{"title":"Clearance Sale - Math \u0026 Science","description":"\u003cp\u003eSave up to 70% with our Warehouse Sale. Hurry, ends July 23. To shop the Clearance by discount or category, \u003ca href=\"https:\/\/store.doverpublications.com\/pages\/clearance\" title=\"All Clearance Sale\"\u003eclick here\u003c\/a\u003e.\u003c\/p\u003e","products":[{"product_id":"9780486229478","title":"Sundials","description":"\u003cdiv\u003e\u003cdiv\u003e\n\u003cp\u003eHave you every wanted to build a sundial or to understand how one works? Then you have probably been frustrated as you search vainly for help. Most books on the subject are either rare out-of-print works published centuries ago and available only in highly specialized collections, or highly complicated treatises whose information is hidden behind frightening arrays of involved formulas. But now your search is over. This book is designed to meet sundialing needs at either the simple or the sophisticated level. \u003cbr\u003eAlbert E. Waugh, professor and administrator at the University of Connecticut for 40 years, and an expert on the subject of sundials and their curious history, presents, on the one hand, a rigorous appraisal of the science of sundials, including mathematical treatment and an explanation of the pertinent astronomical background; on the other hand, he presents simple and non-technical treatments such that several of the dials can be built by children!\u003cbr\u003eThe subject matter is arranged in 19 chapters, each covering a different aspect of dialing science. All the common types of dials are covered, but the reader can also learn about analemmatic dials, polar dials, equatorial dials, portable dials, memorial dials, armillary spheres, reflected ceiling dials, cross dials, and old-fashioned noon marks. There are also sections on dial furniture, mottoes, the actual layout out of a dial, the equation of time, finding time in other cities, how to find the meridian, how to find time by moonlight — even how to estimate time from the length of one's own shadow! Directions are given for designing dials for any part of the country, or any place in the world. The author has designed many dials, and his text is filled with helpful hints based on his own personal experience. There are over 100 illustrations, charts, and tables, followed by an appendix which is filled with material which reduces or eliminates the need for calculation on the part of the reader. \u003c\/p\u003e\n\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\n\u003c\/div\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003eReprint of the original 1973 edition.\u003c\/div\u003e sun dials;aeronautical engineering;aircraft maintenance;celestial sphere;magnetic north;navigational instruments;celestial navigation;deficit spending;flower bed;flat surface;strong winds;true north;cast iron;50th wedding;flower garden;tree trunk;conversation piece;rose garden;wedding anniversary;aerospace;propulsion;fundamentals;sextants;relativity;armillary;sundials;mayall;declination;stoneman;handbook;timekeeping;rohr;trigonometry;roses;dialing;yesterday;manual;equatorial;patio;graphical;longitude;latitude;horizontal;vertical;bauer;pedestal;noon;assemble;nautical;brass;attach;sturdy;equation;instrument;backyard;item;yard;books on wedding anniversaries;books on magnetic norths;books on deficit spendings;books on roses;books on flat surfaces;books on tree trunks;books on declinations;books on instruments;books on rohr;books on true norths;books on strong winds;books on cast irons;books on noons;books on fundamentals;books on equatorials;books on bauer;books on celestial navigations;books on patios;books on items;books on aeronautical engineerings;books on brasses;books on trigonometries;books on handbooks;books on navigational instruments;books on relativities;books on propulsions;books on mayall;books on aerospaces;books on latitudes;assembling;books on conversation pieces;books on sextants;books on equations;books on longitude;books on rose gardens;books on manuals;books on flower gardens;books on stoneman;books on yesterdays;books on sundials;books on flower beds","brand":"Albert E. Waugh","offers":[{"title":"Default Title","offer_id":47159328276801,"sku":"9780486229478","price":10.47,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0812\/3262\/5985\/products\/9780486229478.jpg?v=1710181510"},{"product_id":"9780486240619","title":"An Introduction to Information Theory","description":"\u003cdiv\u003e\u003cdiv\u003e\u003cp\u003e\"Uncommonly good...the most satisfying discussion to be found.\" — \u003ci\u003eScientific American.\u003cbr\u003e\u003c\/i\u003eBehind the familiar surfaces of the telephone, radio, and television lies a sophisticated and intriguing body of knowledge known as information theory. This is the theory that has permitted the rapid development of all sorts of communication, from color television to the clear transmission of photographs from the vicinity of Jupiter. Even more revolutionary progress is expected in the future.