Calculus in Context

Topics covered in the book include: • the basics of geometry, trigonometry, algebra, and coordinate geometry and the historical, scientific agenda that drove their development • a brief, introductory calculus from the works of Newton ...

Calculus in Context

Author: Alexander J. Hahn

Publisher: JHU Press

ISBN: 1421422301

Page: 712

View: 238

Breaking the mold of existing calculus textbooks, Calculus in Context draws students into the subject in two new ways. Part I develops the mathematical preliminaries (including geometry, trigonometry, algebra, and coordinate geometry) within the historical frame of the ancient Greeks and the heliocentric revolution in astronomy. Part II starts with comprehensive and modern treatments of the fundamentals of both differential and integral calculus, then turns to a wide-ranging discussion of applications. Students will learn that core ideas of calculus are central to concepts such as acceleration, force, momentum, torque, inertia, and the properties of lenses. Classroom-tested at Notre Dame University, this textbook is suitable for students of wide-ranging backgrounds because it engages its subject at several levels and offers ample and flexible problem set options for instructors. Parts I and II are both supplemented by expansive Problems and Projects segments. Topics covered in the book include: • the basics of geometry, trigonometry, algebra, and coordinate geometry and the historical, scientific agenda that drove their development • a brief, introductory calculus from the works of Newton and Leibniz • a modern development of the essentials of differential and integral calculus • the analysis of specific, relatable applications, such as the arc of the George Washington Bridge; the dome of the Pantheon; the optics of a telescope; the dynamics of a bullet; the geometry of the pseudosphere; the motion of a planet in orbit; and the momentum of an object in free fall. 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.

Calculus in Context

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.

Calculus in Context

Author: James Callahan

Publisher: W H Freeman & Company

ISBN: 9780716726302

Page: 818

View: 257

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.

Calculus in Context

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.

Calculus in Context

Author: H.A. Calahan

Publisher: W.H. Freeman

ISBN: 9780716726838

Page:

View: 193

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.

Calculus in Context

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.

Calculus in Context

Author: James Callahan

Publisher: W.H. Freeman

ISBN: 9780716725381

Page: 794

View: 883

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.

A typed context calculus

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

A typed context calculus

Author: Masatomo Hashimoto

Publisher:

ISBN:

Page: 17

View: 871

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

Helps students take advantage of the TI-85/86 through a variety of labs and exercises.

Calculus

Author: Stewart

Publisher: Brooks/Cole Publishing Company

ISBN: 9780534349691

Page: 155

View: 585

Helps students take advantage of the TI-85/86 through a variety of labs and exercises.

Advanced Calculus

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.

Advanced Calculus

Author: James J. Callahan

Publisher: Springer Science & Business Media

ISBN: 9781441973320

Page: 526

View: 850

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

Helps students take advantage of the TI-82/83 through a variety of labs and exercises.

Calculus

Author: Selwyn L. Hollis

Publisher: Brooks/Cole Publishing Company

ISBN: 9780534349684

Page: 165

View: 921

Helps students take advantage of the TI-82/83 through a variety of labs and exercises.