Linear Algebra Concepts And Applications

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Linear Algebra: Concepts and Applications

Author : Przemyslaw Bogacki
Publisher : American Mathematical Soc.
ISBN 13 : 1470443848
Total Pages : 383 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Linear Algebra: Concepts and Applications by : Przemyslaw Bogacki

Download or read book Linear Algebra: Concepts and Applications written by Przemyslaw Bogacki and published by American Mathematical Soc.. This book was released on 2019-01-24 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Algebra: Concepts and Applications is designed to be used in a first linear algebra course taken by mathematics and science majors. It provides a complete coverage of core linear algebra topics, including vectors and matrices, systems of linear equations, general vector spaces, linear transformations, eigenvalues, and eigenvectors. All results are carefully, clearly, and rigorously proven. The exposition is very accessible. The applications of linear algebra are extensive and substantial—several of those recur throughout the text in different contexts, including many that elucidate concepts from multivariable calculus. Unusual features of the text include a pervasive emphasis on the geometric interpretation and viewpoint as well as a very complete treatment of the singular value decomposition. The book includes over 800 exercises and numerous references to the author's custom software Linear Algebra Toolkit.

Linear Algebra

Author : Richard C. Penney
Publisher : John Wiley & Sons
ISBN 13 : 1118909593
Total Pages : 510 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis Linear Algebra by : Richard C. Penney

Download or read book Linear Algebra written by Richard C. Penney and published by John Wiley & Sons. This book was released on 2015-10-27 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the Third Edition “This volume is ground-breaking in terms of mathematical texts in that it does not teach from a detached perspective, but instead, looks to show students that competent mathematicians bring an intuitive understanding to the subject rather than just a master of applications.” – Electric Review A comprehensive introduction, Linear Algebra: Ideas and Applications, Fourth Edition provides a discussion of the theory and applications of linear algebra that blends abstract and computational concepts. With a focus on the development of mathematical intuition, the book emphasizes the need to understand both the applications of a particular technique and the mathematical ideas underlying the technique. The book introduces each new concept in the context of an explicit numerical example, which allows the abstract concepts to grow organically out of the necessity to solve specific problems. The intuitive discussions are consistently followed by rigorous statements of results and proofs. Linear Algebra: Ideas and Applications, Fourth Edition also features: Two new and independent sections on the rapidly developing subject of wavelets A thoroughly updated section on electrical circuit theory Illuminating applications of linear algebra with self-study questions for additional study End-of-chapter summaries and sections with true-false questions to aid readers with further comprehension of the presented material Numerous computer exercises throughout using MATLAB® code Linear Algebra: Ideas and Applications, Fourth Edition is an excellent undergraduate-level textbook for one or two semester courses for students majoring in mathematics, science, computer science, and engineering. With an emphasis on intuition development, the book is also an ideal self-study reference.

Linear Algebra

Author : Devendra Kumar
Publisher :
ISBN 13 : 9781842657065
Total Pages : 0 pages
Book Rating : 4.6/5 (57 download)

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Book Synopsis Linear Algebra by : Devendra Kumar

Download or read book Linear Algebra written by Devendra Kumar and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers important topics of Linear equations and matrices, Vector spaces, Linear transformations, Matrix analysis, Eigenvalues and eigenvectors and Inner product spaces. This book can help the reader work on the problems of Numerical Analysis, Operations Research, Differential Equations and Engineering applications.

Handbook of Linear Algebra, Second Edition

Author : Leslie Hogben
Publisher : CRC Press
ISBN 13 : 1466507284
Total Pages : 1906 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Handbook of Linear Algebra, Second Edition by : Leslie Hogben

