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Kirjafiili

Kirjailija

Benjamin Fine

Kirjat ja teokset yhdessä paikassa: 22 kirjaa, julkaisuja vuosilta 1997–2025, suosituimpiin kuuluu Algebra and Number Theory. Vertaile teosten hintoja ja tarkista saatavuus suomalaisista kirjakaupoista.

22 kirjaa

Kirjojen julkaisuvuodet: 1997–2025.

The Political Economy of South Africa Revisited: Tracking and Debating the Minerals-Energy and Financial Complex

The Political Economy of South Africa Revisited: Tracking and Debating the Minerals-Energy and Financial Complex

Benjamin Fine

BRILL
2025
sidottu

Halvin toimitettuna 208,40 €

South Africa’s political economy is commonly understood as a Minerals-Energy (and Financial) Complex, ME(F)C. But the MEC has been misunderstood. Specifying the MEFC as a system of accumulation and drawing upon extensive research and engaging in critical debates, the originator of the term, traces the MEFC from apartheid origins, through the ANC’s failure to adopt coherent and coordinated policies, ultimately leading to degeneration into state capture and beyond. Emphasis is placed upon the interaction between South African specificities and globalisation, neoliberalisation and financialisation, anchoring economic and social reproduction in “five lows” across investment, productivity, wages, employment and social provision.
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Debating Economic Policy for South Africa’s Post-apartheid Transition: From Scholarship and Ideology to Policy in Practice

Debating Economic Policy for South Africa’s Post-apartheid Transition: From Scholarship and Ideology to Policy in Practice

Benjamin Fine

BRILL
2025
sidottu
The reasons for South Africa’s full and rapid post-apartheid embrace of neoliberal economic policy remain controversial. Drawing on the author’s own participation in policy debates, this volume establishes there were alternatives available that were either dismissed or not even considered. Explanations for policy failings have to be sought in determinants such as globalisation, financialisation, capital flight, corporate restructuring and Black Economic Empowerment. The text offers extensive surveys of relevant literature including the developmental state, industrial and social policy, privatisation, trade policy, the Harvard School, comparative experience and the deficiencies in the country’s National Development Plan and New Growth Path.
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The Political Economy of South Africa's Post-Apartheid Transition: The Rejection of Alternatives to Neoliberalism; Critical Reconstructions of Politic

The Political Economy of South Africa's Post-Apartheid Transition: The Rejection of Alternatives to Neoliberalism; Critical Reconstructions of Politic

Benjamin Fine

BRILL
2025
sidottu
South Africa's post-apartheid transition has proven disastrous. It is marked by the emergence of a black elite of enriched capitalists out of the globalisation, neoliberalisation and financialisation of the economy in general and of its Minerals-Energy and Financial Complex in particular. By contrast, inequalities, poverty and failing social provision have persisted. Recent attention has shifted to how this disastrous trajectory was initiated, some suggesting a lack of available alternative policy options at the time of transition. This is shown to be false with a full range of progressive alternatives being rejected with corresponding consequences, from "state capture" to electoral defeat.
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In and against Development

In and against Development

Benjamin Fine

BRILL
2025
sidottu
Long self-proclaimed as “Knowledge Bank”, the World Bank is as active as criticised in its endeavours across scholarship, ideology and policy in practice, serving US interests in the age of globalisation, neoliberalism and financialisation. This Volume focuses on the Bank’s scholarship, meticulously criticising it and assessing alternatives. Its analytical framing draws upon economics imperialism in general, and its evolution through three phases. Corresponding phases of new, newer and newest development economics are identified, with the World Bank taking a leading role in each, with implications for the expanding scope of development economics and its contestations with development studies.
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In and against Development: From New to Newest Development Economics

In and against Development: From New to Newest Development Economics

Benjamin Fine

BRILL
2025
sidottu
The Economics of Everything, or Economics Imperialism, now has a dominant presence in development economics, and an agenda-setting role in development studies, with the World Bank taking a leading, if contested, role. This volume examines how this happened, charting the evolution from the old or classic development economics through the new, newer and newest development economics. Drawing critically upon the Kuhnian notions of paradigm shifts, corresponding changes are contextualised materially, intellectually and policy-wise. Covering key issues such as famine, the developmental state, and trade and industrial policy, detailed attention is paid to the potential for alternatives for economics and economic policies.
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The Financialisation of Social Reproduction in the Age of Neoliberalism: From Theory to Case Studies: Critical Reconstructions of Political Economy, V

The Financialisation of Social Reproduction in the Age of Neoliberalism: From Theory to Case Studies: Critical Reconstructions of Political Economy, V

