Calculus, Volume 2

Calculus, Volume 2 PDF Author: Tom M. Apostol
Publisher: Wiley Global Education
ISBN: 1119528909
Category : Mathematics
Languages : en
Pages : 700

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Book Description
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.

Calculus, Volume 2

Calculus, Volume 2 PDF Author: Tom M. Apostol
Publisher: Wiley Global Education
ISBN: 1119528909
Category : Mathematics
Languages : en
Pages : 700

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Book Description
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.

Calculus: Multi-variable calculus and linear algebra, with applications to differential equations and probability

Calculus: Multi-variable calculus and linear algebra, with applications to differential equations and probability PDF Author: Tom M. Apostol
Publisher:
ISBN:
Category : Calculi
Languages : en
Pages : 710

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Book Description


Calculus, Volume Ii, 2nd Ed Multi-variable Calculus and Linear Algebra, with Applications to Differential Equations and Probabil

Calculus, Volume Ii, 2nd Ed Multi-variable Calculus and Linear Algebra, with Applications to Differential Equations and Probabil PDF Author: Tom M. Apostol
Publisher: John Wiley & Sons
ISBN: 9788126515202
Category : Calculus
Languages : en
Pages : 704

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Book Description
· Linear Analysis · Linear Spaces · Linear Transformations and Matrices · Determinants · Eigenvalues and Eigenvectors · Eigenvalues of Operators Acting on Euclidean Spaces · Linear Differential Equations · Systems of Differential Equations · Nonlinear Analysis · Differential Calculus of Scalar and Vector Fields · Applications of the Differential Calculus · Line Integrals · Special Topics · Set Functions and Elementary Probability · Calculus of Probabilities · Introduction to Numerical Analysis

Multivariable Calculus, Linear Algebra, and Differential Equations

Multivariable Calculus, Linear Algebra, and Differential Equations PDF Author: Stanley I. Grossman
Publisher: Academic Press
ISBN: 1483218031
Category : Mathematics
Languages : en
Pages : 993

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Book Description
Multivariable Calculus, Linear Algebra, and Differential Equations, Second Edition contains a comprehensive coverage of the study of advanced calculus, linear algebra, and differential equations for sophomore college students. The text includes a large number of examples, exercises, cases, and applications for students to learn calculus well. Also included is the history and development of calculus. The book is divided into five parts. The first part includes multivariable calculus material. The second part is an introduction to linear algebra. The third part of the book combines techniques from calculus and linear algebra and contains discussions of some of the most elegant results in calculus including Taylor's theorem in "n" variables, the multivariable mean value theorem, and the implicit function theorem. The fourth section contains detailed discussions of first-order and linear second-order equations. Also included are optional discussions of electric circuits and vibratory motion. The final section discusses Taylor's theorem, sequences, and series. The book is intended for sophomore college students of advanced calculus.

Student Solution Manual to Accompany the 4th Edition of Vector Calculus, Linear Algebra, and Differential Forms, a Unified Approach

Student Solution Manual to Accompany the 4th Edition of Vector Calculus, Linear Algebra, and Differential Forms, a Unified Approach PDF Author: John Hamal Hubbard
Publisher:
ISBN: 9780971576674
Category : Algebras, Linear
Languages : en
Pages : 284

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Book Description


Calculus on Manifolds

Calculus on Manifolds PDF Author: Michael Spivak
Publisher: Westview Press
ISBN: 9780805390216
Category : Science
Languages : en
Pages : 164

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Book Description
This book uses elementary versions of modern methods found in sophisticated mathematics to discuss portions of "advanced calculus" in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level.

Advanced Calculus (Revised Edition)

Advanced Calculus (Revised Edition) PDF Author: Lynn Harold Loomis
Publisher: World Scientific Publishing Company
ISBN: 9814583952
Category : Mathematics
Languages : en
Pages : 595

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Book Description
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

The Mechanical Universe

The Mechanical Universe PDF Author: Steven C. Frautschi
Publisher: Cambridge University Press
ISBN: 1139642901
Category : Science
Languages : en
Pages : 603

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Book Description
This innovative physics textbook intended for science and engineering majors develops classical mechanics from a historical perspective. The presentation of the standard course material includes a discussion of the thought processes of the discoverers and a description of the methods by which they arrived at their theories. However the presentation proceeds logically rather than strictly chronologically, so new concepts are introduced at the natural moment. The book assumes a familiarity with calculus, includes a discussion of rigid body motion, and contains numerous thought-provoking problems. It is largely based in content on The Mechanical Universe: Introduction to Mechanics and Heat, a book designed in conjunction with a tele-course to be offered by PBS in the Fall of 1985. The advanced edition, however, does not coincide exactly with the video lessons, contains additional material, and develops the fundamental ideas introduced in the lower-level edition to a greater degree.

New Horizons in Geometry

New Horizons in Geometry PDF Author: Tom M. Apostol
Publisher: American Mathematical Soc.
ISBN: 1470443368
Category : Mathematics
Languages : en
Pages : 520

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Book Description


Foundations of Differential Calculus

Foundations of Differential Calculus PDF Author: Euler
Publisher: Springer Science & Business Media
ISBN: 0387226451
Category : Mathematics
Languages : en
Pages : 208

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Book Description
The positive response to the publication of Blanton's English translations of Euler's "Introduction to Analysis of the Infinite" confirmed the relevance of this 240 year old work and encouraged Blanton to translate Euler's "Foundations of Differential Calculus" as well. The current book constitutes just the first 9 out of 27 chapters. The remaining chapters will be published at a later time. With this new translation, Euler's thoughts will not only be more accessible but more widely enjoyed by the mathematical community.