\u003cbr\u003eTo give a solid introduction to this burgeoning field, J. R. Pierce has revised his well-received 1961 study of information theory for a second edition. Beginning with the origins of the field, Dr. Pierce follows the brilliant formulations of Claude Shannon and describes such aspects of the subject as encoding and binary digits, entropy, language and meaning, efficient encoding, and the noisy channel. He then goes beyond the strict confines of the topic to explore the ways in which information theory relates to physics, cybernetics, psychology, and art. Mathematical formulas are introduced at the appropriate points for the benefit of serious students. A glossary of terms and an appendix on mathematical notation are proved to help the less mathematically sophisticated.\u003cbr\u003eJ. R. Pierce worked for many years at the Bell Telephone Laboratories, where he became Director of Research in Communications Principles. His \u003ci\u003eIntroduction to Information Theory\u003c\/i\u003e continues to be the most impressive nontechnical account available and a fascinating introduction to the subject for lay readers.\u003c\/p\u003e\u003c\/div\u003e\u003c\/div\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cdiv\u003eReprint of \u003ci\u003eSymbols, Signals and Noise: The Nature and Process of Communication\u003c\/i\u003e, 1980.\u003c\/div\u003e signal; book; cancelling; math; design; abstract; number; artificial; understanding; music; light; data; probability; science; programming; equations; fundamentals; balance; text; intelligence; visualization; technical; matter; textbook; library; ","brand":"John R. Pierce","offers":[{"title":"Default Title","offer_id":47159443128641,"sku":"9780486240619","price":15.4,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0812\/3262\/5985\/products\/9780486240619.jpg?v=1710181864"},{"product_id":"9780486432472","title":"Group Theory and Quantum Mechanics","description":"\u003cdiv\u003e\u003cp\u003eThis graduate-level text develops the aspects of group theory most relevant to physics and chemistry (such as the theory of representations) and illustrates their applications to quantum mechanics. The first five chapters focus chiefly on the introduction of methods, illustrated by physical examples, and the final three chapters offer a systematic treatment of the quantum theory of atoms, molecules, and solids.\u003cbr\u003eThe formal theory of finite groups and their representation is developed in Chapters 1 through 4 and illustrated by examples from the crystallographic point groups basic to solid-state and molecular theory. Chapter 5 is devoted to the theory of systems with full rotational symmetry, Chapter 6 to the systematic presentation of atomic structure, and Chapter 7 to molecular quantum mechanics. Chapter 8, which deals with solid-state physics, treats electronic energy band theory and magnetic crystal symmetry. A compact and worthwhile compilation of the scattered material on standard methods, this volume presumes a basic understanding of quantum theory.\u003c\/p\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e \u003cp\u003eReprint of the McGraw-Hill Book Company, New York, 1964 edition.\u003c\/p\u003e\n\u003c\/div\u003e","brand":"Michael Tinkham","offers":[{"title":"Default Title","offer_id":47160287428929,"sku":"9780486432472","price":17.47,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0812\/3262\/5985\/files\/9780486432472.jpg?v=1720112013"},{"product_id":"9780486457666","title":"Optimal Control","description":"\u003cdiv\u003eThis augmented edition of a respected text teaches the reader how to use linear quadratic Gaussian methods effectively for the design of control systems. It explores linear optimal control theory from an engineering viewpoint, with step-by-step explanations that show clearly how to make practical use of the material.\u003cbr\u003eThe three-part treatment begins with the basic theory of the linear regulator\/tracker for time-invariant and time-varying systems. The Hamilton-Jacobi equation is introduced using the Principle of Optimality, and the infinite-time problem is considered. The second part outlines the engineering properties of the regulator. Topics include degree of stability, phase and gain margin, tolerance of time delay, effect of nonlinearities, asymptotic properties, and various sensitivity problems. The third section explores state estimation and robust controller design using state-estimate feedback. \u003cbr\u003eNumerous examples emphasize the issues related to consistent and accurate system design. Key topics include loop-recovery techniques, frequency shaping, and controller reduction, for both scalar and multivariable systems. Self-contained appendixes cover matrix theory, linear systems, the Pontryagin minimum principle, Lyapunov stability, and the Riccati equation. Newly added to this Dover edition is a complete solutions manual for the problems appearing at the conclusion of each section. \u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\u003cdiv\u003eReprint of the Prentice Hall, Englewood Cliffs, New Jersey, 1990 edition.