Math Books

🏷🏷Algebraic and Differential Equations Linear algebra and differential equations represent cornerstone courses in undergraduate mathematics. This innovative textbook approaches these subjects both individually and in conjunction. Covering a year's worth of material, it includes comprehensive treatments of Fourier and Laplace transforms, as well as advanced topics such as the Fast Fourier Transform and Singular Value Decomposition. Aimed at undergraduate students studying either differential equations or linear algebra, or both concurrently, this book provides essential knowledge for mastering these fundamental mathematical concepts.

📖 A Beginner's Handbook to Coding and Information Theory This concise handbook offers a beginner-friendly introduction to the engineering principles behind modern communication systems, spanning from mobile technology to data compression and storage. With minimal reliance on complex mathematics, readers with a basic understanding of high-school math can readily grasp the content. Starting with practical applications in coding such as the repetition code, Hamming code, and Huffman code, the authors then delve into information theory concepts like entropy, mutual information, and channel capacity. Throughout the book, numerous worked examples illuminate theoretical concepts using real-world scenarios, while included exercises offer opportunities for readers to reinforce their understanding and explore advanced topics. Whether seeking a quick introduction or a refresher on the subject, this handbook serves as an accessible entry point into coding and information theory.

📔 A Beginner's Handbook to Waves Waves play a crucial role in various scientific fields, yet their mathematical complexities often pose challenges for students. Designed to complement standard course materials, this handbook targets the core concepts that students frequently struggle with. Following the successful approach of Fleisch's other instructional guides, this book employs straightforward language to elucidate fundamental principles in an accessible manner. Through a wealth of exercises and worked examples, readers can gauge their comprehension and strengthen their grasp of this intricate subject.

📖 Unlocking Laplace Transforms: A Student's Companion Navigating the realm of Laplace transforms can be daunting for students grappling with its applications in physics, engineering, and applied mathematics. In this comprehensive guide, author demystifies Laplace transforms, shedding light on their significance in mechanics, electronics, thermodynamics, and beyond. Drawing from his acclaimed teaching approach, author delves into the intricacies of Laplace transforms, elucidating their connection to Fourier and Z-transforms. With clarity and precision, this book unravels complex concepts through a plethora of fully worked examples, ensuring accessibility for students at all levels. Complemented by a wealth of online resources, including interactive solutions and enlightening podcasts, this guide is an indispensable companion for mastering Laplace transforms.

📖 Navigating Special Relativity: A Student's Pathway Embark on an illuminating journey through Special Relativity with this concise yet enlightening guide. Embracing a contemporary axiomatic and geometrical approach, it elucidates Einstein's postulates and unveils their repercussions, including length contraction and time dilation, both qualitatively and quantitatively. The mathematical underpinning of the Lorentz transformation is deftly employed to intertwine these concepts, paving the way for their application in kinematics and dynamics. Despite the inherent challenges and apparent paradoxes, this volume underscores the inherent simplicity of Special Relativity's core tenets. Designed as a supplemental resource for intermediate undergraduates and autodidacts with some technical acumen, the guide offers a plethora of exercises complemented by online hints and notes. With a brief foray into General Relativity in an appendix, it lays a robust groundwork for deeper exploration in the field.

📖 Exploring Vectors and Tensors: A Comprehensive Student's Companion Delving into the realm of exterior differential forms, this graduate-level text unveils their potency in analyzing a spectrum of mathematical conundrums across the physical and engineering domains. While its primary audience comprises graduate-level engineers and physical scientists, it has also proven effective in acquainting graduate mathematics students with contemporary differential geometry. With 45 illustrative depictions, this comprehensive guide promises an enlightening journey into modern mathematical analysis.

📖 A Student's Journey through Maxwell's Equations Unlock the mysteries of Maxwell's Equations with this comprehensive guide tailored for students. Delve into Gauss's law for electric fields, Gauss's law for magnetic fields, Faraday's law, and the Ampere-Maxwell law, with each equation receiving dedicated attention in its own chapter. Gain a deep understanding of the physical significance behind each symbol in both integral and differential forms. Concluding with the synthesis of Maxwell's equations to form the wave equation, laying the groundwork for the electromagnetic theory of light, this book is an invaluable asset for undergraduate and graduate courses in electromagnetism and electromagnetics.

📖 Math Illustrated: A Visual Approach to Understanding Math Discover the visual side of math and witness how it all comes together with Math Illustrated. This unique resource blends logical math concepts with vibrant visuals, providing clarity where confusion once reigned. Through a combination of pictures, graphs, and diagrams, complex math ideas become tangible, helping you grasp concepts in number properties, fractions, ratios, algebra, geometry, and beyond. Tailored for learners who struggle with traditional math approaches, this book offers detailed, image-based instructions to guide you through problem-solving step by step. Say goodbye to math mysteries and embrace a newfound clarity with Math Illustrated.

📖 Mathematics for Graduate School: A Comprehensive Overview This book offers a broad exploration of mathematical topics crucial for graduate studies, ranging from sets to vector analysis to geometry and differential equations. While lacking in rigorous depth, it serves as a valuable survey resource, providing a brief overview of key concepts and directing readers to further study materials. With a conversational tone and readable style, it is ideal for graduate students in mathematics or the sciences seeking to refresh their understanding of foundational mathematical concepts.

📖 Mastering Algebra for Electric Circuits Unlock the power of practical math for planning, designing, and problem-solving in electric circuits with "Mastering Algebra for Electric Circuits." Authored by Ken Jenkins, this comprehensive guide is tailored to upgrade your career-enhancing math skills and support technological innovation. Each chapter is designed as a self-contained unit, allowing you to learn at your own pace without the hassle of searching for connections or background information. With worked-out questions, solutions, and final exams included, you'll find it easy to grasp complex concepts and apply them to real-world scenarios. This self-teaching text goes beyond elementary algebra, offering circuit-focused applications, illustrations, and examples that bridge theory with practical application. Special emphasis is placed on the algebra of logic and matrices, providing essential tools for understanding and analyzing electric circuits. With hundreds of practical problems and over 300 illustrations, "Mastering Algebra for Electric Circuits" is your go-to resource for mastering algebraic concepts and enhancing your proficiency in electric circuit design and analysis. Dive into the world of algebra for electric circuits and propel your career to new heights.