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Finite Mathematics is designed for the one-term course in finite math taken primarily by students majoring in business, economics, life sciences, and the social sciences. The mathematical integrity of

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String Theory comprises two volumes which give a comprehensive and pedagogic account of the subject. Volume 1, first published in 1998, provides a thorough introduction to the bosonic string. The first four chapters introduce the central ideas of string theory, the tools of conformal field theory and of the Polyakov path integral, and the covariant quantization of the string. The next three chapters treat string interactions: the general formalism, and detailed treatments of the tree level and one loop amplitudes. Chapter eight covers toroidal compactification and many important aspects of string physics, such as T-duality and D-branes. Chapter nine treats higher-order amplitudes, including an analysis of their finiteness and unitarity, and various nonperturbative ideas. An appendix giving a short course on path integral methods is included. This is an essential text and reference for graduate students and researchers interested in modern superstring theory.

The Franco-Prussian War of 1870–1 violently changed the course of European History. Alarmed by Bismarck's territorial ambitions and the Prussian army's crushing defeats of Denmark in 1864 and Austria in 1866, French Emperor Napoleon III vowed to bring Prussia to heel. Digging into many European and American archives for the first time, Geoffrey Wawro's The Franco-Prussian War describes the war that followed in thrilling detail. While the armies mobilized in July 1870, the conflict appeared 'too close to call'. Prussia and its German allies overwhelmingly outnumbered the French. But Marshal Achille Bazaine's grognards ('old grumblers') were the stuff of legend, the most resourceful, battle-hardened, sharp-shooting troops in Europe. From the political intrigues that began and ended the war to the bloody battles at Gravelotte and Sedan and the last murderous fights on the Loire and in Paris, this is a stunning, authoritative history of the Franco-Prussian War.

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Setting the standard in middle school mathematicsMathematics: Applications and Concepts is a three-course middle school series intended to bridge the gap from elementary mathematics to Algebra 1. The

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The Workshop Physics Activity Guide is a set of student workbooks designed to serve as the foundation for a two-semester calculus-based introductory physics course. It consists of 28 units that inter

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Understanding personal relationships throughout the life course is one of the most crucial issues in the behavioral and social sciences. This book brings together perspectives from different disciplines on individual development and personal relationships across the life span. The book addresses two pertinent dimensions of personal relationships: 1) structures of relationship networks (e.g. kin vs non-kin, peripheral vs intimate, short-term vs long-term) and 2) processes (i.e. change or stability) and outcomes of personal relationships across the life span. The book stimulates discussion of personal relationships as resources for and outcomes of individual development throughout the life course. Different qualities of personal relationships serve as catalysts for individual development. At the same time, relationship qualities reflect changes of developing individuals. The book does not give exclusive priority to one phase of the human life span. Rather, each chapter addresses social d

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This two-volume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a user-friendly conversational lecture style that makes them equally effective for self-study or class use. Volume 1 includes formal proof techniques, a section on applications of compactness (including nonstandard analysis), a generous dose of computability and its relation to the incompleteness phenomenon, and the first presentation of a complete proof of Godel's 2nd incompleteness since Hilbert and Bernay's Grundlagen theorem.

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In this fascinating book, an experienced classroom teacher takes us into her fifth-grade math class through the course of a year and shows how classroom dynamics--the complex relationship of teacher,

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Chemistry: Matter and Change is a comprehensive chemistry course of study, designed to for a first year high school chemistry curriculum. The program incorporates features for strong math-skill develo

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All the exercises plus their solutions for Serge Lang's fourth edition of "Complex Analysis," ISBN 0-387-98592-1. The problems in the first 8 chapters are suitable for an introductory course at underg

This second volume of a two-volume basic introduction to enumerative combinatorics covers the composition of generating functions, trees, algebraic generating functions, D-finite generating functions, noncommutative generating functions, and symmetric functions. The chapter on symmetric functions provides the only available treatment of this subject suitable for an introductory graduate course on combinatorics, and includes the important Robinson-Schensted-Knuth algorithm. Also covered are connections between symmetric functions and representation theory. An appendix by Sergey Fomin covers some deeper aspects of symmetric function theory, including jeu de taquin and the Littlewood-Richardson rule. As in Volume 1, the exercises play a vital role in developing the material. There are over 250 exercises, all with solutions or references to solutions, many of which concern previously unpublished results. Graduate students and research mathematicians who wish to apply combinatorics to their

Fundamentals of Environmental Engineering is the outgrowth of a team-taught course at Michigan Technological University which provides a bridge for a student to move from their basic science and math

String Theory comprises two volumes which give a comprehensive and pedagogic account of the subject. Volume 1, first published in 1998, provides a thorough introduction to the bosonic string. The first four chapters introduce the central ideas of string theory, the tools of conformal field theory and of the Polyakov path integral, and the covariant quantization of the string. The next three chapters treat string interactions: the general formalism, and detailed treatments of the tree level and one loop amplitudes. Chapter eight covers toroidal compactification and many important aspects of string physics, such as T-duality and D-branes. Chapter nine treats higher-order amplitudes, including an analysis of their finiteness and unitarity, and various nonperturbative ideas. An appendix giving a short course on path integral methods is included. This is an essential text and reference for graduate students and researchers interested in modern superstring theory.

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In his preface the author relates how a longstanding fascination with the history of math led him to teach a course in number theory (which Gauss called the "Queen of Mathematics") from a historical p

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Number theory is concerned with the properties of the natural numbers: 1, 2, 3 … During the seventeenth and eighteenth centuries, number theory became established through the work of Fermat, Euler and Gauss. With the hand calculators and computers of today the results of extensive numerical work are instantly available and the road leading to their discoveries may be traversed with comparative care. Now in its second edition, this book consists of a sequence of exercises that will lead readers from quite simple number work to the point where they can prove algebraically the classical results of elementary number theory for themselves. A modern secondary school course in mathematics is sufficient background for the whole book which is designed to be used as an undergraduate course in number theory to be pursued by independent study without supporting lectures.

In the fall of 1990, I taught Math 581 at New Mexico State University for the first time. This course on field theory is the first semester of the year-long graduate algebra course here at NMSU. In th

This two-volume set aims to present as completely as possible the methods of statistical inference with special reference to their economic applications. The reader will find a description not only of the classical concepts and results of mathematical statistics, but also of concepts and methods recently developed for the specific needs of econometrics. The authors have sought to avoid an overly technical presentation and go to some lengths to encourage an intuitive understanding of the results by providing numerous examples throughout. The breadth of approaches and the extensive coverage of the two volumes provide for a thorough and entirely self-contained course in modern econometrics. Volume 1 provides an introduction to general concepts and methods in statistics and econometrics, and goes on to cover estimation and prediction. Volume 2 focuses on testing, confidence regions, model selection, and asymptotic theory.

This two-volume work aims to present as completely as possible the methods of statistical inference with special reference to their economic applications. The reader will find a description not only of the classical concepts and results of mathematical statistics, but also of concepts and methods recently developed for the specific needs of econometrics. The authors have sought to avoid an overly technical presentation and go to some lengths to encourage an intuitive understanding of the results by providing numerous examples throughout. The breadth of approaches and the extensive coverage of the two volumes provide for a thorough and entirely self-contained course in modern econometrics. Volume 1 provides an introduction to general concepts and methods in statistics and econometrics, and goes on to cover estimation and prediction. Volume 2 focuses on testing, confidence regions, model selection, and asymptotic theory.