Book picks similar to
Introduction to Mathematical Structures and Proofs by Larry J. Gerstein
mathematics
proofs
math
logic
Marriages & Families: Changes, Choices, and Constraints
Nijole V. Benokraitis - 1993
The text's major theme "Changes, Choices, and Constraints" explores: Contemporary "changes "in families and their structure Impacts on the "choices "that are available to family members ""Constraints ""that often limit our choices Through this approach, students are better able to understand what the research and statistics mean "for themselves"! Marriages and Families balances theoretical and empirical discussions with practical examples and applications. It highlights important contemporary changes in society and the family. This text is written from a sociological perspective and incorporates material from other disciplines: history, economics, social work, psychology, law, biology, medicine, family studies, women's studies, and anthropology. "More about the themes: " "Changes"Examines how recent profound structural and attitudinal changes affect family forms, interpersonal relationships, and raising children. It reaches beyond the traditional discussions to explore racial-ethnic families, single-parent families and gay families as well as the recent scholarship by and about men, fathers, and grandfathers. Contemporary American marriages and families vary greatly in structure, dynamics, and cultural heritage. Thus, discussions of gender roles, social class, race, ethnicity, age, and sexual orientation are integrated throughout this book. To further strengthen students understanding of the growing diversity among today's families, the author included a series of boxes that focus on families from many cultures. "Choices"On the individual level, family members have many more choices today than ever before. People feel freer to postpone marriage, to cohabit, or to raise children as single parents. As a result, household forms vary greatly, ranging from commuter marriages to those in which several generations live together under the same roof. "Constraints"Although family members choices are more varied today, we also face greater macro- level constraints. Our options are increasingly limited, for example, by government policies. Economic changes often shape family life and not vice versa. Political and legal institutions also have a major impact on most families in tax laws, welfare reform, and even in defining what a family is. Because laws, public policies, and religious groups affect our everyday lives, the author has framed many discussions of individual choices within the larger picture of the institutional constraints that limit our choices.To learn more about the new edition, click here to visit the showcase site.
Statistical Methods for Psychology
David C. Howell - 2001
This book has two underlying themes that are more or less independent of the statistical hypothesis tests that are the main content of the book. The first theme is the importance of looking at the data before formulating a hypothesis. With this in mind, the author discusses, in detail, plotting data, looking for outliers, and checking assumptions (Graphical displays are used extensively). The second theme is the importance of the relationship between the statistical test to be employed and the theoretical questions being posed by the experiment. To emphasize this relationship, the author uses real examples to help the student understand the purpose behind the experiment and the predictions made by the theory. Although this book is designed for students at the intermediate level or above, it does not assume that students have had either a previous course in statistics or a course in math beyond high-school algebra.
Elements of the Theory of Computation
Harry R. Lewis - 1981
The authors are well-known for their clear presentation that makes the material accessible to a a broad audience and requires no special previous mathematical experience. KEY TOPICS: In this new edition, the authors incorporate a somewhat more informal, friendly writing style to present both classical and contemporary theories of computation. Algorithms, complexity analysis, and algorithmic ideas are introduced informally in Chapter 1, and are pursued throughout the book. Each section is followed by problems.
Secrets, Lies, and Algebra
Wendy Lichtman - 2007
Oh, and she can't forget the winter dance (d)Then there's the suspicious guy Tess's parents know, but that's a whole different problem.Can Tess find the solutions?
Foundations of Complex Analysis
S. Ponnusamy - 2002
Suitable for a two semester course in complex analysis, or as a supplementary text for an advanced course in function theory, this book aims to give students a good foundation of complex analysis and provides a basis for solving problems in mathematics, physics, engineering and many other sciences.
Theory of Games and Economic Behavior
John von Neumann - 1944
What began more than sixty years ago as a modest proposal that a mathematician and an economist write a short paper together blossomed, in 1944, when Princeton University Press published Theory of Games and Economic Behavior. In it, John von Neumann and Oskar Morgenstern conceived a groundbreaking mathematical theory of economic and social organization, based on a theory of games of strategy. Not only would this revolutionize economics, but the entirely new field of scientific inquiry it yielded--game theory--has since been widely used to analyze a host of real-world phenomena from arms races to optimal policy choices of presidential candidates, from vaccination policy to major league baseball salary negotiations. And it is today established throughout both the social sciences and a wide range of other sciences.This sixtieth anniversary edition includes not only the original text but also an introduction by Harold Kuhn, an afterword by Ariel Rubinstein, and reviews and articles on the book that appeared at the time of its original publication in the New York Times, tthe American Economic Review, and a variety of other publications. Together, these writings provide readers a matchless opportunity to more fully appreciate a work whose influence will yet resound for generations to come.
