101 Careers in MathematicsThis third edition of the immensely popular 101 Careers in Mathematics contains updates on the career paths of individuals profiled in the first and second editions, along with many new profiles. No career counselor should be without this valuable resource.
A Mathematician's ApologyG. H. Hardy was one of this century's finest mathematical thinkers, renowned among his contemporaries as a'real mathematician … the purest of the pure'. This is a unique account of the fascination of mathematics and of one of its most compelling exponents in modern times.
A Wealth of Numbers : An Anthology of 500 Years of Popular Mathematics WritingRanging from the late fifteenth to the late twentieth century, and drawing from books, newspapers, magazines, and websites, A Wealth of Numbers includes recreational, classroom, and work mathematics; mathematical histories and biographies; accounts of higher mathematics; explanations of mathematical instruments; discussions of how math should be taught and learned; reflections on the place of math in the world; and math in fiction and humor.
Adventures In MathematicsThough elementary in nature, this book deals with fundamental issues in mathematics — number, algebra, geometry (both Euclidean and non-Euclidean) and topology. These subjects, on an advanced level, are the same ones with which much of current mathematical research is concerned and were themselves research topics of earlier periods.
Basic Language Of MathematicsThis book originates as an essential underlying component of a modern, imaginative three-semester honors program (six undergraduate courses) in Mathematical Studies. In its entirety, it covers Algebra, Geometry and Analysis in One Variable.
Beautiful MathematicsThis book is about beautiful mathematical concepts and creations. Mathematical ideas have an aesthetic appeal that can be appreciated by those who have the time and dedication to investigate. Mathematical topics are presented in the categories of words, images, formulas, theorems, proofs, solutions, and unsolved problems. Readers will investigate exciting mathematical topics ranging from complex numbers to arithmetic progressions, from Alcuin's sequence to the zeta function, and from hypercubes to infinity squared.
Bridge to Abstract MathematicsBridge to Abstract Mathematics will prepare the mathematical novice to explore the universe of abstract mathematics. The book is intended as the primary text for an introductory course in proving theorems, as well as for self-study or as a reference
Discrete Mathematics with ApplicationsThis approachable text studies discrete objects and the relationsips that bind them. It helps students understand and apply the power of discrete math to digital computer systems and other modern applications.
Essential Primary MathematicsThis book aims to support student teachers and current practitioners in teaching mathematics in effective and creative ways.
Ingenuity In MathematicsSit with this book for half to three-quarters of an hour and you will have mastered an elegant and pleasing bit of mathematics. Nineteen independent essays on topics including number theory, geometry, combinatorics, logic, and probability.
Mathematics and Life SciencesThe book provides a unique collection of in-depth mathematical, statistical, and modeling methods and techniques for life sciences, as well as their applications in a number of areas within life sciences.
Mathematics and Religion : Our Languages of Sign and SymbolIn this volume, Javier Leach, a mathematician and Jesuit priest, leads a fascinating study of the historical development of mathematical language and its influence on the evolution of metaphysical and theological languages. Leach traces three historical moments of change in this evolution: the introduction of the deductive method in Greece, the use of mathematics as a language of science in modern times, and the formalization of mathematical languages in the nineteenth and twentieth centuries.
Mathematics for the CuriousPeter Higgins provides clear explanations of the more mysterious features of childhood mathematics as well as novelties and connections to prove that mathematics can be enjoyable and full of surprises.
Mathematics for the ImaginationMathematics for the Imagination provides an accessible and entertaining investigation into mathematical problems in the world around us. From world navigation, family trees, and calendars to patterns, tessellations, and number tricks, this informative and fun new book helps you to understand the maths behind real-life questions and rediscover your arithmetical mind.
Nets, Puzzles, and Postmen : An Exploration of Mathematical ConnectionsThe mathematics of networks form the basis of many fascinating puzzles and problems, from tic-tac-toe and circular sudoku to the'Chinese Postman Problem'(can he deliver all his letters without traversing the same street twice?). Peter Higgins shows how such puzzles as well as many real-world phenomena are underpinned by the same deep mathematical structure. Understanding mathematical networks can give us remarkable new insights into them all.
