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Mathematical Vistas From A Room With Many Windows
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Book Synopsis Mathematical Vistas by : Peter Hilton
Download or read book Mathematical Vistas written by Peter Hilton and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects nine related mathematical essays which will intrigue and inform. From the reviews: "The authors put their writing where their talents are, and students get to see just how alive mathematics is...there is much to commend the book. It contains plenty of interesting mathematics, often going in unusual directions. I like the diagrams; the authors have chosen mathematics that involves especially pretty ones." --THE MATHEMATICAL ASSOCIATION OF AMERICA
Book Synopsis Mathematical vistas by : Peter John Hilton
Download or read book Mathematical vistas written by Peter John Hilton and published by . This book was released on 2002 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Vistas: From A Room With Many Windows by : Hilton
Download or read book Mathematical Vistas: From A Room With Many Windows written by Hilton and published by . This book was released on 2009-12-01 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Adventures for Students and Amateurs by : David F. Hayes
Download or read book Mathematical Adventures for Students and Amateurs written by David F. Hayes and published by American Mathematical Soc.. This book was released on 2020-08-03 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Masterpieces by : Art Knoebel
Download or read book Mathematical Masterpieces written by Art Knoebel and published by Springer Science & Business Media. This book was released on 2007-10-16 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for juniors and seniors majoring in mathematics, as well as anyone pursuing independent study, this book traces the historical development of four different mathematical concepts by presenting readers with the original sources. Each chapter showcases a masterpiece of mathematical achievement, anchored to a sequence of selected primary sources. The authors examine the interplay between the discrete and continuous, with a focus on sums of powers. They then delineate the development of algorithms by Newton, Simpson and Smale. Next they explore our modern understanding of curvature, and finally they look at the properties of prime numbers. The book includes exercises, numerous photographs, and an annotated bibliography.
Book Synopsis An Introduction to Mathematical Cryptography by : Jeffrey Hoffstein
Download or read book An Introduction to Mathematical Cryptography written by Jeffrey Hoffstein and published by Springer Science & Business Media. This book was released on 2008-12-15 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Mathematical Cryptography provides an introduction to public key cryptography and underlying mathematics that is required for the subject. Each of the eight chapters expands on a specific area of mathematical cryptography and provides an extensive list of exercises. It is a suitable text for advanced students in pure and applied mathematics and computer science, or the book may be used as a self-study. This book also provides a self-contained treatment of mathematical cryptography for the reader with limited mathematical background.
Book Synopsis Discrete Mathematics by : László Lovász
Download or read book Discrete Mathematics written by László Lovász and published by Springer Science & Business Media. This book was released on 2006-05-10 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at undergraduate mathematics and computer science students, this book is an excellent introduction to a lot of problems of discrete mathematics. It discusses a number of selected results and methods, mostly from areas of combinatorics and graph theory, and it uses proofs and problem solving to help students understand the solutions to problems. Numerous examples, figures, and exercises are spread throughout the book.
Book Synopsis A Mathematical Tapestry by : Peter Hilton
Download or read book A Mathematical Tapestry written by Peter Hilton and published by Cambridge University Press. This book was released on 2010-07-22 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This easy-to-read 2010 book demonstrates how a simple geometric idea reveals fascinating connections and results in number theory, the mathematics of polyhedra, combinatorial geometry, and group theory. Using a systematic paper-folding procedure it is possible to construct a regular polygon with any number of sides. This remarkable algorithm has led to interesting proofs of certain results in number theory, has been used to answer combinatorial questions involving partitions of space, and has enabled the authors to obtain the formula for the volume of a regular tetrahedron in around three steps, using nothing more complicated than basic arithmetic and the most elementary plane geometry. All of these ideas, and more, reveal the beauty of mathematics and the interconnectedness of its various branches. Detailed instructions, including clear illustrations, enable the reader to gain hands-on experience constructing these models and to discover for themselves the patterns and relationships they unearth.
Book Synopsis Mathematics and Its History by : John Stillwell
Download or read book Mathematics and Its History written by John Stillwell and published by Springer Science & Business Media. This book was released on 2004-01-27 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a collection of historical essays detailing a large variety of mathematical disciplines and issues; it’s accessible to a broad audience. This second edition includes new chapters on Chinese and Indian number theory, on hypercomplex numbers, and on algebraic number theory. Many more exercises have been added as well as commentary that helps place the exercises in context.