Elementary Analysis: The Theory of Calculus
Kenneth A. Ross - 1980
It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables, differential equations, Fourier analysis, numerical analysis, several variable calculus, and statistics. It is also recommended for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied. Many abstract ideas, such as metric spaces and ordered systems, are avoided. The least upper bound property is taken as an axiom and the order properties of the real line are exploited throughout. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics. Optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.
Understanding Human Behavior and the Social Environment
Charles Zastrow - 1987
Now available with a personalized online learning plan, this social work-specific book looks at lifespan through the lens of social work theory and practice. The authors use an empowerment approach to cover human development and behavior theories within the context of family, organizational, and community systems. Using a chronological lifespan approach, the authors present separate chapters on biological, psychological, and social impacts at the different lifespan stages with an emphasis on strengths and empowerment.
The Principles of Mathematics
Bertrand Russell - 1903
Russell's classic The Principles of Mathematics sets forth his landmark thesis that mathematics and logic are identical―that what is commonly called mathematics is simply later deductions from logical premises.His ideas have had a profound influence on twentieth-century work on logic and the foundations of mathematics.
Basic Category Theory for Computer Scientists
Benjamin C. Pierce - 1991
Assuming a minimum of mathematical preparation, Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Four case studies illustrate applications of category theory to programming language design, semantics, and the solution of recursive domain equations. A brief literature survey offers suggestions for further study in more advanced texts.
Number Theory
George E. Andrews - 1994
In studying number theory from such a perspective, mathematics majors are spared repetition and provided with new insights, while other students benefit from the consequent simplicity of the proofs for many theorems.Among the topics covered in this accessible, carefully designed introduction are multiplicativity-divisibility, including the fundamental theorem of arithmetic, combinatorial and computational number theory, congruences, arithmetic functions, primitive roots and prime numbers. Later chapters offer lucid treatments of quadratic congruences, additivity (including partition theory) and geometric number theory.Of particular importance in this text is the author's emphasis on the value of numerical examples in number theory and the role of computers in obtaining such examples. Exercises provide opportunities for constructing numerical tables with or without a computer. Students can then derive conjectures from such numerical tables, after which relevant theorems will seem natural and well-motivated..
Statistics for Psychology
Arthur Aron - 1993
This approach constantly reminds students of the logic behind what they are learning, and each procedure is taught both verbally and numerically, which helps to emphasize the concepts. Thoroughly revised, with new content and many new practice examples, this text takes the reader from basic procedures through analysis of variance (ANOVA). Students cover statistics and also learn to read and inderstand research articles. - SPSS examplesincluded with each procedure - Dozens of examples updated (especially the in-the-research-literature ones) - Reorganization - The self-contained chapters on correlation and regression have been moved after t-test and analysis of variance - Emphasis on definitional formulas - As opposed to computational formulas - Practical, up-to-date excerpts - For each procedure, the text explains how results are described in research articles. example being described in each way - Interesting examples throughout - Often include studies of or by researchers of diverse ethnicities - Complete package of ancillary materials - A web page with additional practice problems and extensive interactive study materials, plus four mini chapters covering additional material not in the text, a very substantial test bank; an instructors' manual that provides sample syllabi, lecture outlines, and ready-to-copy (or download) power-point slides or transparencies with examples not in the book; and a very complete students' study guide that also provides a thorough workbook for using SPSS with this book.
A Short Account of the History of Mathematics
W.W. Rouse Ball - 1900
From the early Greek influences to the Middle Ages and the Renaissance to the end of the 19th century, trace the fascinating foundation of mathematics as it developed through the ages. Aristotle, Galileo, Kepler, Newton: you know the names. Now here's what they really did, and the effect their discoveries had on our culture, all explained in a way the layperson can understand. Begin with the basis of arithmetic (Plato and the introduction of geometry), and discover why the use of Arabic numerals was critical to the development of both commerce and science. The development of calculus made space travel a reality, while the abacus prefigured the computer. The greats examined in depth include Leonardo da Vinci, a brilliant mathematician as well as artist; Pascal, who laid out the theory of probabilities; and Fermat, whose intriguing theory has only recently been solved.
Lifespan Development
Denise Boyd - 1994
An exceptional pedagogical package that ties the textbook to online MyDevelopmentLab study tools complements the student-centered approach of the book and offers students the benefit of frequent self-assessment.
Proofs from the Book, 3e
Martin Aigner - 1998
Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: ..". all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999..". the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ..." LMS Newsletter, January 1999This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such as an exciting new way to "enumerate the rationals."