If You Were To Collect Elements Of Abstraction

Download If You Were To Collect Elements Of Abstraction full books in PDF, epub, and Kindle. Read online If You Were To Collect Elements Of Abstraction ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Learning Abstract Algebra with ISETL

Author : Ed Dubinsky
Publisher : Springer Science & Business Media
ISBN 13 : 1461226023
Total Pages : 264 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!

Book Synopsis Learning Abstract Algebra with ISETL by : Ed Dubinsky

Download or read book Learning Abstract Algebra with ISETL written by Ed Dubinsky and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most students in abstract algebra classes have great difficulty making sense of what the instructor is saying. Moreover, this seems to remain true almost independently of the quality of the lecture. This book is based on the constructivist belief that, before students can make sense of any presentation of abstract mathematics, they need to be engaged in mental activities which will establish an experiential base for any future verbal explanation. No less, they need to have the opportunity to reflect on their activities. This approach is based on extensive theoretical and empirical studies as well as on the substantial experience of the authors in teaching astract algebra. The main source of activities in this course is computer constructions, specifically, small programs written in the mathlike programming language ISETL; the main tool for reflections is work in teams of 2-4 students, where the activities are discussed and debated. Because of the similarity of ISETL expressions to standard written mathematics, there is very little programming overhead: learning to program is inseparable from learning the mathematics. Each topic is first introduced through computer activities, which are then followed by a text section and exercises. This text section is written in an informed, discusive style, closely relating definitions and proofs to the constructions in the activities. Notions such as cosets and quotient groups become much more meaningful to the students than when they are preseted in a lecture.

How to Design Programs, second edition

Author : Matthias Felleisen
Publisher : MIT Press
ISBN 13 : 0262344122
Total Pages : 793 pages
Book Rating : 4.2/5 (623 download)

DOWNLOAD NOW!

Book Synopsis How to Design Programs, second edition by : Matthias Felleisen

Download or read book How to Design Programs, second edition written by Matthias Felleisen and published by MIT Press. This book was released on 2018-05-25 with total page 793 pages. Available in PDF, EPUB and Kindle. Book excerpt: A completely revised edition, offering new design recipes for interactive programs and support for images as plain values, testing, event-driven programming, and even distributed programming. This introduction to programming places computer science at the core of a liberal arts education. Unlike other introductory books, it focuses on the program design process, presenting program design guidelines that show the reader how to analyze a problem statement, how to formulate concise goals, how to make up examples, how to develop an outline of the solution, how to finish the program, and how to test it. Because learning to design programs is about the study of principles and the acquisition of transferable skills, the text does not use an off-the-shelf industrial language but presents a tailor-made teaching language. For the same reason, it offers DrRacket, a programming environment for novices that supports playful, feedback-oriented learning. The environment grows with readers as they master the material in the book until it supports a full-fledged language for the whole spectrum of programming tasks. This second edition has been completely revised. While the book continues to teach a systematic approach to program design, the second edition introduces different design recipes for interactive programs with graphical interfaces and batch programs. It also enriches its design recipes for functions with numerous new hints. Finally, the teaching languages and their IDE now come with support for images as plain values, testing, event-driven programming, and even distributed programming.

Java in a Nutshell

Author : David Flanagan
Publisher : "O'Reilly Media, Inc."
ISBN 13 : 1449366686
Total Pages : 1257 pages
Book Rating : 4.4/5 (493 download)

DOWNLOAD NOW!