Download or read book Handbook of Linear Algebra, Second Edition written by Leslie Hogben and published by CRC Press. This book was released on 2013-11-26 with total page 1906 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a substantial amount of new material, the Handbook of Linear Algebra, Second Edition provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use format. It guides you from the very elementary aspects of the subject to the frontiers of current research. Along with revisions and updates throughout, the second edition of this bestseller includes 20 new chapters. New to the Second Edition Separate chapters on Schur complements, additional types of canonical forms, tensors, matrix polynomials, matrix equations, special types of matrices, generalized inverses, matrices over finite fields, invariant subspaces, representations of quivers, and spectral sets New chapters on combinatorial matrix theory topics, such as tournaments, the minimum rank problem, and spectral graph theory, as well as numerical linear algebra topics, including algorithms for structured matrix computations, stability of structured matrix computations, and nonlinear eigenvalue problems More chapters on applications of linear algebra, including epidemiology and quantum error correction New chapter on using the free and open source software system Sage for linear algebra Additional sections in the chapters on sign pattern matrices and applications to geometry Conjectures and open problems in most chapters on advanced topics Highly praised as a valuable resource for anyone who uses linear algebra, the first edition covered virtually all aspects of linear algebra and its applications. This edition continues to encompass the fundamentals of linear algebra, combinatorial and numerical linear algebra, and applications of linear algebra to various disciplines while also covering up-to-date software packages for linear algebra computations.

Linear Algebra: Concepts and Methods

Author : Martin Anthony
Publisher : Cambridge University Press
ISBN 13 : 1107493684
Total Pages : 531 pages
Book Rating : 4.1/5 (74 download)

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Book Synopsis Linear Algebra: Concepts and Methods by : Martin Anthony

Download or read book Linear Algebra: Concepts and Methods written by Martin Anthony and published by Cambridge University Press. This book was released on 2012-05-10 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: Any student of linear algebra will welcome this textbook, which provides a thorough treatment of this key topic. Blending practice and theory, the book enables the reader to learn and comprehend the standard methods, with an emphasis on understanding how they actually work. At every stage, the authors are careful to ensure that the discussion is no more complicated or abstract than it needs to be, and focuses on the fundamental topics. The book is ideal as a course text or for self-study. Instructors can draw on the many examples and exercises to supplement their own assignments. End-of-chapter sections summarise the material to help students consolidate their learning as they progress through the book.

Linear Algebra: Theory, Intuition, Code

Author : Mike X. Cohen
Publisher :
ISBN 13 : 9789083136608
Total Pages : 584 pages
Book Rating : 4.1/5 (366 download)

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Book Synopsis Linear Algebra: Theory, Intuition, Code by : Mike X. Cohen

Download or read book Linear Algebra: Theory, Intuition, Code written by Mike X. Cohen and published by . This book was released on 2021-02 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear algebra is perhaps the most important branch of mathematics for computational sciences, including machine learning, AI, data science, statistics, simulations, computer graphics, multivariate analyses, matrix decompositions, signal processing, and so on.The way linear algebra is presented in traditional textbooks is different from how professionals use linear algebra in computers to solve real-world applications in machine learning, data science, statistics, and signal processing. For example, the "determinant" of a matrix is important for linear algebra theory, but should you actually use the determinant in practical applications? The answer may surprise you!If you are interested in learning the mathematical concepts linear algebra and matrix analysis, but also want to apply those concepts to data analyses on computers (e.g., statistics or signal processing), then this book is for you. You'll see all the math concepts implemented in MATLAB and in Python.Unique aspects of this book: - Clear and comprehensible explanations of concepts and theories in linear algebra. - Several distinct explanations of the same ideas, which is a proven technique for learning. - Visualization using graphs, which strengthens the geometric intuition of linear algebra. - Implementations in MATLAB and Python. Com'on, in the real world, you never solve math problems by hand! You need to know how to implement math in software! - Beginner to intermediate topics, including vectors, matrix multiplications, least-squares projections, eigendecomposition, and singular-value decomposition. - Strong focus on modern applications-oriented aspects of linear algebra and matrix analysis. - Intuitive visual explanations of diagonalization, eigenvalues and eigenvectors, and singular value decomposition. - Codes (MATLAB and Python) are provided to help you understand and apply linear algebra concepts on computers. - A combination of hand-solved exercises and more advanced code challenges. Math is not a spectator sport!