The Princeton Companion to MathematicsThe Princeton Companion to Mathematics surveys the most active and exciting branches of pure mathematics, providing the context and broad perspective that are vital at a time of increasing specialization in the field
Truth And AssertibilityThe book is a research monograph on the notions of truth and assertibility as they relate to the foundations of mathematics. It is aimed at a general mathematical and philosophical audience.
Algebra
Algebras of Multiplace FunctionsThis monograph is the first one in English mathematical literature which is devoted to the theory of algebras of functions of several variables. The book contains a comprehensive survey of main topics of this interesting theory. In particular the authors study the notion of Menger algebras and its generalizations in very systematic way.
Backgrounds Of Arithmetic And Geometry: An IntroductionThe book is an introduction to the foundations of Mathematics. The use of the constructive method in Arithmetic and the axiomatic method in Geometry gives a unitary understanding of the backgrounds of geometry, of its development and of its organic link with the study of real numbers and algebraic structures.
Foundations of Algebraic TopologyThe need for an axiomatic treatment of homology and cohomology theory has long been felt by topologists. Professors Eilenberg and Steenrod present here for the first time an axiomatization of the complete transition from topology to algebra
Homework Helpers'Homework Helpers: Algebra, Revised Edition, will help students understand topics such as linear equalities and inequalities, factoring polynomials, graphing functions, rational functions, quadratic equations, and word problems'--
Lectures On Algebra - Volume 1This book is a timely survey of much of the algebra developed during the last several centuries including its applications to algebraic geometry and its potential use in geometric modeling.The present volume makes an ideal textbook for an abstract algebra course
Linear AlgebraIn the spirit of the author's Basic Language of Mathematics, this companion volume is a careful exposition of the concepts and processes of Linear Algebra. It stresses cautious and clear explanations, avoiding reliance on co-ordinates as much as possible, and with special, but not exclusive, attention to the finite-dimensional situation. It is intended to also serve as a conceptual and technical background for use in geometry and analysis as well as other applications.
Quadrangular AlgebrasThis book introduces a new class of non-associative algebras related to certain exceptional algebraic groups and their associated buildings. Richard Weiss develops a theory of these 'quadrangular algebras' that opens the first purely algebraic approach to the exceptional Moufang quadrangles.
Applied Mathematics
Advances In Interdisciplinary Applied Discrete MathematicsThis book focuses on fields such as consensus and voting theory, clustering, location theory, mathematical biology, and optimization that have seen an upsurge of new and exciting works over the past two decades using discrete models in modern applications.
Applied Computational Mathematics in Social SciencesThis Ebook specifically deals with computations using the NetLogo platform, and is intended for researchers interested in advanced human geography and mathematical modeling studies.
The Handy Math Answer Book'From modern-day challenges such as balancing a checkbook, following the stock market, buying a home, and figuring out credit card finance charges to appreciating historical developments by Pythagoras, Archimedes, Newton, and other mathematicians, this engaging resource addresses more than 1,000 questions related to mathematics.
How Round Is Your Circle? : Where Engineering and Mathematics MeetHow do you draw a straight line? How do you determine if a circle is really round? How Round Is Your Circle? invites readers to explore many of the same fundamental questions that working engineers deal with every day--it's challenging, hands-on, and fun.
Icons of Mathematics : An Exploration of Twenty Key ImagesThe authors present 20 icons of mathematics--that is, geometrical shapes such as the right triangle, the Venn diagram, and the yang and yin symbol--and explore mathematical results associated with them.
Mathematics in Nature : Modeling Patterns in the Natural WorldFrom rainbows, river meanders, and shadows to spider webs, honeycombs, and the markings on animal coats, the visible world is full of patterns that can be described mathematically. Examining such readily observable phenomena, this book introduces readers to the beauty of nature as revealed by mathematics and the beauty of mathematics as revealed in nature.
Matrices: Algebra, Analysis And ApplicationsThis volume deals with advanced topics in matrix theory using the notions and tools from algebra, analysis, geometry and numerical analysis.
Nonplussed! : Mathematical Proof of Implausible IdeasIn Nonplussed!--a delightfully eclectic collection of paradoxes from many different areas of math--popular-math writer Julian Havil reveals the math that shows the truth of these and many other unbelievable ideas. Nonplussed! pays special attention to problems from probability and statistics, areas where intuition can easily be wrong.