\u003c\/div\u003e\u003c\/div\u003e","brand":"Brian D. O. Anderson and John B. Moore","offers":[{"title":"Default Title","offer_id":47160603476289,"sku":"9780486457666","price":24.5,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0812\/3262\/5985\/products\/9780486457666_df177df7-da1f-4043-b732-a9796e5ff114.jpg?v=1710194402"},{"product_id":"9780486469331","title":"Feedback Control Theory","description":"\u003cdiv\u003eAn excellent introduction to feedback control system design, this book offers a theoretical approach that captures the essential issues and can be applied to a wide range of practical problems. Its explorations of recent developments in the field emphasize the relationship of new procedures to classical control theory, with a focus on single input and output systems that keeps concepts accessible to students with limited backgrounds. The text is geared toward a single-semester senior course or a graduate-level class for students of electrical engineering.\u003cbr\u003eThe opening chapters constitute a basic treatment of feedback design. Topics include a detailed formulation of the control design program, the fundamental issue of performance\/stability robustness tradeoff, and the graphical design technique of loopshaping. Subsequent chapters extend the discussion of the loopshaping technique and connect it with notions of optimality. Concluding chapters examine controller design via optimization, offering a mathematical approach that is useful for multivariable systems.\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\u003cdiv\u003e\u003cdiv\u003eReprint of the Macmillan Publishing Co., New York, 1992 edition.\u003c\/div\u003e\u003c\/div\u003e\u003c\/div\u003e math and science;science and technology;math theory;math education;mathematics;technology and engineering;beginner engineering;introduction to engineering;classic control theory;control design program;performance stability robustness tradeoff;graphic design;practical problems;loop shaping technique;controller design via optimization;multivariable system","brand":"John C. Doyle, Bruce A. Francis and Allen R. Tannenbaum","offers":[{"title":"Default Title","offer_id":47160719999297,"sku":"9780486469331","price":11.17,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0812\/3262\/5985\/products\/9780486469331.jpg?v=1710207103"},{"product_id":"9780486649405","title":"Ordinary Differential Equations","description":"\u003cdiv\u003e\u003cp\u003eThis unusually well-written, skillfully organized introductory text provides an exhaustive survey of ordinary differential equations — equations which express the relationship between variables and their derivatives. In a disarmingly simple, step-by-step style that never sacrifices mathematical rigor, the authors — Morris Tenenbaum of Cornell University, and Harry Pollard of Purdue University — introduce and explain complex, critically-important concepts to undergraduate students of mathematics, engineering and the sciences.\u003cbr\u003eThe book begins with a section that examines the origin of differential equations, defines basic terms and outlines the general solution of a differential equation-the solution that actually contains \u003ci\u003eevery \u003c\/i\u003esolution of such an equation. Subsequent sections deal with such subjects as: integrating factors; dilution and accretion problems; the algebra of complex numbers; the linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas; and Picard's Method of Successive Approximations.\u003cbr\u003eThe book contains two exceptional chapters: one on series methods of solving differential equations, the second on numerical methods of solving differential equations. The first includes a discussion of the Legendre Differential Equation, Legendre Functions, Legendre Polynomials, the Bessel Differential Equation, and the Laguerre Differential Equation. Throughout the book, every term is clearly defined and every theorem lucidly and thoroughly analyzed, and there is an admirable balance between the \u003ci\u003etheory \u003c\/i\u003eof differential equations and their \u003ci\u003eapplication. \u003c\/i\u003eAn abundance of solved problems and practice exercises enhances the value of \u003ci\u003eOrdinary Differential Equations \u003c\/i\u003eas a classroom text for undergraduate students and teaching professionals. The book concludes with an in-depth examination of existence and uniqueness theorems about a variety of differential equations, as well as an introduction to the theory of determinants and theorems about Wronskians.\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cdiv\u003eReprint of the Harper \u0026amp; Row, Publishers, 1963 edition.