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Conics Text

Conics  Text Author Keith Kendig
ISBN-10 0883853353
Release 2005-08-11
Pages 403
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This book engages the reader in a journey of discovery through a spirited discussion among three characters: Philosopher, Teacher and Student. Throughout the book, Philosopher pursues his dream of a unified theory of conics, where exceptions are banished. With a helpful teacher and example-hungry student, the trio soon finds that conics reveal much of their beauty when viewed over the complex numbers. It is profusely illustrated with pictures, worked-out examples, and a CD containing 36 applets. Conics is written in an easy, conversational style, and many historical tidbits and other points of interest are scattered throughout the text. Many students can self-study the book without outside help. This book is ideal for anyone having a little exposure to linear algebra and complex numbers.



Conics Text

Conics  Text Author Keith Kendig
ISBN-10 0883853353
Release 2005-08-11
Pages 403
Download Link Click Here

This book engages the reader in a journey of discovery through a spirited discussion among three characters: Philosopher, Teacher and Student. Throughout the book, Philosopher pursues his dream of a unified theory of conics, where exceptions are banished. With a helpful teacher and example-hungry student, the trio soon finds that conics reveal much of their beauty when viewed over the complex numbers. It is profusely illustrated with pictures, worked-out examples, and a CD containing 36 applets. Conics is written in an easy, conversational style, and many historical tidbits and other points of interest are scattered throughout the text. Many students can self-study the book without outside help. This book is ideal for anyone having a little exposure to linear algebra and complex numbers.



A Guide to Plane Algebraic Curves

A Guide to Plane Algebraic Curves Author Keith Kendig
ISBN-10 9780883853535
Release 2011
Pages 193
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This Guide is a friendly introduction to plane algebraic curves. It emphasizes geometry and intuition, and the presentation is kept concrete. You'll find an abundance of pictures and examples to help develop your intuition about the subject, which is so basic to understanding and asking fruitful questions. Highlights of the elementary theory are covered, which for some could be an end in itself, and for others an invitation to investigate further. Proofs, when given, are mostly sketched, some in more detail, but typically with less. References to texts that provide further discussion are often included. Computer algebra software has made getting around in algebraic geometry much easier. Algebraic curves and geometry are now being applied to areas such as cryptography, complexity and coding theory, robotics, biological networks, and coupled dynamical systems. Algebraic curves were used in Andrew Wiles' proof of Fermat's Last Theorem, and to understand string theory, you need to know some algebraic geometry. There are other areas on the horizon for which the concepts and tools of algebraic curves and geometry hold tantalizing promise. This introduction to algebraic curves will be appropriate for a wide segment of scientists and engineers wanting an entrance to this burgeoning subject.



Linear Algebra Problem Book

Linear Algebra Problem Book Author Paul R. Halmos
ISBN-10 0883853221
Release 1995
Pages 336
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Takes the student step by step from basic axioms to advanced concepts. 164 problems, each with hints and full solutions.



New Horizons in Geometry

New Horizons in Geometry Author Tom M. Apostol
ISBN-10 9780883853542
Release 2012
Pages 513
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New Horizons in Geometry represents the fruits of 15 years of work in geometry by a remarkable team of prize-winning authors—Tom Apostol and Mamikon Mnatsakanian. It serves as a capstone to an amazing collaboration. Apostol and Mamikon provide fresh and powerful insights into geometry that requires only a modest background in mathematics. Using new and intuitively rich methods, they give beautifully illustrated proofs of results, the majority of which are new, and frequently develop extensions of familiar theorems that are often surprising and sometimes astounding. It is mathematical exposition of the highest order. The hundreds of full color illustrations by Mamikon are visually enticing and provide great motivation to read further and savor the wonderful results. Lengths, areas, and volumes of curves, surfaces, and solids are explored from a visually captivating perspective. It is an understatement to say that Apostol and Mamikon have breathed new life into geometry.



A Guide to Groups Rings and Fields

A Guide to Groups  Rings  and Fields Author Fernando Q. Gouvêa
ISBN-10 9780883853559
Release 2012
Pages 309
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This Guide offers a concise overview of the theory of groups, rings, and fields at the graduate level, emphasizing those aspects that are useful in other parts of mathematics. It focuses on the main ideas and how they hang together. It will be useful to both students and professionals.In addition to the standard material on groups, rings, modules, fields, and Galois theory, the book includes discussions of other important topics that are often omitted in the standard graduate course, including linear groups, group representations, the structure of Artinian rings, projective, injective and flat modules, Dedekind domains, and central simple algebras. All of the important theorems are discussed, without proofs but often with a discussion of the intuitive ideas behind those proofs.Those looking for a way to review and refresh their basic algebra will benefit from reading this Guide, and it will also serve as a ready reference for mathematicians who make use of algebra in their work.



Algebraic Geometry

Algebraic Geometry Author Thomas A. Garrity
ISBN-10 9780821893968
Release 2013-02-01
Pages 335
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Algebraic Geometry has been at the center of much of mathematics for hundreds of years. It is not an easy field to break into, despite its humble beginnings in the study of circles, ellipses, hyperbolas, and parabolas. This text consists of a series of ex



A Garden of Integrals

A Garden of Integrals Author Frank Burk
ISBN-10 088385337X
Release 2007-08-30
Pages 281
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Burk proves the basic properties of various integrals, draws comparisons and analyses their uses.