Book Synopsis Introduction to the Mathematics of Finance by : Steven Roman
Download or read book Introduction to the Mathematics of Finance written by Steven Roman and published by Springer Science & Business Media. This book was released on 2004 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: An elementary introduction to probability and mathematical finance including a chapter on the Capital Asset Pricing Model (CAPM), a topic that is very popular among practitioners and economists.Dr. Roman has authored 32 books, including a number of books on mathematics, such as Coding and Information Theory, Advanced Linear Algebra, and Field Theory, published by Springer-Verlag.
Book Synopsis Applied Linear Algebra and Matrix Analysis by : Thomas S. Shores
Download or read book Applied Linear Algebra and Matrix Analysis written by Thomas S. Shores and published by Springer Science & Business Media. This book was released on 2007-08-14 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new book offers a fresh approach to matrix and linear algebra by providing a balanced blend of applications, theory, and computation, while highlighting their interdependence. Intended for a one-semester course, Applied Linear Algebra and Matrix Analysis places special emphasis on linear algebra as an experimental science, with numerous examples, computer exercises, and projects. While the flavor is heavily computational and experimental, the text is independent of specific hardware or software platforms. Throughout the book, significant motivating examples are woven into the text, and each section ends with a set of exercises.
Book Synopsis A Course in Calculus and Real Analysis by : Sudhir R. Ghorpade
Download or read book A Course in Calculus and Real Analysis written by Sudhir R. Ghorpade and published by Springer Science & Business Media. This book was released on 2006-10-14 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained and rigorous introduction to calculus of functions of one variable, in a presentation which emphasizes the structural development of calculus. Throughout, the authors highlight the fact that calculus provides a firm foundation to concepts and results that are generally encountered in high school and accepted on faith; for example, the classical result that the ratio of circumference to diameter is the same for all circles. A number of topics are treated here in considerable detail that may be inadequately covered in calculus courses and glossed over in real analysis courses.
Download or read book Conics and Cubics written by Robert Bix and published by Springer Science & Business Media. This book was released on 2006-11-22 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conics and Cubics offers an accessible and well illustrated introduction to algebraic curves. By classifying irreducible cubics over the real numbers and proving that their points form Abelian groups, the book gives readers easy access to the study of elliptic curves. It includes a simple proof of Bezout’s Theorem on the number of intersections of two curves. The subject area is described by means of concrete and accessible examples. The book is a text for a one-semester course.
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.
Book Synopsis A Concrete Introduction to Higher Algebra by : Lindsay N. Childs
Download or read book A Concrete Introduction to Higher Algebra written by Lindsay N. Childs and published by Springer Science & Business Media. This book was released on 2012-12-04 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: An informal and readable introduction to higher algebra at the post-calculus level. The concepts of ring and field are introduced through study of the familiar examples of the integers and polynomials, with much emphasis placed on congruence classes leading the way to finite groups and finite fields. New examples and theory are integrated in a well-motivated fashion and made relevant by many applications -- to cryptography, coding, integration, history of mathematics, and especially to elementary and computational number theory. The later chapters include expositions of Rabiin's probabilistic primality test, quadratic reciprocity, and the classification of finite fields. Over 900 exercises, ranging from routine examples to extensions of theory, are scattered throughout the book, with hints and answers for many of them included in an appendix.
Book Synopsis Analysis by Its History by : Ernst Hairer
Download or read book Analysis by Its History written by Ernst Hairer and published by Springer Science & Business Media. This book was released on 2008-05-30 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents first-year calculus roughly in the order in which it was first discovered. The first two chapters show how the ancient calculations of practical problems led to infinite series, differential and integral calculus and to differential equations. The establishment of mathematical rigour for these subjects in the 19th century for one and several variables is treated in chapters III and IV. Many quotations are included to give the flavor of the history. The text is complemented by a large number of examples, calculations and mathematical pictures and will provide stimulating and enjoyable reading for students, teachers, as well as researchers.
Book Synopsis Measure, Topology, and Fractal Geometry by : Gerald Edgar
Download or read book Measure, Topology, and Fractal Geometry written by Gerald Edgar and published by Springer Science & Business Media. This book was released on 2007-10-23 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a course given to talented high-school students at Ohio University in 1988, this book is essentially an advanced undergraduate textbook about the mathematics of fractal geometry. It nicely bridges the gap between traditional books on topology/analysis and more specialized treatises on fractal geometry. The book treats such topics as metric spaces, measure theory, dimension theory, and even some algebraic topology. It takes into account developments in the subject matter since 1990. Sections are clear and focused. The book contains plenty of examples, exercises, and good illustrations of fractals, including 16 color plates.