Book Synopsis Java in a Nutshell by : David Flanagan

Download or read book Java in a Nutshell written by David Flanagan and published by "O'Reilly Media, Inc.". This book was released on 2005-03-15 with total page 1257 pages. Available in PDF, EPUB and Kindle. Book excerpt: With more than 700,000 copies sold to date, Java in a Nutshell from O'Reilly is clearly the favorite resource amongst the legion of developers and programmers using Java technology. And now, with the release of the 5.0 version of Java, O'Reilly has given the book that defined the "in a Nutshell" category another impressive tune-up. In this latest revision, readers will find Java in a Nutshell, 5th Edition, does more than just cover the extensive changes implicit in 5.0, the newest version of Java. It's undergone a complete makeover--in scope, size, and type of coverage--in order to more closely meet the needs of the modern Java programmer. To wit, Java in a Nutshell, 5th Edition now places less emphasis on coming to Java from C and C++, and adds more discussion on tools and frameworks. It also offers new code examples to illustrate the working of APIs, and, of course, extensive coverage of Java 5.0. But faithful readers take comfort: it still hasn't lost any of its core elements that made it such a classic to begin with. This handy reference gets right to the heart of the program with an accelerated introduction to the Javaprogramming language and its key APIs--ideal for developers wishing to start writing code right away. And, as was the case in previous editions, Java in a Nutshell, 5th Edition is once again chock-full of poignant tips, techniques, examples, and practical advice. For as longas Java has existed, Java in a Nutshell has helped developers maximize the capabilities of the program's newest versions. And this latest edition is no different.

Elements Of Algebraic Topology

Author : James R. Munkres
Publisher : CRC Press
ISBN 13 : 0429962460
Total Pages : 465 pages
Book Rating : 4.4/5 (299 download)

DOWNLOAD NOW!

Book Synopsis Elements Of Algebraic Topology by : James R. Munkres

Download or read book Elements Of Algebraic Topology written by James R. Munkres and published by CRC Press. This book was released on 2018-03-05 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elements of Algebraic Topology provides the most concrete approach to the subject. With coverage of homology and cohomology theory, universal coefficient theorems, Kunneth theorem, duality in manifolds, and applications to classical theorems of point-set topology, this book is perfect for comunicating complex topics and the fun nature of algebraic topology for beginners.

Objects, Abstraction, Data Structures and Design

Author : Elliot B. Koffman
Publisher : John Wiley & Sons
ISBN 13 : 0471467553
Total Pages : 832 pages
Book Rating : 4.4/5 (714 download)

DOWNLOAD NOW!

Book Synopsis Objects, Abstraction, Data Structures and Design by : Elliot B. Koffman

Download or read book Objects, Abstraction, Data Structures and Design written by Elliot B. Koffman and published by John Wiley & Sons. This book was released on 2005-10-20 with total page 832 pages. Available in PDF, EPUB and Kindle. Book excerpt: Koffman and Wolfgang introduce data structures in the context of C++ programming. They embed the design and implementation of data structures into the practice of sound software design principles that are introduced early and reinforced by 20 case studies. Data structures are introduced in the C++ STL format whenever possible. Each new data structure is introduced by describing its interface in the STL. Next, one or two simpler applications are discussed then the data structure is implemented following the interface previously introduced. Finally, additional advanced applications are covered in the case studies, and the cases use the STL. In the implementation of each data structure, the authors encourage students to perform a thorough analysis of the design approach and expected performance before actually undertaking detailed design and implementation. Students gain an understanding of why different data structures are needed, the applications they are suited for, and the advantages and disadvantages of their possible implementations. Case studies follow a five-step process (problem specification, analysis, design, implementation, and testing) that has been adapted to object-oriented programming. Students are encouraged to think critically about the five-step process and use it in their problem solutions. Several problems have extensive discussions of testing and include methods that automate the testing process. Some cases are revisited in later chapters and new solutions are provided that use different data structures. The text assumes a first course in programming and is designed for Data Structures or the second course in programming, especially those courses that include coverage of OO design and algorithms. A C++ primer is provided for students who have taken a course in another programming language or for those who need a review in C++. Finally, more advanced coverage of C++ is found in an appendix. Course Hierarchy: Course is the second course in the CS curriculum Required of CS majors Course names include Data Structures and Data Structures & Algorithms

Creating Abstract Art

Author : Dean Nimmer
Publisher : Penguin
ISBN 13 : 144033546X
Total Pages : 144 pages
Book Rating : 4.4/5 (43 download)

DOWNLOAD NOW!

