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Introductory Graph Theory

by Gary Chartrand

Graph theory is used today in the physical sciences, social sciences, computer science, and other areas. Introductory Graph Theory presents a nontechnical introduction to this exciting field in a clear, lively, and informative style. Author Gary Chartrand covers the important elementary topics of graph theory and its applications. In addition, he presents a large variety of proofs designed to strengthen mathematical techniques and offers challenging opportunities to have fun with mathematics. Ten major topics -- profusely illustrated -- include: Mathematical Models, Elementary Concepts of Graph Theory, Transportation Problems, Connection Problems, Party Problems, Digraphs and Mathematical Models, Games and Puzzles, Graphs and Social Psychology, Planar Graphs and Coloring Problems, and Graphs and Other Mathematics. A useful Appendix covers Sets, Relations, Functions, and Proofs, and a section devoted to exercises -- with answers, hints, and solutions -- is especially valuable to anyone encountering graph theory for the first time. Undergraduate mathematics students at every level, puzzlists, and mathematical hobbyists will find well-organized coverage of the fundamentals of graph theory in this highly readable and thoroughly enjoyable book.

Introduction to Quantum Mechanics with Applications to Chemistry

by Linus Pauling E. Bright Wilson Jr.

When this classic text was first published in 1935, it fulfilled the goal of its authors "to produce a textbook of practical quantum mechanics for the chemist, the experimental physicist, and the beginning student of theoretical physics." Although many who are teachers today once worked with the book as students, the text is still as valuable for the same undergraduate audience.Two-time Nobel Prize winner Linus Pauling, Research Professor at the Linus Pauling Institute of Science and Medicine, Palo Alto, California, and E. Bright Wilson, Jr., Professor Emeritus of Chemistry at Harvard University, provide a readily understandable study of "wave mechanics," discussing the Schrodinger wave equation and the problems which can be solved with it. Extensive knowledge of mathematics is not required, although the student must have a grasp of elementary mathematics through the calculus. Pauling and Wilson begin with a survey of classical mechanics, including Newton's equations of motion in the Lagrangian form, and then move on to the "old" quantum theory, developed through the work of Planck, Einstein and Bohr. This analysis leads to the heart of the book - an explanation of quantum mechanics which, as Schrodinger formulated it, "involves the renunciation of the hope of describing in exact detail the behavior of a system." Physics had created a new realm in which classical, Newtonian certainties were replaced by probabilities - a change which Heisenberg's uncertainty principle (described in this book) subsequently reinforced.With clarity and precision, the authors guide the student from topic to topic, covering such subjects as the wave functions for the hydrogen atom, perturbation theory, the Pauli exclusion principle, the structure of simple and complex molecules, Van der Waals forces, and systems in thermodynamic equilibrium. To insure that the student can follow the mathematical derivations, Pauling and Wilson avoid the "temptation to condense the various discussions into shorter and perhaps more elegant forms" appropriate for a more advanced audience. Introduction to Quantum Mechanics is a perfect vehicle for demonstrating the practical application of quantum mechanics to a broad spectrum of chemical and physical problems.

Vectors, Tensors and the Basic Equations of Fluid Mechanics

by Rutherford Aris

This introductory text is geared toward engineers, physicists, and applied mathematicians at the advanced undergraduate and graduate levels. It applies the mathematics of Cartesian and general tensors to physical field theories and demonstrates them chiefly in terms of the theory of fluid mechanics. Numerous exercises appear throughout the text. 1962 edition.

Politics Latin America

by Gavin O'Toole

"This is a volume which will become invaluable to those attempting to guide the neophyte through the maze of politics in Latin America" - Journal of Latin American Studies Politics Latin America examines the role of Latin America in the world and its importance to the study of politics with particular emphasis on the institutions and processes that exist to guarantee democracy and the forces that threaten to compromise it. Now in its second edition and fully revised to reflect recent developments in the region, Politics Latin America provides students and teachers with an accessible overview of the region’s unique political and economic landscape, covering every aspect of governance in its 21 countries. The book examines the international relations of Latin American states as they seek to carve out a role in an increasingly globalised world and will be an ideal introduction for undergraduate courses in Latin American politics and comparative politics.

