Honors Calculus
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Honors Calculus
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Author : Charles R. MacCluer
language : en
Publisher: Princeton University Press
Release Date : 2020-09-01
Honors Calculus written by Charles R. MacCluer and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-01 with Mathematics categories.
This is the first modern calculus book to be organized axiomatically and to survey the subject's applicability to science and engineering. A challenging exposition of calculus in the European style, it is an excellent text for a first-year university honors course or for a third-year analysis course. The calculus is built carefully from the axioms with all the standard results deduced from these axioms. The concise construction, by design, provides maximal flexibility for the instructor and allows the student to see the overall flow of the development. At the same time, the book reveals the origins of the calculus in celestial mechanics and number theory. The book introduces many topics often left to the appendixes in standard calculus textbooks and develops their connections with physics, engineering, and statistics. The author uses applications of derivatives and integrals to show how calculus is applied in these disciplines. Solutions to all exercises (even those involving proofs) are available to instructors upon request, making this book unique among texts in the field. Focuses on single variable calculus Provides a balance of precision and intuition Offers both routine and demanding exercises
Honors Calculus
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Author : Henry Helson
language : en
Publisher:
Release Date : 1995
Honors Calculus written by Henry Helson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Calculus categories.
48 Hours Of Honors Calculus
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Author : Amir Babak Aazami
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-07-08
48 Hours Of Honors Calculus written by Amir Babak Aazami and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-08 with categories.
This textbook is ideal for a year-long sequence of Honors Calculus at the undergraduate level, or for self-study; it is based on an Honors Calculus course the author has taught at Clark University, where he is an assistant professor of Mathematics. It is intended for all students in the sciences, though the emphasis is on proofs and foundations over computations. Its sincere wish is to awaken in the student a love of mathematical argument, and to inspire her or him to major in mathematics. One novelty of the book is that it includes a substantial amount of ordinary differential equations (ODEs) and multivariable calculus, topics usually not covered in an Honors Calculus course. Applications are also discussed: compound interest and continuous compounding in finance; Newton's method; Hamiltonian systems and Newton's law of gravitation; ODEs inspired from physics and population dynamics; and an introduction to gradient descent and neural networks. There are over 120 exercises. This text is a natural precursor to more advanced undergraduate texts in real analysis, such as Understanding Analysis by Stephen Abbott or Principles of Mathematical Analysis by Walter Rudin.
Honors Calculus
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Author : Robert Gardner Bartle
language : en
Publisher:
Release Date : 1970
Honors Calculus written by Robert Gardner Bartle and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Calcul infinitésimal categories.
A Freshman Honors Course In Calculus And Analytic Geometry Taught At Princeton University
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Author : Emil Artin
language : en
Publisher:
Release Date : 1958
A Freshman Honors Course In Calculus And Analytic Geometry Taught At Princeton University written by Emil Artin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with Calculus categories.
An Introduction To Calculus
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Author : Robert Gardner Bartle
language : en
Publisher:
Release Date : 1968
An Introduction To Calculus written by Robert Gardner Bartle and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Calculus categories.
Introduction To Calculus And Classical Analysis
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Author : Omar Hijab
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-17
Introduction To Calculus And Classical Analysis written by Omar Hijab and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-17 with Mathematics categories.
Intended for an honors calculus course or for an introduction to analysis, this is an ideal text for undergraduate majors since it covers rigorous analysis, computational dexterity, and a breadth of applications. The book contains many remarkable features: * complete avoidance of /epsilon-/delta arguments by using sequences instead * definition of the integral as the area under the graph, while area is defined for every subset of the plane * complete avoidance of complex numbers * heavy emphasis on computational problems * applications from many parts of analysis, e.g. convex conjugates, Cantor set, continued fractions, Bessel functions, the zeta functions, and many more * 344 problems with solutions in the back of the book.
Calculus University Of Michigan Edition
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Author : James Stewart
language : en
Publisher:
Release Date : 2008
Calculus University Of Michigan Edition written by James Stewart and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Calculus categories.
Introduction To Calculus And Classical Analysis
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Author : Omar Hijab
language : en
Publisher: Springer
Release Date : 2016-02-09
Introduction To Calculus And Classical Analysis written by Omar Hijab and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-09 with Mathematics categories.
This text is intended for an honors calculus course or for an introduction to analysis. Involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate majors. This third edition includes corrections as well as some additional material. Some features of the text include: The text is completely self-contained and starts with the real number axioms; The integral is defined as the area under the graph, while the area is defined for every subset of the plane; There is a heavy emphasis on computational problems, from the high-school quadratic formula to the formula for the derivative of the zeta function at zero; There are applications from many parts of analysis, e.g., convexity, the Cantor set, continued fractions, the AGM, the theta and zeta functions, transcendental numbers, the Bessel and gamma functions, and many more; Traditionally transcendentally presented material, such as infinite products, the Bernoulli series, and the zeta functional equation, is developed over the reals; and There are 385 problems with all the solutions at the back of the text.
Advanced Calculus
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Author : Lynn Harold Loomis
language : en
Publisher: World Scientific Publishing Company
Release Date : 2014-02-26
Advanced Calculus written by Lynn Harold Loomis and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-26 with Mathematics categories.
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.