Book Synopsis Creating Abstract Art by : Dean Nimmer

Download or read book Creating Abstract Art written by Dean Nimmer and published by Penguin. This book was released on 2014-09-03 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Celebrate your own nonconformist place in the world of art. Going far beyond standard notions of developing an abstract "style" or particular "look," Creating Abstract Art unleashes the numerous possibilities that abound in your creative subconscious. Familiar obstacles such as "I don't know what to paint" or "How do I know if this is good?" are easily set aside as you explore fun exercises such as connecting dots, automatic drawing, shadow hunting, working with haiku poetry paintings and much more. So turn off the noise in your head, follow your own instincts and delight in what emerges! • 40 exercises exploring original ideas and inventive techniques for making abstract art. • Projects can be done in any order and with nearly any materials--start working right away on any project that grabs your attention! • 50 contemporary artists share diverse work and viewpoints on the process of working abstractly. Write your own artistic license and start Creating Abstract Artyour way, today!

Object-Oriented Analysis and Design with Applications

Author : Grady Booch
Publisher : Pearson Education
ISBN 13 : 0132797445
Total Pages : 810 pages
Book Rating : 4.1/5 (327 download)

DOWNLOAD NOW!

Book Synopsis Object-Oriented Analysis and Design with Applications by : Grady Booch

Download or read book Object-Oriented Analysis and Design with Applications written by Grady Booch and published by Pearson Education. This book was released on 2007-04-30 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt: Object-Oriented Design with Applications has long been the essential reference to object-oriented technology, which, in turn, has evolved to join the mainstream of industrial-strength software development. In this third edition--the first revision in 13 years--readers can learn to apply object-oriented methods using new paradigms such as Java, the Unified Modeling Language (UML) 2.0, and .NET. The authors draw upon their rich and varied experience to offer improved methods for object development and numerous examples that tackle the complex problems faced by software engineers, including systems architecture, data acquisition, cryptoanalysis, control systems, and Web development. They illustrate essential concepts, explain the method, and show successful applications in a variety of fields. You'll also find pragmatic advice on a host of issues, including classification, implementation strategies, and cost-effective project management. New to this new edition are An introduction to the new UML 2.0, from the notation's most fundamental and advanced elements with an emphasis on key changes New domains and contexts A greatly enhanced focus on modeling--as eagerly requested by readers--with five chapters that each delve into one phase of the overall development lifecycle. Fresh approaches to reasoning about complex systems An examination of the conceptual foundation of the widely misunderstood fundamental elements of the object model, such as abstraction, encapsulation, modularity, and hierarchy How to allocate the resources of a team of developers and mange the risks associated with developing complex software systems An appendix on object-oriented programming languages This is the seminal text for anyone who wishes to use object-oriented technology to manage the complexity inherent in many kinds of systems. Sidebars Preface Acknowledgments About the Authors Section I: Concepts Chapter 1: Complexity Chapter 2: The Object Model Chapter 3: Classes and Objects Chapter 4: Classification Section II: Method Chapter 5: Notation Chapter 6: Process Chapter 7: Pragmatics Chapter 8: System Architecture: Satellite-Based Navigation Chapter 9: Control System: Traffic Management Chapter 10: Artificial Intelligence: Cryptanalysis Chapter 11: Data Acquisition: Weather Monitoring Station Chapter 12: Web Application: Vacation Tracking System Appendix A: Object-Oriented Programming Languages Appendix B: Further Reading Notes Glossary Classified Bibliography Index

Discovering Abstract Algebra

Author : John K. Osoinach, Jr.
Publisher : American Mathematical Soc.
ISBN 13 : 147046442X
Total Pages : 199 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!

Book Synopsis Discovering Abstract Algebra by : John K. Osoinach, Jr.

Download or read book Discovering Abstract Algebra written by John K. Osoinach, Jr. and published by American Mathematical Soc.. This book was released on 2021-10-04 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discovering Abstract Algebra takes an Inquiry-Based Learning approach to the subject, leading students to discover for themselves its main themes and techniques. Concepts are introduced conversationally through extensive examples and student investigation before being formally defined. Students will develop skills in carefully making statements and writing proofs, while they simultaneously build a sense of ownership over the ideas and results. The book has been extensively tested and reinforced at points of common student misunderstanding or confusion, and includes a wealth of exercises at a variety of levels. The contents were deliberately organized to follow the recommendations of the MAA's 2015 Curriculum Guide. The book is ideal for a one- or two-semester course in abstract algebra, and will prepare students well for graduate-level study in algebra.