Japan in Transformation, 1945-2010

by Jeff Kingston

Since 1945, Japan has successfully reinvented itself, rising from the ashes of defeat to become a peaceful and prosperous nation. It is seen as an inspiration for other developing nations and contributes significantly to global development. As the third largest economy in the world, with a reputation for technological innovation and cultural creativity, Japan is a country shaping the world we live in. In this new edition of Japan in Transformation, Jeffrey Kingston explores the character of the nation as it has evolved since the end of the Second World War. The book: - examines the US Occupation and explains the causes of the economic miracle and its demise- evaluates the effect of the Lost Decade of the 1990s and the unravelling of the Japan, Inc system that prevailed in the twentieth century- analyses such central and topical issues as the demographic crisis, regional relations, security concerns, political change and the role of women Expanded and thoroughly revised to cover the period of 1945 to 2010, this second edition of Japan in Transformation provides a succinct and comprehensive study of the recent history of one of the most dynamic nations in the modern world.

The European Union Since 1945

by Alasdair Blair

The European Union faces a crossroads in the twenty-first century. While there is evidence of declining enthusiasm for European integration, the EU plays an increasingly vital role in tackling problems that can no longer be dealt with at member state level. In recent years, the EU has developed a stronger foreign, security and defence policy, and has had to face up to the challenges of tackling organised crime, human trafficking and drug smuggling. In this fully updated new edition, Alasdair Blair examines the economic, political, social and personal factors that have shaped the process of European integration from the end of the Second World War until the Lisbon Treaty in 2009. Written in a clear and jargon-free style, the book explores: The context of European integration and expansion The relations between the European Union and its member states The institutional evolution of the European Union Methods of decision-making Key policies of the European Union The future direction of the European Union Comprehensive and accessible, this book is an essential guide to understanding the relevance of the European Union in the twenty-first century.

Quantum Theory

by David Bohm

This superb text by David Bohm, formerly Princeton University and Emeritus Professor of Theoretical Physics at Birkbeck College, University of London, provides a formulation of the quantum theory in terms of qualitative and imaginative concepts that have evolved outside and beyond classical theory. Although it presents the main ideas of quantum theory essentially in nonmathematical terms, it follows these with a broad range of specific applications that are worked out in considerable mathematical detail. Addressed primarily to advanced undergraduate students, the text begins with a study of the physical formulation of the quantum theory, from its origin and early development through an analysis of wave vs. particle properties of matter. In Part II, Professor Bohm addresses the mathematical formulation of the quantum theory, examining wave functions, operators, Schrödinger's equation, fluctuations, correlations, and eigenfunctions.Part III takes up applications to simple systems and further extensions of quantum theory formulation, including matrix formulation and spin and angular momentum. Parts IV and V explore the methods of approximate solution of Schrödinger's equation and the theory of scattering. In Part VI, the process of measurement is examined along with the relationship between quantum and classical concepts.Throughout the text, Professor Bohm places strong emphasis on showing how the quantum theory can be developed in a natural way, starting from the previously existing classical theory and going step by step through the experimental facts and theoretical lines of reasoning which led to replacement of the classical theory by the quantum theory.

Challenging Problems in Geometry

by Alfred S. Posamentier Charles T. Salkind

Designed for high school students and teachers with an interest in mathematical problem-solving, this volume offers a wealth of nonroutine problems in geometry that stimulate students to explore unfamiliar or little-known aspects of mathematics.Included are nearly 200 problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency, and many other subjects. Within each topic, the problems are arranged in approximate order of difficulty. Detailed solutions (as well as hints) are provided for all problems, and specific answers for most.Invaluable as a supplement to a basic geometry textbook, this volume offers both further explorations on specific topics and practice in developing problem-solving techniques.


by Enrico Fermi

Indisputably, this is a modern classic of science. Based on a course of lectures delivered by the author at Columbia University, the text is elementary in treatment and remarkable for its clarity and organization. Although it is assumed that the reader is familiar with the fundamental facts of thermometry and calorimetry, no advanced mathematics beyond calculus is assumed.Partial contents: thermodynamic systems, the first law of thermodynamics (application, adiabatic transformations), the second law of thermodynamics (Carnot cycle, absolute thermodynamic temperature, thermal engines), the entropy (properties of cycles, entropy of a system whose states can be represented on a (V, p) diagram, Clapeyron and Van der Waals equations), thermodynamic potentials (free energy, thermodynamic potential at constant pressure, the phase rule, thermodynamics of the reversible electric cell), gaseous reactions (chemical equilibria in gases, Van't Hoff reaction box, another proof of the equation of gaseous equilibria, principle of Le Chatelier), the thermodynamics of dilute solutions (osmotic pressure, chemical equilibria in solutions, the distribution of a solute between 2 phases vapor pressure, boiling and freezing points), the entropy constant (Nernst's theorem, thermal ionization of a gas, thermionic effect, etc.).

