Calculus in Context is a compelling exploration—for students and instructors alike—of a discipline that is both rich in conceptual beauty and broad in its applied relevance.

Author: Alexander J. Hahn

Publisher: JHU Press

ISBN: 9781421422312

Category: Mathematics

Page: 712

View: 751

Calculus in Context is a compelling exploration—for students and instructors alike—of a discipline that is both rich in conceptual beauty and broad in its applied relevance.

Callahan fully embraces the calculus reform movement in technology and pedagogy, while taking it a step further with a unique organization and applications to real-world problems.

Author: James Callahan

Publisher: W H Freeman & Company

ISBN: 0716726300

Category: Mathematics

Page: 818

View: 222

For courses currently engaged, or leaning toward calculus reform. Callahan fully embraces the calculus reform movement in technology and pedagogy, while taking it a step further with a unique organization and applications to real-world problems.

Covering the standard agenda for a two-term course, the book is designed for classes where computers are used to teach and demonstrate calculus concepts.

Author: James Callahan

Publisher: W.H. Freeman

ISBN: 071672538X

Category: Calculus

Page: 794

View: 436

Covering the standard agenda for a two-term course, the book is designed for classes where computers are used to teach and demonstrate calculus concepts. Students go to work on real-life problems where calculus is applied, and learn through problems-to-principles methodology.

This instructor's manual accompanies the text, Calculus in Context, which covers the standard agenda for a two-term course on calculus, but moves the course from purely theoretical realms to real-world problems where calculus is applied.

Author: H.A. Calahan

Publisher: W.H. Freeman

ISBN: 0716726831

Category:

Page:

View: 228

This instructor's manual accompanies the text, Calculus in Context, which covers the standard agenda for a two-term course on calculus, but moves the course from purely theoretical realms to real-world problems where calculus is applied.

Abstract: "This paper develops a typed calculus for contexts i.e., lambda terms with 'holes'.

Author: Masatomo Hashimoto

Publisher:

ISBN: OCLC:36296557

Category: Lambda calculus

Page: 17

View: 709

Abstract: "This paper develops a typed calculus for contexts i.e., lambda terms with 'holes'. In addition to ordinary lambda terms, the calculus contains labeled holes, hole abstraction and context application for manipulating first-class contexts. The primary operation for contexts is hole filling which captures free variables. This operation conflicts with the capture-avoiding substitution of the lambda calculus, and a straightforward mixture of the two results in an inconsistent system. We solve this problem by defining a type system that precisely specifies variable-capturing properties of contexts as well as their types, and systematically performing bound variable renaming. This enables us to define a reduction system that properly integrates full [beta]-reduction and fill-reduction. For this calculus, we prove the subject reduction property and Church-Rosser property. This context calculus will serve a basis for developing programming languages with advanced features that call for manipulation of open terms such as flexible first-class modules."

CALCULUS: CONCEPTS AND CONTEXTS is highly regarded because this text offers a balance of theory and conceptual work to satisfy more progressive programs as well as those who are more comfortable teaching in a more traditional fashion.

Author: James Stewart

Publisher: Cengage Learning

ISBN: 0495557420

Category: Mathematics

Page: 1152

View: 556

Stewart's CALCULUS: CONCEPTS AND CONTEXTS, FOURTH EDITION offers a streamlined approach to teaching calculus, focusing on major concepts and supporting those with precise definitions, patient explanations, and carefully graded problems. CALCULUS: CONCEPTS AND CONTEXTS is highly regarded because this text offers a balance of theory and conceptual work to satisfy more progressive programs as well as those who are more comfortable teaching in a more traditional fashion. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

The book incorporates modern computational tools to give visualization real power. Using 2D and 3D graphics, the book offers new insights into fundamental elements of the calculus of differentiable maps.

Author: James J. Callahan

Publisher: Springer Science & Business Media

ISBN: 144197332X

Category: Mathematics

Page: 526

View: 396

With a fresh geometric approach that incorporates more than 250 illustrations, this textbook sets itself apart from all others in advanced calculus. Besides the classical capstones--the change of variables formula, implicit and inverse function theorems, the integral theorems of Gauss and Stokes--the text treats other important topics in differential analysis, such as Morse's lemma and the Poincaré lemma. The ideas behind most topics can be understood with just two or three variables. The book incorporates modern computational tools to give visualization real power. Using 2D and 3D graphics, the book offers new insights into fundamental elements of the calculus of differentiable maps. The geometric theme continues with an analysis of the physical meaning of the divergence and the curl at a level of detail not found in other advanced calculus books. This is a textbook for undergraduates and graduate students in mathematics, the physical sciences, and economics. Prerequisites are an introduction to linear algebra and multivariable calculus. There is enough material for a year-long course on advanced calculus and for a variety of semester courses--including topics in geometry. The measured pace of the book, with its extensive examples and illustrations, make it especially suitable for independent study.

CALCULUS: CONCEPTS AND CONTEXTS is highly regarded because this text offers a balance of theory and conceptual work to satisfy more progressive programs as well as those who are more comfortable teaching in a more traditional fashion.

Author: James Stewart

Publisher: Cengage Learning

ISBN: 1337687669

Category: Mathematics

Page: 1152

View: 687

Offering a more robust WebAssign course, Stewart's CALCULUS: CONCEPTS AND CONTEXTS, Enhanced Edition, 4th Edition, offers a streamlined approach to teaching calculus, focusing on major concepts and supporting those with precise definitions, patient explanations, and carefully graded problems. CALCULUS: CONCEPTS AND CONTEXTS is highly regarded because this text offers a balance of theory and conceptual work to satisfy more progressive programs as well as those who are more comfortable teaching in a more traditional fashion. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Let A be a type context and let P and U be types. ... The proof is by induction on the structure of P. □ 10.2 Typed Pattern Calculus A context 9 is given ...

Author: Barry Jay

Publisher: Springer Science & Business Media

ISBN: 9783540891857

Category: Computers

Page: 213

View: 968

Over time, basic research tends to lead to specialization – increasingly narrow t- ics are addressed by increasingly focussed communities, publishing in increasingly con ned workshops and conferences, discussing increasingly incremental contri- tions. Already the community of programming languages is split into various s- communities addressing different aspects and paradigms (functional, imperative, relational, and object-oriented). Only a few people manage to maintain a broader view, and even fewer step back in order to gain an understanding about the basic principles, their interrelation, and their impact in a larger context. The pattern calculus is the result of a profound re-examination of a 50-year - velopment. It attempts to provide a unifying approach, bridging the gaps between different programming styles and paradigms according to a new slogan – compu- tion is pattern matching. It is the contribution of this book to systematically and elegantly present and evaluate the power of pattern matching as the guiding paradigm of programming. Patterns are dynamically generated, discovered, passed, applied, and automatically adapted, based on pattern matching and rewriting technology, which allows one to elegantly relate things as disparate as functions and data structures. Of course, pattern matching is not new. It underlies term rewriting – it is, for example, inc- porated in, typically functional, programming languages, like Standard ML – but it has never been pursued as the basis of a unifying framework for programming.

This new book, demonstrating the relevance of Malliavin calculus for Mathematical Finance, starts with an exposition from scratch of this theory. Greeks (price sensitivities) are reinterpreted in terms of Malliavin calculus.

Author: Paul Malliavin

Publisher: Springer Science & Business Media

ISBN: 9783540307990

Category: Business & Economics

Page: 142

View: 542

Highly esteemed author Topics covered are relevant and timely