Application-Inspired Linear Algebra

Author : Heather A. Moon
Publisher : Springer Nature
ISBN 13 : 3030861554
Total Pages : 539 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Application-Inspired Linear Algebra by : Heather A. Moon

Download or read book Application-Inspired Linear Algebra written by Heather A. Moon and published by Springer Nature. This book was released on 2022-05-20 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook invites students to discover abstract ideas in linear algebra within the context of applications. Diffusion welding and radiography, the two central applications, are introduced early on and used throughout to frame the practical uses of important linear algebra concepts. Students will learn these methods through explorations, which involve making conjectures and answering open-ended questions. By approaching the subject in this way, new avenues for learning the material emerge: For example, vector spaces are introduced early as the appropriate setting for the applied problems covered; and an alternative, determinant-free method for computing eigenvalues is also illustrated. In addition to the two main applications, the authors also describe possible pathways to other applications, which fall into three main areas: Data and image analysis (including machine learning); dynamical modeling; and optimization and optimal design. Several appendices are included as well, one of which offers an insightful walkthrough of proof techniques. Instructors will also find an outline for how to use the book in a course. Additional resources can be accessed on the authors’ website, including code, data sets, and other helpful material. Application-Inspired Linear Algebra will motivate and immerse undergraduate students taking a first course in linear algebra, and will provide instructors with an indispensable, application-first approach.

Introduction to Applied Linear Algebra

Author : Stephen Boyd
Publisher : Cambridge University Press
ISBN 13 : 1316518965
Total Pages : 477 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Introduction to Applied Linear Algebra by : Stephen Boyd

Download or read book Introduction to Applied Linear Algebra written by Stephen Boyd and published by Cambridge University Press. This book was released on 2018-06-07 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Linear Algebra with Applications

Author : George Nakos
Publisher : PWS Publishing Company
ISBN 13 :
Total Pages : 694 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Linear Algebra with Applications by : George Nakos

Download or read book Linear Algebra with Applications written by George Nakos and published by PWS Publishing Company. This book was released on 1998 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text fully integrates applications and technology into the linear algebra course, and provides coverage of provocative topics, such as chaos theory and coding theory. The authors designed this text to be rich in examples, exercises, and applications. It includes all basic linear algebra theory, most important numerical methods, and incorporates technology without sacrificing material basic to the course.

Linear Algebra Done Right

Author : Sheldon Axler
Publisher : Springer Science & Business Media
ISBN 13 : 9780387982595
Total Pages : 276 pages
Book Rating : 4.9/5 (825 download)

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Book Synopsis Linear Algebra Done Right by : Sheldon Axler

Download or read book Linear Algebra Done Right written by Sheldon Axler and published by Springer Science & Business Media. This book was released on 1997-07-18 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text for a second course in linear algebra, aimed at math majors and graduates, adopts a novel approach by banishing determinants to the end of the book and focusing on understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space has an eigenvalue. The book starts by discussing vector spaces, linear independence, span, basics, and dimension. Students are introduced to inner-product spaces in the first half of the book and shortly thereafter to the finite- dimensional spectral theorem. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition features new chapters on diagonal matrices, on linear functionals and adjoints, and on the spectral theorem; some sections, such as those on self-adjoint and normal operators, have been entirely rewritten; and hundreds of minor improvements have been made throughout the text.

Linear Algebra

Author : Ward Cheney
Publisher : Jones & Bartlett Publishers
ISBN 13 : 1449613527
Total Pages : 649 pages
Book Rating : 4.4/5 (496 download)

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Book Synopsis Linear Algebra by : Ward Cheney

Download or read book Linear Algebra written by Ward Cheney and published by Jones & Bartlett Publishers. This book was released on 2012 with total page 649 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ward Cheney and David Kincaid have developed Linear Algebra: Theory and Applications, Second Edition, a multi-faceted introductory textbook, which was motivated by their desire for a single text that meets the various requirements for differing courses within linear algebra. For theoretically-oriented students, the text guides them as they devise proofs and deal with abstractions by focusing on a comprehensive blend between theory and applications. For application-oriented science and engineering students, it contains numerous exercises that help them focus on understanding and learning not only vector spaces, matrices, and linear transformations, but uses of software tools available for use in applied linear algebra. Using a flexible design, it is an ideal textbook for instructors who wish to make their own choice regarding what material to emphasis, and to accentuate those choices with homework assignments from a large variety of exercises, both in the text and online.