\u003c\/div\u003e math; calculus; partial differential equations; formula; step-by-step; theory; practice; exercise; terms; problem solving; resistors; basics; sets; physics; model; strang; system; text; engineers; Classical Quantum Mechanics; Medicine; Biology; Chemistry; Astronomy; Vibration; Economics; blood flow; heart; drugs; orbit; planets; moons; satellites; mechanical; concepts; Neuroscience; Ecosystem; mathematics; engineering; science; Cardiology; Weather Prediction; problems; circuits; capacitors  ","brand":"Morris Tenenbaum and Harry Pollard","offers":[{"title":"Default Title","offer_id":47160812699969,"sku":"9780486649405","price":31.47,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0812\/3262\/5985\/files\/9780486649405_5442faf3-e44e-461c-a35b-683c7598ac39.jpg?v=1745949288"},{"product_id":"9780486654072","title":"Advanced Strength of Materials","description":"\u003cdiv\u003e\u003cdiv\u003e\u003cp\u003eFour decades ago, J.P. Den Hartog, then Professor of Mechanical Engineering at Massachusetts Institute of Technology, wrote \u003ci\u003eStrength of Materials, \u003c\/i\u003ean elementary text that still enjoys great popularity in engineering schools throughout the world. Widely used as a classroom resource, it has also become a favorite reference and refresher on the subject among engineers everywhere.\u003cbr\u003eThis is the first paperback edition of an equally successful text by this highly respected engineer and author. \u003ci\u003eAdvanced Strength of Materials \u003c\/i\u003etakes this important subject into areas \u003ci\u003eof \u003c\/i\u003egreater difficulty, masterfully bridging its elementary aspects and its most formidable advanced reaches. The book reflects Den Hartog's impressive talent for making lively, discursive and often witty presentations of his subject, and his unique ability to combine the scholarly insight of a distinguished scientist with the practical, problem-solving orientation of an experienced industrial engineer.\u003cbr\u003eThe concepts here explored in depth include torsion, rotating disks, membrane stresses in shells, bending of flat plates, beams on elastic foundation, the two-dimensional theory of elasticity, the energy method and buckling. The presentation is aimed at the student who has a one-semester course in elementary strength of materials. The book includes an especially thorough and valuable section of problems and answers which give both students and professionals practice in techniques and clear illustrations of applications.\u003c\/p\u003e\u003c\/div\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e \u003cp\u003eReprint of the McGraw-Hill Book Co., New York, 1952 edition.\u003c\/p\u003e\n\u003c\/div\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eBonus Editorial Feature\u003c\/b\u003e\u003c\/p\u003e\u003cdiv\u003e \u003cp\u003eJ. P. Den Hartog: The Reprint Engineer  \u003c\/p\u003e\n\u003cp\u003eJ. P. Den Hartog (1901–1989), who taught for most of his career at MIT, was one of the founders of the Dover reprint program in engineering. As the author of several books that Dover reprinted and still has in print, and as an advisor from the 1950s until just a few years before his death in 1989, Professor Den Hartog gave invaluable advice concerning books of lasting interest and importance in his field.  \u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003eNot many books in engineering have a productive shelf life spanning several decades. Among the exceptions are these four books of Professor Den Hartog, which Dover reprinted and occasionally revised in later printings from 1961 through 1987: \u003ci\u003eMechanics,\u003c\/i\u003e 1961, \u003ci\u003eStrength of Materials,\u003c\/i\u003e 1961, \u003ci\u003eMechanical Vibrations,\u003c\/i\u003e 1985, and \u003ci\u003eAdvanced Strength of Materials, \u003c\/i\u003e1987. Still widely read and cited by authors in these areas, Den Hartog's books are a tribute to his gift for exposition and clarity.  \u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003eThe J. P. Den Hartog Award, established in 1987, is presented in recognition of lifetime contributions to the teaching and practice of vibration engineering.\u003c\/p\u003e\n\u003c\/div\u003e","brand":"J. P. Den Hartog","offers":[{"title":"Default Title","offer_id":47160818630977,"sku":"9780486654072","price":15.37,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0812\/3262\/5985\/products\/9780486654072.jpg?v=1710207688"},{"product_id":"9780486663524","title":"Introduction to Topology","description":"\u003cdiv\u003e\n\u003cdiv\u003eHighly regarded for its exceptional clarity, imaginative and instructive exercises, and fine writing style, this concise book offers an ideal introduction to the fundamentals of topology. Originally conceived as a text for a one-semester course, it is directed to undergraduate students whose studies of calculus sequence have included definitions and proofs of theorems. The book's principal aim is to provide a simple, thorough survey of elementary topics in the study of collections of objects, or sets, that possess a mathematical structure.\u003c\/div\u003e\n\u003cdiv\u003eThe author begins with an informal discussion of set theory in Chapter 1, reserving coverage of countability for Chapter 5, where it appears in the context of compactness. In the second chapter Professor Mendelson discusses metric spaces, paying particular attention to various distance functions which may be defined on Euclidean \u003ci\u003en\u003c\/i\u003e-space and which lead to the ordinary topology. \u003c\/div\u003e\n\u003cdiv\u003eChapter 3 takes up the concept of topological space, presenting it as a generalization of the concept of a metric space. Chapters 4 and 5 are devoted to a discussion of the two most important topological properties: connectedness and compactness. Throughout the text, Dr. Mendelson, a former Professor of Mathematics at Smith College, has included many challenging and stimulating exercises to help students develop a solid grasp of the material presented.