Collected Works of F.H. Bradley: The principles of logic

Author : Francis Herbert Bradley
Publisher :
ISBN 13 :
Total Pages : 368 pages
Book Rating : 4.3/5 (243 download)

DOWNLOAD NOW!

Book Synopsis Collected Works of F.H. Bradley: The principles of logic by : Francis Herbert Bradley

Download or read book Collected Works of F.H. Bradley: The principles of logic written by Francis Herbert Bradley and published by . This book was released on 1922 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:

D3 for the Impatient

Author : Philipp K. Janert
Publisher : "O'Reilly Media, Inc."
ISBN 13 : 1492046736
Total Pages : 210 pages
Book Rating : 4.4/5 (92 download)

DOWNLOAD NOW!

Book Synopsis D3 for the Impatient by : Philipp K. Janert

Download or read book D3 for the Impatient written by Philipp K. Janert and published by "O'Reilly Media, Inc.". This book was released on 2019-05-02 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: If you’re in a hurry to learn D3.js, the leading JavaScript library for web-based graphics and visualization, this book is for you. Written for technically savvy readers with a background in programming or data science, the book moves quickly, emphasizing unifying concepts and patterns. Anticipating common difficulties, author Philipp K. Janert teaches you how to apply D3 to your own problems. Assuming only a general programming background, but no previous experience with contemporary web development, this book explains supporting technologies such as SVG, HTML5, CSS, and the DOM as needed, making it a convenient one-stop resource for a technical audience. Understand D3 selections, the library’s fundamental organizing principle Learn how to create data-driven documents with data binding Create animated graphs and interactive user interfaces Draw figures with curves, shapes, and colors Use the built-in facilities for heatmaps, tree graphs, and networks Simplify your work by writing your own reusable components

Bridge to Abstract Mathematics

Author : Ralph W. Oberste-Vorth
Publisher : American Mathematical Society
ISBN 13 : 1470453029
Total Pages : 254 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!

Book Synopsis Bridge to Abstract Mathematics by : Ralph W. Oberste-Vorth

Download or read book Bridge to Abstract Mathematics written by Ralph W. Oberste-Vorth and published by American Mathematical Society. This book was released on 2020-02-20 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Bridge to Abstract Mathematics will prepare the mathematical novice to explore the universe of abstract mathematics. Mathematics is a science that concerns theorems that must be proved within the constraints of a logical system of axioms and definitions rather than theories that must be tested, revised, and retested. Readers will learn how to read mathematics beyond popular computational calculus courses. Moreover, readers will learn how to construct their own proofs. The book is intended as the primary text for an introductory course in proving theorems, as well as for self-study or as a reference. Throughout the text, some pieces (usually proofs) are left as exercises. Part V gives hints to help students find good approaches to the exercises. Part I introduces the language of mathematics and the methods of proof. The mathematical content of Parts II through IV were chosen so as not to seriously overlap the standard mathematics major. In Part II, students study sets, functions, equivalence and order relations, and cardinality. Part III concerns algebra. The goal is to prove that the real numbers form the unique, up to isomorphism, ordered field with the least upper bound. In the process, we construct the real numbers starting with the natural numbers. Students will be prepared for an abstract linear algebra or modern algebra course. Part IV studies analysis. Continuity and differentiation are considered in the context of time scales (nonempty, closed subsets of the real numbers). Students will be prepared for advanced calculus and general topology courses. There is a lot of room for instructors to skip and choose topics from among those that are presented.

Exploring Abstract Algebra With Mathematica®

Author : Allen C. Hibbard
Publisher : Springer Science & Business Media
ISBN 13 : 1461215307
Total Pages : 476 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!