Introduction to Linear and Matrix Algebra

Author : Nathaniel Johnston
Publisher : Springer Nature
ISBN 13 : 3030528111
Total Pages : 482 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Introduction to Linear and Matrix Algebra by : Nathaniel Johnston

Download or read book Introduction to Linear and Matrix Algebra written by Nathaniel Johnston and published by Springer Nature. This book was released on 2021-05-19 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook emphasizes the interplay between algebra and geometry to motivate the study of linear algebra. Matrices and linear transformations are presented as two sides of the same coin, with their connection motivating inquiry throughout the book. By focusing on this interface, the author offers a conceptual appreciation of the mathematics that is at the heart of further theory and applications. Those continuing to a second course in linear algebra will appreciate the companion volume Advanced Linear and Matrix Algebra. Starting with an introduction to vectors, matrices, and linear transformations, the book focuses on building a geometric intuition of what these tools represent. Linear systems offer a powerful application of the ideas seen so far, and lead onto the introduction of subspaces, linear independence, bases, and rank. Investigation then focuses on the algebraic properties of matrices that illuminate the geometry of the linear transformations that they represent. Determinants, eigenvalues, and eigenvectors all benefit from this geometric viewpoint. Throughout, “Extra Topic” sections augment the core content with a wide range of ideas and applications, from linear programming, to power iteration and linear recurrence relations. Exercises of all levels accompany each section, including many designed to be tackled using computer software. Introduction to Linear and Matrix Algebra is ideal for an introductory proof-based linear algebra course. The engaging color presentation and frequent marginal notes showcase the author’s visual approach. Students are assumed to have completed one or two university-level mathematics courses, though calculus is not an explicit requirement. Instructors will appreciate the ample opportunities to choose topics that align with the needs of each classroom, and the online homework sets that are available through WeBWorK.

Linear Algebra

Author : Richard C. Penney
Publisher : John Wiley & Sons
ISBN 13 : 1118909623
Total Pages : 512 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis Linear Algebra by : Richard C. Penney

Download or read book Linear Algebra written by Richard C. Penney and published by John Wiley & Sons. This book was released on 2015-10-21 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the Third Edition “This volume is ground-breaking in terms of mathematical texts in that it does not teach from a detached perspective, but instead, looks to show students that competent mathematicians bring an intuitive understanding to the subject rather than just a master of applications.” – Electric Review A comprehensive introduction, Linear Algebra: Ideas and Applications, Fourth Edition provides a discussion of the theory and applications of linear algebra that blends abstract and computational concepts. With a focus on the development of mathematical intuition, the book emphasizes the need to understand both the applications of a particular technique and the mathematical ideas underlying the technique. The book introduces each new concept in the context of an explicit numerical example, which allows the abstract concepts to grow organically out of the necessity to solve specific problems. The intuitive discussions are consistently followed by rigorous statements of results and proofs. Linear Algebra: Ideas and Applications, Fourth Edition also features: Two new and independent sections on the rapidly developing subject of wavelets A thoroughly updated section on electrical circuit theory Illuminating applications of linear algebra with self-study questions for additional study End-of-chapter summaries and sections with true-false questions to aid readers with further comprehension of the presented material Numerous computer exercises throughout using MATLAB® code Linear Algebra: Ideas and Applications, Fourth Edition is an excellent undergraduate-level textbook for one or two semester courses for students majoring in mathematics, science, computer science, and engineering. With an emphasis on intuition development, the book is also an ideal self-study reference.

Essential Linear Algebra with Applications

Author : Titu Andreescu
Publisher : Springer
ISBN 13 : 0817646361
Total Pages : 498 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Essential Linear Algebra with Applications by : Titu Andreescu

Download or read book Essential Linear Algebra with Applications written by Titu Andreescu and published by Springer. This book was released on 2014-10-14 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rooted in a pedagogically successful problem-solving approach to linear algebra, the present work fills a gap in the literature that is sharply divided between elementary texts and books that are too advanced to appeal to a wide audience. It clearly develops the theoretical foundations of vector spaces, linear equations, matrix algebra, eigenvectors, and orthogonality, while simultaneously emphasizing applications and connections to fields such as biology, economics, computer graphics, electrical engineering, cryptography, and political science. Ideal as an introduction to linear algebra, the extensive exercises and well-chosen applications also make this text suitable for advanced courses at the junior or senior undergraduate level. Furthermore, it can serve as a colorful supplementary problem book, reference, or self-study manual for professional scientists and mathematicians. Complete with bibliography and index, "Essential Linear Algebra with Applications" is a natural bridge between pure and applied mathematics and the natural and social sciences, appropriate for any student or researcher who needs a strong footing in the theory, problem-solving, and model-building that are the subject’s hallmark.

