DMCA. Copyrighted Work that you can Claim.
Base have 55 000 books.
Search: 


📙 Mathematical Thinking and Writing: A Transition to Higher Mathematics by Maddox R. — free pdf


Constructing concise and correct proofs is one of the most challenging aspects of learning to work with advanced mathematics. Meeting this challenge is a defining moment for those considering a career in mathematics or related fields. Mathematical Thinking and Writing teaches readers to construct proofs and communicate with the precision necessary for working with abstraction . It is based on two premises : composing clear and accurate mathematical arguments is critical in abstract mathematics, and that this skill requires development and support. Abstraction is the destination , not the starting point.Maddox methodically builds toward a thorough understanding of the proof process, demonstrating and encouraging mathematical thinking along the way. Skillful use of analogy clarifies abstract ideas. Clearly presented methods of mathematical precision provide an understanding of the nature of mathematics and its defining structure.After mastering the art of the proof process, the reader may pursue two independent paths. The latter parts are purposefully designed to rest on the foundation of the first, and climb quickly into analysis or algebra. Maddox addresses fundamental principles in these two areas, so that readers can apply their mathematical thinking and writing skills to these new concepts. From this exposure, readers experience the beauty of the mathematical landscape and further develop their ability to work with abstract ideas.

About book:

  • Author: Maddox R.
  • Year: 2001
  • Language: English
  • ISBN: 0-12-464976-9

About file:

  • File size: 3 459 311
  • Format: pdf


Security code:
Download button

Similar books results


Proofs and fundamentals: A first course in abstract mathematics
Proofs and fundamentals: A first course in abstract mathematics free epub by Ethan D. Bloch (auth.)

This textbook is designed to introduce undergraduates to the writing of rigorous mathematical proofs, and to fundamental mathematical ideas such as sets, functions, relations, and cardinality. The book serves as a bridge between computational courses such...

Mathematical Logic (Graduate Texts in Mathematics)
Mathematical Logic (Graduate Texts in Mathematics) epub download by J.D. Monk

From the Introduction: "We shall base our discussion on a set-theoretical foundation like that used in developing analysis, or algebra, or topology. We may consider our task as that of giving a mathematical analysis of the basic concepts of logic and math...

Practical foundations of mathematics
Practical foundations of mathematics free download by Taylor P.

Practical Foundations of Mathematics explains the basis of mathematical reasoning both in pure mathematics itself (algebra and topology in particular) and in computer science. In addition to the formal logic, this volume examines the relationship between ...

Mathematical Thinking: Problem-Solving and Proofs
Mathematical Thinking: Problem-Solving and Proofs download pdf by John P. D'Angelo, Douglas B. West

This survey of both discrete and continuous mathematics focuses on the logical thinking skills necessary to understand and communicate fundamental ideas and proofs in mathematics, rather than on rote symbolic manipulation. Coverage begins with the fundame...

Adults Mathematical Thinking and Emotions: A Study of Numerate Practice
Adults Mathematical Thinking and Emotions: A Study of Numerate Practice free epub by Jeff Evans

For adult educators and researchers who want to get to the root cause of the difficulties adults can have learning math. With participation in A-level and higher education math courses in real decline, more adults are going to be facing difficulties in ma...

History in Mathematics Education
History in Mathematics Education download pdf by John Fauvel, J. A. Van Maanen

The importance of the subject matter of this book is reasserted again and again throughout, but never with the force and eloquence of Beltrami's statement of 1873: "Students should learn to study at an early stage the great works of the great masters ins...

The Art of the Infinite: The Pleasures of Mathematics
The Art of the Infinite: The Pleasures of Mathematics free epub by Robert Kaplan, Ellen Kaplan

Robert Kaplan's The Nothing That Is: A Natural History of Zero was an international best-seller, translated into eight languages. The Times called it "elegant, discursive, and littered with quotes and allusions from Aquinas via Gershwin to Woolf" and The ...

Visual Thinking in Mathematics
Visual Thinking in Mathematics pdf free by Marcus Giaquinto

Visual thinking - visual imagination or perception of diagrams and symbol arrays, and mental operations on them - is omnipresent in mathematics. Is this visual thinking merely a psychological aid, facilitating grasp of what is gathered by other means? Or ...

Higher Engineering Mathematics
Higher Engineering Mathematics pdf free by John Bird

John Bird's approach, based on numerous worked examples and interactive problems, is ideal for students from a wide range of academic backgrounds, and can be worked through at the student's own pace. Basic mathematical theories are explained in the simple...

Kähler-Einstein Metrics and Integral Invariants
Kähler-Einstein Metrics and Integral Invariants epub download by Akito Futaki (auth.)

These notes present very recent results on compact Kähler-Einstein manifolds of positive scalar curvature. A central role is played here by a Lie algebra character of the complex Lie algebra consisting of all holomorphic vector fields, which can be intrin...

K-Theory and Operator Algebras: Proceedings of a Conference held at the University of Georgia in Athens, Georgia, April 21–25, 1975

Kahn & Engelmann: A Novel
Kahn & Engelmann: A Novel epub download by Hans Eichner

A critical and commercial success in German, ''Kahn & Engelmann'' tells the story of a Jewish family from rural Hungary, their immigration to Vienna in the great days of the Austro-Hungarian Empire, their loves, business ventures and failings, and their e...

Kayaking Alone: Nine Hundred Miles from Idaho's Mountains to the Pacific Ocean
Kayaking Alone: Nine Hundred Miles from Idaho's Mountains to the Pacific Ocean free download by Mike Barenti

The Columbia and its tributaries are rivers of conflict. Amid pitched battles over the economy, the environment, and breaching dams on the lower Snake River, the salmon that have always quickened these rivers are disappearing. On a warm day in late May, M...

Kant's Critique of Pure Reason

Kant's Search for the Supreme Principle of Morality
Kant's Search for the Supreme Principle of Morality free download by Samuel J. Kerstein

At the core of Kant's ethics lies the claim that if there is a supreme principle of morality, then it is not a utilitarian or Aristotelian perfectionist principle, or even a principle resembling the Ten Commandments. The only viable candidate for the supr...

Kant, Foucault, and Forms of Experience (Studies in Philosophy)
Kant, Foucault, and Forms of Experience (Studies in Philosophy) download pdf by Marc Djaballah

This study presents the theoretical apparatus of Foucault’s early historical analyses as a version of Kantian criticism. In an initial textual exposition, the author attempts to distill a unified discursive practice from Kant’s theoretical writings, argui...

K-theory and noncommutative geometry
K-theory and noncommutative geometry epub download by Cortinas G., et al. (eds.)

Since its inception 50 years ago, K-theory has been a tool for understanding a wide-ranging family of mathematical structures and their invariants: topological spaces, rings, algebraic varieties and operator algebras are the dominant examples. The invaria...

Kaon Physics - CP Violation in Hadronic Matrix Elements

Kashmir
Kashmir pdf free by Sir Francis Edward Younghusband

Kashmir by Sir Francis Edward Younghusband PREFACE When Major Molyneux asked me to combine with him in the production of a book on Kashmir I could not resist the temptation to describe what he had so faithfully depicted, though my official duties naturall...