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| serge lang first course in calculus: A First Course in Calculus Serge Lang, 2012-09-17 The purpose of a first course in calculus is to teach the student the basic notions of derivative and integral, and the basic techniques and applica tions which accompany them. The very talented students, with an ob vious aptitude for mathematics, will rapidly require a course in functions of one real variable, more or less as it is understood by professional is not primarily addressed to them (although mathematicians. This book I hope they will be able to acquire from it a good introduction at an early age). I have not written this course in the style I would use for an advanced monograph, on sophisticated topics. One writes an advanced monograph for oneself, because one wants to give permanent form to one's vision of some beautiful part of mathematics, not otherwise ac cessible, somewhat in the manner of a composer setting down his sym phony in musical notation. This book is written for the students to give them an immediate, and pleasant, access to the subject. I hope that I have struck a proper com promise, between dwelling too much on special details and not giving enough technical exercises, necessary to acquire the desired familiarity with the subject. In any case, certain routine habits of sophisticated mathematicians are unsuitable for a first course. Rigor. This does not mean that so-called rigor has to be abandoned. |
| serge lang first course in calculus: Calculus of Several Variables Serge Lang, 2012-10-17 This new, revised edition covers all of the basic topics in calculus of several variables, including vectors, curves, functions of several variables, gradient, tangent plane, maxima and minima, potential functions, curve integrals, Green’s theorem, multiple integrals, surface integrals, Stokes’ theorem, and the inverse mapping theorem and its consequences. It includes many completely worked-out problems. |
| serge lang first course in calculus: Basic Mathematics Serge Lang, 1988-01 |
| serge lang first course in calculus: Undergraduate Algebra Serge Lang, 2013-06-29 This book, together with Linear Algebra, constitutes a curriculum for an algebra program addressed to undergraduates. The separation of the linear algebra from the other basic algebraic structures fits all existing tendencies affecting undergraduate teaching, and I agree with these tendencies. I have made the present book self contained logically, but it is probably better if students take the linear algebra course before being introduced to the more abstract notions of groups, rings, and fields, and the systematic development of their basic abstract properties. There is of course a little overlap with the book Lin ear Algebra, since I wanted to make the present book self contained. I define vector spaces, matrices, and linear maps and prove their basic properties. The present book could be used for a one-term course, or a year's course, possibly combining it with Linear Algebra. I think it is important to do the field theory and the Galois theory, more important, say, than to do much more group theory than we have done here. There is a chapter on finite fields, which exhibit both features from general field theory, and special features due to characteristic p. Such fields have become important in coding theory. |
| serge lang first course in calculus: Real and Functional Analysis Serge Lang, 2012-12-06 This book is meant as a text for a first year graduate course in analysis. Any standard course in undergraduate analysis will constitute sufficient preparation for its understanding, for instance, my Undergraduate Anal ysis. I assume that the reader is acquainted with notions of uniform con vergence and the like. In this third edition, I have reorganized the book by covering inte gration before functional analysis. Such a rearrangement fits the way courses are taught in all the places I know of. I have added a number of examples and exercises, as well as some material about integration on the real line (e.g. on Dirac sequence approximation and on Fourier analysis), and some material on functional analysis (e.g. the theory of the Gelfand transform in Chapter XVI). These upgrade previous exercises to sections in the text. In a sense, the subject matter covers the same topics as elementary calculus, viz. linear algebra, differentiation and integration. This time, however, these subjects are treated in a manner suitable for the training of professionals, i.e. people who will use the tools in further investiga tions, be it in mathematics, or physics, or what have you. In the first part, we begin with point set topology, essential for all analysis, and we cover the most important results. |
