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Introduction to Calculus and Analysis: Volume I

Posted By: AvaxGenius
Introduction to Calculus and Analysis: Volume I

Introduction to Calculus and Analysis: Volume I by Richard Courant , Fritz John
English | PDF | 1989 | 682 Pages | ISBN : N/A | 50.3 MB

From the Preface: (…) The book is addressed to students on various levels, to mathematicians, scientists, engineers. It does not pretend to make the subject easy by glossing over difficulties, but rather tries to help the genuinely interested reader by throwing light on the interconnections and purposes of the whole. Instead of obstructing the access to the wealth of facts by lengthy discussions of a fundamental nature we have sometimes postponed such discussions to appendices in the various chapters. Numerous examples and problems are given at the end of various chapters. Some are challenging, some are even difficult; most of them supplement the material in the text. In an additional pamphlet more problems and exercises of a routine character will be collected, and moreover, answers or hints for the solutions will be given. This first volume of concerned primarily with functions of a single variable, whereas the second volume will discuss the more ramified theories of calculus (…).

Manifolds, Tensor Analysis, and Applications

Posted By: AvaxGenius
Manifolds, Tensor Analysis, and Applications

Manifolds, Tensor Analysis, and Applications by Ralph Abraham, Jerrold E. Marsden, Tudor Ratiu
English | PDF | 1988 | 666 Pages | ISBN : 0387967907 | 43.5 MB

The purpose of this book is to provide core material in nonlinear analysis for mathematicians, physicists, engineers, and mathematical biologists. The main goal is to provide a working knowledge of manifolds, dynamical systems, tensors, and differential forms. Some applications to Hamiltonian mechanics, fluid me­ chanics, electromagnetism, plasma dynamics and control thcory arc given in Chapter 8, using both invariant and index notation. The current edition of the book does not deal with Riemannian geometry in much detail, and it does not treat Lie groups, principal bundles, or Morse theory.

Calculus Made Easy

Posted By: AvaxGenius
Calculus Made Easy

Calculus Made Easy by Silvanus P. Thompson
English | PDF | 1998 | 337 Pages | ISBN : 0333772431 | 20.5 MB

Calculus Made Easy has been a classic introduction to the subject ever since it was first published by Silvanus P.Thompson in 1910. In the first major revision of the text since 1946, Martin Gardner - the 'Mathematical Games' columnist for Scientific American and author of over 50 books and innumerable articles - has thoroughly updated the text to reflect recent developments in method and terminology, written an extensive preface and three new chapters, and added more than 20 recreational problems for practice and enjoyment. He has transformed this classic primer into a modern masterpiece that explains the timeless concepts of calculus in a contemporary and user-friendly voice.

Commodities and Commodity Derivatives: Modelling and Pricing for Agriculturals, Metals and Energy

Posted By: l3ivo
Commodities and Commodity Derivatives: Modelling and Pricing for Agriculturals, Metals and Energy

Helyette Geman, "Commodities and Commodity Derivatives: Modelling and Pricing for Agriculturals, Metals and Energy"
English | 2005 | ISBN: 0470012188 | 416 pages | EPUB | 7.4 MB

Differential Quadrature and Its Application in Engineering

Posted By: AvaxGenius
Differential Quadrature and Its Application in Engineering

Differential Quadrature and Its Application in Engineering by Chang Shu
English | PDF | 2000 | 356 Pages | ISBN : 144711132X | 26.1 MB

In the past few years, the differential quadrature method has been applied extensively in engineering. This book, aimed primarily at practising engineers, scientists and graduate students, gives a systematic description of the mathematical fundamentals of differential quadrature and its detailed implementation in solving Helmholtz problems and problems of flow, structure and vibration.

A Course in Multivariable Calculus and Analysis

Posted By: AvaxGenius
A Course in Multivariable Calculus and Analysis

A Course in Multivariable Calculus and Analysis by Sudhir R. Ghorpade
English | True PDF | 2009 | 495 Pages | ISBN : 1441916202 | 6.95 MB

This self-contained textbook gives a thorough exposition of multivariable calculus. It can be viewed as a sequel to the one-variable calculus text, A Course in Calculus and Real Analysis, published in the same series.

Advanced Calculus: A Geometric View

Posted By: AvaxGenius
Advanced Calculus: A Geometric View

Advanced Calculus: A Geometric View by James J. Callahan
English | True PDF | 2010 | 542 Pages | ISBN : 1441973311 | 10.07 MB

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.