Linear Algebra and Its Applications

Author : Peter D. Lax
Publisher : John Wiley & Sons
ISBN 13 : 1118626923
Total Pages : 261 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Linear Algebra and Its Applications by : Peter D. Lax

Download or read book Linear Algebra and Its Applications written by Peter D. Lax and published by John Wiley & Sons. This book was released on 2013-05-20 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This set features Linear Algebra and Its Applications, Second Edition (978-0-471-75156-4) Linear Algebra and Its Applications, Second Edition presents linear algebra as the theory and practice of linear spaces and linear maps with a unique focus on the analytical aspects as well as the numerous applications of the subject. In addition to thorough coverage of linear equations, matrices, vector spaces, game theory, and numerical analysis, the Second Edition features student-friendly additions that enhance the book's accessibility, including expanded topical coverage in the early chapters, additional exercises, and solutions to selected problems. Beginning chapters are devoted to the abstract structure of finite dimensional vector spaces, and subsequent chapters address convexity and the duality theorem as well as describe the basics of normed linear spaces and linear maps between normed spaces. Further updates and revisions have been included to reflect the most up-to-date coverage of the topic, including: The QR algorithm for finding the eigenvalues of a self-adjoint matrix The Householder algorithm for turning self-adjoint matrices into tridiagonal form The compactness of the unit ball as a criterion of finite dimensionality of a normed linear space Additionally, eight new appendices have been added and cover topics such as: the Fast Fourier Transform; the spectral radius theorem; the Lorentz group; the compactness criterion for finite dimensionality; the characterization of commentators; proof of Liapunov's stability criterion; the construction of the Jordan Canonical form of matrices; and Carl Pearcy's elegant proof of Halmos' conjecture about the numerical range of matrices. Clear, concise, and superbly organized, Linear Algebra and Its Applications, Second Edition serves as an excellent text for advanced undergraduate- and graduate-level courses in linear algebra. Its comprehensive treatment of the subject also makes it an ideal reference or self-study for industry professionals. and Functional Analysis (978-0-471-55604-6) both by Peter D. Lax.

Linear Algebra And Its Applications

Author : Tzuong-tsieng Moh
Publisher : World Scientific
ISBN 13 : 9813235446
Total Pages : 336 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Linear Algebra And Its Applications by : Tzuong-tsieng Moh

Download or read book Linear Algebra And Its Applications written by Tzuong-tsieng Moh and published by World Scientific. This book was released on 2020-10-21 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Tzuong-Tsieng Moh, a seasoned expert in algebra, comes a new book for students to better understand linear algebra. Writing from an experienced standpoint, Moh covers the many standard aspects comprising linear algebra, such as echelon forms, matrix algebra, linear transformations, and more. Moh further includes several advanced topics and applications, as well as self-correcting codes, Heisenberg's uncertainty principle, Maxwell's equations in relativity form, Google's search engine, and the theory of finitely generated modules over a PID. This book is ideal for both newcomers and experienced readers who want to attain a deeper understanding on both the basics and advanced topics of linear algebra and its vast applications. The wide range of topics combined with the depth of each discussion make it essential to be on the shelf of every mathematical beginner and enthusiast.

Calculus: Concepts and Methods

Author : Ken Binmore
Publisher : Cambridge University Press
ISBN 13 : 1139643622
Total Pages : 574 pages
Book Rating : 4.1/5 (396 download)

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Book Synopsis Calculus: Concepts and Methods by : Ken Binmore

Download or read book Calculus: Concepts and Methods written by Ken Binmore and published by Cambridge University Press. This book was released on 2002-02-07 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: The pebbles used in ancient abacuses gave their name to the calculus, which today is a fundamental tool in business, economics, engineering and the sciences. This introductory book takes readers gently from single to multivariate calculus and simple differential and difference equations. Unusually the book offers a wide range of applications in business and economics, as well as more conventional scientific examples. Ideas from univariate calculus and linear algebra are covered as needed, often from a new perspective. They are reinforced in the two-dimensional case, which is studied in detail before generalisation to higher dimensions. Although there are no theorems or formal proofs, this is a serious book in which conceptual issues are explained carefully using numerous geometric devices and a wealth of worked examples, diagrams and exercises. Mathematica has been used to generate many beautiful and accurate, full-colour illustrations to help students visualise complex mathematical objects. This adds to the accessibility of the text, which will appeal to a wide audience among students of mathematics, economics and science.