Logic as Algebra

Logic as Algebra Author Paul Halmos
ISBN-10 0883853272
Release 1998-09-03
Pages 141
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An introduction to logic from the perspective of algebra.



Great Moments in Mathematics before 1650

Great Moments in Mathematics  before 1650 Author Howard Whitley Eves
ISBN-10 0883853108
Release 1983
Pages 270
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Presents a series of lectures on the history of mathematics covering such topics as the Pythagorean Theorem, Archimedes, and Fibonacci.



Proofs that Really Count

Proofs that Really Count Author Arthur T. Benjamin
ISBN-10 0883853337
Release 2003-11-13
Pages 194
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Demonstration of the use of simple counting arguments to describe number patterns; numerous hints and references.



Old and New Unsolved Problems in Plane Geometry and Number Theory

Old and New Unsolved Problems in Plane Geometry and Number Theory Author Victor Klee
ISBN-10 0883853159
Release 1991
Pages 333
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Old and New Unsolved Problems in Plane Geometry and Number Theory has been writing in one form or another for most of life. You can find so many inspiration from Old and New Unsolved Problems in Plane Geometry and Number Theory also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Old and New Unsolved Problems in Plane Geometry and Number Theory book for free.



Sink Or Float

Sink Or Float Author Keith Kendig
ISBN-10 0883853396
Release 2008
Pages 375
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A collection of over 250 multiple-choice problems to challenge and delight everyone from school students to professional mathematicians.



Exploring Classical Greek Construction Problems with Interactive Geometry Software

Exploring Classical Greek Construction Problems with Interactive Geometry Software Author Ad Meskens
ISBN-10 9783319428635
Release 2017-03-01
Pages 186
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In this book the classical Greek construction problems are explored in a didactical, enquiry based fashion using Interactive Geometry Software (IGS). The book traces the history of these problems, stating them in modern terminology. By focusing on constructions and the use of IGS the reader is confronted with the same problems that ancient mathematicians once faced. The reader can step into the footsteps of Euclid, Viète and Cusanus amongst others and then by experimenting and discovering geometric relationships far exceed their accomplishments. Exploring these problems with the neusis-method lets him discover a class of interesting curves. By experimenting he will gain a deeper understanding of how mathematics is created. More than 100 exercises guide him through methods which were developed to try and solve the problems. The exercises are at the level of undergraduate students and only require knowledge of elementary Euclidean geometry and pre-calculus algebra. It is especially well-suited for those students who are thinking of becoming a mathematics teacher and for mathematics teachers.



The Beginnings and Evolution of Algebra

The Beginnings and Evolution of Algebra Author I. G. Bashmakova
ISBN-10 0883853299
Release 2000-04-27
Pages 179
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An examination of the evolution of one of the cornerstones of modern mathematics.



A Guide to Advanced Linear Algebra

A Guide to Advanced Linear Algebra Author Steven H. Weintraub
ISBN-10 9780883853511
Release 2011-07-07
Pages 251
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Linear algebra occupies a central place in modern mathematics. This book provides a rigorous and thorough development of linear algebra at an advanced level, and is directed at graduate students and professional mathematicians. It approaches linear algebra from an algebraic point of view, but its selection of topics is governed not only for their importance in linear algebra itself, but also for their applications throughout mathematics. Students in algebra, analysis, and topology will find much of interest and use to them, and the careful treatment and breadth of subject matter will make this book a valuable reference for mathematicians throughout their professional lives.Topics treated in this book include: vector spaces and linear transformations; dimension counting and applications; representation of linear transformations by matrices; duality; determinants and their uses; rational and especially Jordan canonical form; bilinear forms; inner product spaces; normal linear transformations and the spectral theorem; and an introduction to matrix groups as Lie groups.The book treats vector spaces in full generality, though it concentrates on the finite dimensional case. Also, it treats vector spaces over arbitrary fields, specializing to algebraically closed fields or to the fields of real and complex numbers as necessary.



Algebra in Context

Algebra in Context Author Amy Shell-Gellasch
ISBN-10 9781421417295
Release 2015-10-08
Pages 552
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This book’s unique approach to the teaching of mathematics lies in its use of history to provide a framework for understanding algebra and related fields. With Algebra in Context, students will soon discover why mathematics is such a crucial part not only of civilization but also of everyday life. Even those who have avoided mathematics for years will find the historical stories both inviting and gripping. The book’s lessons begin with the creation and spread of number systems, from the mathematical development of early civilizations in Babylonia, Greece, China, Rome, Egypt, and Central America to the advancement of mathematics over time and the roles of famous figures such as Descartes and Leonardo of Pisa (Fibonacci). Before long, it becomes clear that the simple origins of algebra evolved into modern problem solving. Along the way, the language of mathematics becomes familiar, and students are gradually introduced to more challenging problems. Paced perfectly, Amy Shell-Gellasch and J. B. Thoo’s chapters ease students from topic to topic until they reach the twenty-first century. By the end of Algebra in Context, students using this textbook will be comfortable with most algebra concepts, including • Different number bases • Algebraic notation • Methods of arithmetic calculation • Real numbers • Complex numbers • Divisors • Prime factorization • Variation • Factoring • Solving linear equations • False position • Solving quadratic equations • Solving cubic equations • nth roots • Set theory • One-to-one correspondence • Infinite sets • Figurate numbers • Logarithms • Exponential growth • Interest calculations