I Want to Be a Mathematician: An Automathography
Author: Paul R. Halmos
Publisher: American Mathematical Soc.
Published: 2020-08-03
Total Pages: 421
ISBN-13: 1470459167
DOWNLOAD EBOOK →Lanterna Rally
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How to Write Mathematics
Author: Norman Earl Steenrod
Publisher: American Mathematical Soc.
Published: 1973-12-31
Total Pages: 76
ISBN-13: 9780821896785
DOWNLOAD EBOOK →This classic guide contains four essays on writing mathematical books and papers at the research level and at the level of graduate texts. The authors are all well known for their writing skills, as well as their mathematical accomplishments. The first essay, by Steenrod, discusses writing books, either monographs or textbooks. He gives both general and specific advice, getting into such details as the need for a good introduction. The longest essay is by Halmos, and contains many of the pieces of his advice that are repeated even today: In order to say something well you must have something to say; write for someone; think about the alphabet. Halmos's advice is systematic and practical. Schiffer addresses the issue by examining four types of mathematical writing: research paper, monograph, survey, and textbook, and gives advice for each form of exposition. Dieudonne's contribution is mostly a commentary on the earlier essays, with clear statements of where he disagrees with his coauthors. The advice in this small book will be useful to mathematicians at all levels.
Proofs and Refutations
Author: Imre Lakatos
Publisher: Cambridge University Press
Published: 1976
Total Pages: 190
ISBN-13: 9780521290388
DOWNLOAD EBOOK →Proofs and Refutations is for those interested in the methodology, philosophy and history of mathematics.
Mathematical Writing
Author: Donald E. Knuth
Publisher: Cambridge University Press
Published: 1989
Total Pages: 132
ISBN-13: 9780883850633
DOWNLOAD EBOOK →This book will help those wishing to teach a course in technical writing, or who wish to write themselves.
What Is Mathematics, Really?
Author: Reuben Hersh
Publisher: Oxford University Press
Published: 1997-08-21
Total Pages: 368
ISBN-13: 0198027362
DOWNLOAD EBOOK →Most philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Hersh pulls the screen back to reveal mathematics as seen by professionals, debunking many mathematical myths, and demonstrating how the "humanist" idea of the nature of mathematics more closely resembles how mathematicians actually work. At the heart of his book is a fascinating historical account of the mainstream of philosophy--ranging from Pythagoras, Descartes, and Spinoza, to Bertrand Russell, David Hilbert, and Rudolph Carnap--followed by the mavericks who saw mathematics as a human artifact, including Aristotle, Locke, Hume, Mill, and Lakatos. What is Mathematics, Really? reflects an insider's view of mathematical life, and will be hotly debated by anyone with an interest in mathematics or the philosophy of science.
Handbook of Writing for the Mathematical Sciences
Author: Nicholas J. Higham
Publisher: SIAM
Published: 1998-08-01
Total Pages: 304
ISBN-13: 0898714206
DOWNLOAD EBOOK →Nick Higham follows up his successful HWMS volume with this much-anticipated second edition.
Linear Algebra Problem Book
Author: Paul R. Halmos
Publisher: American Mathematical Soc.
Published: 1995-12-31
Total Pages: 333
ISBN-13: 1614442126
DOWNLOAD EBOOK →Linear Algebra Problem Book can be either the main course or the dessert for someone who needs linear algebraand today that means every user of mathematics. It can be used as the basis of either an official course or a program of private study. If used as a course, the book can stand by itself, or if so desired, it can be stirred in with a standard linear algebra course as the seasoning that provides the interest, the challenge, and the motivation that is needed by experienced scholars as much as by beginning students. The best way to learn is to do, and the purpose of this book is to get the reader to DO linear algebra. The approach is Socratic: first ask a question, then give a hint (if necessary), then, finally, for security and completeness, provide the detailed answer.
Reading, Writing, and Proving
Author: Ulrich Daepp
Publisher: Springer Science & Business Media
Published: 2006-04-18
Total Pages: 391
ISBN-13: 0387215603
DOWNLOAD EBOOK →This book, based on Pólya's method of problem solving, aids students in their transition to higher-level mathematics. It begins by providing a great deal of guidance on how to approach definitions, examples, and theorems in mathematics and ends by providing projects for independent study. Students will follow Pólya's four step process: learn to understand the problem; devise a plan to solve the problem; carry out that plan; and look back and check what the results told them.
Foundations of Discrete Mathematics with Algorithms and Programming
Author: R. Balakrishnan
Publisher: CRC Press
Published: 2018-10-26
Total Pages: 361
ISBN-13: 1351019120
DOWNLOAD EBOOK →Discrete Mathematics has permeated the whole of mathematics so much so it has now come to be taught even at the high school level. This book presents the basics of Discrete Mathematics and its applications to day-to-day problems in several areas. This book is intended for undergraduate students of Computer Science, Mathematics and Engineering. A number of examples have been given to enhance the understanding of concepts. The programming languages used are Pascal and C.
The Proof is in the Pudding
Author: Steven G. Krantz
Publisher: Springer Science & Business Media
Published: 2011-05-13
Total Pages: 277
ISBN-13: 0387487441
DOWNLOAD EBOOK →This text explores the many transformations that the mathematical proof has undergone from its inception to its versatile, present-day use, considering the advent of high-speed computing machines. Though there are many truths to be discovered in this book, by the end it is clear that there is no formalized approach or standard method of discovery to date. Most of the proofs are discussed in detail with figures and equations accompanying them, allowing both the professional mathematician and those less familiar with mathematics to derive the same joy from reading this book.