DivisionThe world of division is explored in the setting of a hardware store. Through modeling, readers will explore the meaning of division, the connection between division and subtraction, and the relationship between division and multiplication. Appealing photographs and helpful diagrams provide readers with a clear understanding of division.
Mathematical ConstantsHere Steven Finch provides 136 essays, each devoted to a mathematical constant or a class of constants, from the well known to the highly exotic. Topics covered include the statistics of continued fractions, chaos in nonlinear systems, prime numbers, sum-free sets, isoperimetric problems, approximation theory, self-avoiding walks and the Ising model (from statistical physics), binary and digital search trees (from theoretical computer science), the Prouhet-Thue-Morse sequence, complex analysis, geometric probability and the traveling salesman problem. This book will be helpful both to readers seeking information about a specific constant, and to readers who desire a panoramic view of all constants coming from a particular field
Test Your Numerical Aptitude : How to Assess Your Numeracy Skills and Plan Your CareerTest Your Numerical Aptitude will allow those who are uncertain of their numerical ability to build their confidence, slowly and surely, until they are ready to tackle any kind of numerical test. For those who already have some numerical skills, this book will provide a chance to brush up on your knowledge, and to identify further levels of capability.
Constitutional Calculus : The Math of Justice and the Myth of Common SenseIn Constitutional Calculus, Suzuki guides us through the U.S. Constitution and American history to show how mathematics reveals our flaws, finds the answers we need, and moves us closer to our ideals. From the first presidential veto to the debate over mandatory drug testing, the National Security Agency's surveillance program, and the fate of death row inmates, Suzuki draws us into real-world debates and then reveals how math offers a superior compass for decision-making.
Advanced Engineering Analysis: The Calculus Of Variations And Functional Analysis With Applications In MechanicsAdvanced Engineering Analysis is a textbook on modern engineering analysis, covering the calculus of variations, functional analysis, and control theory, as well as applications of these disciplines to mechanics. The book offers a brief and concise, yet complete explanation of essential theory and applications. It contains exercises with hints and solutions, ideal for self-study.
Barycentric Calculus In Euclidean And Hyperbolic Geometry: A Comparative IntroductionThis unique book on barycentric calculus in Euclidean and hyperbolic geometry provides an introduction to the fascinating and beautiful subject of novel triangle centers in hyperbolic geometry along with analogies they share with familiar triangle centers in Euclidean geometry.
Calculus : An Active Approach with ProjectsThis volume contains student and instructor material for the delivery of a two-semester calculus sequence at the undergraduate level. It can be used in conjunction with any textbook. It was written with the view that students who are actively involved inside and outside the classroom are more likely to succeed, develop deeper conceptual understanding, and retain knowledge, than students who are passive recipients of information.
Calculus and Ordinary Differential EquationsProfessor Pearson's book starts with an introduction to the area and an explanation of the most commonly used functions. It then moves on through differentiation, special functions, derivatives, integrals and onto full differential equations. As with other books in the series the emphasis is on using worked examples and tutorial-based problem solving to gain the confidence of students.
Discrete Calculus by AnalogyThe topics covered here usually arise in many branches of science and technology, especially in discrete mathematics, numerical analysis, statistics and probability theory as well as in electrical engineering, but our viewpoint here is that these topics belong to a much more general realm of mathematics.
Free Calculus: A Liberation From Concepts And ProofsConventional calculus is too hard and too complex. Students are forced to learn too many theorems and proofs. In Free Calculus, the author suggests a direct approach to the two fundamental concepts of calculus — differentiation and integration — using two inequalities. Regular calculus is condensed into a single concise chapter. This makes the teaching of physics in step with the calculus teaching.
Regular VariationThis book is a comprehensive account of the theory and applications of regular variation. It is concerned with the asymptotic behaviour of a real function of a real variable x which is'close'to a power of x.
The Everything Guide to Calculus I : A Step-by-step Guide to the Basics of Calculus - in Plain English!Calculus is the basis of all advanced science and math. But it can be very intimidating, especially if you're learning it for the first time! If finding derivatives or understanding integrals has you stumped, this book can guide you through it. This indispensable resource offers hundreds of practice exercises and covers all the key concepts of calculus, including:Limits of a function
Game Theory : Through ExamplesGame Theory Through Examples is a thorough introduction to elementary game theory, covering finite games with complete information. Game Theory Through Examples is a lively introduction to this appealing theory.
