Lang, Serge (2005). Undergraduate algebra. Undergraduate Texts in Mathematics (Third edition of 1990 originaled.). New York: Springer-Verlag. doi: 10.1007/0-387-27475-8. ISBN 0-387-22025-9. The 1990 first edition was itself a second edition of Algebraic Structures (1967) O'Connor, John J.; Robertson, Edmund F., "Serge Lang", MacTutor History of Mathematics Archive, University of St Andrews The basic topics covered doesn't necessarily mean that the book will be easy; this was my first introduction to proofs, and to trying to create my own (which I often failed at doing). However, even if I knew most of the material already (like that a negative number multiplied by a negative number results in a positive number), I had never known the reasoning behind why this was true. The logical approach presented taught me a different, more effective way to learn mathematics. Lang even has an entire section (somewhere after chapter 3, I think) where he simply covers logic and some notation, to help the reader get a better grasp of the idea. Lang, Serge (1997). Undergraduate analysis. Undergraduate Texts in Mathematics (Seconded.). New York: Springer-Verlag. doi: 10.1007/978-1-4757-2698-5. ISBN 0-387-94841-4. MR 1476913. The first edition (1983) of this title was itself the second edition of Analysis I (1968)

Basic mathematics : Lang, Serge, 1927-2005 : Free Download

From April 1999 Notices of the AMS, announcing that the author was awarded the Leroy P. Steele Prize for Mathematical Exposition for his many mathematics books: "Lang's Algebra changed the way graduate algebra is taught, retaining classical topics but introducing language and ways of thinking from category theory and homological algebra. It has affected all subsequent graduate-level algebra books." Lang, S. (1997), Survey of Diophantine geometry, Berlin: Springer-Verlag, ISBN 3-540-61223-8, Zbl 0869.11051 Lang, Serge (1983). Abelian varieties (Reprint of 1959 originaled.). New York–Berlin: Springer-Verlag. doi: 10.1007/978-1-4419-8534-7. ISBN 0-387-90875-7. MR 0713430.Lang, Serge (1986). Introduction to linear algebra. Undergraduate Texts in Mathematics (Second edition of 1970 originaled.). New York: Springer-Verlag. doi: 10.1007/978-1-4612-1070-2. ISBN 978-0-387-96205-4. S2CID 117514050. a b Lang, Serge (1981). The File: Case Study in Correction (1977-1979). New York, NY: Springer New York. doi: 10.1007/978-1-4613-8145-7. ISBN 978-1-4613-8145-7 . Retrieved 4 May 2022.

Basic Mathematics by Serge Lang - Physics Forums Basic Mathematics by Serge Lang - Physics Forums

Lang spent much of his professional time engaged in political activism. He was a staunch socialist and active in opposition to the Vietnam War, volunteering for the 1966 anti-war campaign of Robert Scheer (the subject of his book The Scheer Campaign). [ citation needed] Lang later quit his position at Columbia in 1971 in protest over the university's treatment of anti-war protesters. Lang was born in Saint-Germain-en-Laye, close to Paris, in 1927. He had a twin brother who became a basketball coach and a sister who became an actress. [2] Lang moved with his family to California as a teenager, where he graduated in 1943 from Beverly Hills High School. He subsequently graduated with an AB from the California Institute of Technology in 1946. He then received a PhD in mathematics from Princeton University in 1951. He held faculty positions at the University of Chicago, Columbia University (from 1955, leaving in 1971 in a dispute), and Yale University. Langlands, R. P. (1976). " SL 2(R), by Serge Lang" (PDF). Bull. Amer. Math. Soc. 82 (5): 688–691. doi: 10.1090/s0002-9904-1976-14109-2. Access-restricted-item true Addeddate 2022-11-11 00:01:31 Autocrop_version 0.0.14_books-20220331-0.2 Bookplateleaf 0008 Boxid IA40762718 Camera USB PTP Class Camera Collection_set printdisabled External-identifier

Corwin, Lawrence (1972). "Review: Algebraic Number Theory by Serge Lang" (PDF). Bull. Amer. Math. Soc. 78 (5): 690–693. doi: 10.1090/s0002-9904-1972-12984-7. I went through most of this book due to MicroMass's recommendation a little while ago, and really enjoyed my first introduction to real mathematics, and not the garbage I was/am being taught in middle/high school.