| serge lang first course in calculus: Introduction to Linear Algebra Serge Lang, 2012-12-06 This is a short text in linear algebra, intended for a one-term course. In the first chapter, Lang discusses the relation between the geometry and the algebra underlying the subject, and gives concrete examples of the notions which appear later in the book. He then starts with a discussion of linear equations, matrices and Gaussian elimination, and proceeds to discuss vector spaces, linear maps, scalar products, determinants, and eigenvalues. The book contains a large number of exercises, some of the routine computational type, while others are conceptual. |
| serge lang first course in calculus: A First Course in Calculus Serge Lang, 1998-03-16 This fifth edition of Lang's book covers all the topics traditionally taught in the first-year calculus sequence. Divided into five parts, each section of A FIRST COURSE IN CALCULUS contains examples and applications relating to the topic covered. In addition, the rear of the book contains detailed solutions to a large number of the exercises, allowing them to be used as worked-out examples -- one of the main improvements over previous editions. |
| serge lang first course in calculus: A First Course in Real Analysis Sterling K. Berberian, 2012-09-10 Mathematics is the music of science, and real analysis is the Bach of mathematics. There are many other foolish things I could say about the subject of this book, but the foregoing will give the reader an idea of where my heart lies. The present book was written to support a first course in real analysis, normally taken after a year of elementary calculus. Real analysis is, roughly speaking, the modern setting for Calculus, real alluding to the field of real numbers that underlies it all. At center stage are functions, defined and taking values in sets of real numbers or in sets (the plane, 3-space, etc.) readily derived from the real numbers; a first course in real analysis traditionally places the emphasis on real-valued functions defined on sets of real numbers. The agenda for the course: (1) start with the axioms for the field ofreal numbers, (2) build, in one semester and with appropriate rigor, the foun dations of calculus (including the Fundamental Theorem), and, along theway, (3) develop those skills and attitudes that enable us to continue learning mathematics on our own. Three decades of experience with the exercise have not diminished my astonishment that it can be done. |
| serge lang first course in calculus: Calculus Morris Kline, 2013-05-09 Application-oriented introduction relates the subject as closely as possible to science with explorations of the derivative; differentiation and integration of the powers of x; theorems on differentiation, antidifferentiation; the chain rule; trigonometric functions; more. Examples. 1967 edition. |
| serge lang first course in calculus: Advanced Calculus Patrick Fitzpatrick, 2009 Advanced Calculus is intended as a text for courses that furnish the backbone of the student's undergraduate education in mathematical analysis. The goal is to rigorously present the fundamental concepts within the context of illuminating examples and stimulating exercises. This book is self-contained and starts with the creation of basic tools using the completeness axiom. The continuity, differentiability, integrability, and power series representation properties of functions of a single variable are established. The next few chapters describe the topological and metric properties of Euclidean space. These are the basis of a rigorous treatment of differential calculus (including the Implicit Function Theorem and Lagrange Multipliers) for mappings between Euclidean spaces and integration for functions of several real variables.--pub. desc. |
| serge lang first course in calculus: Second Year Calculus David M. Bressoud, 2012-12-06 Second Year Calculus: From Celestial Mechanics to Special Relativity covers multi-variable and vector calculus, emphasizing the historical physical problems which gave rise to the concepts of calculus. The book carries us from the birth of the mechanized view of the world in Isaac Newton's Mathematical Principles of Natural Philosophy in which mathematics becomes the ultimate tool for modelling physical reality, to the dawn of a radically new and often counter-intuitive age in Albert Einstein's Special Theory of Relativity in which it is the mathematical model which suggests new aspects of that reality. The development of this process is discussed from the modern viewpoint of differential forms. Using this concept, the student learns to compute orbits and rocket trajectories, model flows and force fields, and derive the laws of electricity and magnetism. These exercises and observations of mathematical symmetry enable the student to better understand the interaction of physics and mathematics. |