Book Synopsis Exploring Abstract Algebra With Mathematica® by : Allen C. Hibbard

Download or read book Exploring Abstract Algebra With Mathematica® written by Allen C. Hibbard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This upper-division laboratory supplement for courses in abstract algebra consists of several Mathematica packages programmed as a foundation for group and ring theory. Additionally, the "user's guide" illustrates the functionality of the underlying code, while the lab portion of the book reflects the contents of the Mathematica-based electronic notebooks. Students interact with both the printed and electronic versions of the material in the laboratory, and can look up details and reference information in the user's guide. Exercises occur in the stream of the text of the lab, which provides a context within which to answer, and the questions are designed to be either written into the electronic notebook, or on paper. The notebooks are available in both 2.2 and 3.0 versions of Mathematica, and run across all platforms for which Mathematica exits. A very timely and unique addition to the undergraduate abstract algebra curriculum, filling a tremendous void in the literature.

Finite Automata, Their Algebras and Grammars

Author : J. Richard Büchi
Publisher : Springer Science & Business Media
ISBN 13 : 1461388538
Total Pages : 335 pages
Book Rating : 4.4/5 (613 download)

DOWNLOAD NOW!

Book Synopsis Finite Automata, Their Algebras and Grammars by : J. Richard Büchi

Download or read book Finite Automata, Their Algebras and Grammars written by J. Richard Büchi and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author, who died in 1984, is well-known both as a person and through his research in mathematical logic and theoretical computer science. In the first part of the book he presents the new classical theory of finite automata as unary algebras which he himself invented about 30 years ago. Many results, like his work on structure lattices or his characterization of regular sets by generalized regular rules, are unknown to a wider audience. In the second part of the book he extends the theory to general (non-unary, many-sorted) algebras, term rewriting systems, tree automata, and pushdown automata. Essentially Büchi worked independent of other rersearch, following a novel and stimulating approach. He aimed for a mathematical theory of terms, but could not finish the book. Many of the results are known by now, but to work further along this line presents a challenging research program on the borderline between universal algebra, term rewriting systems, and automata theory. For the whole book and again within each chapter the author starts at an elementary level, giving careful explanations and numerous examples and exercises, and then leads up to the research level. In this way he covers the basic theory as well as many nonstandard subjects. Thus the book serves as a textbook for both the beginner and the advances student, and also as a rich source for the expert.

Effective C, 2nd Edition

Author : Robert C. Seacord
Publisher : NO STARCH PRESS, INC
ISBN 13 : 1718504128
Total Pages : 313 pages
Book Rating : 4.7/5 (185 download)

DOWNLOAD NOW!

Book Synopsis Effective C, 2nd Edition by : Robert C. Seacord

Download or read book Effective C, 2nd Edition written by Robert C. Seacord and published by NO STARCH PRESS, INC. This book was released on 2024-10-29 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Effective C, 2nd edition, is an introduction to essential C language programming that will soon have you writing programs, solving problems, and building working systems. The latest release of the C programming language, C23, enhances the safety, security, and usability of the language. This second edition of Effective C has been thoroughly updated to cover C23, offering a modern introduction to C that will teach you best practices for writing professional, effective, and secure programs that solve real-world problems. Effective C is a true product of the C community. Robert C. Seacord, a long-standing member of the C standards committee with over 40 years of programming experience, developed the book in collaboration with other C experts, such as Clang’s lead maintainer Aaron Ballman and C project editor JeanHeyd Meneide. Thanks to the efforts of this expert group, you’ll learn how to: Develop professional C code that is fast, robust, and secure Use objects, functions, and types effectivel Safely and correctly use integers and floating-point types Manage dynamic memory allocation Use strings and character types efficiently Perform I/O operations using C standard streams and POSIX file descriptors Make effective use of C’s preprocessor Debug, test, and analyze C programs The world runs on code written in C. Effective C will show you how to get the most out of the language and build robust programs that stand the test of time. New to this edition: This edition has been extensively rewritten to align with modern C23 programming practices and leverage the latest C23 features. Updated to cover C23

An Elementary Transition to Abstract Mathematics

Author : Gove Effinger
Publisher : CRC Press
ISBN 13 : 1000701816
Total Pages : 293 pages
Book Rating : 4.0/5 (7 download)

DOWNLOAD NOW!

