Calculus


Book Description

Designed for the freshman/sophomore Calculus I-II-III sequence, the eighth edition continues to evolve to fulfill the needs of a changing market by providing flexible solutions to teaching and learning needs of all kinds. The new edition retains the strengths of earlier editions such as Anton's trademark clarity of exposition, sound mathematics, excellent exercises and examples, and appropriate level. Anton also incorporates new ideas that have withstood the objective scrutiny of many skilled and thoughtful instructors and their students.







The Rapture of the Nerds


Book Description

From the two defining personalities of post-cyberpunk SF, a brilliant collaboration to rival 1987's The Difference Engine by William Gibson and Bruce Sterling




Sage for Undergraduates


Book Description

As the open-source and free competitor to expensive software like MapleTM, Mathematica®, Magma, and MATLAB®, Sage offers anyone with access to a web browser the ability to use cutting-edge mathematical software and display his or her results for others, often with stunning graphics. This book is a gentle introduction to Sage for undergraduate students toward the end of Calculus II (single-variable integral calculus) or higher-level course work such as Multivariate Calculus, Differential Equations, Linear Algebra, or Math Modeling. The book assumes no background in computer science, but the reader who finishes the book will have learned about half of a first semester Computer Science I course, including large parts of the Python programming language. The audience of the book is not only math majors, but also physics, engineering, finance, statistics, chemistry, and computer science majors.




Nonlinear Dynamics and Chaos


Book Description

This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.




All About Maude - A High-Performance Logical Framework


Book Description

Maude is a language and system based on rewriting logic. In this comprehensive account, you’ll discover how Maude and its formal tool environment can be used in three mutually reinforcing ways: as a declarative programming language, as an executable formal specification language, and as a formal verification system. Examples used throughout the book illustrate key concepts, features, and the many practical uses of Maude.




Marx


Book Description

Marx is one of the most influential philosophers of all time, whose theories about society, economics, and politics have shaped and directed political and social thought for 150 years. In this new edition, Peter Singer discusses the legacy and impact of Marx's core theories, considering how they apply to twenty first century politics and society.




Contesting Stereotypes and Creating Identities


Book Description

Since the end of legal segregation in schools, most research on educational inequality has focused on economic and other structural obstacles to the academic achievement of disadvantaged groups. But in Contesting Stereotypes and Creating Identities, a distinguished group of psychologists and social scientists argue that stereotypes about the academic potential of some minority groups remain a significant barrier to their achievement. This groundbreaking volume examines how low institutional and cultural expectations of minorities hinder their academic success, how these stereotypes are perpetuated, and the ways that minority students attempt to empower themselves by redefining their identities. The contributors to Contesting Stereotypes and Creating Identities explore issues of ethnic identity and educational inequality from a broad range of disciplinary perspectives, drawing on historical analyses, social-psychological experiments, interviews, and observation. Meagan Patterson and Rebecca Bigler show that when teachers label or segregate students according to social categories (even in subtle ways), students are more likely to rank and stereotype one another, so educators must pay attention to the implicit or unintentional ways that they emphasize group differences. Many of the contributors contest John Ogbu's theory that African Americans have developed an "oppositional culture" that devalues academic effort as a form of "acting white." Daphna Oyserman and Daniel Brickman, in their study of black and Latino youth, find evidence that strong identification with their ethnic group is actually associated with higher academic motivation among minority youth. Yet, as Julie Garcia and Jennifer Crocker find in a study of African-American female college students, the desire to disprove negative stereotypes about race and gender can lead to anxiety, low self-esteem, and excessive, self-defeating levels of effort, which impede learning and academic success. The authors call for educational institutions to diffuse these threats to minority students' identities by emphasizing that intelligence is a malleable rather than a fixed trait. Contesting Stereotypes and Creating Identities reveals the many hidden ways that educational opportunities are denied to some social groups. At the same time, this probing and wide-ranging anthology provides a fresh perspective on the creative ways that these groups challenge stereotypes and attempt to participate fully in the educational system.




A Course in Mathematical Logic for Mathematicians


Book Description

1. The ?rst edition of this book was published in 1977. The text has been well received and is still used, although it has been out of print for some time. In the intervening three decades, a lot of interesting things have happened to mathematical logic: (i) Model theory has shown that insights acquired in the study of formal languages could be used fruitfully in solving old problems of conventional mathematics. (ii) Mathematics has been and is moving with growing acceleration from the set-theoretic language of structures to the language and intuition of (higher) categories, leaving behind old concerns about in?nities: a new view of foundations is now emerging. (iii) Computer science, a no-nonsense child of the abstract computability theory, has been creatively dealing with old challenges and providing new ones, such as the P/NP problem. Planning additional chapters for this second edition, I have decided to focus onmodeltheory,the conspicuousabsenceofwhichinthe ?rsteditionwasnoted in several reviews, and the theory of computation, including its categorical and quantum aspects. The whole Part IV: Model Theory, is new. I am very grateful to Boris I. Zilber, who kindly agreed to write it. It may be read directly after Chapter II. The contents of the ?rst edition are basically reproduced here as Chapters I–VIII. Section IV.7, on the cardinality of the continuum, is completed by Section IV.7.3, discussing H. Woodin’s discovery.