz87DdZ6pOY2PcNlES7aHDevCuCj5F7lp4sGn8x9xq2NwIyOD7rQi1tV79LfR4cHm4ECe2hDL1BwZoP32mp1bO9B7LmUY4bDn1Mh--MAS50WRSuUZaX4WbsFdEuzejJBWiA4-mI7sMMZOsUPP02_fvvcRb9a5Spm3eT2ezEn60pGqddGWj2Me3VsnJdLxeZ86DVmCENZX-P8gHNHU6-STJE4VLMZujgLvbzRV_PfJl7HJs6fwMDuMHkKD3T1DIYna9B2gR2GGyCGLYghghh2IIYIYtiCGK5AfA4XH6fnR8eRP9oiksg3rfSjSYlBLp6mStBC6UyWGv9NyMZLNU6kpolkJVJxkWopYj2WhcSRkqYFMkhhKCcvYFDNK_0KQi2JEdpkmhCdlgon38RwxlQhlDEZUQG82zBJfnfjluHrvGe3AF46S-Xtsx-5ahqSFMX36wD20Xa5mtkytuvcyCm5XS2m3Oo5BrDrrep_ywnFKTaAcGXi3H3QJxvn08lRnFi_Vez95c2v4fG6H7-BQbO81fvwSN01s3r51nepX14jUAw |
| linkProvider | ProQuest Ebooks |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.title=A+mathematics+course+for+political+and+social+research&rft.au=Moore%2C+Will+H.&rft.au=Siegel%2C+David+A.&rft.date=2013-01-01&rft.pub=Princeton+University+Press&rft.isbn=9780691159959&rft_id=info:doi/10.1515%2F9781400848614&rft.externalDocID=BB15287716 |
| thumbnail_l | http://cvtisr.summon.serialssolutions.com/2.0.0/image/custom?url=https%3A%2F%2Fwww.perlego.com%2Fbooks%2FRM_Books%2Fprinceton_university_press_rydfxi%2F9781400848614.jpg |
| thumbnail_m | http://cvtisr.summon.serialssolutions.com/2.0.0/image/custom?url=https%3A%2F%2Fvle.dmmserver.com%2Fmedia%2F640%2F97814008%2F9781400848614.jpg |