Physics and engineering students need a clear understanding of mathematics in order to solve a vast array of problems posed to them in coursework. Unfortunately, in many textbooks, mathematical proofs and techniques obscure a fundamental understanding of the physical principles. In a clear and didactic manner, this book explains to the student why particular advanced mathematical techniques are useful for solving certain problems. The aim is to convey a deeper appreciation of mathematical methods that are applicable to physics and engineering through a discussion of a wide range of real physical problems. The topics covered include simultaneous equations, three- dimensional geometry and vectors, complex numbers, differential equations, partial derivatives, Taylor series, and Lagrange... Less

Few philosophers of the twentieth century have influenced the sciences as much as Frank Plumpton Ramsey (1903- 1930). He did pioneering work in pure mathematics, logic, economics, statistics, probability theory, decision theory and cognitive psychology. His philosophical works included "Universals" (1925), "Facts and propositions" (1927), "Universals of law and of fact" (1928), "Knowledge" (1929), "Theories" (1929), and "General propositions and causality" (1929). Some philosophers consider him to have been, or at least to have had the potential to be, an even greater philosopher than Wittgenstein. But Ramsey died young - at the age of 26 - after an abdominal operation.

Free Worldwide Delivery : Thinking and Learning About Mathematics in the Early Years : Paperback : Taylor & Francis Ltd : 9780415432368 : 0415432367 : 26 Mar 2008 : Provides an exploration of children's mathematical development to show how you can encourage and enhance the numeracy skills of any child in the early years by linking maths to every-day life and making it a playful cross-curricular activity.

This is an excellent tool kit for solving the mathematical problems encountered by undergraduates in physics and engineering. This second book in a two volume work introduces integral and differential calculus, waves, matrices, and eigenvectors. All mathematics needed for an introductory course in the physical sciences is included. The emphasis is on learning through understanding real examples, showing mathematics as a tool for understanding physical systems and their behavior, so that the student feels at home with real mathematical problems. Dr. Lyons brings a wealth of teaching experience to this refreshing textbook on the fundamentals of mathematics for physics and engineering.

Between the seventeenth and nineteenth centuries Japan was totally isolated from the West by imperial decree. During that time, a unique brand of homegrown mathematics flourished, one that was completely uninfluenced by developments in Western mathematics. People from all walks of life--samurai, farmers, and merchants-- inscribed a wide variety of geometry problems on wooden tablets called sangaku and hung them in Buddhist temples and Shinto shrines throughout Japan. Sacred Mathematics is the first book published in the West to fully examine this tantalizing--and incredibly beautiful-- mathematical tradition. Fukagawa Hidetoshi and Tony Rothman present for the first time in English excerpts from the travel diary of a nineteenth- century Japanese mathematician, Yamaguchi Kanzan, who... Less

NATURE OF MATHEMATICS, SMITH, 0495012726, 9780495012726, New, Brand New

Each volume of Nicolas Bourbakis well-known work, The Elements of Mathematics, contains a section or chapter devoted to the history of the subject. This book collects together those historical segments with an emphasis on the emergence, development, and interaction of the leading ideas of the mathematical theories presented in the Elements. In particular, the book provides a highly readable account of the evolution of algebra, geometry, infinitesimal calculus, and of the concepts of number and structure, from the Babylonian era through to the 20th century.

Free Worldwide Delivery : Mathematics for the International Students : Mixed media product : Haese & Harris Publications : 9781876543112 : 1876543116 : 15 Aug 2008

Now you can help even your most uncertain students overcome math anxiety and confidently master key mathematical concepts and their business applications with Brechner's CONTEMPORARY MATHEMATICS FOR BUSINESS AND CONSUMERS, 6E. This unique modular approach invites students into a successful, interactive learning experience with numerous real business examples and integrated teaching technology. The author continues to incorporate a proven step-by-step instructional model throughout that allows you and your students to progress together one topic at a time without being intimidated or overwhelmed. This new edition offers a fresh, reader-friendly design with a wealth of revised and new engaging learning features that connect the latest business news to chapter topics and provide helpful... Less

A non-theoretical book packed with applications in technology! This invaluable book is renowned for its many, fully-worked examples and numerous applications. Throughout, effective illustrations make the material clear and easy to understand.

This book contains a selection of more than 500 mathematical problems and their solutions from the PhD qualifying examination papers of more than ten famous American universities. The mathematical problems cover six aspects of graduate school mathematics: Algebra, Topology, Differential Geometry, Real Analysis, Complex Analysis and Partial Differential Equations. While the depth of knowledge involved is not beyond the contents of the textbooks for graduate students, discovering the solution of the problems requires a deep understanding of the mathematical principles plus skilled techniques. For students, this book is a valuable complement to textbooks. Whereas for lecturers teaching graduate school mathematics, it is a helpful reference.