Benjamin Fine

BRILL
2024
sidottu
Drawing upon comprehensive research across five countries, including case studies of housing, water, and health, comprehensive theoretical and empirical accounts are offered of the impact of financialisation on economic and social reproduction, alongside the corresponding material cultures of neoliberalism. Economic is understood as embedded within social reproduction, with neoliberalism, as the current stage of capitalism, fundamentally underpinned by, but not reducible to, the financialisation of everyday life. Considerable emphasis is placed upon the variegated outcomes attached to the neoliberalisation of social reproduction, as highlighted by the comparative study of economic and social provisioning across different countries and sectors.
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Topics in Infinite Group Theory

Topics in Infinite Group Theory

Benjamin Fine; Anja Moldenhauer; Gerhard Rosenberger; Annika Schürenberg; Leonard Wienke

De Gruyter
2024
isokokoinen pokkari
This book gives an advanced overview of several topics in infinite group theory. It can also be considered as a rigorous introduction to combinatorial and geometric group theory. The philosophy of the book is to describe the interaction between these two important parts of infinite group theory. In this line of thought, several theorems are proved multiple times with different methods either purely combinatorial or purely geometric while others are shown by a combination of arguments from both perspectives. The first part of the book deals with Nielsen methods and introduces the reader to results and examples that are helpful to understand the following parts. The second part focuses on covering spaces and fundamental groups, including covering space proofs of group theoretic results. The third part deals with the theory of hyperbolic groups. The subjects are illustrated and described by prominent examples and an outlook on solved and unsolved problems. New edition now includes the topics on universal free groups, quasiconvex subgroups and hyperbolic groups, and also Stallings foldings and subgroups of free groups. New results on groups of F-types are added.
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Cliometrics as Economics Imperialism: Across the Watershed: Critical Reconstructions of Political Economy, Volume 3

Cliometrics as Economics Imperialism: Across the Watershed: Critical Reconstructions of Political Economy, Volume 3

Benjamin Fine

BRILL
2023
sidottu
In Cliometrics as Economics Imperialism, Ben Fine traces the cliometric revolution, from before its emergence through three phases of the new, the newer and the newest economic history. These phases are shown to correspond to those of "economics imperialism", the colonisation of topics and fields by mainstream economics, moving successively through as if there were perfectly working markets, as if imperfectly working markets, and these combined plus arbitrary inclusion of other variables. The text draws upon case studies, for example of the putative eighteenth-century consumer revolution, Douglass North, path dependence, and the British coal industry, and through exposing the reduction of economic theory and economic history deployed within them and giving rise to a corresponding reduction in the presence of the social, the historical and political economy.
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Algebra and Number Theory

Algebra and Number Theory

Benjamin Fine; Anja Moldenhauer; Gerhard Rosenberger; Annika Schürenberg; Leonard Wienke

De Gruyter
2023
isokokoinen pokkari
In the two-volume set ‘A Selection of Highlights’ we present basics of mathematics in an exciting and pedagogically sound way. This volume examines fundamental results in Algebra and Number Theory along with their proofs and their history. In the second edition, we include additional material on perfect and triangular numbers. We also added new sections on elementary Group Theory, p-adic numbers, and Galois Theory. A true collection of mathematical gems in Algebra and Number Theory, including the integers, the reals, and the complex numbers, along with beautiful results from Galois Theory and associated geometric applications. Valuable for lecturers, teachers and students of mathematics as well as for all who are mathematically interested.
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Geometry and Discrete Mathematics

Geometry and Discrete Mathematics

Benjamin Fine; Anja Moldenhauer; Gerhard Rosenberger; Annika Schürenberg; Leonard Wienke

De Gruyter
2022
isokokoinen pokkari
In the two-volume set ‘A Selection of Highlights’ we present basics of mathematics in an exciting and pedagogically sound way. This volume examines many fundamental results in Geometry and Discrete Mathematics along with their proofs and their history. In the second edition we include a new chapter on Topological Data Analysis and enhanced the chapter on Graph Theory for solving further classical problems such as the Traveling Salesman Problem.
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Topics in Infinite Group Theory

Topics in Infinite Group Theory

Benjamin Fine; Anja Moldenhauer; Gerhard Rosenberger; Leonard Wienke

De Gruyter
2021
isokokoinen pokkari
This book gives an advanced overview of several topics in infinite group theory. It can also be considered as a rigorous introduction to combinatorial and geometric group theory. The philosophy of the book is to describe the interaction between these two important parts of infinite group theory. In this line of thought, several theorems are proved multiple times with different methods either purely combinatorial or purely geometric while others are shown by a combination of arguments from both perspectives. The first part of the book deals with Nielsen methods and introduces the reader to results and examples that are helpful to understand the following parts. The second part focuses on covering spaces and fundamental groups, including covering space proofs of group theoretic results. The third part deals with the theory of hyperbolic groups. The subjects are illustrated and described by prominent examples and an outlook on solved and unsolved problems.
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Abstract Algebra

