advance calculus free download

Download Book Advance Calculus Free Download in PDF format. You can Read Online Advance Calculus Free Download here in PDF, EPUB, Mobi or Docx formats.

Advanced Calculus

Author : Lynn Harold Loomis
ISBN : 9789814583954
Genre : Mathematics
File Size : 37. 83 MB
Format : PDF, ePub, Docs
Download : 909
Read : 960

Download Now


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.

Advanced Calculus

Author : James J. Callahan
ISBN : 144197332X
Genre : Mathematics
File Size : 30. 40 MB
Format : PDF, ePub
Download : 189
Read : 734

Download Now


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.

Advanced Calculus

Author : Leonard F. Richardson
ISBN : UCSC:32106019495701
Genre : Mathematics
File Size : 84. 79 MB
Format : PDF, Docs
Download : 412
Read : 1278

Download Now


Features an introduction to advanced calculus and highlights its inherent concepts from linear algebra "Advanced Calculus" reflects the unifying role of linear algebra in an effort to smooth readers' transition to advanced mathematics. The book fosters the development of complete theorem-proving skills through abundant exercises while also promoting a sound approach to the study. The traditional theorems of elementary differential and integral calculus are rigorously established, presenting the foundations of calculus in a way that reorients thinking toward modern analysis. Following an introduction dedicated to writing proofs, the book is divided into three parts: Part One explores foundational one-variable calculus topics from the viewpoint of linear spaces, norms, completeness, and linear functionals. Part Two covers Fourier series and Stieltjes integration, which are advanced one-variable topics. Part Three is dedicated to multivariable advanced calculus, including inverse and implicit function theorems and Jacobian theorems for multiple integrals. Numerous exercises guide readers through the creation of their own proofs, and they also put newly learned methods into practice. In addition, a "Test Yourself" section at the end of each chapter consists of short questions that reinforce the understanding of basic concepts and theorems. The answers to these questions and other selected exercises can be found at the end of the book along with an appendix that outlines key terms and symbols from set theory. Guiding readers from the study of the topology of the real line to the beginning theorems and concepts of graduate analysis, "Advanced Calculus" is an ideal text for courses in advanced calculus and introductory analysis at the upper-undergraduate and beginning-graduate levels. It also serves as a valuable reference for engineers, scientists, and mathematicians.

Advanced Calculus

Author : John Srdjan Petrovic
ISBN : 9781466565647
Genre : Mathematics
File Size : 55. 96 MB
Format : PDF, Kindle
Download : 827
Read : 1324

Download Now


Suitable for a one- or two-semester course, Advanced Calculus: Theory and Practice expands on the material covered in elementary calculus and presents this material in a rigorous manner. The text improves students’ problem-solving and proof-writing skills, familiarizes them with the historical development of calculus concepts, and helps them understand the connections among different topics. The book takes a motivating approach that makes ideas less abstract to students. It explains how various topics in calculus may seem unrelated but in reality have common roots. Emphasizing historical perspectives, the text gives students a glimpse into the development of calculus and its ideas from the age of Newton and Leibniz to the twentieth century. Nearly 300 examples lead to important theorems as well as help students develop the necessary skills to closely examine the theorems. Proofs are also presented in an accessible way to students. By strengthening skills gained through elementary calculus, this textbook leads students toward mastering calculus techniques. It will help them succeed in their future mathematical or engineering studies.

Advanced Calculus Of Several Variables

Author : C. H. Edwards
ISBN : 9780486131955
Genre : Mathematics
File Size : 31. 75 MB
Format : PDF, ePub, Docs
Download : 393
Read : 254

Download Now


Modern conceptual treatment of multivariable calculus, emphasizing interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones. Over 400 well-chosen problems. 1973 edition.

Advanced Calculus

Author : Avner Friedman
ISBN : 9780486137865
Genre : Mathematics
File Size : 53. 27 MB
Format : PDF, ePub, Docs
Download : 421
Read : 807

Download Now


Intended for students who have already completed a one-year course in elementary calculus, this two-part treatment advances from functions of one variable to those of several variables. Solutions. 1971 edition.

Advanced Calculus

Author : David V. Widder
ISBN : 1607964945
Genre : Mathematics
File Size : 64. 48 MB
Format : PDF, Kindle
Download : 940
Read : 666

Download Now


Precise approach with definitions, theorems, proofs, examples and exercises. Topics include partial differentiation, vectors, differential geometry, Stieltjes integral, infinite series, gamma function, Fourier series, Laplace transform, much more. Numerous graded exercises with selected answers.

A Course In Advanced Calculus

Author : Robert S. Borden
ISBN : 9780486150383
Genre : Mathematics
File Size : 25. 27 MB
Format : PDF, ePub
Download : 495
Read : 151

Download Now


An excellent undergraduate text examines sets and structures, limit and continuity in En, measure and integration, differentiable mappings, sequences and series, applications of improper integrals, more. Problems with tips and solutions for some.

Advanced Calculus

Author : Harold M. Edwards
ISBN : 9781461202714
Genre : Mathematics
File Size : 36. 9 MB
Format : PDF, ePub, Docs
Download : 796
Read : 947

Download Now


This book is a high-level introduction to vector calculus based solidly on differential forms. Informal but sophisticated, it is geometrically and physically intuitive yet mathematically rigorous. It offers remarkably diverse applications, physical and mathematical, and provides a firm foundation for further studies.

Advanced Calculus

Author : H.K Nickerson
ISBN : 9780486173740
Genre : Mathematics
File Size : 36. 34 MB
Format : PDF
Download : 902
Read : 827

Download Now


Starting with an abstract treatment of vector spaces and linear transforms, this introduction presents a corresponding theory of integration and concludes with applications to analytic functions of complex variables. 1959 edition.

Top Download:

Best Books