Serge Lang | Open Library Serge Lang | Open Library

Lang, Serge (1993). Real and functional analysis. Graduate Texts in Mathematics. Vol.142 (Thirded.). New York: Springer-Verlag. doi: 10.1007/978-1-4612-0897-6. ISBN 0-387-94001-4. MR 1216137. This book is the third edition, previously published under the different titles of Analysis II (1968) and Real Analysis (1983) Niven, Ivan (1970-01-01). "Review of A Second Course in Calculus". Mathematics Magazine. 43 (5): 277–278. doi: 10.2307/2688750. JSTOR 2688750. Lang, Serge; Trotter, Hale (1976). Frobenius Distributions in GL2-Extensions. Lecture Notes in Mathematics. Vol.504. Berlin–New York: Springer-Verlag. doi: 10.1007/BFb0082087. ISBN 978-3-540-07550-9. MR 0568299. Lang was a prolific writer of mathematical texts, often completing one on his summer vacation. Most are at the graduate level. He wrote calculus texts and also prepared a book on group cohomology for Bourbaki. Lang's Algebra, a graduate-level introduction to abstract algebra, was a highly influential text that ran through numerous updated editions. His Steele prize citation stated, "Lang's Algebra changed the way graduate algebra is taught...It has affected all subsequent graduate-level algebra books." It contained ideas of his teacher, Artin; some of the most interesting passages in Algebraic Number Theory also reflect Artin's influence and ideas that might otherwise not have been published in that or any form.

Lang, Serge (1987). Elliptic functions. Graduate Texts in Mathematics. Vol.112. With an appendix by J. Tate (Second edition of 1973 originaled.). New York: Springer-Verlag. doi: 10.1007/978-1-4612-4752-4. ISBN 0-387-96508-4. MR 0890960. [22] Lang, Serge (1999). Complex analysis. Graduate Texts in Mathematics. Vol.103 (Fourth edition of 1977 originaled.). New York: Springer-Verlag. doi: 10.1007/978-1-4757-3083-8. ISBN 0-387-98592-1. MR 1659317. As an activist, Lang campaigned against the Vietnam War, and also successfully fought against the nomination of the political scientist Samuel P. Huntington to the National Academies of Science. Later in his life, Lang was an HIV/AIDS denialist. He claimed that HIV had not been proven to cause AIDS and protested Yale's research into HIV/AIDS. [1] Early life [ edit ]

Basic Mathematics by Serge Lang algebra precalculus - Is Basic Mathematics by Serge Lang

Johnson, George; Laura Mansnerus (May 3, 1987). "Science Academy Rejects Harvard Political Scientist". New York Times . Retrieved August 13, 2010. A fantastically well written math book which gives a serious treatment to the foundations of mathematics. Covers more than your typical high school which goes as far as covers elementary topics in linear algebra as well as introducing a heavier leniency on geometry which has sadly been neglected in modern times. Shakarchi, Rami (1996). Solutions manual for Lang's "Linear Algebra". New York: Springer-Verlag. doi: 10.1007/978-1-4612-0755-9. ISBN 0-387-94760-4. MR 1415837.This book is truly one of a kind. This is a book on basic mathematics, written from the point-of-view of an advanced mathematician. Do not expect many plug-and-chug exercises that just drill the method into you. Do not expect silly notions such as "it is important to rationalize the denominator", it is not. What you should expect is a book that teaches what mathematics really is about. It teaches proofs and logic as a foundation of mathematics. Lang, Serge (1987). Introduction to complex hyperbolic spaces. New York: Springer-Verlag. doi: 10.1007/978-1-4757-1945-1. ISBN 0-387-96447-9. MR 0886677. [23] Edit: I forgot to answer the part about trigonometry. Plane trigonometry can be divided roughly into two parts: (1) geometric applications to triangles, quadrilaterals, etc.; (2) analytic trigonometry, which involves various algebraic manipulations of trigonometric functions. For the more advanced aspects of (1), good knowledge of (2) is necessary. Meacham, R. C. (1966-01-01). "Review of A Second Course in Calculus". Mathematics Magazine. 39 (2): 124. doi: 10.2307/2688730. JSTOR 2688730.