Backgrounds Of Arithmetic And Geometry: An IntroductionThe book is an introduction to the foundations of Mathematics. The use of the constructive method in Arithmetic and the axiomatic method in Geometry gives a unitary understanding of the backgrounds of geometry, of its development and of its organic link with the study of real numbers and algebraic structures.
Beyond Measure: A Guided Tour Through Nature, Myth And NumberThis book consists of essays that stand on their own but are also loosely connected. The focus is on how certain numbers, such as the golden and silver means, present themselves within these systems. Part II shows how many of the same numbers and number sequences are related to the modern mathematical study of numbers, dynamical systems, chaos, and fractals.
Connections: The Geometric Bridge Between Art & Science (2nd Edition)The first edition of Connections was chosen by the National Association of Publishers (USA) as the best book in “Mathematics, Chemistry, and Astronomy — Professional and Reference” in 1991. It has been a comprehensive reference in design science, bringing together in a single volume material from the areas of proportion in architecture and design, tilings and patterns, polyhedra, and symmetry. The book presents both theory and practice and has more than 750 illustrations.
Elementary Euclidean Geometry : An IntroductionThis book, first published in 2004, is a genuine introduction to the geometry of lines and conics in the Euclidean plane. Lines and circles provide the starting point, with the classical invariants of general conics introduced at an early stage, yielding a broad subdivision into types, a prelude to the congruence classification. A recurring theme is the way in which lines intersect conics
Geometric InequalitiesAnybody who liked their first geometry course (and some who did not) will enjoy the simply stated geometric problems about maximum and minimum lengths and areas in this book. Many of these already fascinated the Greeks, for example, the problem of enclosing the largest possible area by a fence of given length, and some were solved long ago; but others remain unsolved even today.
Geometric Mechanics and Symmetry : From Finite to Infinite DimensionsGeometric Mechanics and Symmetry is a friendly and fast-paced introduction to the geometric approach to classical mechanics, suitable for a one- or two- semester course for beginning graduate students or advanced undergraduates. It fills a gap between traditional classical mechanics texts and advanced modern mathematical treatments of the subject.
Geometries Of Nature, Living Systems And Human Cognition: New Interactions Of Mathematics With Natural Sciences And HumanitiesThe collection of papers forming this volume is intended to provide a deeper study of some mathematical and physical subjects which are at the core of recent developments in the natural and living sciences. The book explores some far-reaching interfaces where mathematics, theoretical physics, and natural sciences seem to interact profoundly. The main goal is to show that an accomplished movement of geometrisation has enabled the discovery of a great variety of amazing structures and behaviors in physical reality and in living matter.
Geometry : Task & Drill SheetsOur combined resource meets the geometry concepts addressed by the NCTM standards and encourages the students to review the concepts in unique ways. The task sheets introduce the mathematical concepts to the students around a central problem taken from real-life experiences, while the drill sheets provide warm-up and timed practice questions for the students to strengthen their procedural proficiency skills
Groups and GeometryThis book, which was originally published in 1985 and has been translated and revised by the author from notes of a course, is an introduction to certain central ideas in group theory and geometry. Professor Lyndon emphasises and exploits the well-known connections between the two subjects and, whilst keeping the presentation at a level that assumes only a basic background in mathematics, leads the reader to the frontiers of current research at the time of publication.
MeasurementLockhart's Mathematician's Lament outlined how we introduce math to students in the wrong way. Measurement explains how math should be done. With plain English and pictures, he makes complex ideas about shape and motion intuitive and graspable, and offers a solution to math phobia by introducing us to math as an artful way of thinking and living.
New Horizons in GeometryNew Horizons in Geometry represents the fruits of 15 years of work in geometry by a remarkable team of prize-winning authors—Tom Apostol and Mamikon Mnatsakanian. It serves as a capstone to an amazing collaboration. Apostol and Mamikon provide fresh and powerful insights into geometry that requires only a modest background in mathematics.
Some Problems of Unlikely Intersections in Arithmetic and GeometryThis book considers the so-called Unlikely Intersections, a topic that embraces well-known issues, such as Lang's and Manin-Mumford's, concerning torsion points in subvarieties of tori or abelian varieties. More generally, the book considers algebraic subgroups that meet a given subvariety in a set of unlikely dimension. The book is an expansion of the Hermann Weyl Lectures delivered by Umberto Zannier at the Institute for Advanced Study in Princeton in May 2010.
