Provides avenues for applying functional analysis to the practical study of natural sciences as well as mathematics. Contains worked problems on Hilbert space theory and on Banach spaces and emphasizes concepts, principles, methods and major applications of functional analysis.

This extensively illustrated book presents the astrophysics of galaxies since their beginnings in the early Universe. It has been thoroughly revised to take into account the most recent observational data, and recent discoveries such as dark energy. There are new sections on galaxy clusters, gamma ray bursts and supermassive black holes. The authors explore the basic properties of stars and the Milky Way before working out towards nearby galaxies and the distant Universe. They discuss the structures of galaxies and how galaxies have developed, and relate this to the evolution of the Universe. The book also examines ways of observing galaxies across the whole electromagnetic spectrum, and explores dark matter and its gravitational pull on matter and light. This book is self-contained and includes several homework problems with hints. It is ideal for advanced undergraduate students in astronomy and astrophysics.

Guru and Hiziroglu have produced an accessible and user-friendly text on electromagnetics that will appeal to both students and professors teaching this course. This lively book includes many worked examples and problems in every chapter, as well as chapter summaries and background revision material where appropriate. The book introduces undergraduate students to the basic concepts of electrostatic and magnetostatic fields, before moving on to cover Maxwell's equations, propagation, transmission and radiation. Chapters on the Finite Element and Finite Difference method, and a detailed appendix on the Smith chart are additional enhancements. MathCad code for many examples in the book and a comprehensive solutions set are available at www.cambridge.org/9780521830164.

This Smart-Kids activity book covers Time skills for grades 1 to 3 and provide extra practise where children needs it most. The workbook is divided into three levels so that children who learn faster can progress more quickly through the levels, while those who struggle can start with simpler work and build their skills gradually. It is specially written by experienced South African teachers and contains valuable notes, tips and answers for parents.

For one-term courses in Organic Chemistry. A comprehensive, problem-solving approach for the brief Organic Chemistry course. Modern and thorough revisions to the streamlined, Essential Organic Chemistry focus on developing students' problem solving and analytical reasoning skills throughout organic chemistry. Organised around reaction similarities and rich with contemporary biochemical connections, Bruice's 3rd Edition discourages memorisation and encourages students to be mindful of the fundamental reasoning behind organic reactivity: electrophiles react with nucleophiles. Developed to support a diverse student audience studying organic chemistry for the first and only time, Essentials fosters an understanding of the principles of organic structure and reaction mechanisms, encourages skill development through new Tutorial Spreads and and emphasises bioorganic processes. Contemporary and rigorous, Essentials addresses the skills needed for the 2015 MCAT and serves both pre-med and biology majors.

Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. The book then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjoint-like data and characterized by Beck's theorem. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions. This second edition includes a number of revisions and additions, including two new chapters on topics of active interest. One is on symmetric monoidal categories and braided monoidal categories and the coherence theorems for them. The second describes 2-categories and the higher dimensional categories which have recently come into prominence. The bibliography has also been expanded to cover some of the many other recent advances concerning categories.

Since the publication of the first edition over 50 years ago, Introduction to Solid State Physics has been the standard solid state physics text for physics students. The author's goal from the beginning has been to write a book that is accessible to undergraduates and consistently teachable. The emphasis in the book has always been on physics rather than formal mathematics. With each new edition, the author has attempted to add important new developments in the field without sacrificing the book's accessibility and teachability.
* A very important chapter on nanophysics has been written by an active worker in the field. This field is the liveliest addition to solid state science during the past ten years
* The text uses the simplifications made possible by the wide availability of computer technology. Searches using keywords on a search engine (such as Google) easily generate many fresh and useful references

•Levelled practice questions with full answers

•Revision for all CAPS topics

•Practice tests and exams with full memoranda

•Easy to use

This textbook provides a concise introduction to the basis of matrix theory. The text of the first edition has been re-written and revised to take account of recent developments in statistical practice. The more difficult topics have been expanded and the mathematical explanations have been simplified. A new chapter has been included, at readers' request, to cover such topics as vectorising, matrix calculus and complex numbers.

Inspiring and motivating students from the moment it published, Organic Chemistry has established itself in just one edition as the students' choice of organic chemistry text. This second edition takes all that has made Organic Chemistry the book of choice, and has refined and refocused it to produce a text that is even more student-friendly, more coherent and more logical in its presentation than before. At heart, the second edition remains true to the first, being built on three principles: An explanatory approach, through which the reader is motivated to understand the subject and not just learn the facts; A mechanistic approach, giving the reader the power to understand compounds and reactions never previously encountered; An evidence-based approach, setting out clearly how and why reactions happen as they do, giving extra depth to the reader's understanding. The authors write clearly and directly, sharing with the reader their own fascination with the subject, and leading them carefully from topic to topic. Their honest and open narrative flags pitfalls and misconceptions, guiding the reader towards a complete picture of organic chemistry and its universal themes and principles. Enriched with an extensive bank of online resources to help the reader visualise the structure of organic compounds and their reaction mechanisms, this second edition reaffirms the position of Organic Chemistry as the essential course companion for all organic chemistry students. Online Resource Centre For students: A range of problems to accompany each chapter For registered adopters of the text: Figures from the book in electronic format

