Dust jacket tattered and torn. Corners bumped.

The stranglehold of the I.Q

Fine, Benjamin

DOUBLEDAY

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.

The Fundamental Theorem of Algebra (Undergraduate Texts in Mathematics)

Science & Math

Rosenberger, Gerhard

Mathematics

Springer

The AMS Special Session on Combinatorial Group Theory---Infinite Groups, held at the University of Maryland in April 1988, was designed to draw together researchers in various areas of infinite group theory, especially combinatorial group theory, to share methods and results. The session reflected the vitality and interests in infinite group theory, with eighteen speakers presenting lectures covering a wide range of group-theoretic topics, from purely logical questions to geometric methods. The heightened interest in classical combinatorial group theory was reflected in the sheer volume of work presented during the session. 
This book consists of eighteen papers presented during the session. Comprising a mix of pure research and exposition, the papers should be sufficiently understandable to the nonspecialist to convey a sense of the direction of this field. However, the volume will be of special interest to researchers in infinite group theory and combinatorial group theory, as well as to those interested in low-dimensional (especially three-manifold) topology.

Combinatorial Group Theory (Contemporary Mathematics)

Gaglione, Anthony

Amer Mathematical Society

A survey of one-relator products of cyclics or groups with a single defining relation, extending the algebraic study of Fuchsian groups to the more general context of one-relator products and related group theoretical considerations. It provides a self-contained account of certain natural generalizations of discrete groups.

Algebraic Generalizations of Discrete Groups: A Path to Combinatorial Group Theory Through One-Relator Products (Chapman & Hall/CRC Pure and Applied Mathematics)

CRC-Press

In the preface of this new book, Dr. Fine states, “In the extensive literature on human and sexual liberation, there is a startling omission--the psychology of man.” In response to this enormous oversight, Dr. Fine has written The Forgotten Man, an important book that clearly demonstrates how many dimensions of the male's psychic structure and psychodynamics have either been neglected and/or misunderstood by many psychoanalytically oriented clinicians. As a result, professionals of all persuasions and non-professionals have “forgotten” about many of the male's dilemmas and stresses. This frank, controversial, sometimes startling book covers the topics of sexuality, aggression, social roles, and love as they influence the development of the male psyche. Dr. Fine, a world-renowned psychologist comments on man's loves and hates; his sexual desires, practices, and conflicts; his problems with aggression; his anxieties, trials, and tribulations with women; and his difficulties in maturing.In addition to his brilliant theoretical formulations, Dr. Fine provides us with penetrating analyses of men from all walks of life--politicians, businessmen, psychologists, athletes, and many more. He shows us healthy men, ill men, loving men, hateful men, those who are too uptight and those who are too loose, winners and losers.Thorough scholarship and detailed research distinguish this landmark volume. Readable, insightful, and desperately needed, The Forgotten Man tells of the rocky roads to manhood and fatherhood, the myths about men promulgated by the women's movement, and the relationship between aggression and sexual performance. The book contains references, chapter notes, and discussions by 10 recognized critics that alone cover 54 pages.

Forgotten Man: Understanding the Male Psyche

Health, Fitness & Dieting

Psychology & Counseling

Routledge

In the preface of this new book, Dr. Fine states, “In the extensive literature on human and sexual liberation, there is a startling omission--the psychology of man.” In response to this enormous oversight, Dr. Fine has written The Forgotten Man, an important book that clearly demonstrates how many dimensions of the male's psychic structure and psychodynamics have either been neglected and/or misunderstood by many psychoanalytically oriented clinicians. As a result, professionals of all persuasions and non-professionals have “forgotten” about many of the male's dilemmas and stresses. This frank, controversial, sometimes startling book covers the topics of sexuality, aggression, social roles, and love as they influence the development of the male psyche. Dr. Fine, a world-renowned psychologist comments on man's loves and hates; his sexual desires, practices, and conflicts; his problems with aggression; his anxieties, trials, and tribulations with women; and his difficulties in maturing.In addition to his brilliant theoretical formulations, Dr. Fine provides us with penetrating analyses of men from all walks of life--politicians, businessmen, psychologists, athletes, and many more. He shows us healthy men, ill men, loving men, hateful men, those who are too uptight and those who are too loose, winners and losers.Thorough scholarship and detailed research distinguish this landmark volume. Readable, insightful, and desperately needed, The Forgotten Man tells of the rocky roads to manhood and fatherhood, the myths about men promulgated by the women's movement, and the relationship between aggression and sexual performance. The book contains references, chapter notes, and discussions by 10 recognized critics that alone cover 54 pages.

The Forgotten Man: Understanding the Male Psyche

Politics & Social Sciences

Social Sciences

How to Get the Best Education for Your Child

Literature & Fiction

Fine, Lillian

Literary

Literary Licensing, LLC

A new approach to abstract algebra that eases student anxieties by building on fundamentals.
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 An for n5 • Sylow theorems • The Jordan-Hölder 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 • The insolvability of the quintic

Introduction to Abstract Algebra: From Rings, Numbers, Groups, and Fields to Polynomials and Galois Theory

Gaglione, Anthony M.

Johns Hopkins University Press

Crafts, Hobbies & Home

Gardening & Landscape Design

The subject of this book is mathematical cryptography. By this we mean the mathematics involved in cryptographic protocols. As the field has expanded, using both commutative and noncommutative algebraic objects as cryptographic platforms, a book describing and explaining all these mathematical methods is of immeasurable value.

A Course in Mathematical Cryptography (De Gruyter Textbook)

Computers & Technology

Baumslag, Gilbert

Kreuzer, Martin

Computer Science

de Gruyter

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