Geometric Process And Its Applications, TheA geometric process is a simple monotone process that was first introduced by the author in 1988. It is a generalization of renewal process. This book captures the extensive research work on geometric processes that has been done since then in both probability and statistics theory and various applications. Some results are published for the first time.A reference book for researchers and a handbook for practitioners, it is also a useful textbook for postgraduate or senior undergraduate students.
The Geometry of Homological TrianglesThis book is addressed to students, professors and researchers of geometry, who will find herein many interesting and original results. The originality of the book The Geometry of Homological Triangles consists in using the homology of triangles as a “filter” through which remarkable notions and theorems from the geometry of the triangle are unitarily passed. Our research is structured in seven chapters, the first four are dedicated to the homology of the triangles while the last ones to their applications.
History of Mathematics
Mathematics in Historical ContextMathematics in Historical Context describes the world around the important mathematicians of the past, and explores the complex interaction between mathematics, mathematicians, and society. It takes the reader on a grand tour of history from the ancient Egyptians to the twentieth century to show how mathematicians and mathematics were affected by the outside world, and at the same time how the outside world was affected by mathematics and mathematicians.
A History of Mathematics : From Mesopotamia to ModernityA History of Mathematics: From Mesopotamia to Modernity covers the evolution of mathematics through time and across the major Eastern and Western civilizations. It begins in Babylon, then describes the trials and tribulations of the Greek mathematicians. The important, and often neglected, influence of both Chinese and Islamic mathematics is covered in detail, placing the description of early Western mathematics in a global context. The book concludes with modern mathematics, covering recent developments such as the advent of the computer, chaos theory, topology, mathematical physics, and the solution of Fermat's Last Theorem.
Crossroads in the History of Mathematics and Mathematics EducationIn this monograph, the chapters cover topics such as the development of Calculus through the actuarial sciences and map making, logarithms, the people and practices behind real world mathematics, and fruitful ways in which the history of mathematics informs mathematics education. The book is meant to serve as a source of enrichment for undergraduate mathematics majors and for mathematics education courses aimed at teachers.
Episodes From the Early History of MathematicsAmong other things, Aaboe shows us how the Babylonians did calculations, how Euclid proved that there are infinitely many primes, how Ptolemy constructed a trigonometric table in his Almagest, and how Archimedes trisected the angle. Some of the topics may be familiar to the reader, while others will seem surprising or be new.
From Calculus to Computers : Using the Last 200 Years of Mathematics History in the ClassroomFrom Calculus to Computers is a resource for undergraduate teachers that provide ideas and materials for immediate adoption in the classroom and proven examples to motivate innovation by the reader. Contributions to this volume are from historians of mathematics and college mathematics instructors with years of experience and expertise in these subjects.
From Kant to Hilbert Volume 2Immanuel Kant's Critique of Pure Reason is widely taken to be the starting point of the modern period of mathematics while David Hilbert was the last great mainstream mathematician to pursue important nineteenth cnetury ideas. This two-volume work provides an overview of this important era of mathematical research through a carefully chosen selection of articles.
Hands on History : A Resource for Teaching MathematicsThis volume is a compilation of articles from researchers and educators who use the history of mathematics to facilitate active learning in the classroom. The contributions range from simple devices such as the rectangular protractor that can be made in a geometry classroom, to elaborate models of descriptive geometry that can be used as a major project in a college mathematics course.
Mathematical Thought From Ancient to Modern Times, Volume IThis comprehensive history traces the development of mathematical ideas and the careers of the men responsible for them. Volume 1 looks at the discipline's origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods.
Mathematics Emerging : A Sourcebook 1540 - 1900Aimed at students and researchers in Mathematics, History of Mathematics and Science, this book examines the development of mathematics from the late 16th Century to the end of the 19th Century.
Mathematics in Western CultureThis book gives a remarkably fine account of the influences mathematics has exerted on the development of philosophy, the physical sciences, religion, and the arts in Western life.
Power of the Line : Metaphor, Number and Material Culture in European PrehistoryExtensive research in the fields of anthropology, archaeology, and cognitive science clearly suggests that the development of a material culture in prehistory was a serious contribution to the mathematization of the human mind. An underestimated interface in this process, as cognitive and philosophical studies suggest, was the capability to perceive the external world in a metaphorical way. This book uses several examples to tell this story. It does not claim the right to present a universal story, applicable for the whole human species, although it also questions that universality.