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. This direction has its origins in "The Elements" of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the "golden" algebraic equations, the generalized Binet formulas, Fibonacci and "golden" matrices), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational radices,... Less

Practical Foundations of Mathematics explains the basis of mathematical reasoning both in pure mathematics itself (algebra and topology in particular) and in computer science. In addition to the formal logic, this volume examines the relationship between computer languages and "plain English" mathematical proofs. The book introduces the reader to discrete mathematics, reasoning, and categorical logic. It offers a new approach to term algebras, induction and recursion and proves in detail the equivalence of types and categories. Each idea is illustrated by wide-ranging examples, and followed critically along its natural path, transcending disciplinary boundaries across universal algebra, type theory, category theory, set theory, sheaf theory, topology and programming. Students and teachers... Less

Mathematics for the Technical Trades is a complete math book geared toward those in technical trades such as electronics, construction, automotive, machining, welding, drafting, plumbing, and printing. This easy-to-understand text begins with fractions and decimal numbers and proceeds to build a solid foundation in exponents, the metric system, algebra, geometry and trigonometry. For those in the technical trades who want to learn, review, or reinforce the math skills that are essential to their trades.

This book is part of the Cambridge Advanced Level Mathematics series, written specifically for the OCR modular mathematics syllabus. Each book or half-book corresponds exactly to one module. Pure Mathematics 1 & 2 contains the material for modules P1 and P2 in separate halves of the book. It has chapters on algebra, functions, graphs, trigonometry and exponentials, and it introduces calculus. Each chapter starts with a short list of learning objectives, and mathematical ideas are explained carefully and clearly, with many worked examples. There are plenty of exercises throughout, along with revision exercises and mock exam papers - all written by experienced examiners.

The Mathematics of Options Trading shows options traders how to improve their overall trading performance by first understanding and harnessing options mathematics. This detailed manual introduces the math needed to understand options and how they work and provides step-by-step instructions on how to use that math to analyze intended trades before committing capital. Traders learn how to use moving averages, curve fitting, extreme values, skewness, and other techniques to augment trading profits. The valuable accompanying CD-ROM contains programs for analyzing opportunities using several strategies, creating spreadsheets, and more.

Mathematics and Teaching uses case studies to explore complex and pervasive issues that arise in teaching. In this volume, school mathematics is the context in which to consider race, equity, political contexts and the broader social and cultural circumstances in which schooling occurs. This book does not provide immediate or definitive resolutions. Rather, its goal is to provoke and facilitate thoughtful discussion about critical issues for professional decision-making in mathematics teaching. This is the 7th volume in Reflective Teaching and the Social Conditions of Schooling: A Series for Prospective and Practicing Teachers, edited by Daniel P. Liston and Kenneth M. Zeichner. It follows the same format as previous volumes in the series. Part I includes four case studies of... Less

With the CourseSmart eTextbook version of this title, students can save up to 50% off the cost of a print book, reduce their impact on the environment, and access powerful web tools for learning. Faculty can also review and compare the full text online without having to wait for a print desk copy. CourseSmart is an online eTextbook, which means users need to be connected to the internet in order to access. Students can also print sections of the book for maximum portability. Business Mathematics in Canada's primary objective is help students learn the mathematics needed for success in fields such as accounting, finance, management and marketing. Jerome recognizes that students learn business math by doing business math. The wealth and variety of exercises and problem material meets this... Less

A new title in the Architectural Design series that explores the potential of computational mathematics in cutting-edge designMathematics has always been a vital tool in the architect's trade, but the last fifteen years have seen a sharp rise in the power of computers and has led to computational abilities far beyond anything previously available. Modern design software and computing power have changed the traditional role of geometry in architecture and opened up new possibilities enabled by topology, non-Euclidean geometry, and other areas of mathematics.With insight from a top-notch list of contributors, including such notables as Philippe Morel and Fabien Scheurer, Mathematics in Space discusses how the advent of computation and information technology has affected the work of... Less

This remarkable book is a celebration of the state of mathematics at the end of the millennium. Produced under the auspices of the International Mathematical Union (IMU), the volume was born as part of the activities observing the World Mathematical Year 2000. The volume consists of 30 articles written by some of the most influential mathematicians of our time. Authors of 15 contributions were recognized in various years by the IMU as recipients of the Fields Medal, from K. F. Roth (Fields Medalist, 1958) to W. T. Gowers (Fields Medalist, 1998). The articles offer valuable reflections about the amazing mathematical progress we have witnessed in this century and insightful speculations about the possible development of mathematics over the next century. Some articles formulate important... Less

There is a concise but thorough treatment of the basic compound interest functions, nominal rate of interest, and the yield (or internal rate of return) and there are many examples on discounted cash flow. Also discussed are applications of the theory to capital redemption policies (with allowance for income tax, capital gains tax and index-linking), and consumer credit calculations. The final chapter provides a simple introduction to stochastic interest rate models.

``It is difficult to define the genre of the book. It is not a problem book, nor a textbook, nor a `book for reading about mathematics'. It is most of all reminiscent of a good lecture course, from which a thoughtful student comes away with more than was actually spoken about in the lectures.'' --from the Preface by A. S. Merkurjev If you are acquainted with mathematics at least to the extent of a standard high school curriculum and like it enough to want to learn more, and if, in addition, you are prepared to do some serious work, then you should start studying this book. An understanding of the material of the book requires neither a developed ability to reason abstractly nor skill in using the refined techniques of mathematical analysis. In each chapter elementary problems are... Less

Guided by the views of the Principals and Standards for School Mathematics, NCTM has created a new three-book series designed to help teachers support high-quality mathematics learning for diverse student populations in the classroom. The articles in the Grades 9-12 book demonstrates how connecting real-life activities with mathematical concepts, and building on students' knowledge and experiences, can help them excel in the classroom. Strategies that can immediately be implemented to help students form better connections with the content they are studying are also described.