| serge lang first course in calculus: Geometry Serge Lang, Gene Murrow, 2013-04-17 From the reviews: A prominent research mathematician and a high school teacher have combined their efforts in order to produce a high school geometry course. The result is a challenging, vividly written volume which offers a broader treatment than the traditional Euclidean one, but which preserves its pedagogical virtues. The material included has been judiciously selected: some traditional items have been omitted, while emphasis has been laid on topics which relate the geometry course to the mathematics that precedes and follows. The exposition is clear and precise, while avoiding pedantry. There are many exercises, quite a number of them not routine. The exposition falls into twelve chapters: 1. Distance and Angles.- 2. Coordinates.- 3. Area and the Pythagoras Theorem.- 4. The Distance Formula.- 5. Some Applications of Right Triangles.- 6. Polygons.- 7. Congruent Triangles.- 8. Dilatations and Similarities.- 9. Volumes.- 10. Vectors and Dot Product.- 11. Transformations.- 12. Isometries.This excellent text, presenting elementary geometry in a manner fully corresponding to the requirements of modern mathematics, will certainly obtain well-merited popularity. Publicationes Mathematicae Debrecen#1 |
| serge lang first course in calculus: Complex Analysis Serge Lang, 2013-04-10 The present book is meant as a text for a course on complex analysis at the advanced undergraduate level, or first-year graduate level. Somewhat more material has been included than can be covered at leisure in one term, to give opportunities for the instructor to exercise his taste, and lead the course in whatever direction strikes his fancy at the time. A large number of routine exercises are included for the more standard portions, and a few harder exercises of striking theoretical interest are also included, but may be omitted in courses addressed to less advanced students. In some sense, I think the classical German prewar texts were the best (Hurwitz-Courant, Knopp, Bieberbach, etc. ) and I would recom mend to anyone to look through them. More recent texts have empha sized connections with real analysis, which is important, but at the cost of exhibiting succinctly and clearly what is peculiar about complex anal ysis: the power series expansion, the uniqueness of analytic continuation, and the calculus of residues. The systematic elementary development of formal and convergent power series was standard fare in the German texts, but only Cartan, in the more recent books, includes this material, which I think is quite essential, e. g. , for differential equations. I have written a short text, exhibiting these features, making it applicable to a wide variety of tastes. The book essentially decomposes into two parts. |
| serge lang first course in calculus: Differential and Riemannian Manifolds Serge Lang, 2012-12-06 This is the third version of a book on differential manifolds. The first version appeared in 1962, and was written at the very beginning of a period of great expansion of the subject. At the time, I found no satisfactory book for the foundations of the subject, for multiple reasons. I expanded the book in 1971, and I expand it still further today. Specifically, I have added three chapters on Riemannian and pseudo Riemannian geometry, that is, covariant derivatives, curvature, and some applications up to the Hopf-Rinow and Hadamard-Cartan theorems, as well as some calculus of variations and applications to volume forms. I have rewritten the sections on sprays, and I have given more examples of the use of Stokes' theorem. I have also given many more references to the literature, all of this to broaden the perspective of the book, which I hope can be used among things for a general course leading into many directions. The present book still meets the old needs, but fulfills new ones. At the most basic level, the book gives an introduction to the basic concepts which are used in differential topology, differential geometry, and differential equations. In differential topology, one studies for instance homotopy classes of maps and the possibility of finding suitable differentiable maps in them (immersions, embeddings, isomorphisms, etc.). |
| serge lang first course in calculus: Linear Algebra Lang, 1996 |
| serge lang first course in calculus: Advanced Calculus James J. Callahan, 2010-09-09 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. |
| serge lang first course in calculus: Undergraduate Analysis Serge Lang, 2013-03-14 This is a logically self-contained introduction to analysis, suitable for students who have had two years of calculus. The book centers around those properties that have to do with uniform convergence and uniform limits in the context of differentiation and integration. Topics discussed include the classical test for convergence of series, Fourier series, polynomial approximation, the Poisson kernel, the construction of harmonic functions on the disc, ordinary differential equation, curve integrals, derivatives in vector spaces, multiple integrals, and others. In this second edition, the author has added a new chapter on locally integrable vector fields, has rewritten many sections and expanded others. There are new sections on heat kernels in the context of Dirac families and on the completion of normed vector spaces. A proof of the fundamental lemma of Lebesgue integration is included, in addition to many interesting exercises. |
