Mathematics for Multimedia

Mathematics for Multimedia

Mathematics and Multimedia focuses on the mathematics behind multimedia applications. This timely and thoroughly modern text is a rigorous survey of selected results from algebra and analysis, requiring only undergraduate math skills.The topics are `gems’ chosen for their usefulness in understanding and creating application software for multimedia signal processing and communication.The book is aimed at a wide audience, including computer science and mathematics majors and those interested in employing mathematics in multimedia design and implementation.

Mathematics for Multimedia

Sobolev Spaces

Sobolev Spaces

Sobolev Spaces presents an introduction to the theory of Sobolev Spaces and other related spaces of function, also to the imbedding characteristics of these spaces. This theory is widely used in pure and Applied Mathematics and in the Physical Sciences.

Sobolev Spaces

Maple By Example

Maple By Example

Maple by Example, Third Edition, is a reference/text with CD for beginning and experienced students, professional engineers, and other Maple users. This new edition has been updated to be compatible with the most recent release of the Maple software. Coverage includes built-in Maple commands used in courses and practices that involve calculus, linear algebra, business mathematics, ordinary and partial differential equations, numerical methods, graphics and more. The CD-ROM provides updated Maple input and all text from the book.

Maple By Example

Lectures on Numerical Mathematics

Lectures on Numerical Mathematics

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Lectures on Numerical Mathematics

The Mathematics of Money

The Mathematics of Money

The Mathematics of Money: Math for Business and Personal Finance covers all the traditional topics of the business math course, but with a more algebraic focus than many of the texts currently on the market. The text develops a solid understanding of percent and interest early, then applies that foundation to other applications in business and personal finance. While it is appropriate for students of all levels, the book takes the approach that even if students are coming into the class with only high school math, neither they nor the instructor need to be afraid of algebra; it takes care to clearly present and reinforce the formulas given and to consistently return to them and apply the material to contexts that are relevant to the students.

The Mathematics of Money

Entire and Meromorphic Functions

Entire and Meromorphic Functions

This book is an introduction to the theory of entire and meromorphic functions intended for advanced graduate students in mathematics and for professional mathematicians. The book provides a clear treatment of the Nevanlinna theory of value distribution of meromorphic functions, and presentation of the Rubel-Taylor Fourier Series method for meromorphic functions and the Miles theorem on efficient quotient representation. It has a concise but complete treatment of the Polya theory of the Borel transform and the conjugate indicator diagram. It contains some of Buck’s results on integer-valued entire functions, and closes with the Malliavin-Rubel uniqueness theorem. The approach gets to the heart of the matter without excessive scholarly detours. It prepares the reader for further study of the vast literature on the subject, which is one of the cornerstones of complex analysis.

Entire and Meromorphic Functions

The Mathematics of Logic

The Mathematics of Logic

This undergraduate textbook covers the key material for a typical first course in logic, in particular presenting a full mathematical account of the most important result in logic, the Completeness Theorem for first-order logic. Looking at a series of interesting systems, increasing in complexity, then proving and discussing the Completeness Theorem for each, the author ensures that the number of new concepts to be absorbed at each stage is manageable, whilst providing lively mathematical applications throughout. Unfamiliar terminology is kept to a minimum, no background in formal set-theory is required, and the book contains proofs of all the required set theoretical results. The reader is taken on a journey starting with Knig’s Lemma, and progressing via order relations, Zorn’s Lemma, Boolean algebras, and propositional logic, to completeness and compactness of first-order logic. As applications of the work on first-order logic, two final chapters provide introductions to model theory and nonstandard analysis.

The Mathematics of Logic

Discrete Mathematics Using aComputer

Discrete Mathematics Using aComputer

This volume offers a new, ‘hands-on’ approach to teaching Discrete Mathematics. A simple functional language is used to allow students to experiment with mathematical notations which are traditionally difficult to pick up. This practical approach provides students with instant feedback and also allows lecturers to monitor progress easily. All the material needed to use the book will be available via ftp (the software is freely available and runs on Mac, PC and Unix platforms), including a special module which implements the concepts to be learned. No prior knowledge of Functional Programming is required: apart from List Comprehension (which is comprehensively covered in the text) everything the students need is either provided for them or can be picked up easily as they go along. An Instructors Guide will also be available on the WWW to help lecturers adapt existing courses.

Discrete Mathematics Using aComputer

The Facts On File Dictionary Of Mathematics

The Facts On File Dictionary Of Mathematics

The Facts on File Dictionary of Mathematics, Fourth Edition contains more than 2,000 cross-referenced entries that explain, clearly and concisely, the most frequently used terms in mathematics.

The Facts On File Dictionary Of Mathematics

The Mathematics of the Bose Gas and Its Condensation

The Mathematics of the Bose Gas and Its Condensation

This book contains a unique survey of the mathematically rigorous results about the quantum-mechanical many-body problem that have been obtained by the authors in the past seven years. It addresses a topic that is not only rich mathematically, using a large variety of techniques in mathematical analysis, but is also one with strong ties to current experiments on ultra-cold Bose gases and Bose-Einstein condensation. The book provides a pedagogical entry into an active area of ongoing research for both graduate students and researchers. It is an outgrowth of a course given by the authors for graduate students and post-doctoral researchers at the Oberwolfach Research Institute in 2004. The book also provides a coherent summary of the field and a reference for mathematicians and physicists active in research on quantum mechanics.