\u003c\/div\u003e\n\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003eReprint of the Allyn and Bacon, Inc., Boston, 1975 edition.\u003c\/div\u003e science; engineering; college; Physics; technology; medicine; DNA; String Set Graph Game Theory; study; basics; abstract linear algebra; exercise; sequence; calculus; Sets; point; neighborhood; elements; spaces; connected; containment; distance; products; Machine Learning; Robotics; space; Surfaces; Closure; proofs; partition; stretching; twist; shapes; math; CT; Navigation System; Security; Economics; Neuroscience; Social Network; containment; Biology; internet; textbooks; data science analysis; compact; limits; discrete mathematics; turbulence; Quantum Field Theory; path; communication; connections; differential equations; cryptography; composition; manifold; concept; game design; phenomena; patterns; bend; MRI; GIS ","brand":"Bert Mendelson","offers":[{"title":"Default Title","offer_id":47160831279425,"sku":"9780486663524","price":11.9,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0812\/3262\/5985\/files\/9780486663524_def3cd89-f9e5-4db2-8ca5-0ca335110cc8.jpg?v=1745948938"},{"product_id":"9780486673554","title":"Group Theory and Chemistry","description":"\u003cdiv\u003e\u003cp\u003eGroup theoretical principles are an integral part of modern chemistry. Not only do they help account for a wide variety of chemical phenomena, they simplify quantum chemical calculations. Indeed, knowledge of their application to chemical problems is essential for students of chemistry. This complete, self-contained study, written for advanced undergraduate-level and graduate-level chemistry students, clearly and concisely introduces the subject of group theory and demonstrates its application to chemical problems.\u003cbr\u003eTo assist chemistry students with the mathematics involved, Professor Bishop has included the relevant mathematics in some detail in appendixes to each chapter. The book can then be read either as an introduction, dealing with general concepts (ignoring the appendixes), or a fairly comprehensive description of the subject (including the appendixes). In any case, the author assures students that \"the mathematics involved in actually applying, as opposed to deriving, group theoretical formulae is quite trivial. It involves little more than adding and multiplying.\" \u003c\/p\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003eReprint of the Clarendon Press, Oxford, England, 1973 edition.\u003c\/div\u003e","brand":"David M. Bishop","offers":[{"title":"Default Title","offer_id":47160836522305,"sku":"9780486673554","price":17.5,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0812\/3262\/5985\/products\/9780486673554.jpg?v=1710207805"},{"product_id":"9780486268514","title":"Shapes, Space, and Symmetry","description":"\u003cdiv\u003e\u003cdiv\u003e\"Altogether a most instructive, entertaining, and esthetically pleasing book.\" — \u003ci\u003eScience.\u003cbr\u003e\u003c\/i\u003eSince the ancient Greeks, the visualization of space has been a challenge that has intrigued men of learning. Through centuries of thoughtful looking, a number of three-dimensional figures or polyhedral, as the Greeks called them, have been discovered, admired, and wondered at for their mathematical elegance and beauty. And they have been put to use in remarkably diverse ways by engineers and builders, chemists and crystallographers, architects and sculptors.\u003cbr\u003eThis book describes very clearly and simply, and illustrates with beautiful photographs of models, a great number of three-dimensional figures, all but a few consisting of plane faces bounded by straight lines. It examines the nine regular solids — the five commonly called Platonic, described by Theaetetus in the fourth century B.C., and the four called Kepler-Poinsot, two each of which were discovered by Kepler and Poinsot many centuries later. And it examines many variations obtained by truncation, stellation, dualization, and compounding.\u003cbr\u003eWriting for the layman as well as the student or professional in mathematics, Alan Holden explains the structure of the figures and demonstrates how they can be used to explain mathematics visually rather than by symbol systems, an effort hailed by \u003ci\u003eScientific American\u003c\/i\u003e magazine as \"a victory of clear, connected thinking over the theorematic method.\" At the end of the book the author includes a section containing instructions for constructing cardboard models.\u003c\/div\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003eReprint of the Columbia University Press, New York, 1971 edition.