| serge lang first course in calculus: Calculus, Volume 2 Tom M. Apostol, 2019-04-26 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. |
| serge lang first course in calculus: Logic and Structure Dirk van Dalen, 2013-11-11 Logic appears in a 'sacred' and in a 'profane' form. The sacred form is dominant in proof theory, the profane form in model theory. The phenomenon is not unfamiliar, one observes this dichotomy also in other areas, e.g. set theory and recursion theory. For one reason or another, such as the discovery of the set theoretical paradoxes (Cantor, Russell), or the definability paradoxes (Richard, Berry), a subject is treated for some time with the utmost awe and diffidence. As a rule, however, sooner or later people start to treat the matter in a more free and easy way. Being raised in the 'sacred' tradition, I was greatly surprised (and some what shocked) when I observed Hartley Rogers teaching recursion theory to mathema ticians as if it were just an ordinary course in, say, linear algebra or algebraic topology. In the course of time I have come to accept his viewpoint as the didac tically sound one: before going into esoteric niceties one should develop a certain feeling for the subject and obtain a reasonable amount of plain working knowledge. For this reason I have adopted the profane attitude in this introductory text, reserving the more sacred approach for advanced courses. Readers who want to know more about the latter aspect of logic are referred to the immortal texts of Hilbert-Bernays or Kleene. |
| serge lang first course in calculus: Solutions Manual for Calculus, a First Course Thomas M. K. Davison, James Stewart, Bryan Ferroni, 2002 |
| serge lang first course in calculus: Introduction to Calculus and Classical Analysis Omar Hijab, 2011-03-19 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: 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 emphasison 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; There are 385 problems with all the solutions at the back of the text. |
| serge lang first course in calculus: All the Mathematics You Missed Thomas A. Garrity, 2002 An essential resource for advanced undergraduate and beginning graduate students in quantitative subjects who need to quickly learn some serious mathematics. |
| serge lang first course in calculus: Essential Discrete Mathematics for Computer Science Harry Lewis, Rachel Zax, 2019-03-19 Discrete mathematics is the basis of much of computer science, from algorithms and automata theory to combinatorics and graph theory. Essential Discrete Mathematics for Computer Science aims to teach mathematical reasoning as well as concepts and skills by stressing the art of proof. It is fully illustrated in color, and each chapter includes a concise summary as well as a set of exercises. |
| serge lang first course in calculus: High-Probability Trading Marcel Link, 2003-03-17 A common denominator among most new traders is that, within six months of launching their new pursuit, they are out of money and out of trading. High-Probability Trading softens the impact of this trader's tuition, detailing a comprehensive program for weathering those perilous first months and becoming a profitable trader. This no-nonsense book takes a uniquely blunt look at the realities of trading. Filled with real-life examples and intended for use by both short- and long-term traders, it explores each aspect of successful trading. |
| serge lang first course in calculus: A Programmer's Introduction to Mathematics Jeremy Kun, 2018-11-27 A Programmer's Introduction to Mathematics uses your familiarity with ideas from programming and software to teach mathematics. You'll learn about the central objects and theorems of mathematics, including graphs, calculus, linear algebra, eigenvalues, optimization, and more. You'll also be immersed in the often unspoken cultural attitudes of mathematics, learning both how to read and write proofs while understanding why mathematics is the way it is. Between each technical chapter is an essay describing a different aspect of mathematical culture, and discussions of the insights and meta-insights that constitute mathematical intuition. As you learn, we'll use new mathematical ideas to create wondrous programs, from cryptographic schemes to neural networks to hyperbolic tessellations. Each chapter also contains a set of exercises that have you actively explore mathematical topics on your own. In short, this book will teach you to engage with mathematics. A Programmer's Introduction to Mathematics is written by Jeremy Kun, who has been writing about math and programming for 8 years on his blog Math Intersect Programming. As of 2018, he works in datacenter optimization at Google. |