Complex Variables: Second Edition

by Stephen D. Fisher

The most important topics in the theory and application of complex variables receive a thorough, coherent treatment in this introductory text. Intended for undergraduates or graduate students in science, mathematics, and engineering, this volume features hundreds of solved examples, exercises, and applications designed to foster a complete understanding of complex variables as well as an appreciation of their mathematical beauty and elegance. Prerequisites are minimal; a three-semester course in calculus will suffice to prepare students for discussions of these topics: the complex plane, basic properties of analytic functions (including a rewritten and reorganized discussion of Cauchy's Theorem), analytic functions as mappings, analytic and harmonic functions in applications, and transform methods. Useful appendixes include tables of conformal mappings and Laplace transforms, as well as solutions to odd-numbered exercises.Students and teachers alike will find this volume, with its well-organized text and clear, concise proofs, an outstanding introduction to the intricacies of complex variables.

Children's Services: Working Together

by Barbara Reid Andrew Lockyer Malcolm Hill Raymond Taylor Sir George Head

Children's Services: Working Together brings together contributions from a number of authors in the field. The book covers policy, theory, research and practice relevant to students and professionals working with children in a wide range of roles. The emphasis on working collaboratively with other professionals, where appropriate, and the holistic approach to children make this a valuable resource to anyone working with children today.

Introduction to Statistics with SPSS for Social Science

by Dennis Howitt Duncan Cramer Gareth Norris Faiza Qureshi

This is a complete guide to statistics and SPSS for social science students. Statistics with SPSS for Social Science provides a step-by-step explanation of all the important statistical concepts, tests and procedures. It is also a guide to getting started with SPSS, and includes screenshots to illustrate explanations. With examples specific to social sciences, this text is essential for any student in this area.

The United Nations, Peace Operations and the Cold War

by Norrie MacQueen

This is the first introduction to the United Nation's activities during the Cold War period. It combines a history of the UN with a broader account of east-west diplomacy during the Cold War and after. Norrie MacQueen begins by looking at the formation, structure and functions of the UN. Then, within a chronological framework, he assesses its contribution to international security from the emergence of the UN's peacekeeping role in 1945-56 right through to UN operations in the 1990s in Angola, Somalia and Bosnia.

Sociology: An Introductory Textbook and Reader

by Ken Plummer Daniel Nehring

This groundbreaking new introduction to sociology is an innovative hybrid textbook and reader. Combining seminal scholarly works, contextual narrative and in-text didactic materials, it presents a rich, layered and comprehensive introduction to the discipline. Its unique approach will help inspire a creative, critical, and analytically sophisticated sociological imagination, making sense of society and the many small and large problems it poses.

Optimal Control and Estimation

by Robert F. Stengel

"An excellent introduction to optimal control and estimation theory and its relationship with LQG design. . . . invaluable as a reference for those already familiar with the subject." -- Automatica. This highly regarded graduate-level text provides a comprehensive introduction to optimal control theory for stochastic systems, emphasizing application of its basic concepts to real problems. The first two chapters introduce optimal control and review the mathematics of control and estimation. Chapter 3 addresses optimal control of systems that may be nonlinear and time-varying, but whose inputs and parameters are known without error. Chapter 4 of the book presents methods for estimating the dynamic states of a system that is driven by uncertain forces and is observed with random measurement error. Chapter 5 discusses the general problem of stochastic optimal control, and the concluding chapter covers linear time-invariant systems. Robert F. Stengel is Professor of Mechanical and Aerospace Engineering at Princeton University, where he directs the Topical Program on Robotics and Intelligent Systems and the Laboratory for Control and Automation. He was a principal designer of the Project Apollo Lunar Module control system. "An excellent teaching book with many examples and worked problems which would be ideal for self-study or for use in the classroom. . . . The book also has a practical orientation and would be of considerable use to people applying these techniques in practice." -- Short Book Reviews, Publication of the International Statistical Institute. "An excellent book which guides the reader through most of the important concepts and techniques. . . . A useful book for students (and their teachers) and for those practicing engineers who require a comprehensive reference to the subject." -- Library Reviews, The Royal Aeronautical Society.