Abstract Algebra

Celine Carstensen-Opitz; Benjamin Fine; Anja Moldenhauer; Gerhard Rosenberger

De Gruyter
2019
isokokoinen pokkari
A new approach to conveying abstract algebra, the area that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras, that is essential to various scientific disciplines such as particle physics and cryptology. It provides a well written account of the theoretical foundations and it also includes a chapter on cryptography. End of chapter problems help readers with accessing the subjects.
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Number Theory

Number Theory

Benjamin Fine; Gerhard Rosenberger

Birkhauser Verlag AG
2018
nidottu
Now in its second edition, this textbook provides an introduction and overview of number theory based on the density and properties of the prime numbers. This unique approach offers both a firm background in the standard material of number theory, as well as an overview of the entire discipline. All of the essential topics are covered, such as the fundamental theorem of arithmetic, theory of congruences, quadratic reciprocity, arithmetic functions, and the distribution of primes. New in this edition are coverage of p-adic numbers, Hensel's lemma, multiple zeta-values, and elliptic curve methods in primality testing. Key topics and features include:A solid introduction to analytic number theory, including full proofs of Dirichlet's Theorem and the Prime Number TheoremConcise treatment of algebraic number theory, including a complete presentation of primes, prime factorizations in algebraic number fields, and unique factorization of idealsDiscussion of the AKS algorithm, which shows that primality testing is one of polynomial time, a topic not usually included in such textsMany interesting ancillary topics, such as primality testing and cryptography, Fermat and Mersenne numbers, and Carmichael numbersThe user-friendly style, historical context, and wide range of exercises that range from simple to quite difficult (with solutions and hints provided for select exercises) make Number Theory: An Introduction via the Density of Primes ideal for both self-study and classroom use. Intended for upper level undergraduates and beginning graduates, the only prerequisites are a basic knowledge of calculus, multivariable calculus, and some linear algebra. All necessary concepts from abstract algebra and complex analysis are introduced where needed.
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Algebra and Number Theory

Algebra and Number Theory

Benjamin Fine; Anthony Gaglione; Anja Moldenhauer; Gerhard Rosenberger; Dennis Spellman

De Gruyter
2017
isokokoinen pokkari
This two-volume set collects and presents some fundamentals of mathematics in an entertaining and performing manner. The present volume examines many of the most important basic results in algebra and number theory, along with their proofs, and also their history. Contents The natural, integral and rational numbers Division and factorization in the integers Modular arithmetic Exceptional numbers Pythagorean triples and sums of squares Polynomials and unique factorization Field extensions and splitting fields Permutations and symmetric polynomials Real numbers The complex numbers, the Fundamental Theorem of Algebra and polynomial equations Quadratic number fields and Pell’s equation Transcendental numbers and the numbers e and p Compass and straightedge constructions and the classical problems Euclidean vector spaces
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Number Theory

Number Theory

Benjamin Fine; Rosenberger Gerhard

Birkhauser Verlag AG
2016
sidottu
Now in its second edition, this textbook provides an introduction and overview of number theory based on the density and properties of the prime numbers. This unique approach offers both a firm background in the standard material of number theory, as well as an overview of the entire discipline. All of the essential topics are covered, such as the fundamental theorem of arithmetic, theory of congruences, quadratic reciprocity, arithmetic functions, and the distribution of primes. New in this edition are coverage of p-adic numbers, Hensel's lemma, multiple zeta-values, and elliptic curve methods in primality testing. Key topics and features include:A solid introduction to analytic number theory, including full proofs of Dirichlet's Theorem and the Prime Number TheoremConcise treatment of algebraic number theory, including a complete presentation of primes, prime factorizations in algebraic number fields, and unique factorization of idealsDiscussion of the AKS algorithm, which shows that primality testing is one of polynomial time, a topic not usually included in such textsMany interesting ancillary topics, such as primality testing and cryptography, Fermat and Mersenne numbers, and Carmichael numbersThe user-friendly style, historical context, and wide range of exercises that range from simple to quite difficult (with solutions and hints provided for select exercises) make Number Theory: An Introduction via the Density of Primes ideal for both self-study and classroom use. Intended for upper level undergraduates and beginning graduates, the only prerequisites are a basic knowledge of calculus, multivariable calculus, and some linear algebra. All necessary concepts from abstract algebra and complex analysis are introduced where needed.
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A Course in Mathematical Cryptography

A Course in Mathematical Cryptography

Gilbert Baumslag; Benjamin Fine; Martin Kreuzer; Gerhard Rosenberger

De Gruyter
2015
isokokoinen pokkari
Cryptography has become essential as bank transactions, credit card infor-mation, contracts, and sensitive medical information are sent through inse-cure channels. This book is concerned with the mathematical, especially algebraic, aspects of cryptography. It grew out of many courses presented by the authors over the past twenty years at various universities and covers a wide range of topics in mathematical cryptography. It is primarily geared towards graduate students and advanced undergraduates in mathematics and computer science, but may also be of interest to researchers in the area. Besides the classical methods of symmetric and private key encryption, the book treats the mathematics of cryptographic protocols and several unique topics such as Group-Based Cryptography Gröbner Basis Methods in Cryptography Lattice-Based Cryptography
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The Elementary Theory of Groups