| serge lang first course in calculus: Calculus: A Rigorous First Course Daniel J. Velleman, 2017-01-05 Rigorous and rewarding text for undergraduate math majors covers usual topics of first-year calculus: limits, derivatives, integrals, and infinite series. Requires only background in algebra and trigonometry. Solutions available to instructors. 2016 edition. |
| serge lang first course in calculus: Real Analysis N. L. Carothers, 2000-08-15 A text for a first graduate course in real analysis for students in pure and applied mathematics, statistics, education, engineering, and economics. |
| serge lang first course in calculus: Problems In Calculus of One Variable Ia Maron, 2023-02-24 The Classic Text Series is a collection of books written by the most famous mathematicians of their time and has been proven over the years as the most preferred concept-building tool to learn mathematics. Arihant's imprints of these books are a way of presenting these timeless classics. Compiled by IA MARON, the book Problems in Calculus of One Variable has been updated and deals with the modern treatment of complex concepts of Mathematics. Formulated as per the latest syllabus, this complete preparatory guide is accumulated with Problems and Solutions with Answer Keys to enhance problem-solving skills. The unique features accumulated in this book are: 1. Complete coverage of syllabus 2. Chapterwise division of Problems 3. Answers And Hints are provided in a great detailed manner 4. Enhance Mathematical Problem-Solving skills in a lucid manner 5. Works as an elementary textbook to build concepts TABLE OF CONTENT: Introduction to Mathematical Analysis, Differentiation of Functions, Application of Differential Calculus to Investigation of Functions, Indefinite Integrals. Basic Methods of Integration, Basic Classes of Integrable Functions, The Definite Integrals, Applications of the Definite Integral, Improper Integrals, Answers and Hints |
| serge lang first course in calculus: Mathematical Analysis I Vladimir A. Zorich, 2008-11-21 This softcover edition of a very popular two-volume work presents a thorough first course in analysis, leading from real numbers to such advanced topics as differential forms on manifolds, asymptotic methods, Fourier, Laplace, and Legendre transforms, elliptic functions and distributions. Especially notable in this course is the clearly expressed orientation toward the natural sciences and its informal exploration of the essence and the roots of the basic concepts and theorems of calculus. Clarity of exposition is matched by a wealth of instructive exercises, problems and fresh applications to areas seldom touched on in real analysis books. The first volume constitutes a complete course on one-variable calculus along with the multivariable differential calculus elucidated in an up-to-day, clear manner, with a pleasant geometric flavor. |
| serge lang first course in calculus: Differential and Integral Calculus, With Examples and Applications George A. Osborne, 2022-10-27 This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. |
| serge lang first course in calculus: Introduction to Linear Algebra Gilbert Strang, 1993 Book Description: Gilbert Strang's textbooks have changed the entire approach to learning linear algebra -- away from abstract vector spaces to specific examples of the four fundamental subspaces: the column space and nullspace of A and A'. Introduction to Linear Algebra, Fourth Edition includes challenge problems to complement the review problems that have been highly praised in previous editions. The basic course is followed by seven applications: differential equations, engineering, graph theory, statistics, Fourier methods and the FFT, linear programming, and computer graphics. Thousands of teachers in colleges and universities and now high schools are using this book, which truly explains this crucial subject. |
| serge lang first course in calculus: Calculus: A Historical Approach William McGowen Priestley, 1979 This introduction to calculus was written for liberal students, particularly for those principal interest is in the humanities. |
| serge lang first course in calculus: Pearson Etext for First Course in Abstract Algebra, a -- Access Card John B. Fraleigh, Neal Brand, 2020-05-11 For courses in Abstract Algebra. This ISBN is for the Pearson eText access card. A comprehensive approach to abstract algebra -- in a powerful eText format A First Course in Abstract Algebra, 8th Edition retains its hallmark goal of covering all the topics needed for an in-depth introduction to abstract algebra - and is designed to be relevant to future graduate students, future high school teachers, and students who intend to work in industry. New co-author Neal Brand has revised this classic text carefully and thoughtfully, drawing on years of experience teaching the course with this text to produce