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A Course in Topological Combinatorics is the first undergraduate textbook on the field of topological combinatorics, a subject that has become an active and innovative research area in mathematics over the last thirty years with growing applications in math, computer science, and other applied areas. Topological combinatorics is concerned with solutions to combinatorial problems by applying topological tools. In most cases these solutions are very elegant and the connection between combinatorics and topology often arises as an unexpected surprise.The textbook covers topics such as fair division, graph coloring problems, evasiveness of graph properties, and embedding problems from discrete geometry. The text contains a large number of figures that support the understanding of concepts and proofs. In many cases several alternative proofs for the same result are given, and each chapter ends with a series of exercises. The extensive appendix makes the book completely self-contained.The textbook is well suited for advanced undergraduate or beginning graduate mathematics students. Previous knowledge in topology or graph theory is helpful but not necessary. The text may be used as a basis for a one- or two-semester course as well as a supplementary text for a topology or combinatorics class.
From the Preface by V. S. VARADARAJAN: ¿These volumes of the Collected Papers of Harish-Chandra are being brought out in response to a widespread feeling in the mathematical community that they would immensely benefit scholars and research workers, especially those in analysis, representation theory, arithmetic, mathematical physics, and other related areas. lt is hoped that in addition to making his contributions more accessible by collecting them in one place, these volumes would help focus renewed attention on his ideas and methods as well as lend additional perspective to them.¿ The papers are arranged chronologically, Volume I collects Harish-Chandra's articles written between 1944 and 1954.
Tree species are indispensable to human needs. Due to their long life cycle and environmental sensitivity, breeding trees for sustainable production is a formidable challenge in order to meet the demands of growing human population and industries. Fruit crops such as apple, cocoa, mango, citrus, litchi, pear, dates, and coconut or industrial crops including rubber and tea, improving yield under the optimal, sub-optimal and marginal areas call for a unified worldwide effort. While the uniqueness of coconut as 'kalpavriksha' (Sanskrit - meaning tree of life) makes its presence in every continent from Far East to South America, tree crops such as cocoa, oil palm, rubber, apple, peach and walnut prove their environmental sensitivity towards tropical, subtropical and temperate climates. Date palm is quintessential for desert climate. Thus, from soft drinks to breweries to oil to tires, the value addition offers a spectrum of products to human kind, enriched with nutritional, environmental, financial, and trade related attributes. This volume is a compilation of information on breeding of temperate tree species and provides first hand comprehensive knowledge to research, teach, and make policies.
Microelectronic Test Structures for CMOS Technology and Products addresses the basic concepts of the design of test structures for incorporation within test-vehicles, scribe-lines, and CMOS products. The role of test structures in the development and monitoring of CMOS technologies and products has become ever more important with the increased cost and complexity of development and manufacturing. In this timely volume, IBM scientists Manjul Bhushan and Mark Ketchen emphasize high speed characterization techniques for digital CMOS circuit applications and bridging between circuit performance and characteristics of MOSFETs and other circuit elements. Detailed examples are presented throughout, many of which are equally applicable to other microelectronic technologies as well. The authors' overarching goal is to provide students and technology practitioners alike a practical guide to the disciplined design and use of test structures that give unambiguous information on the parametrics and performance of digital CMOS technology.
Soun is nought but air y-broke -Geoffrey Chaucer end of the 14th century Traditionally, acoustics has formed one of the fundamental branches of physics. In the twentieth century, the ?eld has broadened considerably and become - creasingly interdisciplinary. At the present time, specialists in modern acoustics can be encountered not only in physics departments, but also in electrical and mechanical engineering departments, as well as in mathematics, oceanography, and even psychology departments. They work in areas spanning from musical instruments to architecture to problems related to speech perception. Today, six hundred years after Chaucer made his brilliant remark, we recognize that sound and acoustics is a discipline extremely broad in scope, literally covering waves and vibrations in all media at all frequencies and at all intensities. This series of scienti?c literature, entitled Modern Acoustics and Signal P- cessing (MASP), covers all areas of today's acoustics as an interdisciplinary?eld. It offers scienti?c monographs, graduate-level textbooks, and reference materials in such areas as architectural acoustics, structural sound and vibration, musical acoustics, noise, bioacoustics, physiological and psychological acoustics,speech, ocean acoustics, underwater sound, and acoustical signal processing.
This advanced textbook provides a comprehensive survey of hardware and software architectural principles and methods of computer systems organization and design. It covers both CISC and RISC processors in detail, presenting Pentium, PowerPC, MIPS, SPARC and Itanium. In addition, assembly language programming for both CISC (Pentium) and RISC (MIPS) processors is covered in detail. Numerous assembly language code examples are included to give hands-on experience to students. These examples are not code fragments, but completely working programs that the students can run when they download the free assemblers. Topics and features: * Detailed discussion of digital logic and memory design * Concepts are related to practical designs and implementations * Presentation of material is suitable for self-study * Extensive examples and figures are used to help students grasp the concepts * Large number of end-of-chapter exercises will reinforce the concepts discussed in the chapter * Free assembler information for students to download from book website * Each chapter begins with an overview and ends with a summary.