Sherlock Holmes in Babylon : And Other Tales of Mathematical HistorySherlock Holmes in Babylon is a collection of 44 articles on the history of mathematics, published in MAA journals over the past 100 years. Covering a span of almost 4000 years, from the ancient Babylonians to the eighteenth century, it chronicles the enormous changes in mathematical thinking over this time, as viewed by distinguished historians of mathematics from the past (Florian Cajori, Max Dehn, David Eugene Smith, Julian Lowell Coolidge, and Carl Boyer etc.) and the present.
The Cult of Pythagoras : Math and MythsIn this follow-up to his popular Science Secrets, Alberto A. Martínez discusses various popular myths from the history of mathematics: that Pythagoras proved the hypotenuse theorem, that Archimedes figured out how to test the purity of a gold crown while he was in a bathtub, that the Golden Ratio is in nature and ancient architecture, that the young Galois created group theory the night before the pistol duel that killed him, and more.
Mathematics Of Harmony: From Euclid To Contemporary Mathematics And Computer ScienceAssisted by Scott Olsen (Central Florida Community College, USA) This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the “Mathematics of Harmony,” a new interdisciplinary direction of modern science.
Role of Mathematics in the Rise of ScienceThe central theme of these essays is the nature and role of mathematics, its growth and spread, and its involvement with ever-wider areas of knowledge. The author attempts to determine the decisive and creative aspects of the abstractness 'of mathematics which have made it the dominant intellectual force that it is. He frequently confronts the mathematics and physics of today with the mathematics and physics of the Greeks, which, however renowned, was not yet capable of this abstractness
When Least Is Best : How Mathematicians Discovered Many Clever Ways to Make Things As Small (or As Large) As PossibleWhat is the best way to photograph a speeding bullet? Why does light move through glass in the least amount of time possible? How can lost hikers find their way out of a forest? What will rainbows look like in the future? Why do soap bubbles have a shape that gives them the least area? By combining the mathematical history of extrema with contemporary examples, Paul J. Nahin answers these intriguing questions and more in this engaging and witty volume. He shows how life often works at the extremes--with values becoming as small (or as large) as possible--and how mathematicians over the centuries have struggled to calculate these problems of minima and maxima.
Who Gave You the Epsilon? : And Other Tales of Mathematical HistorySherlock Holmes in Babylon. Like its predecessor, this book is a collection of articles on the history of mathematics from the MAA journals, in many cases written by distinguished mathematicians (such as G H Hardy and B.van der Waerden), with commentary by the editors.
Number Theory
A Guide to Elementary Number TheoryA Guide to Elementary Number Theory is a 140 pages exposition of the topics considered in a first course in number theory. It is intended for those who may have seen the material before but have half-forgotten it, and also for those who may have misspent their youth by not having a course in number theory and who want to see what it is about without having to wade through a traditional text, some of which approach 500 pages in length.
Elementary Number Theory with ApplicationsThis second edition updates the well-regarded 2001 publication with new short sections on topics like Catalan numbers and their relationship to Pascal's triangle and Mersenne numbers, Pollard rho factorization method, Hoggatt-Hensell identity. Koshy has added a new chapter on continued fractions.
Elliptic Tales : Curves, Counting, and Number TheoryIn this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The key to the conjecture lies in elliptic curves, which may appear simple, but arise from some very deep—and often very mystifying—mathematical ideas.
Fearless Symmetry : Exposing the Hidden Patterns of NumbersMathematicians solve equations, or try to. But sometimes the solutions are not as interesting as the beautiful symmetric patterns that lead to them. Written in a friendly style for a general audience, Fearless Symmetry is the first popular math book to discuss these elegant and mysterious patterns and the ingenious techniques mathematicians use to uncover them
Figurate NumbersFigurate numbers have a rich history with many applications. The main purpose of this book is to provide a thorough and complete presentation of the theory of figurate numbers, giving much of their properties, facts and theorems with full proofs. This book is the first of this topic written in unified systematic way. It also contains many exercises with solutions.