The Mathematics of the Bose Gas and Its Condensation

Italian Mathematics Between the Two World Wars

Italian Mathematics Between the Two World Wars

This book describes Italian mathematics in the period between the two World Wars. We analyze its development by focusing on both the interior and the external influences. Italian mathematics in that period was shaped by a colorful array of strong personalities who concentrated their efforts on a select number of fields and won international recognition and respect in an incredibly short time. Consequently, Italy was considered a third ‘mathematical power’ after France and Germany, and qualified Italian universities became indispensable stops on the ‘tour’, organized for the improvement of young foreign mathematicians. At that time, Italy was also dominated by a fascist regime. This political situation and the social and academic structure of Italian society are included in the analysis as influences external to mathematics itself. The authors have provided a fascinating study of a most difficult time in the history of the world and of mathematics.

Italian Mathematics Between the Two World Wars

Teaching and Learning Algebra

Teaching and Learning Algebra

Algebra is widely recognised to be a difficult aspect of the Mathematics currciculum – one that not all pupils see the point of. Yet an understanding of algebra provides the key to the great power and potential interest of Mathematics in general. Up to now, detailed advice and guidance on the teaching and learning of algebra has been difficult to find. Here, however, Doug French provides a comprehensive, authoritative and, above all, constructive guide to the subject.

Teaching and Learning Algebra

Nostratic

Nostratic

The ‘Nostratic’ hypothesis — positing a common linguistic ancestor for a wide range of language families including Indo-European, Uralic, and Afro-Asiatic — has produced one of the most enduring and often intense controversies in linguistics. Overwhelmingly, though, both supporters of the hypothesis and those who reject it have not dealt directly with one another’s arguments. This volume brings together selected representatives of both sides, as well as a number of agnostic historical linguists, with the aim of examining the evidence for this particular hypothesis in the context of distant genetic relationships generally.The volume contains discussion of variants of the Nostratic hypothesis (A. Bomhard; J. Greenberg; A. Manaster-Ramer, K. Baertsch, K. Adams, & P. Michalove), the mathematics of chance in determining the relationships posited for Nostratic (R. Oswa

Nostratic

Mathematics

Mathematics

This is a concise introductory textbook for a one semester course in the history and philosophy of mathematics. It is written for mathematics majors, philosophy students, history of science students and secondary school mathematics teachers. The only prerequisite is a solid command of pre-calculus mathematics. It is shorter than the standard textbooks in that area and thus more accessible to students who have trouble coping with vast amounts of reading. Furthermore, there are many detailed explanations of the important mathematical procedures actually used by famous mathematicians, giving more mathematically talented students a greater opportunity to learn the history and philosophy by way of problem solving. Several important philosophical topics are pursued throughout the text, giving the student an opportunity to come to a full and consistent knowledge of their development. These topics include infinity, the nature of motion, and Platonism. This book offers, in fewer pages, a deep penetration into the key mathematical and philosophical aspects of the history of mathematics.

Mathematics

Early Mathematics Learning

Early Mathematics Learning

This book will gather current research in early childhood mathematics education. A special focus will be the tension between instruction and construction of knowledge. The book includes research on the design of learning opportunities, the development of mathematical thinking, the impact of the social setting and the professionalization of nursery teachers.

Early Mathematics Learning

Teaching Number Sense

Teaching Number Sense

* What is number sense? * How does children’s number sense develop? * What are the most effective teaching methods and resources? * How can research findings inform classroom practice? The fully revised second edition of the best-selling ‘Teaching Number Sense’ is the book to help you answer these questions, and more. This new edition boasts a new chapter on ‘Numbers in Context’ as well as a wealth of material on all the latest trends and innovations in mathematics teaching to support children’s learning. It is a specialist text that uses a balance of theory and practice to help teachers deal with the problems and issues they will encounter in mathematics teaching, including examples for use specifically in the classroom. This book will prove essential reading for trainee and established mathematics teachers alike.

Teaching Number Sense

California Mathematics Course Two

California Mathematics Course Two

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California Mathematics Course Two

Lasers

Lasers

‘Lasers’ are active ingredients of our modern life, but they are inconspicuous as they often go unnoticed. This intuitive introductory guide will tell you all you want to know about laser technologies in very diverse fields from nuclear and particle physics to medicine, astronomy and ultra-precise metrology. The book is coherently focused on fundamentals, and is aimed to stimulate intuition about present and future applications, while unveiling the halo of myths around lasers. Written by reputable laser experts who think that science should be entertaining, this useful reference relies on simple analogies and illustrations rather than complex mathematics, and will be suitable for students and end-users of laser technologies, including novices.

Lasers

The Chrestomanci Series Entire

The Chrestomanci Series Entire

Welcome to the worlds of Chrestomanci, where magic is as common as mathematics and anything can happen… an exclusive ebook collection of the entire seven book series by the award-winning Diana Wynne Jones.

The Chrestomanci Series Entire

Reading and Writing the World with Mathematics

Reading and Writing the World with Mathematics

Mathematics education in the United States can reproduce social inequalities whether schools use either ‘basic-skills’ curricula to prepare mainly low-income students of color for low-skilled service jobs or ‘standards-based’ curricula to ready students for knowledge-intensive positions. And working for fundamental social change and rectifying injustice are rarely included in any mathematics curriculum. Reading and Writing the World with Mathematics argues that mathematics education should prepare students to investigate and critique injustice, and to challenge, in words and actions, oppressive structures and acts. Based on teacher-research, the book provides a theoretical framework and practical examples for how mathematics educators can connect schooling to a larger sociopolitical context and concretely teach mathematics for social justice.

Reading and Writing the World with Mathematics