The Elementary Theory of Groups

Benjamin Fine; Anthony Gaglione; Alexei Myasnikov; Gerhard Rosenberger; Dennis Spellman

De Gruyter
2014
sidottu
After being an open question for sixty years the Tarski conjecture was answered in the affirmative by Olga Kharlampovich and Alexei Myasnikov and independently by Zlil Sela. Both proofs involve long and complicated applications of algebraic geometry over free groups as well as an extension of methods to solve equations in free groups originally developed by Razborov. This book is an examination of the material on the general elementary theory of groups that is necessary to begin to understand the proofs. This material includes a complete exposition of the theory of fully residually free groups or limit groups as well a complete description of the algebraic geometry of free groups. Also included are introductory material on combinatorial and geometric group theory and first-order logic. There is then a short outline of the proof of the Tarski conjectures in the manner of Kharlampovich and Myasnikov.
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Introduction to Abstract Algebra

Introduction to Abstract Algebra

Benjamin Fine; Anthony M. Gaglione; Gerhard Rosenberger

Johns Hopkins University Press
2014
sidottu
Introduction to Abstract Algebra presents a breakthrough approach to teaching one of math's most intimidating concepts. Avoiding the pitfalls common in the standard textbooks, Benjamin Fine, Anthony M. Gaglione, and Gerhard Rosenberger set a pace that allows beginner-level students to follow the progression from familiar topics such as rings, numbers, and groups to more difficult concepts. Classroom tested and revised until students achieved consistent, positive results, this textbook is designed to keep students focused as they learn complex topics. Fine, Gaglione, and Rosenberger's clear explanations prevent students from getting lost as they move deeper and deeper into areas such as abelian groups, fields, and Galois theory. This textbook will help bring about the day when abstract algebra no longer creates intense anxiety but instead challenges students to fully grasp the meaning and power of the approach. Topics covered include: rings; integral domains; the fundamental theorem of arithmetic; fields; groups; Lagrange's theorem; isomorphism theorems for groups; fundamental theorem of finite abelian groups; the simplicity of A n for n=5; Sylow theorems; the Jordan-Holder theorem; Ring isomorphism theorems; Euclidean domains; principal ideal domains; the fundamental theorem of algebra; Vector spaces; Algebras; field extensions: algebraic and transcendental; the fundamental theorem of Galois theory; and the insolvability of the quintic.
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The Fundamental Theorem of Algebra

The Fundamental Theorem of Algebra

Benjamin Fine; Gerhard Rosenberger

Springer-Verlag New York Inc.
2012
nidottu
The fundamental theorem of algebra states that any complex polynomial must have a complex root. This book examines three pairs of proofs of the theorem from three different areas of mathematics: abstract algebra, complex analysis and topology. The first proof in each pair is fairly straightforward and depends only on what could be considered elementary mathematics. However, each of these first proofs leads to more general results from which the fundamental theorem can be deduced as a direct consequence. These general results constitute the second proof in each pair. To arrive at each of the proofs, enough of the general theory of each relevant area is developed to understand the proof. In addition to the proofs and techniques themselves, many applications such as the insolvability of the quintic and the transcendence of e and pi are presented. Finally, a series of appendices give six additional proofs including a version of Gauss'original first proof. The book is intended for junior/senior level undergraduate mathematics students or first year graduate students, and would make an ideal "capstone" course in mathematics.
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How to Get the Best Education for Your Child

How to Get the Best Education for Your Child

Benjamin Fine; Lillian Fine

Literary Licensing, LLC
2012
sidottu
How To Get The Best Education For Your Child is a comprehensive guide written by Benjamin Fine that aims to help parents make informed decisions about their child's education. The book covers a wide range of topics related to education, including the different types of schools available, the importance of early childhood education, the role of technology in education, and the benefits of extracurricular activities. Fine emphasizes the importance of parental involvement in their child's education and provides practical advice on how parents can support their child's learning at home. He also offers tips on how to choose the right school for your child, including factors such as location, class size, and academic programs. The book is written in a clear and concise style, making it easy for parents to understand and apply the information presented. Fine draws on his extensive experience as an educator and parent to provide practical insights and actionable advice that parents can use to help their child succeed in school and beyond. Overall, How To Get The Best Education For Your Child is an essential resource for any parent who wants to ensure that their child receives the best possible education. Whether you are considering different schools or looking for ways to support your child's learning at home, this book provides valuable insights and practical advice that can help you make informed decisions about your child's education. This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.
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