Invitation to Number TheoryThe purpose of this simple little guide will have been achieved if it should lead some of its readers to appreciate why the properties of numbers can be so fascinating. It would be better still if it would induce you to try to find some number relations of your own; new curiosities devised by young people turn up every year.
The Lore of Large NumbersUsing large numbers as a unifying theme and employing only the simplest materials, the author provides the reader with an understanding for numbers, their magnitude, and their growth. The reader is introduced to exponents, computation, number theory, and to the rapidity of growth of sequences
Computability : Turing, Gödel, Church, and BeyondIn this volume, distinguished computer scientists, mathematicians, logicians, and philosophers consider the conceptual foundations of computability in light of our modern understanding.
Computability In Context: Computation And Logic In The Real WorldThis volume addresses various aspects of the ways computability and theoretical computer science enable scientists and philosophers to deal with mathematical and real-world issues, covering problems related to logic, mathematics, physical processes, real computation and learning theory. At the same time it will focus on different ways in which computability emerges from the real world, and how this affects our way of thinking about everyday computational issues.
Deep Thinking: What Mathematics Can Teach Us About The MindDeep thinking is a different and more basic way of using the mind. It results in the discontinuous “aha!” experience, which is the essence of creativity. This book identifies the way in which the authentic intelligence of deep thinking differs from the artificial intelligence of “big data” and “analytics”.
Formalism and Beyond : On the Nature of Mathematical DiscourseThe essays collected in this volume focus on the role of formalist aspects in mathematical theorizing and practice, examining issues such as infinity, finiteness, and proof procedures, as well as central historical figures in the field, including Frege, Russell, Hilbert and Wittgenstein. Using modern logico-philosophical tools and systematic conceptual and logical analyses, the volume provides a thorough, up-to-date account of the subject.
Mathematics And The Natural Sciences: The Physical Singularity Of LifeThis book identifies the organizing concepts of physical and biological phenomena by an analysis of the foundations of mathematics and physics. Our aim is to propose a dialog between different conceptual universes and thus to provide a unification of phenomena.
Philosophy of Mathematics in the Twentieth CenturyIn these selected essays, Charles Parsons surveys the contributions of philosophers and mathematicians who shaped the philosophy of mathematics over the past century: Brouwer, Hilbert, Bernays, Weyl, Gödel, Russell, Quine, Putnam, Wang, and Tait.
Proof and Other Dilemmas : Mathematics and PhilosophyTwo new schools of philosophy of mathematics, social constructivism and structuralism, were added to the four traditional views (formalism, intuitionism, logicism, and Platonism). The advent of the computer led to proofs and the development of mathematics assisted by computer, and to questions of the role of the computer in mathematics.
The Limits of AbstractionWhat is abstraction? To what extent can it account for the existence and identity of abstract objects? And to what extent can it be used as a foundation for mathematics? Kit Fine provides rigorous and systematic answers to these questions along the lines proposed by Frege, in a book concerned both with the technical development of the subject and with its philosophical underpinnings.
The Origin of the Logic of Symbolic Mathematics : Edmund Husserl and Jacob KleinBurt C. Hopkins presents the first in-depth study of the work of Edmund Husserl and Jacob Klein on the philosophical foundations of the logic of modern symbolic mathematics. Accounts of the philosophical origins of formalized concepts—especially mathematical concepts and the process of mathematical abstraction that generates them—have been paramount to the development of phenomenology.
Dealing with Statistics : What You Need to KnowThis book is a concise and accessible guide to the essential statistical skills needed to help you to choose and use the right technique to analyse your data and write your assignement, project or dissertation.
Everyday Probability And Statistics: Health, Elections, Gambling And War (2nd Edition)This book presents the important results of probability and statistics without making heavy mathematical demands on the reader. It should enable an intelligent reader to properly assess statistical information and to understand that the same information can be presented in different ways. In this second edition the author presents a new chapter exploring science and society including the way that scientists communicate with the public on current topics, such as global warming
Introduction to Probability and Statistics for Engineers and ScientistsAuthor Sheldon Ross shows how probability yields insight into statistical problems, resulting in an intuitive understanding of the statistical procedures most often used by practicing engineers and scientists. Real data sets are incorporated in a wide variety of exercises and examples, and the enclosed CD-ROM includes software that automates the required computations.