Intended for those with a limited background in genetic studies, this concise, entry-level text in conservation genetics is presented in a user-friendly format, with main points clearly highlighted. Solved problems are provided throughout to help illustrate key equations, although a basic knowledge of Mendelian genetics and simple statistics is assumed. A glossary and suggestions for further reading provide additional support for the reader. Numerous pen-and-ink portraits of endangered species bring the material to life. Also available: Introduction to Conservation Genetics "...balance[s] student need for clarity and brevity with the requirements of conservation professionals for detailed applications." Choice 0-521-63014-2 Hardback $130.00 C 0-521-63985-9 Paperback $50.00 D

This definitive introduction to finite element methods has been thoroughly updated for a third edition which features important new material for both research and application of the finite element method. The discussion of saddle-point problems is a highlight of the book and has been elaborated to include many more nonstandard applications. The chapter on applications in elasticity now contains a complete discussion of locking phenomena. The numerical solution of elliptic partial differential equations is an important application of finite elements and the author discusses this subject comprehensively. These equations are treated as variational problems for which the Sobolev spaces are the right framework. Graduate students who do not necessarily have any particular background in differential equations, but require an introduction to finite element methods will find this text invaluable. Specifically, the chapter on finite elements in solid mechanics provides a bridge between mathematics and engineering.

This series is designed to meet the needs of students and lecturers of the National Certificate Vocational. Features for the student include: Easy-to-understand language; Real-life examples; A key word feature for important subject terms; A dictionary feature for difficult words; A reflect-on-how-you-learn feature to explore personal learning styles; Workplace-oriented activities; and Chapter summaries that are useful for exam revision.

Show students the relevance of mathematics in their own lives as they master important concepts and skills in Waner/Costenoble’s FINITE MATHEMATICS AND APPLIED CALCULUS, 8th Edition.

Updated, numerous examples and applications engage students with real data from well-known businesses, economic, social and current life events -- from cryptocurrency to COVID. Streamlined content assists in comprehension while valuable print and digital resources work seamlessly for your in-person, online or hybrid course format. Spreadsheet and TI graphing calculator instruction appears where needed throughout the text. Optional end-of-chapter Technology Notes and Technology Guides are available to include the precise amount of technology instruction you prefer. WebAssign course management resources and an acclaimed author website further engage students in interactive learning.

Noted for both readability and accuracy, this edition is ideal for all types of teaching and learning styles and support.

This series is designed to meet the needs of students and lecturers of the National Certificate Vocational. Features for the student include: Easy-to-understand language; Real-life examples; A key word feature for important subject terms; A dictionary feature for difficult words; A reflect-on-how-you-learn feature to explore personal learning styles; Workplace-oriented activities; and Chapter summaries that are useful for exam revision.

X-kit Achieve [subject, grade, e.g. Mathematics Grade 10] Study Guide has been revised to according incorporate the latest Assessment Guidelines (as outline in Section 4 of the CAPS), and updated with current trends to ensure the content remains relevant and applicable to learners. Written by experienced teachers, X-kit Achieve Study Guides are filled with step-by-step explanations, annotated diagrams and illustrated concepts, plenty of practice activities and answers, summary tables, and exam hints and tips.

This series is designed to meet the needs of students and lecturers of the National Certificate Vocational. Features for the student include: Easy-to-understand language; Real-life examples; A key word feature for important subject terms; A dictionary feature for difficult words; A reflect-on-how-you-learn feature to explore personal learning styles; Workplace-oriented activities; and Chapter summaries that are useful for exam revision.

The series is designed to meet the needs of students and lecturers of the National Certificate Vocational. To facilitate students' learning, the following features are used in the series: Content is written in easy-to-understand language, key terms are carefully explained, using everyday English, case studies show how to apply the theory in the work environment, the study skills sections help students make the most of their learning in class and prepare for the exams, there are many practice activities and questions with model answers at the back of the title, checklists assist students to make sure that they have covered all the skills and content in each chapter, and summaries at the end of each chapter are useful for exam revision. Lecturers using the series can teach with confidence because content is comprehensive, up-to-date, and meets all the curriculum requirements for the subject, outcomes and assessment standards are clearly identified, and assessment tasks and activities are aligned to the outcomes and assessment standards. Prescribing lecturers have access to comprehensive lecturer support material on CD including model answers to assessments in the textbook, additional assessments with model answers, rubrics for assessments, and general reference material on teaching outcomes-based education. The series is available for all programmes, all fundamental and compulsory subjects, and all elective and optional subjects.