\u003c\/div\u003e cardboard models; structure of figures; symbol systems; theorematic method; instructional model guide; spacial modeling; math; mathematics; paper modeling; mathematical shapes; geometrical design; explain math; illustrated math models; crystallographer; chemist; engineering; three dimensional models; nine regular solids; platonic; science; geometry; Geometric shapes; Regular Solids; Cubes; Iconsahedron; Symmetry","brand":"Alan Holden","offers":[{"title":"Default Title","offer_id":47179445928257,"sku":"9780486268514","price":11.87,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0812\/3262\/5985\/products\/9780486268514.jpg?v=1710176615"},{"product_id":"9780486483689","title":"A First Course in Graph Theory","description":"\u003cdiv\u003eThis comprehensive text offers undergraduates a remarkably student-friendly introduction to graph theory. Written by two of the field's most prominent experts, it takes an engaging approach that emphasizes graph theory's history. Unique examples and lucid proofs provide a sound yet accessible treatment that stimulates interest in an evolving subject and its many applications.\u003cbr\u003eOptional sections designated as \"excursion\" and \"exploration\" present interesting sidelights of graph theory and touch upon topics that allow students the opportunity to experiment and use their imaginations. Three appendixes review important facts about sets and logic, equivalence relations and functions, and the methods of proof. The text concludes with solutions or hints for odd-numbered exercises, in addition to references, indexes, and a list of symbols.\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003eReprint of \u003ci\u003eIntroduction to Graph Theory,\u003c\/i\u003e the McGraw-Hill Book Company, Inc., New York, 2004.\u003c\/div\u003e study of graphs; mathematics; math books; graphic methods; modeling pairwise relations; vertices; nodes and points; edges arcs and lines; discrete mathematics; proofs; sets and logic; equivalence relations; functions; methods of proofs; vertexes; complex; science and math; mathematics; graph theory; history of mathematics; history of graph theory","brand":"Gary Chartrand and Ping Zhang","offers":[{"title":"Default Title","offer_id":47179559469377,"sku":"9780486483689","price":21.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0812\/3262\/5985\/products\/9780486483689.jpg?v=1710193759"},{"product_id":"9780486826899","title":"A Mathematical Companion to Quantum Mechanics","description":"\u003cdiv\u003eThis original 2019 work, based on the author's many years of teaching at Harvard University, examines mathematical methods of value and importance to advanced undergraduates and graduate students studying quantum mechanics. Its intended audience is students of mathematics at the senor university level and beginning graduate students in mathematics and physics.\u003cbr\u003e Early chapters address such topics as the Fourier transform, the spectral theorem for bounded self-joint operators, and unbounded operators and semigroups. Subsequent topics include a discussion of Weyl's theorem on the essential spectrum and some of its applications, the Rayleigh-Ritz method, one-dimensional quantum mechanics, Ruelle's theorem, scattering theory, Huygens' principle, and many other subjects.\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003eDover Original.\u003c\/div\u003e","brand":"Shlomo Sternberg","offers":[{"title":"Default Title","offer_id":47179862540609,"sku":"9780486826899","price":20.97,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0812\/3262\/5985\/products\/9780486826899.jpg?v=1710191993"},{"product_id":"9780486779348","title":"Physics and Music","description":"This foundational text is written for students who want to go beyond the perceptual stage of music to learn how musical sound is created and perceived. It surveys a wide range of topics related to acoustics, beginning with a brief history of the art and science of music. Succeeding chapters explore the general principles of sound, musical scales, the primary ways in which sound can be generated, the characteristics of instruments, the use of mechanical and electronic recording devices, hi-fi stereophonic and quadraphonic sound, the design of electronic musical instruments, and architectural acoustics.\u003cbr\u003eComprehensive yet accessible\u003ci\u003e, Physics and Music\u003c\/i\u003e includes over 300 diagrams, photographs, and tables. Each chapter concludes with questions, problems, and projects, in addition to references for further study. 1980 edition.\u003cbr\u003e\u003cbr\u003e\u003cdiv\u003eReprint of the Saunders College\/Holt, Rinehart and Winston, New York, 1980 edition.\u003c\/div\u003e science of sound, physics, mathematics, textbook, harvey e white, donald h white, science of musical sound, acoustics, principles of sounds, musical scales, recording devices, stereophonic sound, quadraphonic sound, architectural acoustics, musical instruments, hi fi;Physics and Music; Science of Sound; Acoustics and Physics; Musical Instruments Construction","brand":"Harvey E. White and Donald H. 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