a meaningful and worthwhile update. This in-depth introduction gives students a firm foundation for more specialized work in algebra by including extensive explanations of the what, the how, and the why behind each method the authors choose. This revision also includes applied topics such as RSA encryption and coding theory, as well as examples of applying Gröbner bases. Key to the 8th Edition has been transforming from a print-based learning tool to a digital learning tool. The eText is packed with content and tools, such as mini-lecture videos and interactive figures, that bring course content to life for students in new ways and enhance instruction. A low-cost, loose-leaf version of the text is also available for purchase within the Pearson eText. Pearson eText is a simple-to-use, mobile-optimized, personalized reading experience. It lets students read, highlight, and take notes all in one place, even when offline. Seamlessly integrated videos and interactive figures allow students to interact with content in a dynamic manner in order to build or enhance understanding. Educators can easily customize the table of contents, schedule readings, and share their own notes with students so they see the connection between their eText and what they learn in class -- motivating them to keep reading, and keep learning. And, reading analytics offer insight into how students use the eText, helping educators tailor their instruction. Learn more about Pearson eText. NOTE: Pearson eText is a fully digital delivery of Pearson content and should only be purchased when required by your instructor. This ISBN is for the Pearson eText access card. In addition to your purchase, you will need a course invite link, provided by your instructor, to register for and use Pearson eText. 0321390369 / 9780321390363 PEARSON ETEXT -- FIRST COURSE IN ABSTRACT ALGEBRA, A -- ACCESS CARD, 8/e |
| serge lang first course in calculus: Anton's Calculus Early Transcendentals Global Edition with WileyPlus Card 11th Edition Set Howard Anton, Irl C. Bivens, Stephen Davis, 2018-03-20 |
| serge lang first course in calculus: Advanced Calculus Lynn H. Loomis, Shlomo Sternberg, 2014 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. |
| serge lang first course in calculus: Single Variable Calculus James Stewart, Daniel K. Clegg, Saleem Watson, 2020-05-13 College-level, two-semester introduction to single-variable calculus, including differential and integral calculus-- |
| serge lang first course in calculus: Algebra Serge Lang, 1969 |
| serge lang first course in calculus: A First Course in Mechanics Mary Lunn, 1991 This textbook provides a simple introduction to mechanics for students coming to the subject for the first time. The text is based on courses given to first and second year undergraduates and has been written with this audience very much in mind. Prerequisites are only a basic familiarity withvectors, matrices, and elementary calculus. The author's aim is to provide an understanding of Newtonian mechanics using the tools of modern algebra. The first chapters of the book introduce the fundamentals of the motion of rigid bodies: Newton's laws, forces, linear and angular momentum, and theconservation of energy. In the later chapters the theory of Lagrangian mechanics is developed and extended to cover applications to impulsive forces. Throughout the theory is illustrated with many worked examples and numerous exercises (some with solutions) are provided. |
| serge lang first course in calculus: Algebraic Structures Serge Lang, 1967 |
| serge lang first course in calculus: Short Calculus Serge Lang, 2012-12-06 Praise for the first edition: ..Lang's present book is a source of interesting ideas and brilliant techniques. Acta Scientiarum Mathematicarum ..It is an admirable straightforward introduction to calculus. Mathematika This is a reprint of A First Course in Calculus, which has gone through five editions since the early sixties. It covers all the topics traditionally taught in the first-year calculus sequence in a brief and elementary fashion. As sociological and educational conditions have evolved in various ways over the past four decades, it has been found worthwhile to make the original edition available again. The audience consists of those taking the first calculus course, in high school or college. The approach is the one which was successful decades ago, involving clarity, and adjusted to a time when the students' background was not as substantial as it might be. We are now back to those times, so its time to start over again. There are no epsilons-delta, but this does not imply that the book is not rigorous. Lang learned this attitude from Emil Artin, around 1950. |
Serge: A Reformed International Missions Organization
Serge is an international Christian missions organization that sends and cares for missionaries, mentors & equips ministry leaders, and develops gospel-centered resources for ongoing renewal.