Book Synopsis An Elementary Transition to Abstract Mathematics by : Gove Effinger

Download or read book An Elementary Transition to Abstract Mathematics written by Gove Effinger and published by CRC Press. This book was released on 2019-11-05 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Elementary Transition to Abstract Mathematics will help students move from introductory courses to those where rigor and proof play a much greater role. The text is organized into five basic parts: the first looks back on selected topics from pre-calculus and calculus, treating them more rigorously, and it covers various proof techniques; the second part covers induction, sets, functions, cardinality, complex numbers, permutations, and matrices; the third part introduces basic number theory including applications to cryptography; the fourth part introduces key objects from abstract algebra; and the final part focuses on polynomials. Features: The material is presented in many short chapters, so that one concept at a time can be absorbed by the student. Two "looking back" chapters at the outset (pre-calculus and calculus) are designed to start the student’s transition by working with familiar concepts. Many examples of every concept are given to make the material as concrete as possible and to emphasize the importance of searching for patterns. A conversational writing style is employed throughout in an effort to encourage active learning on the part of the student.

Practical Smalltalk

Author : Dan Shafer
Publisher : Springer Science & Business Media
ISBN 13 : 1461390672
Total Pages : 246 pages
Book Rating : 4.4/5 (613 download)

DOWNLOAD NOW!

Book Synopsis Practical Smalltalk by : Dan Shafer

Download or read book Practical Smalltalk written by Dan Shafer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Object-Oriented Programming (OOP) is recognized as one of the most powerful programming techniques to come along in many years. Its power lies in the ability it gives the designer to manage the complex, rapidly changing applications that have become the watchword of modern software. Smalltalk is the most extensively used OOP environment. Now Practical Smalltalk helps you to focus on those aspects of the language that you need to know to be a successful programmer. You'll learn all about the important classes to master, the essential theories to grasp, and then put these ideas to work in constructing everything from a simple counter object all the way through a data graphing application and the core of a functional outliner. The book culmi- nates with the creation of a factory process simulation that takes advantage of Smalltalk's ability to create multi-window, multiprocessing applications. Designed for programmers and managers who must understand the operation and uses of the Smalltalk environment, this book assumes only an elementary working knowledge of OOP and the language. The book uses Smalltalk/V 286, Digitalk's widely used implementation of Smalltalk, but most of the concepts and techniques it teaches can be transferred easily to other versions of the language.

A Concrete Approach to Abstract Algebra

Author : Jeffrey Bergen
Publisher : Academic Press
ISBN 13 : 0080958621
Total Pages : 721 pages
Book Rating : 4.0/5 (89 download)

DOWNLOAD NOW!

Book Synopsis A Concrete Approach to Abstract Algebra by : Jeffrey Bergen

Download or read book A Concrete Approach to Abstract Algebra written by Jeffrey Bergen and published by Academic Press. This book was released on 2009-12-28 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Concrete Approach to Abstract Algebra presents a solid and highly accessible introduction to abstract algebra by providing details on the building blocks of abstract algebra.It begins with a concrete and thorough examination of familiar objects such as integers, rational numbers, real numbers, complex numbers, complex conjugation, and polynomials. The author then builds upon these familiar objects and uses them to introduce and motivate advanced concepts in algebra in a manner that is easier to understand for most students. Exercises provide a balanced blend of difficulty levels, while the quantity allows the instructor a latitude of choices. The final four chapters present the more theoretical material needed for graduate study.This text will be of particular interest to teachers and future teachers as it links abstract algebra to many topics which arise in courses in algebra, geometry, trigonometry, precalculus, and calculus. Presents a more natural 'rings first' approach to effectively leading the student into the the abstract material of the course by the use of motivating concepts from previous math courses to guide the discussion of abstract algebra Bridges the gap for students by showing how most of the concepts within an abstract algebra course are actually tools used to solve difficult, but well-known problems Builds on relatively familiar material (Integers, polynomials) and moves onto more abstract topics, while providing a historical approach of introducing groups first as automorphisms Exercises provide a balanced blend of difficulty levels, while the quantity allows the instructor a latitude of choices