Theory of Elastic Stability

by Stephen P. Timoshenko James M. Gere

The best available guide to the elastic stability of large structures, this book introduces the principles and theory of structural stability. It was co-authored by the father of modern engineering mechanics, Stephen Timoshenko, and James Gere, who updated the materials and worked closely with Dr. Timoshenko. Relevant to aspects of civil, mechanical, and aerospace engineering, this classic covers the essentials of static and dynamic instabilities.Topics range from theoretical explanations of 2- and 3-D stress and strain to practical applications such as torsion, bending, thermal stress, and wave propagation through solids. Additional subjects include beam columns, curved bars and arches, buckling of rings, and experiments and design formulas. Particularly suitable for advanced undergraduate and graduate students of engineering, this volume is also an indispensable reference for professionals.

Foundations of Mathematical Analysis

by Richard Johnsonbaugh W. E. Pfaffenberger

This classroom-tested volume offers a definitive look at modern analysis, with views of applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. Upper-level undergraduate students with a background in calculus will benefit from its teachings, along with beginning graduate students seeking a firm grounding in modern analysis. A self-contained text, it presents the necessary background on the limit concept, and the first seven chapters could constitute a one-semester introduction to limits. Subsequent chapters discuss differential calculus of the real line, the Riemann-Stieltjes integral, sequences and series of functions, transcendental functions, inner product spaces and Fourier series, normed linear spaces and the Riesz representation theorem, and the Lebesgue integral. Supplementary materials include an appendix on vector spaces and more than 750 exercises of varying degrees of difficulty. Hints and solutions to selected exercises, indicated by an asterisk, appear at the back of the book.

Journalism Ethics and Regulation

by Chris Frost

Technology, and the democratising of news gathering, continue to change traditional journalistic practice making the path through ethical and regulatory frameworks tough to negotiate. As high-profile celebrity cases such as Max Mosley's vividly illustrate, conflicts between the law, ethics and the public's right and desire to be informed are not easily resolved. This comprehensive volume addresses the ethical considerations, dilemmas and challenges the practising journalist faces, each minute, every day. Providing context and practical advice, it explores an area of crucial importance for the 21st century, thoroughly equipping the reader with the information and tools to negotiate this challenging area knowledgeably, practically and responsibly. This book has been written for students and trainee journalists, working journalists and editors, and indeed for any student of the media.

The Reign of Mary I

by Robert Tittler Judith Richards

Until recently, the reign of Mary Tudor was generally seen as a ‘sterile interlude’ in the Tudor century, with Mary herself dismissed as ‘Bloody Mary’. Extensive research in the past several decades has overturned these assumptions in almost every respect. In this succinct and up-to-date introduction to Mary’s reign, Tittler and Richards provide new insight into the circumstances of Mary’s accession and go on to show that her reign was a lot more stable, and her regime much more competent and innovative, than once believed. This fully revised third edition includes a diverse range of primary sources and sheds new light on a variety of topics, such as: · The complexities of Mary’s relations with Philip of Spain · The restoration of Catholicism · The use of visual as well as literary means to legitimize and support Mary’s rule · The context for the war with France This concise and thought-provoking introduction is ideal for students and interested readers at all levels.

Understanding Challenging Behaviour in Inclusive Classrooms

by Colin Lever

It is no great secret that managing disruptive behaviour in any classroom, from infants to sixth form, is one of the most stressful aspects of teaching. Rules and sanctions can be effective up to a point, but often fail to take into consideration individual differences in children and the difficulties they might be experiencing in their school or home life. In his new book, Colin Lever uses real children's voices to help you begin to understand why children might behave in the way that they do, offering ideas and strategies to help prevent challenging behaviour occurring in the first place. Whether it serves as a reference manual, a useful checklist or as an aide to help you plan and prepare for your lessons, this book should be essential reading for every teacher.