Serge (fabric) - Wikipedia
Serge is a type of twill fabric that has diagonal lines or ridges on both inner and outer surfaces via a two-up, two-down weave. [1] The worsted variety is used in making military uniforms, suits, …
SERGE Definition & Meaning - Merriam-Webster
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SERGE | English meaning - Cambridge Dictionary
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SERGE Definition & Meaning | Dictionary.com
noun a twilled worsted or woolen fabric used especially for clothing. cotton, rayon, or silk in a twill weave. serge 2 [ surj ] Phonetic (Standard)IPA
About Us - Reformed Missions Organization - Serge
Formerly known as World Harvest Mission, Serge is an international Christian missions organization with over 300 missionaries in over 26 countries.
Christian Missions - Go and Grow with Us | Serge
Become a missionary with Serge - explore the life-changing opportunities for you to grow and serve around the world. Global Health, Business, Education, Church Planting, Discipleship, …
Meet Our Leadership - Serge
Serge (formerly World Harvest Mission) was organized under the leadership of Dr. Jack Miller, a pastor, evangelist and author. In the late 1970s, the missions-outreach of the congregation he …
Sergey Urman, M.D. | Ophthalmologist - Boston Vision
Meet Dr. Urman Sergey Urman, M.D. is a board-certified member of the American Board of Ophthalmology. He is also a member of the New England
Serge: A Reformed International Missions Organization
Serge is an international Christian missions organization that sends and cares for missionaries, mentors & equips ministry leaders, and develops gospel-centered resources for ongoing renewal.
Serge (fabric) - Wikipedia
Serge is a type of twill fabric that has diagonal lines or ridges on both inner and outer surfaces via a two-up, two-down weave. [1] The worsted variety is used in making military uniforms, suits, …
SERGE Definition & Meaning - Merriam-Webster
Feb 10, 2025 · The meaning of SERGE is a durable twilled fabric having a smooth clear face and a pronounced diagonal rib on the front and the back. How to use serge in a sentence.
Serge Fabric: The Durable and Classy Material You Need For Your …
Aug 19, 2022 · Serge is a type of twill fabric that has diagonal lines or ridges on both sides, made with a two-up, two-down weave. The worsted variety is used in making military uniforms, suits, …
SERGE | English meaning - Cambridge Dictionary
SERGE definition: 1. a strong cloth made from wool, used especially to make jackets and coats 2. a strong cloth made…. Learn more.
SERGE Definition & Meaning | Dictionary.com
noun a twilled worsted or woolen fabric used especially for clothing. cotton, rayon, or silk in a twill weave. serge 2 [ surj ] Phonetic (Standard)IPA
About Us - Reformed Missions Organization - Serge
Formerly known as World Harvest Mission, Serge is an international Christian missions organization with over 300 missionaries in over 26 countries.
Christian Missions - Go and Grow with Us | Serge
Become a missionary with Serge - explore the life-changing opportunities for you to grow and serve around the world. Global Health, Business, Education, Church Planting, Discipleship, …
Meet Our Leadership - Serge
Serge (formerly World Harvest Mission) was organized under the leadership of Dr. Jack Miller, a pastor, evangelist and author. In the late 1970s, the missions-outreach of the congregation he …
Sergey Urman, M.D. | Ophthalmologist - Boston Vision
Meet Dr. Urman Sergey Urman, M.D. is a board-certified member of the American Board of Ophthalmology. He is also a member of the New England