UNDERSTANDING PHYSICS is an innovative introductory course designed for students preparing to enter careers in fields outside of science or engineering, including students planning to teach, or already teaching, in K-12 classrooms. It is inspired by the famous Project Physics Course, which became known for its success in inspiring students with the excitement of physics by placing its concepts within a broader humanistic context.||UNDERSTANDING PHYSICS enables students to gain a full appreciation of physics both as a discipline and as a body of knowledge: a sense of what the concepts mean, where they came from, and why we think we know what we know. The course is among the first to accommodate recommendations of the "e;National Science Education Standards"e; from the National Academy of Sciences and the "e;Benchmarks for Science Literacy"e; from Project 2061 at the college level. Understanding Physics also incorporates the most recent advances in understanding how students learn physics and where they encounter difficulties, and it offers great flexibility to instructors to adapt the course to the needs of their students and to their own needs and interests.||The course components - textbook, student guide, instructor guide - all work together to provide students with an integrated experience in physics. |*The text provides a conceptual framework and connecting narrative for the course that promotes an active engagement with the material. |*Each chapter contains questions designed to help students confirm what they have learned as well as questions to encourage them to go beyond the reading, in individual study, laboratory work, and group discussion. |*The student guide provides both written and hands-on activities for enhancing understanding|*The suggested laboratory work includes in-depth explorations, student-designed inquiries, and text-related mini-explorations that may be used as hands-on activities or as demonstrations with student participation.
This is the second of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self -contained and accessible to the nonspecialist. Part II concerns the theory of monotone operators. It is divided into two subvolumes, II/A and II/B, which form a unit. The present Part II/A is devoted to linear monotone operators. It serves as an elementary introduction to the modern functional analytic treatment of variational problems, integral equations, and partial differential equations of elliptic, parabolic and hyperbolic type. This book also represents an introduction to numerical functional analysis with applications to the Ritz method along with the method of finite elements, the Galerkin methods, and the difference method. Many exercises complement the text. The theory of monotone operators is closely related to Hilbert's rigorous justification of the Dirichlet principle, and to the 19th and 20th problems of Hilbert which he formulated in his famous Paris lecture in 1900, and which strongly influenced the development of analysis in the twentieth century.
Based on the interactive program Interquanta, Quantum Mechanics on the Macintosh, uses extensive 3-D graphics to guide the student through computer experiments in the quantum mechanics of free particle motion, bound states and scattering, tunneling, two-particle interactions, and more. It also includes a section on special functions of mathematical physics. With more than 200 problems, the text and programs provide students with practical experiences in using such hard-to-visualize concepts as complex amplitudes, eigenvalues, and scattering cross sections. The diskette included with the book provides two versions of the programs, one for use in computers with a mathematical coprocessor, the other optimized for machines without a coprocessor. For this new edition the software has been updated and extended.
A collection of essays by a Nobel Prize Laureate on a wide range of critical issues facing the world, and the role of scientists in solving these problems. Kendall has been closely involved with the Union of Concerned Scientists, a group that began as an informal assocation at MIT in 1969 to protest US involvement in Vietnam and is today an organization with an annual budget exceeding $6 million, with 100,000 supporters worldwide. UCD is today a voice of authority in US government science policy, particularly with regard to environment issues, most recently the worldwide initiatives on global warming. Together, these essays represent both the sucessses and failures of science to impact public policy, the challenges facing scientists, and offers practical guidelines for involvement in science policy. The essays are roughly chronological, organized by subject with introductions, beginning with the controversies on nuclear power safety and Three Mile Island,then followed by sections on national security issues, global environmental and resource problems,and radioactive cleanup and other current issues. Kendall's Nobel Prize lecture as well as a more popular version thereof is also included (and is the only really technical material in the book). The photos in the book are Kendall's, from an 1992 exhibition of his work. Henry Kendall was awarded the Nobel Prize in physics (jointly with J.I.Friedman and R.E. Taylor) in 1990 for his research in the structure of the proton and netron. In 1969, he was one of a group of physicist who founded the Union of Concerned Scientists (UCS) and is currently Chairman of its Board of Directors.
Grid Integration and Dynamic Impact of Wind Energy details the integration of wind energy resources to the electric grid worldwide. Authors Vijay Vittal and Raja Ayyanar include detailed coverage of the power converters and control used in interfacing electric machines and power converters used in wind generators, and extensive descriptions of power systems operation and control to accommodate large penetration of wind resources.Key concepts will be illustrated through extensive power electronics and power systems simulations using software like MATLAB, Simulink and PLECS. The book addresses real world problems and solutions in the area of grid integration of wind resources, and will be a valuable resource for engineers and researchers working in renewable energy and power.
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