Quantum Theory of Many-Particle Systems

by Alexander L. Fetter John Dirk Walecka

"Singlemindedly devoted to its job of educating potential many-particle theorists...deserves to become the standard text in the field." -- Physics Today"The most comprehensive textbook yet published in its field and every postgraduate student or teacher in this field should own or have access to a copy." -- EndeavorA self-contained, unified treatment of nonrelativistic many-particle systems, this text offers a solid introduction to procedures in a manner that enables students to adopt techniques for their own use. Its discussions of formalism and applications move easily between general theory and direct use by offering illustrations of principles to specific cases.Chapters on second quantization and statistical mechanics introduce students to ground-state (zero-temperature) formalism, which is explored by way of Green's functions and field theory (fermions), Fermi systems, linear response and collective modes, and Bose systems. Finite-temperature formalism is examined through field theory at finite temperature, physical systems at finite temperature, and real-time Green's functions and linear response. Additional topics cover canonical transformations and applications to physical systems in terms of nuclear matter, phonons and electrons, superconductivity, and superfluid helium as well as applications to finite systems.Graduate students will find this text enormously practical in making the transition from taking courses in quantum mechanics to interpreting the vast quantity of literature concerning the many-body problem.

Introductory Real Analysis

by Richard A. Silverman S. V. Fomin A. N. Kolmogorov

This volume in Richard Silverman's exceptional series of translations of Russian works in the mathematical science is a comprehensive, elementary introduction to real and functional analysis by two faculty members from Moscow University. It is self-contained, evenly paced, eminently readable, and readily accessible to those with adequate preparation in advanced calculus.The first four chapters present basic concepts and introductory principles in set theory, metric spaces, topological spaces, and linear spaces. The next two chapters consider linear functionals and linear operators, with detailed discussions of continuous linear functionals, the conjugate space, the weak topology and weak convergence, generalized functions, basic concepts of linear operators, inverse and adjoint operators, and completely continuous operators. The final four chapters cover measure, integration, differentiation, and more on integration. Special attention is here given to the Lebesque integral, Fubini's theorem, and the Stieltjes integral. Each individual section -- there are 37 in all -- is equipped with a problem set, making a total of some 350 problems, all carefully selected and matched.With these problems and the clear exposition, this book is useful for self-study or for the classroom -- it is basic one-year course in real analysis. Dr. Silverman is a former member of the Institute of Mathematical Sciences of New York University and the Lincoln Library of M.I.T. Along with his translation, he has revised the text with numerous pedagogical and mathematical improvements and restyled the language so that it is even more readable.

Partial Differential Equations for Scientists and Engineers

by Stanley J. Farlow

Most physical phenomena, whether in the domain of fluid dynamics, electricity, magnetism, mechanics, optics, or heat flow, can be described in general by partial differential equations. Indeed, such equations are crucial to mathematical physics. Although simplifications can be made that reduce these equations to ordinary differential equations, nevertheless the complete description of physical systems resides in the general area of partial differential equations.This highly useful text shows the reader how to formulate a partial differential equation from the physical problem (constructing the mathematical model) and how to solve the equation (along with initial and boundary conditions). Written for advanced undergraduate and graduate students, as well as professionals working in the applied sciences, this clearly written book offers realistic, practical coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, and numerical and approximate methods. Each chapter contains a selection of relevant problems (answers are provided) and suggestions for further reading.

Sex, Politics and Society: The Regulations of Sexuality Since 1800

by Jeffrey Weeks

A pioneering study which has become an established classic in its field, Sex, Politics and Society provides a lucid and comprehensive analysis of the transformations of British sexual life from 1800 to the present. These changes are firmly located in the wider context of social change, from industrialization and the experience of Empire through the establishment of the welfare state to the rise of new social movements, such as feminism and gay liberation, and new forms of social conservatism. Now fully revised and updated, and with a new chapter bringing the story right up to date, this new edition considers: the transformation of the sexual world through globalization and the internet the changing impact of the AIDS pandemic over the last thirty years the influence of new currents in social and cultural theory on the study of sexuality the gradual depoliticization and mainstreaming of sexuality within historical study Combining rich empirical detail with innovative theoretical insights, Sex, Politics and Society remains at the cutting edge of the subject and this third edition will inspire and provoke a whole new generation of readers in history, sociology, social policy, and the study of sexuality.

The Art of Writing Fiction

by Andrew Cowan

The Art of Writing Fiction guides the reader through the processes of creative writing from journal-keeping to editing, offering techniques for stimulating creativity and making language vivid. Readers will master key aspects of fiction such as structure, character, voice and setting. Andrew Cowan provides an insightful introduction that brings his own well-crafted prose style to bear on the processes and pleasures of writing fiction, offering practical and personal advice culled from his own experience and that of other published writers. He lays open to the reader his own notes, his writing, and the experiences from his own life that he has drawn on in his fiction allowing the reader to develop their own writing project alongside the author as they go through the book.

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