Directly oriented towards real practical application, this book develops both the basic theoretical framework of extreme value models and the statistical inferential techniques for using these models in practice. Intended for statisticians and non-statisticians alike, the theoretical treatment is elementary, with heuristics often replacing detailed mathematical proof. Most aspects of extreme modeling techniques are covered, including historical techniques (still widely used) and contemporary techniques based on point process models. A wide range of worked examples, using genuine datasets, illustrate the various modeling procedures and a concluding chapter provides a brief introduction to a number of more advanced topics, including Bayesian inference and spatial extremes. All the computations are carried out using S-PLUS, and the corresponding datasets and functions are available via the Internet for readers to recreate examples for themselves. An essential reference for students and researchers in statistics and disciplines such as engineering, finance and environmental science, this book will also appeal to practitioners looking for practical help in solving real problems. Stuart Coles is Reader in Statistics at the University of Bristol, UK, having previously lectured at the universities of Nottingham and Lancaster. In 1992 he was the first recipient of the Royal Statistical Society's research prize. He has published widely in the statistical literature, principally in the area of extreme value modeling.

A concise yet rigorous introduction to logic and discrete mathematics. This book features a unique combination of comprehensive coverage of logic with a solid exposition of the most important fields of discrete mathematics, presenting material that has been tested and refined by the authors in university courses taught over more than a decade. The chapters on logic - propositional and first-order - provide a robust toolkit for logical reasoning, emphasizing the conceptual understanding of the language and the semantics of classical logic as well as practical applications through the easy to understand and use deductive systems of Semantic Tableaux and Resolution. The chapters on set theory, number theory, combinatorics and graph theory combine the necessary minimum of theory with numerous examples and selected applications. Written in a clear and reader-friendly style, each section ends with an extensive set of exercises, most of them provided with complete solutions which are available in the accompanying solutions manual. Key Features : Suitable for a variety of courses for students in both Mathematics and Computer Science. Extensive, in-depth coverage of classical logic, combined with a solid exposition of a selection of the most important fields of discrete mathematics Concise, clear and uncluttered presentation with numerous examples. Covers some applications including cryptographic systems, discrete probability and network algorithms. Logic and Discrete Mathematics: A Concise Introduction is aimed mainly at undergraduate courses for students in mathematics and computer science, but the book will also be a valuable resource for graduate modules and for self-study.

This is the first text in a generation to re-examine the purpose of the mathematical statistics course. The book's approach interweaves traditional topics with data analysis and reflects the use of the computer with close ties to the practice of statistics. The author stresses analysis of data, examines real problems with real data, and motivates the theory. The book's descriptive statistics, graphical displays, and realistic applications stand in strong contrast to traditional texts that are set in abstract settings.

This best-selling classical mechanics text, written for the advanced undergraduate one- or two-semester course, provides a complete account of the classical mechanics of particles, systems of particles, and rigid bodies. Vector calculus is used extensively to explore topics.The Lagrangian formulation of mechanics is introduced early to show its powerful problem solving ability.. Modern notation and terminology are used throughout in support of the text's objective: to facilitate students' transition to advanced physics and the mathematical formalism needed for the quantum theory of physics. CLASSICAL DYNAMICS OF PARTICLES AND SYSTEMS can easily be used for a one- or two-semester course, depending on the instructor's choice of topics.

The renowned Oxford Chemistry Primer series, which provides focused introductions to a range of important topics in chemistry, has been refreshed and updated to suit the needs of today's students, lecturers, and postgraduate researchers. The rigorous, yet accessible, treatment of each subject area is ideal for those wanting a primer in a given topic to prepare them for more advanced study or research. Moreover, cutting-edge examples and applications throughout the texts show the relevance of the chemistry being described to current research and industry. The learning features provided, including questions at the end of every chapter and online multiple-choice questions, encourage active learning and promote understanding. Furthermore, frequent diagrams, margin notes, further reading, and glossary definitions all help to enhance a student's understanding of these essential areas of chemistry. Foundations of Molecular Structure Determination covers a range of common spectroscopic and diffraction methods alongside frequent worked examples and problem questions to assist beginning undergraduates in developing their skills in structure analysis. Furthermore, the practical application of these techniques is emphasized, especially to biological and medical systems. Online Resource Centre The Online Resource Centre to accompany Foundations of Molecular Structure Determination features: For registered adopters of the text: * Figures from the book available to download For students: * Downloadable CIF data files * Multiple-choice questions for self-directed learning * Full worked solutions to the end-of-chapter exercises

Master organic chemistry with this thorough, to-the-point introduction to the fascinating science of organic chemistry. In every chapter of FUNDAMENTALS OF ORGANIC CHEMISTRY, 7e, you'll find applications that demonstrate how organic chemistry relates to your everyday life, a striking full color art program that helps you visualize chemical processes and reactions, and superior learning tools you can use to study for tests, master key concepts, and succeed in the course.

This undergraduate textbook merges traditional solid state physics with contemporary condensed matter physics, providing an up-to-date introduction to the major concepts that form the foundations of condensed materials. The main foundational principles are emphasized, providing students with the knowledge beginners in the field should understand. The book is structured in four parts and allows students to appreciate how the concepts in this broad area build upon each other to produce a cohesive whole as they work through the chapters. Illustrations work closely with the text to convey concepts and ideas visually, enhancing student understanding of difficult material, and end-of-chapter exercises varying in difficulty allow students to put into practice the theory they have covered in each chapter and reinforce new concepts.