Calculus, Volume 2
Calculus, Volume 2

Author: Tom M. Apostol

Publisher: Wiley Global Education

Published: 2019-04-26

Total Pages: 700

ISBN-13: 1119528909

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Calculus, Volume 2, 2nd Edition An introduction to the calculus, with an excellent balance between theory and technique. Integration is treated before differentiation — this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative. Proofs of all the important theorems are given, generally preceded by geometric or intuitive discussion. This Second Edition introduces the mean-value theorems and their applications earlier in the text, incorporates a treatment of linear algebra, and contains many new and easier exercises. As in the first edition, an interesting historical introduction precedes each important new concept.

Integral, Measure and Derivative
Integral, Measure and Derivative

Author: G. E. Shilov

Publisher: Courier Corporation

Published: 2013-05-13

Total Pages: 258

ISBN-13: 0486165612

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This treatment examines the general theory of the integral, Lebesque integral in n-space, the Riemann-Stieltjes integral, and more. "The exposition is fresh and sophisticated, and will engage the interest of accomplished mathematicians." — Sci-Tech Book News. 1966 edition.

The Artful Mind
The Artful Mind

Author: Mark Turner

Publisher: Oxford University Press

Published: 2006-10-26

Total Pages: 331

ISBN-13: 0195345630

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All normal human beings alive in the last fifty thousand years appear to have possessed, in Mark Turner's phrase, "irrepressibly artful minds." Cognitively modern minds produced a staggering list of behavioral singularities--science, religion, mathematics, language, advanced tool use, decorative dress, dance, culture, art--that seems to indicate a mysterious and unexplained discontinuity between us and all other living things. This brute fact gives rise to some tantalizing questions: How did the artful mind emerge? What are the basic mental operations that make art possible for us now, and how do they operate? These are the questions that occupy the distinguished contributors to this volume, which emerged from a year-long Getty-funded research project hosted by the Center for Advanced Study in the Behavioral Sciences at Stanford. These scholars bring to bear a range of disciplinary and cross-disciplinary perspectives on the relationship between art (broadly conceived), the mind, and the brain. Together they hope to provide directions for a new field of research that can play a significant role in answering the great riddle of human singularity.

Differential Equations
Differential Equations

Author: Paul Blanchard

Publisher: Cengage Learning

Published: 2012-07-25

Total Pages: 0

ISBN-13: 9780495561989

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Incorporating an innovative modeling approach, this book for a one-semester differential equations course emphasizes conceptual understanding to help users relate information taught in the classroom to real-world experiences. Certain models reappear throughout the book as running themes to synthesize different concepts from multiple angles, and a dynamical systems focus emphasizes predicting the long-term behavior of these recurring models. Users will discover how to identify and harness the mathematics they will use in their careers, and apply it effectively outside the classroom. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Analysis and Topology
Analysis and Topology

Author: Simion Stoilow

Publisher: World Scientific

Published: 1998

Total Pages: 744

ISBN-13: 9789810227616

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The goal of this book is to investigate further the interdisciplinary interaction between Mathematical Analysis and Topology. It provides an attempt to study various approaches in the topological applications and influence to Function Theory, Calculus of Variations, Functional Analysis and Approximation Theory. The volume is dedicated to the memory of S Stoilow.

Object-Oriented Analysis and Design
Object-Oriented Analysis and Design

Author: Sarnath Ramnath

Publisher: Springer Science & Business Media

Published: 2010-12-06

Total Pages: 485

ISBN-13: 1849965226

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Object-oriented analysis and design (OOAD) has over the years, become a vast field, encompassing such diverse topics as design process and principles, documentation tools, refactoring, and design and architectural patterns. For most students the learning experience is incomplete without implementation. This new textbook provides a comprehensive introduction to OOAD. The salient points of its coverage are: • A sound footing on object-oriented concepts such as classes, objects, interfaces, inheritance, polymorphism, dynamic linking, etc. • A good introduction to the stage of requirements analysis. • Use of UML to document user requirements and design. • An extensive treatment of the design process. • Coverage of implementation issues. • Appropriate use of design and architectural patterns. • Introduction to the art and craft of refactoring. • Pointers to resources that further the reader’s knowledge. All the main case-studies used for this book have been implemented by the authors using Java. The text is liberally peppered with snippets of code, which are short and fairly self-explanatory and easy to read. Familiarity with a Java-like syntax and a broad understanding of the structure of Java would be helpful in using the book to its full potential.