Multiparametric StatisticsThis monograph presents mathematical theory of statistical models described by the essentially large number of unknown parameters, comparable with sample size but can also be much larger. In this meaning, the proposed theory can be called 'essentially multiparametric'.
Perspectives In Mathematical Science I: Probability And StatisticsThis book presents a collection of invited articles by distinguished probabilists and statisticians on the occasion of the Platinum Jubilee Celebrations of the Indian Statistical Institute — a notable institute with significant achievement in research areas of statistics, probability and mathematics — in 2007.With a wide coverage of topics in probability and statistics, the articles provide a current perspective of different areas of research, emphasizing the major challenging issues.
Statistics : A Very Short IntroductionThis Very Short Introduction explores and explains how statistics works today. - ;Modern statistics is very different from the dry and dusty discipline of the popular imagination. In its place is an exciting subject which uses deep theory and powerful software tools to shed light and enable understanding. And it sheds this light on all aspe.
Statistics and Data Interpretation for Social WorkWritten by a social worker for social work students, this is a nuts and bolts guide to statistics that presents complex calculations and concepts in clear, easy-to-understand language. It includes numerous examples, data sets, and issues that students will encounter in social work practice.
Statistics in the Law : A Practitioner's Guide, Cases, and MaterialsStatistics in the Law is primarily a user's manual or desk reference for the expert witness-lawyer team and, secondarily, a textbook or supplemental textbook for upper level undergraduate statistics students.
The Cambridge Dictionary of StatisticsThe majority of definitions include a reference to a book or article where the user can seek an extended account of a term if required, and many are accompanied by graphical material to aid understanding.
Using Statistics : A Gentle IntroductionWritten in an informal style, this book guides the reader gently through the field from the simplest descriptive statistics to multidimensional approaches. It's written in an accessible way, with few calculations and fewer equations, for readers from a broad set of academic disciplines ranging from archaeology to zoology.
Working With Sample Data : Exploration and InferenceThis text is intended to describe these fundamental statistical techniques to managers, data analysts, and students. Statistical analysis of sample data is enhanced by the use of computers. Spreadsheet software is well suited for the methods discussed in this text. Examples in the text apply Microsoft Excel. Readers will have access to the example workbooks and Adobe Flash videos illustrating key steps using Microsoft Excel from the Business Expert Press website.
World Statistics Pocketbook 2013 EditionEnsuring women's economic empowerment and access to and control over resources requires an integrated approach to growth and development, focused on gender-responsive employment promotion and informed by the interdependency between economic and social development. Social objectives need to be incorporated into economic policies. Economic growth strategies should give attention to the real economy and focus on creating a gender-sensitive macroeconomic environment, full employment and decent work, access to land, property and other productive resources as well as financial services, and full coverage of social protection measures. The Survey outlines a number of concrete recommendations in these critical areas, which if adopted, will facilitate women's equitable access to and control over economic and financial resources.
Trigonometry
Everything You Need to Know About Basic TrigonometryThis book on Basic Trigonometry is different from most because the goals here are (a) to start from facts we know and (b) not go everywhere and do everything, but to make sure that we have the skills to actually solve problems involving trigonometry from our field of study, which is usually not mathematics.
Heavenly Mathematics : The Forgotten Art of Spherical TrigonometrySpherical trigonometry was at the heart of astronomy and ocean-going navigation for two millennia. The discipline was a mainstay of mathematics education for centuries, and it was a standard subject in high schools until the 1950s. Today, however, it is rarely taught. Heavenly Mathematics traces the rich history of this forgotten art, revealing how the cultures of classical Greece, medieval Islam, and the modern West used spherical trigonometry to chart the heavens and the Earth.
Trigonometric DelightsTrigonometry has always been the black sheep of mathematics. It has a reputation as a dry and difficult subject, a glorified form of geometry complicated by tedious computation. In this book, Eli Maor draws on his remarkable talents as a guide to the w
Trigonometry for Engineering Technology : With Mechanical, Civil, and Architectural ApplicationsTeaches the fundamentals to students new to the subject and is also useful for in-house training programs and as a self-study refresher. The text uses mechanical, civil, and architectural applications to enhance its explanations of real-world scenarios. Its open format enables it to be used as a workbook either in class or for independent study. In addition to its thorough treatment of right-angle trigonometry, the text includes oblique triangle calculations and graphing of trigonometric functions