1. Mathematics for Degree Students for B.Sc. 1st Year

Author : Mittal P.K.

Table of Contents: Algebra

1. Functions And Relations
2. Congruence Of Integers
3. Some Special Types Of Matrices
4. Elementary Operations And Inverse Of A Matrix
5. Linear Dependance Of Vectors
6. Rank Of A Matrix
7. Linear Equations
8. Characteristic Roots Of Vectors
9. Theory Of Equations

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2. Contemporary Abstract Algebra

Author : Joseph A Gallian

Contemporary abstract Algebra, ninth edition provides a solid introduction to the traditional topics in abstract Algebra while conveying to students that it is a contemporary subject used daily by working mathematicians, computer scientists, physicists, and chemists. The text includes numerous figures, tables, photographs, charts, biographies, computer exercises, and suggested readings giving the subject a current feel which makes the content interesting and relevant for students.

3. Introduction to Algorithms, 3Ed. (International Edition)

Author : T Cormen, C Leiserson, R Rivest, C Stein

A new edition of the essential text and professional reference, with substantial new material on such topics as vEB trees, multithreaded algorithms, dynamic programming, and edge-based flow. Some books on algorithms are rigorous but incomplete; others cover masses of material but lack rigor. Introduction to Algorithms uniquely combines rigor and comprehensiveness. The book covers a broad range of algorithms in depth, yet makes their design and analysis accessible to all levels of readers. Each chapter is relatively self-contained and can be used as a unit of study. The algorithms are described in English and in a pseudocode designed to be readable by anyone who has done a little programming. The explanations have been kept elementary without sacrificing depth of coverage or mathematical rigor. The first edition became a widely used text in universities worldwide as well as the standard reference for professionals.

4. The Calculus Lifesaver – All the Tools You Need to Excel at Calculus

Author : Adrian Banner

For many students, calculus can be the most mystifying and frustrating course they will ever take. The Calculus Lifesaver provides students with the essential tools they need not only to learn calculus, but to excel at it. All of the material in this user-friendly study guide has been proven to get results. The book arose from Adrian Banner's popular calculus review course at Princeton University, which he developed especially for students who are motivated to earn A's but get only average grades on exams. The complete course will be available for free on the Web in a series of videotaped lectures. This study guide works as a supplement to any single-variable calculus course or textbook. Coupled with a selection of exercises, the book can also be used as a textbook in its own right. The style is informal, non-intimidating, and even entertaining, without sacrificing comprehensiveness.

5. A Textbook of B.Sc. Mathematics - Vol. 1

Author : V. Venkateshwara Rao, N. Krishna Murthy, B.V.S.S. Sarma, S. Anjaneya Sastry

Trying to escape angry dogs, a Fox falls into a well in the forest. Stuck inside, the cunning Fox uses a silly goat to get out of the well. But how? Find out in this fun tale!

6. MATHEMATICS - (VECTOR ANALYSIS AND GEOMETRY) (PAPER-3) - B.SC. 1ST YEAR SERIES

Author : PROF. AYAZ A. PATHAN

combo pack = mathematics - (algebra and trigonometry) (paper-1) + mathematics - (calculus and differential equations) (paper-2) + mathematics - (vector analysis and geometry) (paper-3)

7. Ordinary and Partial Differential Equations

Author : Dr. M.D. Raisinghania

Ordinary and Partial Differential Equations is a comprehensive treatise on the subject with the book divided in three parts for ease of understanding. The book is replete with up to date examples and questions. The three parts divide the book so there is progression of thought and constancy - The first part on Elementary Differential Equations covers fundamental topics such as Equations of Special Forms and Linear Differential Equations of the Second Order. The second part on Advanced Ordinary Differential Equations and Special Functions covers important topics such as Fourier Series, Bessel Functions and Orthogonal Set of Functions and Strum-Liouville Problem among others. The third part on Partial Differential Equations deals aptly with topics such as Linear and Non-Linear Partial Differential Equations of Order One, Riemann Method and Monge's Method.

8. Some Current Topics on Nonlinear Conservation Laws

Author : Ling Hsiao, Zhouping Xin

This volume resulted from a year-long program at the Morningside Center of Mathematics at the Academia Sinica in Beijing. It presents an overview of nonlinear conversation laws and introduces developments in this expanding field. Zhouping Xin's introductory overview of the subject is followed by lecture notes of leading experts who have made fundamental contributions to this field of research. This collection of lectures represents previously unpublished expository and research results of experts in nonlinear conservation laws and is an excellent reference for researchers and advanced graduate students in the areas of nonlinear partial differential equations and nonlinear analysis. Titles in this series are co-published with International Press, Cambridge, MA.

9. Linear Algebra and Its Applications plus

Author : David C. Lay, Steven R. Lay, Judi J. McDonald

David C. Lay holds a B.A. from Aurora University (Illinois), and an M.A. and Ph.D. from the University of California at Los Angeles. David Lay has been an educator and research mathematician since 1966, mostly at the University of Maryland, College Park. He has also served as a visiting professor at the University of Amsterdam, the Free University in Amsterdam, and the University of Kaiserslautern, Germany. He has published more than 30 research articles on functional analysis and linear algebra. As a founding member of the NSF-sponsored Linear Algebra Curriculum Study Group, David Lay has been a leader in the current movement to modernize the linear algebra curriculum. Lay is also a coauthor of several mathematics texts, including Introduction to Functional Analysis with Angus E. Taylor, Calculus and Its Applications, with L. J. Goldstein and D. I. Schneider, and Linear Algebra Gems–Assets for Undergraduate Mathematics, with D. Carlson, C. R. Johnson, and A. D. Porter. David Lay has received four university awards for teaching excellence, including, in 1996, the title of Distinguished Scholar—Teacher of the University of Maryland. In 1994, he was given one of the Mathematical Association of America’s Awards for Distinguished College or University Teaching of Mathematics.

10. Guide To Distribution Theory And Fourier Transforms

Author :Robert S. Strichartz

This important book provides a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations. The author clearly presents the ideas, precise statements of theorems, and explanations of ideas behind the proofs. Methods in which techniques are used in applications are illustrated, and many problems are included. The book also introduces several significant recent topics, including pseudodifferential operators, wave front sets, wavelets, and quasicrystals. Background mathematical prerequisites have been kept to a minimum, with only a knowledge of multidimensional calculus and basic complex variables needed to fully understand the concepts in the book.A Guide to Distribution Theory and Fourier Transforms can serve as a textbook for parts of a course on Applied Analysis or Methods of Mathematical Physics, and in fact it is used that way at Cornell.